diff --git "a/data/dm_maths/full_data_2/11123_11255.jsonl" "b/data/dm_maths/full_data_2/11123_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11123_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is (3\/(210\/(-40)))\/(16\/(-132))?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 18*s**2 - 4*s - 4. Does 15 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 2*o**2 + 2 - 2 to f*o**2 + d + m*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 7*x**2 + 6*x - 70. Let v be 15*4\/36*3. Let w be g(v). Calculate the highest common factor of 30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21322 (base 5) to base 6\nAnswer: 10434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 17 = 5*n + 6*i, 3*n - 5*i = 15. Put -416, n, -2 in descending order.\nAnswer: n, -2, -416","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035000 is divided by 206997?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 2*h - 16. What is the remainder when 66 is divided by s(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12\/11, -5\/3, 2, -2?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(693\/(-4477) - 28\/(-154))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 24 = -j. Suppose -3*d = -j*d + 60. Suppose 6*w - d = -0*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/3, 0.08, 0.193 in ascending order.\nAnswer: -1\/3, 0.08, 0.193, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**2 - 9028758*l - 6793205918547 = 0 for l.\nAnswer: -1504793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -3*((-2*sqrt(252))**2 + sqrt(252)) + (sqrt(252) - (-4 + -1*sqrt(252)))**2 + sqrt(252) + 3.\nAnswer: -1997 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(-4)\/3*(1375776\/64)\/281\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003561 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41 + 0\/6 + (-63)\/14 + 6. Put o, 9, -4 in descending order.\nAnswer: o, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*a - 2541 - 3511 = 0. Suppose 0 = -4*w - 22 + 254. What is the remainder when w is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 490*r**2 - 5*r + 1234. Determine o(245).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -185090 (b) -2\/13 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 + 1.1. Let j = -7 - x. Let z = -6 - j. Put -0.2, z, -5 in decreasing order.\nAnswer: -0.2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from ssdds.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373 is divided by 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2542 and 52480?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 3, e: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -3.88?\nAnswer: -1.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n + 10*n - 7*n - n.\nAnswer: 17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y)\/y**0)**(-40) assuming y is positive.\nAnswer: y**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47887 less than or equal to 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 9*h + 10. Let f be i(4). Let u be f\/(18\/57) + -2. Suppose 3*g = u - 14. What is the greatest common divisor of 5 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17883278463 and -14?\nAnswer: 17883278449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**5\/30 + i**4\/24 - i**3\/9 - 243. Factor l(p).\nAnswer: p**2*(p - 1)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.64 - -1.51. Which is bigger: -9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -91*a**2 - 2*a - 15. Let y(q) = -61*q**2 - q - 11. Determine -5*h(p) + 7*y(p).\nAnswer: 28*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 12 = 13*o. Find the first derivative of 18 - 4 - o*a - 28 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23*k*p**3 - 79*k - 72*p**4 - 4 wrt p.\nAnswer: 69*k*p**2 - 288*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 3552.\nAnswer: 7\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(-5*(sqrt(176) + sqrt(99) + 0))**2.\nAnswer: 202125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278933.4ug to nanograms.\nAnswer: 278933400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from ggddggdggdgggggggdg.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 13*w + 24. Let h(d) = 3*d**2 - 14*d + 24. Let t(v) = -5*a(v) + 4*h(v). What is the remainder when t(-9) is divided by 32 + (1 - 2) + -1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/((q**(4\/5)*q)\/q*q)*(q\/q**(4\/13))\/q*(((q**(-4)\/q)\/q)\/q*q)\/q*q**(4\/3) assuming q is positive.\nAnswer: q**(-1126\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q - 27987. Let k(r) = 5*r. Calculate k(o(t)).\nAnswer: 35*t - 139935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217\/42 + (-35)\/(-42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3880*b**2 + 3*b. Let v(h) = -7768*h**2 + 6*h. What is 5*p(m) - 3*v(m)?\nAnswer: 3904*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 8.2. Let d = 0.2 + b. Is d at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v + 3*v + v + 4*v - v + v + 3 - 3 + 3*v - 6*v + 4*v + (3 - 5 + 0)*(-v + 2*v - 3*v) + 5*v + 2*v - 5*v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/223?\nAnswer: 6\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -401111 (base 5) to base 13\nAnswer: -59b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -4450.7 + 4455. Let b = -20443 - -20447.3026. Let h = b - s. Round h to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 650117084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1134 - 195 - 14475 - 4209)*(-s + 5*s - s).\nAnswer: -53235*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5051 and 2050.\nAnswer: 10354550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8 + 1 + 36*q**2 - 37*q**2 + q**3. What is m(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*f + 63*f - 12*f**2)*(-f + 1 - 1)*(-8*f + 2 - 2) to o*f**3 + w*f**4 + a + j*f + r*f**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 18\/45) + 247\/5. Let r be (-1 + a\/15)*108. Calculate the highest common divisor of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -1\/5*b**2 + 2\/15*b**3 + 0*b + 8. Let y(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 - 39. Solve x*h = -0*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**5\/60 + 11*h**4\/24 + h**3\/2 - 5*h**2. Let x be s(-12). Let p be ((-8)\/5*-1)\/(6\/x). Solve 7*j - p*j = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.016 - -0.016051. Round q to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 458*l**2 - 917*l**2 + 32*l**3 - 10*l**4 - 5*l + 458*l**2 + 5*l + 2 in the form n*l**4 + c*l + p + w*l**3 + t*l**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (4 - 3\/3). Let j = -82984 + 82983. Put j, w, 101 in decreasing order.\nAnswer: 101, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**2)**29)**(-12)*(q**(4\/9)*q**(-7))**33 assuming q is positive.\nAnswer: q**(-3781\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*m**4 + 20*m**4 + 56*m**4 - 2)*(14*m + 17*m - 62*m).\nAnswer: -1178*m**5 + 62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11600955.\nAnswer: 3, 5, 85933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6*b - 6. Calculate the remainder when 3*13 + (0 - -1) is divided by 2\/12*28*b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0938, 3, -1, -5 in increasing order.\nAnswer: -5, -1, -0.0938, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3776 + 3723. Which is the nearest to u? (a) 0.1 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)*4 + -5 + -2*1*(sqrt(76) + 0 - sqrt(76)))*-5.\nAnswer: -40*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(19) + 2 + 5).\nAnswer: 3*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 + 47*q**2 - 6*q - 4. Give v(-16).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 197*t**2 - 25*t - 1. Let j(l) = -l**2 - l - 1. Let p(w) = -2*j(w) + z(w). Find the second derivative of p(n) wrt n.\nAnswer: 398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073101 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 20*b**2 - b - 5. Calculate a(-19).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*q - 278, -5*q + 5*x = -0*q - 370. Suppose 0 = 4*w - 10*w + q. Factor 15*r + 25 + 9*r**2 - 15*r**3 - w*r**2 - 22*r**2.\nAnswer: -5*(r - 1)*(r + 1)*(3*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1079*z - 108. Let w(g) = 289170*g - 28917. Calculate 1071*f(q) - 4*w(q).\nAnswer: -1071*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46110 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.4 in 0.1, 0.6, 5, 1\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -17263833*i**2 + 31094*i - 15547. Let b(d) = -2221*d**2 + 4*d - 2. Determine -15547*b(u) + 2*j(u).\nAnswer: 2221*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94*w**6 + 51*w**2 - 29 - 18*w**4 - 36 + 71 + 2*w - 110*w**2 - 105*w**2 wrt w?\nAnswer: -11280*w**3 - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (2 - 32) + 8 + -3\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 775\/2, 5, 2.2 in descending order.\nAnswer: 775\/2, 5, 2.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-45))\/(6\/(-18)). Let h(x) = 33*x**3 + x + 1. Give h(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 + -1023 - (12 - (2 + (-3 - -1)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220664 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121102101200221 (base 3) to base 12.\nAnswer: -2b0a68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Calculate the remainder when r(1) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w. Let c be u(-1). Suppose -3*i - 24 = -2*i - c*b, -2*b = 4*i - 14. Suppose -76 = 12*t - 31*t. Put t, -4, i in ascending order.\nAnswer: -4, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 315, 300, 295, 300, 315, 340, 375?\n\"Answer: 5*c**2 - 30*c + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -2)**2 - -2*1*sqrt(5).\nAnswer: -22*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -26. Let t be 7\/2 - (-14)\/28. Let p(k) = -k + 8. Let j be p(t). Sort j, y, 2 in descending order.\nAnswer: j, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1269 - 1070 + 6*i**2 - 8*i**2 to the form m + u*i + k*i**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 590 - 592. Sort 1.8, h, -0.5 in increasing order.\nAnswer: h, -0.5, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 34987094 in descending order.\nAnswer: 34987094, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/27 - -94\/135. Which is the closest to g? (a) -1 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1900) + sqrt(1900) + 2*sqrt(1900) + -2 - -4*(sqrt(1900) + -1)) + -3)**2.\nAnswer: -4320*sqrt(19) + 365043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 divided by -3?\nAnswer: -401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**3 - 3*x**3 + 0*x**3 + (12*x - 1 - 9*x - 5*x)*(2*x**2 - x**2 - 3*x**2).\nAnswer: 3*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v**2 - 4*v + 1445207. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.71989l in millilitres?\nAnswer: 8719.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210401 (base 5) in base 3?\nAnswer: -1011000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6, 3*n - 22475 + 112434 = 4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 14. Let r be u(12). Suppose 22 = 2*w + z, r*w = -w - 3*z + 33. Solve -h - 4*h - a = w, 2*a = 3*h + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 9*f + 8. Let o be q(-8). Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3404414 divided by -17\nAnswer: -3404414\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 266523*k + 122730 wrt k.\nAnswer: 266523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 36. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 248 - 11. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*l = 43, 2*d - 51869*l - 16 = -51868*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from aqaaamaaaaqaamamaqa?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1619*c**2*l**2 - 35*c**2*l*v**2 - c**2*l*v + 2*c**2*v + 3*c*l**2*v**2 - 8*c*l wrt l?\nAnswer: -3238*c**2 + 6*c*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*u - 8 = -23, -u + 25 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 + 0*g**3 - g + 0*g + 152*g**2 - 152*g**2 + 33 to the form s*g**2 + b + q*g + k*g**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13691622 and 3911892?\nAnswer: 27383244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w - 34. Determine x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**3 - 2*q**2 + 2*q + 2. Let c(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 - 12. What is -b(w) + 2*c(w)?\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 8 + 3 + 10 - 7 + (-4 + 0 + 3)*(-3 + 3 - 2))*(-c + c**3 + c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let v be w(-5). Let t = 13 + v. Let u = t + 15. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2.19 (b) 4 (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**8*r)\/r))\/(r\/r**2))\/(r**(1\/4)*r\/r**(-5\/4)) assuming r is positive.\nAnswer: r**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-158 - 10)*(351\/72)\/(-39)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2618*w + 18622 + 13193 = -6474 - 21925 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:57 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.5 - -14.02. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**6\/105 - 3*a**5\/70 + a**4\/14 - a**3\/21 + 2*a - 4. Let r(x) be the first derivative of p(x). Let r(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - q**4 + (2*q**4 - 28*q**4 - 27*q**4)*(1 + 3 - 1).\nAnswer: -160*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4 = v. Let i = v + 1. Let r(g) = 2*g**2 + 4*g - 1. What is the least common multiple of i and r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -129. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 2, x: 1, c: 1, o: 1, k: 1}. Give prob of sequence bk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + s - 21 = 2*r, -3 = -s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/4)\/((-1509390)\/2767336 - 180\/(-330))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1853, 7383, 16609, 29537, 46173, 66523?\nAnswer: 90593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936905647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/23 and -65\/9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4912 is divided by 2445.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131\/6 + 505\/12. Let m = 55285\/6 + -9236. Find the common denominator of v and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14)\/(z\/(z*z**(-10\/9))))\/(z**(-4\/5)*z*z**(-3\/14)) assuming z is positive.\nAnswer: z**(-9511\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1905141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-35))\/(2136\/(-8900)*1\/4)?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:04 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, 0.14, -100, 2\/283?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47819?\nAnswer: 47819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3787, -3749, -3707, -3661, -3611?\nAnswer: -3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 937824 equal to 938210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-40) - 7\/(-5))*0. Suppose i = -8*y - 16*y + 48. Solve -y*z + 6*z = 2*x + 12, -5*z = -3*x - 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -160, 22, -6, 31 in descending order.\nAnswer: 31, 22, 4, -6, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2079, 2076, 2069, 2058, 2043?\n\"Answer: -2*f**2 + 3*f + 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -331023 (base 6) to base 10\nAnswer: -27447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 4161?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 7*s**2 + 3*s - 6. What is x(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 255 + -243 + (-26 - -6) - -64.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 + 11 - s + 8*s**2 - 8*s**2.\nAnswer: -14*s**3 - s + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -1342 (c) 2 (d) 3 (e) -2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*x - 1068. Suppose -o - 145 + 671 = -m, 0 = -2*o - 2*m + x. Round o to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 x when four letters picked without replacement from ppppppxxppppppxpxp?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14856, -29724, -44592, -59460, -74328, -89196?\nAnswer: -104064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 6 - 5*c**2 - 16 in the form t*c**2 + g + h*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/48 and 45\/60*1\/((-108)\/440).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/(22\/(-1353)). Let b = q - -42. Factor 1\/2*h - 1\/2*h**3 + b - h**2.\nAnswer: -(h - 1)*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2256)\/(-47))\/(27*(-16)\/(-288)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 + 553. Suppose m = 2*s - 3 + 12, -2*m + 18 = 4*s. Give q(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 + -79. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 36*c - 128 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 145198*y - 1161573. Give g(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -8*z + 5*z. Let h(w) = 2*w**2 + 21*w - 6. Let n be h(z). Suppose -3*t + 146 = -n*d, -4*t + 4*d = -0*d - 200. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-57.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 2\/(-4)*4. Let t be (-100)\/(-124) - j - -3. Let m = -216\/155 - t. Does 0 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 0. Let h(f) = 3*f**2 + 9*f - 8. Let p be h(-4). Suppose p*z = 8*z + 4. Which is the biggest value? (a) z (b) -3 (c) -2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -363*q**2 - 1137 + 1139 - 56*q**2 as f*q + y + w*q**2 and give w.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + 20. Let t(i) = -6*i**3 + 27*i**2 - 8*i - 3. Let g be t(4). Suppose -z = l - g, z - 21 = -0*z - 3*l. Calculate the remainder when o is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 2*k**2 - 75*k - 220. What is p(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -143*m**2*n**3 + 5921*m**2*n**2 + 1129*m**2 - 32321*n**6 wrt n.\nAnswer: -858*m**2 - 3878520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -8. Let a(z) = -3*z + 1. Let d be a(y). Let -10*v - 7*v**2 + d*v**4 + 2*v**5 + 8*v + 3*v**2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, t: 5}. Give prob of sequence ttw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and -0.01933.\nAnswer: -0.036727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15*d**3 + 6*d**2. Let r(h) be the first derivative of 11*h**4\/2 + 3*h**3 + 57. Determine 7*m(x) - 5*r(x).\nAnswer: -5*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 37. Let b = c + 30. Let g = 0.12 - 0.02. What is the closest to g in b, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*p + 4, -4*p + 2 = g + 2*g. Let f = p + -3. Let b = 5 + f. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -338 - -382.1. What is a rounded to zero decimal places?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*j = -5*n + 4*n - 413*j + 3, -22*n + 28 = 3*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -1 + -5 + sqrt(117))**2.\nAnswer: -724 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 27, 69, 151, 285, 483, 757, 1119?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, 15, -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*f + 5*i, -3*f + 2*i = f - 12. Suppose -f*a + 1 = -24. Suppose -a*l - x = 226, -3*l - 2*x = 3*x + 118. Round l to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 80360 = 39*k. Is k a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000559 to seven dps.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*n - 20 = -47*n, -n = -4*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + -1 + sqrt(162) + sqrt(162) + -5 + sqrt(162) + -5*(0 + sqrt(162)) + 4 + 2)**2*3.\nAnswer: -432*sqrt(2) + 1988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221024 (base 5) to base 4.\nAnswer: -11223200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**3 - 2*r + 2. Let n(w) = 2 + 5 + 9*w**3 + 9*w**3 + w**3 - 7*w. Let t(x) = 182*x - 1442. Let l be t(8). Calculate l*z(i) - 4*n(i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/27*((-103)\/21 + 2) + (14 - 15).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 231, -5019, -19269, -47019, -92769, -161019, -256269?\n\"Answer: -750*b**3 + 981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80373?\nAnswer: 3, 73, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14574, -29082, -43576, -58050, -72498?\n\"Answer: l**3 + l**2 - 14518*l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-168)\/189)\/(3*(-8)\/108). Suppose n*o - 3060 = -4*a - 0*o, -3*a + 2294 = 4*o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:45 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3 - 108*t - 218 wrt t?\nAnswer: 3*t**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g. Let k(j) = j**3 + 16. What is the remainder when k(g) is divided by ((-9)\/12)\/(1\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42927 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1168673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13 - 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 50441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 63. Suppose 45*y + 300 = 35*y. Let o be (y\/25)\/((-2)\/65). What is the highest common factor of o and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + 15*p + 21. What is q(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 71*v = 73296. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67 (b) -2 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44, -693, 7 in decreasing order.\nAnswer: 44, 7, -5, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 5) to base 12\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(5\/2)*l*l*l**(-2\/29)*(l**17*l)\/(l*l\/(l\/(l\/l**9))*l) assuming l is positive.\nAnswer: l**(1649\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/4 - 1260647*o**2\/2 + 2521297*o - 2521298 = 0.\nAnswer: -2521298, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*k - 655*d**3*m**3 - 27*d**3*m**2 - 15*d**2*k + d**2 + k*m**3 + m**2 wrt m?\nAnswer: -3930*d**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 1:01 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4920 - 8361 = 140*w + 1839. Sort 2, -4, 0, w, 3 in descending order.\nAnswer: 3, 2, 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/30 - 5*l**4\/24 - l**3\/3 - l**2. Let s(w) = w**2 - 9*w + 12. Let x be s(8). Let u be z(x). Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -f + 221, -114*f + 56*f + 74*f + 154 = 2*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10*1))\/(3\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.84 - -6.07. Let t = g - 4.23000183. What is t rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/(-3))\/8)\/(12\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3095560 divided by 40.\nAnswer: 77389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -8*a. Sort -5, 4, a in decreasing order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9490361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 12. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(2 - (-24)\/(-10)). Let o(n) = n**3 + 13*n**2 + 3. Let w be o(-13). Suppose -w*i - u - 10 = 0. Which is the biggest value? (a) -2 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.155 + 49.98.\nAnswer: 84.135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 93 + v**3 - 98 to p*v + q*v**3 + d*v**2 + m and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -5*o**4\/36 - 5*o**3\/18 - 27*o. Find d such that r(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o - p + 10, 5*p + 1 = -3*o. Let x = o + -4. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q + q - 4*y, -5*q = y - 21. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x - 4, 0 = -5*d - 4*x + 16. Let m be ((-3)\/8)\/(35*d\/80). Which is greater: 0.1 or m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -731382137*r**3 + 95071662*r**2 - 3*r wrt r?\nAnswer: -4388292822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155811078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 0 + 0*v**2 + v**2 + 2*v**4 + 2 to t*v**4 + r*v + s*v**3 + o + n*v**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d = 85*d + 2830 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*j + 88\/3*j**2 + 2*j**5 - 2\/3*j**4 + 0 - 88\/3*j**3 = 0. What is j?\nAnswer: -4, -2\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/697 or 1?\nAnswer: -13\/697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 40*l + 83. What is x(11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:40 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10754, -21503, -32252, -43001, -53750?\n\"Answer: -10749*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164 - -164. Suppose -5*o + 26 = d - x, 3*o - 14 = d. Solve 0 = -4*u + o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 176 + s - s**2 - 245 - 296 - 22.\nAnswer: -s**2 + s - 588","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-23)\/(-5))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43301552 (base 6) to base 12.\nAnswer: 51a8b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*q**2 + 5*c**3*q - 774*c**3 - 48*c**2*q**2 - 3*c**2 + 3 wrt q.\nAnswer: -2*c**3*q + 5*c**3 - 96*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -4\/5, -1, 1.455 in decreasing order.\nAnswer: 1.455, -4\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/3 + 3587*s**4\/6 - 2683*s**3\/6 - 4483*s**2\/6 + 2687*s\/6 + 448\/3 = 0 for s.\nAnswer: -1, -1\/4, 1, 896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 266075 divided by 1835\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3 = 3*x, -5*x = 9*p + 8 - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -86903*u + 86883. Give z(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 3*l**3 - 3*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*q - 2004 = -7*x, -2*x = 5*q - 986. Suppose 10*h - 8*h + 5*y - 341 = 0, y + x = 3*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 523 + 267 + 270 - 13*q. Suppose 0 = 5*r - 13 - 7, 4*r - 64 = -4*l. Let c be k(l). Solve 4 = 2*d + c*z, d + 0*d + 8 = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a - 92 = 0. Suppose -4*q - 159 = -3*l, -q = -5*l + a + 4. Let t = -27 - q. What is the greatest common divisor of 60 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7 + j - 3 - 2. Let r(q) be the second derivative of 2*q**3\/3 + 7*q**2\/2 - 7*q. What is -2*r(c) + 7*z(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4, 4*x + 5*l - 2*l - 126 = 0. Calculate the remainder when 141 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/42)\/(8\/12 - 24\/(-126))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*m = -480*m + 1322 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4050, 0, 5, 4, 1 in increasing order.\nAnswer: -1, 0, 1, 4, 5, 4050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {b: 1, h: 11, i: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101211, -202418, -303625, -404832?\n\"Answer: -101207*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**6 - 14520*q**5 - 2*q**2 + 5614*q + 3.\nAnswer: -240*q**3 - 871200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((170\/136)\/(-5))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859*z + 54*z + 805*z - 49*z**3.\nAnswer: -49*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*n - 56812, 0 = -n - 24 + 19. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 13079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4811342 and 4.\nAnswer: 9622684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**6 - t**5 + 30*t**4 + 26*t**2 - 213*t + 1 wrt t.\nAnswer: 120*t**3 - 60*t**2 + 720*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8507542 to the nearest 10000.\nAnswer: 8510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, n: 2}. What is prob of sequence fnf?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7567, -13851, -17543, -17347, -11967, -107?\n\"Answer: 216*r**3 - 7796*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*m + 1127 = -439, -4*f - 3*m + 2116 = 0. Suppose -f*y = -524*y - 532. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1392, 3735, 7000, 11181, 16272, 22267, 29160?\nAnswer: 36945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378586 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/96*-4)\/(2\/(-1176))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqqvv. Give prob of picking 1 v and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 8*w**2 - 3*w + 3. Let v be o(-5). Suppose 0*k = -k + v. Let s = k + 21. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r + 4*r**2 - 4*r**2 - 5*r**3 + r**3 + 2*r**3 + (0*r + 0*r - 2*r**2)*(-r - 2*r + 5*r) - 4*r - 2*r**3 + 4*r.\nAnswer: -7*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5968840 is divided by 2249?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614038 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578693.7 rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + (sqrt(1100) - (sqrt(1100) - (-1 + sqrt(1100) + sqrt(1100) + sqrt(1100) - sqrt(1100) - sqrt(1100)))*1 - sqrt(1100)))*-3 + -3)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 4, 3\/8, 12, 0.4, 75 in ascending order.\nAnswer: -27, 3\/8, 0.4, 4, 12, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (2 - 9) + (9 + -23 - -9) - 13?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 8. Let i be -3*(d - 2\/3). Let v(m) = m**2 + 23*m + 3. Let f be v(-23). Sort f, 2, i.\nAnswer: i, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18311764 is divided by 9155875?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.4, -519?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -556 + 422. Let f = -133.9621 - l. Round f to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 115*c - 3*c + 133*c - 3 - 12 - 46*c. Is u(7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmswmmwwwwmmwwsmot. What is prob of picking 2 s and 1 t?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -40. What is the smallest value in 12, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 - 4\/21*t**3 + 1\/42*t**4 - t + 4\/7*t**2. Determine k, given that j(k) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 7)\/(62 + (-10362)\/165)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3)*a*a)\/(a**(-5)*a))\/(a*a**(-2\/5)\/a*a**2) assuming a is positive.\nAnswer: a**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -499\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 3. Let w(g) = 1199*g**2 - 269. Let t(d) = -2*p(d) + w(d). What is the derivative of t(b) wrt b?\nAnswer: 2406*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 0*y**3 + 2*y**4 + 3*y**2 - 2*y**2 - 3*y**2 - 3*y**3 in the form x*y**3 + g*y**2 + n*y + q*y**4 + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 10*m**2 - 735*m + 194. Calculate i(73).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x + 4*x - x. Let r be (-2)\/(-3) + (-12)\/(-9). Let d(y) = -y + y - 29*y**r + 26*y**2. What is d(l(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*l**3 + 208*d**3*n - d**2*l**3*n + 155*d**2*l**2*n - d**2*l**2 + 3*d**2 wrt d.\nAnswer: 24*l**3 + 1248*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488\/119 + 60\/17. Which is the closest to 1\/3? (a) 1\/3 (b) j (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 651.4113 decades?\nAnswer: 6.514113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/4995 and 131\/4440?\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 - 13 = 3*b, 5 = -5*b. Let i = -7 + h. Calculate the lowest common multiple of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)*(c*c**(2\/5))\/c*(c\/(c\/c**7)*c)\/(c\/c**(-2\/3)*c)*(c**5*c**(-2\/29))**(-2\/55) assuming c is positive.\nAnswer: c**(5267\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 7, -2 in descending order.\nAnswer: 7, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61442115 to the nearest integer?\nAnswer: 7839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 25, 102, 219, 382, 597, 870, 1207?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2\/2 + 15*f - 2. Let g(z) = -z**3 - 3*z**2 - z - 3. Let o be g(-3). Is 13 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 5*j + 4. What is the remainder when 63 is divided by p(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581 = 3*i + y - 2574, 4*y = 2*i - 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -16. Let n = -4\/55 + 193\/385. What is the fourth smallest value in n, b, 5\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/24 and -47\/1536.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -170 + -14?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1734, 1773, 1812, 1851?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 3 = -3*g, 5*w - 32*g + 70*g - 34*g - 13 = 26 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*h + 4, -5*h = -3*h + 2*d + 2. Let y be (h\/(-33))\/((-2)\/(-6) - 1). Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 13*p - 5 = 0. Suppose -h + p = 1. Differentiate -26 - 11 + 14 - 20*i**h wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - (31 - 25) - (14 - 5)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 61*q - 1704. Calculate the least common multiple of p(28) and 1250.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aax when three letters picked without replacement from {x: 2, z: 2, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 2*j**2 + 6*j + 5*j**2 as g*j**2 + k + a*j and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 3*r**2 + 2*r + 2. Is 3 a factor of w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11986 = h - 11989, 0 = 4*b - 3*h + 33 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 1 - (-25351)\/1506.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 18 + 18 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least -0.543247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) + 2)*-3 + sqrt(19) + 1*sqrt(76))**2.\nAnswer: -12*sqrt(19) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4 + 0 - 4 + 2 + (1 - 1 + 1)*(3 + 2 - 4) + 1 - 1 - 4)*(2*b**2 + b**2 - 4*b**2).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 10) in base 3?\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3539 and 1.4.\nAnswer: 4954.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 894.999497 + -895. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000121 (base 3) to base 16.\nAnswer: -e4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2)\/((-8)\/((-32)\/6)). Let m be (-26)\/28*v + 4 + -5. Factor m*c + 2\/7*c**2 + 0.\nAnswer: 2*c*(c + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -858 - -2987. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 37*h**3 + 6*h**2 - 7*h. Let p be w(7). Let a be p\/(-35) - 2\/5. Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + b = 1 - 7, 3*q - 50 = -5*b. What is the highest common divisor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 14 - 20*w + 76*w. What are the prime factors of b(2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7896 and 52828.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/(18\/(-8)). Let m = -9\/8 + 11\/8. Let g = 1.57643 - 1.27643. What is the nearest to m in w, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11310 (base 5) in base 4?\nAnswer: -30332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, k: 3}. What is prob of picking 1 k and 2 y?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30681 - 886) + (2\/2 - -3).\nAnswer: 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 2181, -6\/11, 0.2, 74, -2 in descending order.\nAnswer: 2181, 74, 3\/5, 0.2, -6\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + sqrt(175) + -5*(4 + sqrt(175)) + sqrt(175))*-5 + 4 + 2*(sqrt(175) + -3 + sqrt(175)))**2.\nAnswer: 13720*sqrt(7) + 43904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2453754.\nAnswer: 2, 3, 408959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - v**2 + 7*v + 1539. Let u be y(0). What is the highest common divisor of 95 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -104.5 - -104. Let q = -4 - -4.1. Which is the nearest to -3? (a) j (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 4. Let q be j(-4). Let n = q + -2. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4012047.\nAnswer: 3, 13, 53, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y - 22. What is the units digit of t(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 44, 21 in descending order.\nAnswer: 44, 21, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30023 divided by -2?\nAnswer: -30023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3373 + 5627?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = m + 420. Suppose -2*r - 4 = -3*r, -s + 2*r = -7. What is the highest common factor of m and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.1812?\nAnswer: -3.8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h = -57*h + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m + 8. Give d(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 17*u**3\/2 + 9*u**2\/2 - 28*u. Is 23 a factor of v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(304) + sqrt(304) + (sqrt(304) - (0 + sqrt(304)))))**2 + 1*sqrt(304)*1 - ((2*sqrt(475)*-2)**2 + -4).\nAnswer: -6380 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a week?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30483.\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 14*o**3 + o - 5. Differentiate g(w) with respect to w.\nAnswer: 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15941 (base 10) in base 5?\nAnswer: -1002231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 63?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82489262978234 and -3.\nAnswer: -82489262978237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 812.9277 months?\nAnswer: 6.7743975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671727 is divided by 95794.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 196295101 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 16943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/3*21. Let l(s) = 3*s**2 + s - 6. Let n(v) = -7*v**2 + 4. Let r(b) = -3*b**2 + 2. Let q(u) = -2*n(u) + 5*r(u). Calculate g*q(j) + 2*l(j).\nAnswer: -j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2 (c) -32 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -74, -122, -178?\n\"Answer: -4*g**2 - 28*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1184.6016*7\nAnswer: -8292.2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 25*d = -25. Solve d = -x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28803656 a multiple of 581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (1037\/(-20))\/17. Factor 4\/5*z - i*z**2 + 0.\nAnswer: -2*z*(7*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 18*a**2. Let i(d) = -124*d**2 + 4. Calculate i(u(v)).\nAnswer: -40176*v**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/24)\/(722\/8664)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 5*o**2\/2 + 41*o - 12. Is 21 a factor of s(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 2:43 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 108*v**2 + 4*v + 1. Let o be d(4). Let k = o - 3655. Round k to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 6*z**3 + 606*z**2 + 30603*z\/2 = 0.\nAnswer: -101\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -62ab1c5?\nAnswer: 62ab1be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 51 = -10*d. Suppose 3*l - x = 32, -4*l + l + 26 = 2*x. Solve -l = -d*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.21 + 4.21. Which is the biggest value? (a) -3\/7 (b) 2\/21 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q + 5. Let v be w(-4). Suppose 5*b + v = 16. Let z(o) = -2*o**2 + 8*o + 5. Let u be z(4). Solve 6*h + 2*s - u = 5*h, b*s - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -19. Let b(v) = 73*v**2 - 3*v - 8. Let g be b(m). Suppose 3*q - g = 7*q. Round q to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11780.3 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4627, -46, -65 in increasing order.\nAnswer: -4627, -65, -46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 26965.78 millimeters?\nAnswer: 26.96578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 smaller than 4346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 362?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 + -232. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15525393333 minus 1?\nAnswer: 15525393332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 - 4. Let i be y(5). Let w be (i\/14)\/(5\/(-70)). List the prime factors of 25*(96\/20)\/w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 + 169 = 5*q + 2*p, q = -3*p + 80. Suppose 4*x + o = q, x + 40 = 3*x - 3*o. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -9 + (18 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 22 - (-614 - -667)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 30 = -2*y + w - 18, w - 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8736 divided by 182?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(72) + 0 + -2 - (-6*sqrt(288)\/sqrt(4))**2).\nAnswer: -2590 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.17? (a) 1 (b) 2\/3 (c) -5 (d) -13 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8*4\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2185.9490745485 take away -0.1?\nAnswer: -2185.8490745485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.19 and 13.4.\nAnswer: -123.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 - 62?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 >= -1\/14928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*q + 209*q + 7*q + 4732 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594408048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 7:52 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, j: 10}. What is prob of sequence cjcj?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 9*d + 5. Let c be u(-10). Suppose c = -4*g - 21. Is 8 a factor of 2\/g - (-164)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -979?\nAnswer: -979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21555034 to the nearest integer?\nAnswer: 4643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51182\/7 - 452560\/63. Let f = x + -128. Determine o, given that 0 + 0*o - f*o**3 - 2\/9*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/18 - (-1 - 94680\/81). Suppose 0 = 2*v + 152 - s. Suppose -4*c - i = -387 - v, 2*c - i = 448. Calculate the highest common factor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 - 1208228*w**3 + 182479278938*w**2 - 729902617080*w + 729897784200.\nAnswer: 2*(w - 302055)**2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-21\/2)\/(n\/(n\/(n**28\/n))) assuming n is positive.\nAnswer: n**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -7.1. Let l = x - -8. Let b = 5 + -4.6. Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**7\/21 + g**6\/15 - g**5\/2 + g**4\/2 + 14*g. Suppose z(f) = 0. What is f?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*f**2 + 264*f**2 + 131*f**2)*(0*f**2 + 3*f**2 + 0*f**2) + (2*f**3 - 3*f**2 + 3*f**2)*(0*f + 5*f - 2*f).\nAnswer: 972*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -230*f + 5588. Calculate the remainder when x(24) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/56 + 840\/245. Let d = 5.2 + -53.2. Put -0.5, -0.4, d, k in descending order.\nAnswer: k, -0.4, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s - 6 = 0. Let y(k) = 2*k - 2. Let g be y(s). List the prime factors of 0*(-2)\/(-4) - g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*w - b, b = 2*b - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 471037 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*l**3 - 5*b*l + 3*l**3*s**2 - 20*l**3 - 2*l*s**2 - 3 wrt l?\nAnswer: 6*b*l + 18*l*s**2 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Suppose -2*b = s*d + 5, -4*b + 5*d = 3*d - 14. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2153*w + 2148*w + 10 = -c, 4 = -4*w for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*k**3 + 16*k**2 - 16*k**2 + 82*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 2 + 0 + 14*p**2 + 34*p**2. Let n(s) = -4*s + 215. Let c be n(53). Is j(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.399 and -1.86?\nAnswer: 0.74214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c - 3*c**3 + 587 + 582 - 5*c**2 + 583 - c - 1753 to the form g + o*c**3 + v*c + j*c**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 1\/2*b**4 + 0 - 9\/2*b + 15\/2*b**2 - 7\/2*b**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250985 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4*t**2 + 0*t**2)*(1485*t**2 - 730*t**2 - 727*t**2).\nAnswer: 140*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:12 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 606*x - 30603.\nAnswer: -3*(x - 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1968 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 8. Is (4695\/6)\/(12\/d + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*10\/(-48)*2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**4 + h + 4*h**3 + 0*h**3 - h**3 + h**2 - 36*h**3 to k + g*h + j*h**2 + o*h**4 + i*h**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 51960000 to the nearest 1000000.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 10. Suppose k - 25 = 3*z, 2*z - 3*z - 153 = -t*k. Suppose -2*x + 15 = -r, -r = -4*x - 0*x + k. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*p, 0 = -p + 2*p. Let x(m) = -8*m - 28. Calculate the lowest common multiple of 6\/((-6)\/(-32) + j) and x(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10 - 15)*(-2*i - 2 + 1 + i).\nAnswer: 18*i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 12. Let w(y) = 15*y + 59. Let b(d) = 11*a(d) + 2*w(d). Let o be b(10). Let s = o + 63. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 55.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 638*k - 77. Does 8 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 867653.\nAnswer: 9\/867653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3\/(24\/4380*(50\/36)\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = v + 24, 2*v + 3*x + x + 40 = 0. Let u be ((8\/6)\/(v\/2))\/1. Which is the second smallest value? (a) 15 (b) u (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30553?\nAnswer: 30553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 9*y - 7. Let g be s(8). Let u be g*330 + (3 - 4 - -4). Let d = -192 + u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (3 + (sqrt(1584) + 2 - sqrt(1584)))) + sqrt(1584) + sqrt(1584))**2 - (sqrt(539) - (6*(1 + sqrt(539)))**2).\nAnswer: 137*sqrt(11) + 33721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171)*4)\/(sqrt(9) + sqrt(9)*1*6 + sqrt(9)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 5 (c) -3.6 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*q**2 + 11342 - 11359 - 87*q**2 as o*q**2 + f + v*q and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -420 - -2941\/7. What is the second biggest value in -3, -3\/10, k?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45159232 divided by 1.\nAnswer: 45159232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114736445 divided by -37?\nAnswer: -3100985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsw when three letters picked without replacement from bybbbywbybsyb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - 3) + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15172 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + z = -2, 0 = -0*w - 5*w + 5*z + 20. Let d(l) = 27*l**3 + l**2. Let y be d(w). Solve 6*p - 2 = -2*x + p, 0 = -5*x + 4*p - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*m**4 - 3*m**3 + 23419*m + 53131374 wrt m.\nAnswer: -76*m**3 - 9*m**2 + 23419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106915762 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14, -24, -46, -86, -150, -244, -374, -546?\n\"Answer: -l**3 - 3*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 881782 and 0.4.\nAnswer: 881782.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 6. Give y(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 4) to base 15\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 - 5*c**4 - 292*c**2 + 297*c**2 + 5*c - 5*c**3 - 3.\nAnswer: -5*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 0.389 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 3:42 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-2)*440\/3080\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + n - 6 = -i, -n + 1 = 0. What is the units digit of ((-7)\/21)\/(i\/(-267))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + 118874239\nAnswer: 118874238.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 - 4*d**3 - d + d**3 + d + (-2 + d + 2)*(0 + 0 - 2*d**2) + (-539*d**2 - 27*d**2 + 205*d**2)*(-2 + 2*d + 2).\nAnswer: -727*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*q = 353*q - 412*q - 28892 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.332 to zero dps.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(20) + 3))**2.\nAnswer: 48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150*p**3 - 292*p**3 + 143*p**3)*(4*p - 5*p - p)*(4 + 9 - 5).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -19*q + 21. What is the tens digit of -58*(-2 - 0 - q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5542.226 litres?\nAnswer: 5542226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 9. Let b(m) = -3*m + 4. Suppose -54*t = -90*t + 216. Give t*s(f) + 14*b(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/7, 5, 3\/5, -323 in descending order.\nAnswer: 5, 2, 3\/5, 2\/7, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1082*b + 8582 - 8582 + (-3*b + b + 5*b)*(1 - 1 + 2).\nAnswer: 1088*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3*u = 6. Let x be (-88)\/(-4) - (-6)\/u. Solve -2*a - 2*r = 3*a + x, -5*r + 20 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -11590*m - 4095. Let k(l) = 11588*l + 4102. Let y(s) = -5*k(s) - 4*x(s). Differentiate y(d) wrt d.\nAnswer: -11580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128.896 - -0.15.\nAnswer: -128.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0*f)\/f)**(5\/16)\/(f*f**(1\/4))**(-1\/8) assuming f is positive.\nAnswer: f**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 14*c + 14 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 - 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 0 + (-7 - -11) - 0. Let q be (h\/14)\/(12\/(-42)). Which is the nearest to 4\/13? (a) -3 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1956947.\nAnswer: 2\/1956947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817567.\nAnswer: 3, 19, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 2. Let a be m(-4). What is the greatest common divisor of a and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/16*8\/(-3). List the prime factors of -3 + t - (-4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - c**3 + 4*c**3 - c + 8*c**2 - 7*c**2 to the form q*c**2 + g*c + j + x*c**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -17, 14, 3\/2 in descending order.\nAnswer: 14, 3\/2, 0.1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 450 + -435. Suppose 0*v = -2*v - 174. Let p be (-6)\/q + v\/(-105). What is the nearest to -2\/5 in -2, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35858699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9 = 2*l. Let p = -49231\/1186 + 6\/593. What is the common denominator of l + (-3)\/60*119 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-427)\/(-122))\/((15\/6)\/5). Solve l = -4*v - 18, 5*l + 22 = 4*v - x*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(1216)*-2 + (sqrt(1216) - (1 + sqrt(1216))*-5) + 5)**2*-6.\nAnswer: -2364504 + 17280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 483, 136, -517, -1578, -3149, -5332?\nAnswer: -8229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 30 = -w. Let y = w + 10. Suppose 3*z = y + 8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373697068 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 157*i**2 - 5701*i + 82. Calculate v(100).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73.93 - 0.07. Let o = -26 - b. Let m = 48.005 - o. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 159 = 5*i. Suppose 3*z + 6 = -6, 5*z - 55 = 5*l. Let w = -7 - l. Calculate the remainder when i is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 2, o: 3}. Give prob of picking 1 e and 3 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x + 9. Let h(i) = i + 2. Calculate 11*h(n) - 2*w(n).\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 386061416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*20\/(1*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 23, 51, 89?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 18809243651600\nAnswer: 18809243651597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*q - 336 + 336 - 2*q**2 in the form y + m*q + o*q**2 and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 75*z - 996. Let s be v(19). Solve -29*x + s*x = -39 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 200 = 100. Suppose 579 = 3*p - 0*p. Suppose -99 = -4*y + p. What is the remainder when y is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 9. Let v(j) = 21339730 - 21339730 + 62*j**2. Calculate v(u(i)).\nAnswer: 558*i**2 - 3348*i + 5022","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + -5 + -1*sqrt(17)*-6.\nAnswer: -6 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10*k - 9. Let q be u(1). Let h(c) = -5*c + 4. Let f(b) = b - 1. Calculate q*f(j) + h(j).\nAnswer: -4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c + 12*c**3 - 2*c**3 + 6*c wrt c.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-10))\/((-858)\/65*2\/6)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1930664819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 14. Suppose t + 3*y + y - 13 = g, -2*y = -4. Let d be 0 - 2 - (-8 - -3). Solve 0 = t*r - 5*j + 45, 3*j - 7 = -4*r + d*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 plus 291899.6079?\nAnswer: 292236.6079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 - (-22)\/(-30). Let d = 68.2 - 68. Which is the nearest to d? (a) q (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by 4325\nAnswer: 46\/865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 4*u - 4. Let l be j(5). What are the prime factors of l\/2*(-336)\/(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3235, 6215, 9195, 12175?\n\"Answer: 2980*r + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1 + sqrt(7)))**2 + -5 + -5 + sqrt(84)\/sqrt(3))*-3.\nAnswer: -354 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.125 - -0.125. Let q be 24\/40 + 16\/(-10). What is the closest to m in 7, q, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605905282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7127091878 + 96\nAnswer: 7127091974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4620 and -157\/278520.\nAnswer: 1949640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -862 - -857. Sort l, -137, 0.\nAnswer: -137, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -100201210222?\nAnswer: 100201211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4995 divide 588291120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (15\/204*148 - 5).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k = -5*o - 7*k - 185, -3*o - 5*k = 7 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1354103313 (base 6) to base 15\nAnswer: 17017c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262236008?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110726 and 14476.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3 + (-20)\/(-6)). Suppose 3*q + 3*d = -0 - m, d = 4*q + 9. Suppose -15 = 4*x + p - 0*p, -5*p + 10 = 3*x. Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.67 + -1.56. Let h = v - -0.39. Sort 1, 2\/9, h in descending order.\nAnswer: 1, 2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23765, 22421, 21079, 19739, 18401, 17065?\nAnswer: 15731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 129, -182, -759, -1614?\nAnswer: -2759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 238*a**2 - 1160*a - 22. Calculate y(5).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.61 + 1.41. Let j = 3 + -2.5. Which is the second biggest value? (a) j (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77635 kilograms in milligrams?\nAnswer: 2776350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 2*d**2 + 10*d. Let h(i) = 96*i**3 + 15*i**2 + 21*i - 8026. Let j(c) = 2*f(c) - h(c). Differentiate j(t) wrt t.\nAnswer: -276*t**2 - 38*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2408?\nAnswer: -1\/2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 0. Let z = 3 + i. Let g be (-8)\/36 + z\/(-9). Is g greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*f - 13. Suppose -314*s - 592 = -388*s. What is the least common multiple of (14\/f)\/(2\/(-4)) and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 4*x - 3*w + 2*w, 0 = 4*w + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.2 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 177*c + 1718. What is s(10)?\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -112, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188 - -1db?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 + u - 2. Let m be y(4). Solve m*x - 10 = 4*a, 5*a - 15 = -0*a - 3*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d**3 - 12*d**2 + 12*d**2)*(1 - 3 + 1).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 p, and 1 o when three letters picked without replacement from rrorrsrprorororrrsr?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -103. Suppose 3*r - 91 = q*v, 0 = 5*r + 5*v - 116 - 9. What is the smallest common multiple of 30 and r?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 322*i**2 - 2704*i.\nAnswer: 2*i*(i - 169)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/52 + (-338)\/(-8). Let v be (-12)\/g - (-107)\/7. List the prime factors of ((-96)\/(-36))\/(2\/v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13163, -13407, -13777, -14267, -14871, -15583?\nAnswer: -16397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2*u + 3*u)*(0 + 0 - u) - 1628*u**2 - 532*u**2 - 187*u**2 - 10411*u**2 + 355*u**2 in the form x*u + j*u**2 + v and give j.\nAnswer: -12402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o - 35. Let b be o\/(-1 - -2)*71. Let m = b + -4987\/10. Calculate the common denominator of 65\/6 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11707726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11512.981 + 11467. Let y = v + -0.019. Let g = y + 46.063. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15505055 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*i**5*z**2 - i - 2*z**2 - 4*z wrt i?\nAnswer: -1320*i**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 1 - -14 - 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1515.67 and 131.\nAnswer: 198552.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-40))\/((-2)\/(-8))*(8 + 2). Let g = 2.91 + -224.91. Which is the biggest value? (a) p (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65746900 rounded to the nearest one million?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9132734ms?\nAnswer: 913273.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -2226067.\nAnswer: -4452134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-30))\/((-30)\/(-28) + -1). Let p = l - 14. Suppose -z + 15 + 2 = p. What is the remainder when 33 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.7 - 93. Let s = -1.7 + 1.4. Let p = s - t. Which is the nearest to -0.3? (a) -3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x + 10. Let r(p) = 9*p - 5. Let t(w) = -3*o(w) - 5*r(w). Let n = -572 - -579. Let j(m) = 2*m - 3. What is n*j(v) - 4*t(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 2*v**3 - 15*v**3 + (4*v**2 - 3*v**2 - 2*v**2)*(v + 2*v - v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 2, v: 1, l: 1, h: 1, f: 1}. What is prob of picking 1 f and 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 - (-71 + (22 - (-5 + (-18 - -63))))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349 + -508. Let h = -29 - y. Suppose h - 1 = 3*j. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-28))\/((-40)\/35).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0. Let s be (3 - 1)*(-8)\/88. What is the third biggest value in 1, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -9*k + 4*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(152)*-1*-1 + 6*(sqrt(152) + sqrt(152)*-2))\/(sqrt(24)\/(-2*sqrt(363))).\nAnswer: -440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b. Suppose 14*k = -10*k - 24. Suppose 2*u + 3 = -1. Let a(l) = l. Let q(h) = k*w(h) + u*a(h). Determine q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6999431, -6999448, -6999461, -6999470, -6999475, -6999476?\n\"Answer: 2*o**2 - 23*o - 6999410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (1 + sqrt(304) + -4 + sqrt(304) - sqrt(304) - sqrt(304)) - 5*sqrt(304)*-4)**2.\nAnswer: 504*sqrt(19) + 134073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**5 + 104*d**4 - 200*d**3 - 2656*d**2 + 4096*d + 2048 = 0. Calculate d.\nAnswer: -8, -2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18068862 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*t - 256, 65 = -s + t + 190. What is the common denominator of -56\/99 and 1\/(-11)*(-11 - s\/27)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 22*n + 2. What is the smallest common multiple of r(0) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.4 + -11.6. Let m = -6 - z. What is the nearest to 1 in -2\/7, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 32 - 61 + 29 - g**2. Let d(o) be the third derivative of o**8\/6720 - o**5\/20 - 2*o**2. Let t(x) be the third derivative of d(x). What is t(q(j))?\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 100988*w**3 + 54502 wrt w?\nAnswer: 302964*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13750, 5, -6, 4 in descending order.\nAnswer: 13750, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -16\/21 (c) 0.1 (d) -16 (e) 0.3 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2604\/(-588) + 3\/((-3)\/(-5))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*j + 5*m - 110, 0 = -5*j - 4*m + 155. Let u = 12.3 - 15.3. Which is the third smallest value? (a) j (b) 11 (c) u (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -595, -1336, -2373, -3706?\nAnswer: -5335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 69, 95, 3 in descending order.\nAnswer: 95, 69, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137570 - 68986 = 4384*z + 9752*z - 4300*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyiyyiiyiiyhihhriyi. Give prob of picking 1 h, 2 y, and 1 r.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/8 + 139747*p\/4 - 489090.\nAnswer: -(p - 279480)*(p - 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*-1) - (sqrt(3) + 1)**2*2) + 1.\nAnswer: -5*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98408 + 49204 - 321*t**2 + 49204.\nAnswer: -321*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 546*w**2 - 3320*w + 2. Give n(6).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028864 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 0, -4*l + 0*l - 18 = -2*a. What is the highest common factor of a and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 56.49918ml?\nAnswer: 0.05649918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 47477, 94954, 142431, 189908?\n\"Answer: 47477*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.26708 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/18 - 85842\/(-81). What is b rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 4*n**2 + 7*n + 5. Give g(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:44 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -9*o - 50 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2. Let c(t) = -506859124*t. Determine c(f(j)).\nAnswer: 1013718248*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*l*z + 18687858*l + 17*z + 6792791 wrt l?\nAnswer: -8*z + 18687858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -4, 1, 11, -2 in descending order.\nAnswer: 11, 1, -2, -4, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 20*n - 427. Let w be z(13). Solve -w*u = -0*u + 2*y, 5*u - 3*y = 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let s(n) = -11257*n - 1. Calculate d(s(k)).\nAnswer: -11257*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3487784.\nAnswer: 2, 435973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose t + b*a + a - 11 = 0, 0 = -a. Calculate the highest common divisor of 33 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 436*p. Let q(w) be the third derivative of w**5\/60 + 8*w**2. Calculate q(h(a)).\nAnswer: 190096*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 320306 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54.06 - -0.94. Let q = -60.4 + h. What is q rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/2 of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17594 or 17648?\nAnswer: 17648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:06 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -243628, -487258, -730888?\n\"Answer: -243630*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**3 + 11*n - 18. Determine u(3).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d*d)\/d**(2\/11)*(d\/d**(6\/7))\/(d\/((d\/((d\/d**(8\/7))\/d*d))\/d)) assuming d is positive.\nAnswer: d**(-454\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 - 459. Suppose 25 = 2*h - 5*u, -3*h + 51 = f*u - 8*u. What is the greatest common divisor of 100 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:37 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/100 - k**3\/10 - 8*k**2. Suppose o(s) = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 1. Let o(w) be the third derivative of 5*w**4\/24 - w**3\/3 + 8*w**2. Let y(t) = 2*d(t) + o(t). Let z(a) = -4*a + 0*a + 2*a. Calculate y(z(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/12 - 5*a**3\/6 + a**2. Let f be c(4). Suppose -19 = -v - v + f*o, 4*v + 4*o - 8 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6961*i + 6966*i + 2*v = 2, 12 = -3*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -54*s**2 - 926*s. Let x(k) = -19*k**2 - 309*k. What is 6*d(c) - 17*x(c)?\nAnswer: -c**2 - 303*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7592419?\nAnswer: 19, 399601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 8. Calculate q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27628 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: What is 0.0157023 grams in nanograms?\nAnswer: 15702300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-4*o + 157*o**2 - 327*o**2 + 147*o**2).\nAnswer: -69*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322909525.23 less than -5?\nAnswer: 2322909520.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 43.78?\nAnswer: 32.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 16*t**2 + 36*t**2 - 448*t**2 - 6.\nAnswer: -428*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 20\/21, 0.3, 191, 626?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**2 + 48*f - 11. Let q be c(6). Let g(h) be the second derivative of h**5\/20 + 11*h**4\/12 - h**3\/6 + 2*h. What are the prime factors of g(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3*32 + 1. Let u be (-5)\/30 - n\/6. Solve 0 = u*t + 11 + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 895\/9 - 280\/3. Find the common denominator of t and 53\/1050.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19389 + -19387. Factor 12\/7 + 4\/7*f**4 + 48\/7*f**a - 24\/7*f**3 - 40\/7*f.\nAnswer: 4*(f - 3)*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41052 and 264972.\nAnswer: 2914692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 18*r**2 + 18*r - 37. Let i be x(-19). Let w be (-6)\/28 + (-9)\/i. Let c = -3.1 - -3. Sort c, w, -3 in descending order.\nAnswer: w, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120900, -120902, -120904, -120906, -120908?\n\"Answer: -2*y - 120898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.13, 9.991, -1\/6, -2\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1803642, -3607289, -5410940, -7214595, -9018254, -10821917?\nAnswer: -12625584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/178 and 97\/2332868.\nAnswer: 2332868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**2\/4 - 715*f\/4 - 180 = 0.\nAnswer: -1, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1220.37 months?\nAnswer: 10.16975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 157, 169, 197, 247, 325, 437?\n\"Answer: v**3 + 2*v**2 - v + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -116. Suppose i = -v, 0 = -3*d + i + 822 + 329. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**6\/120 - s**4\/24 + s**3\/2 - 6*s**2. Let q be 4\/(-2) + 1 + 1. What is k(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6246.5004 + 6245. Let w = -0.0644 - b. What is w rounded to two decimal places?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Factor -3*s**3 - 4*s - 3*s**3 + 2*s + 4*s**2 + v*s**3.\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 147*f - 6955. Give s(106).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3\/7 + 2782*p**2\/7 - 120640*p\/7 - 673000\/7 = 0.\nAnswer: -5, 50, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 26. Let g(o) = o**2 + 6*o - 11. Let k be g(c). Solve -r = -4*q + 4, r + k = -5*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n. Let t = n + 12. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = 5 - 5. Suppose -4*w = -s - 28, 5*w - 2*s + y*s = 32. Suppose -g - w = -5*g. What is the highest common factor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 65 - ((-1)\/6 + (-242)\/132). Let j = i - 64. Suppose 18 = -5*f - 7. Put f, j, 4, -4 in decreasing order.\nAnswer: 4, j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 - 12*a**3 + 3*a**2 + 18*a = 0. What is a?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.376 + -4.576. Which is the closest to n? (a) -2 (b) 64 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 3*j - 15. Let u(w) = -2*w**2 + 5*w + 29. Give 5*g(k) + 2*u(k).\nAnswer: k**2 - 5*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 + 2440803*v**4 - 8*v + 349099?\nAnswer: 20*v**3 + 29289636*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -6. Suppose 4*v = -0*v + f. Is v smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-1599)\/(-182))*((-26)\/(-4) + -3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77174196 divided by -4323?\nAnswer: 17852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23030288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559 + 13 = 182*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14687 and 0.288417.\nAnswer: -14686.711583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.6055 from 0.12861.\nAnswer: -15.47689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 578, 3863, 0 in ascending order.\nAnswer: 0, 578, 3863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 4*h**2 - 16 - 3*h**2 + 0*h. Calculate the remainder when u(7) is divided by ((-6)\/3)\/((-2)\/11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164480901 to the power of 1\/2, to the nearest integer?\nAnswer: 12825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 5*u - 5*u - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 1 + 1)*(-135 + 340 - 1084 - 827).\nAnswer: 1706*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x\/(x*x**(11\/2)*x)*x**(-8\/11)\/x)**11 assuming x is positive.\nAnswer: x**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 6*m**2 + m - 6. Let b be v(-7). Let h = 50 - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3177419 - -0.00408?\nAnswer: 3177419.00408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 16\/((-1216)\/2147)\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.0089176 rounded to two decimal places?\nAnswer: -133.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1281, 2458, 3507, 4434, 5245, 5946?\n\"Answer: a**3 - 70*a**2 + 1380*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -11*o - o + 0*o. Let k(p) be the first derivative of -2\/3*p**3 + 0*p**2 + 10 + 0*p. Give i(k(z)).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593122.446 microseconds to weeks.\nAnswer: 0.000000980691875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 - o. Let h be r(1). Suppose 2*y - 6*y = -4*z + 56, 5*y + 15 = h. Calculate the highest common divisor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = h, -2*f + h + 12 = 2*f. Let t(g) = -5 - 9*g + 2 + f. Is t(-1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.147 + 0.243. Let b = 1.473 - x. What is b rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(4752) + sqrt(4752) + sqrt(4752)*2 + sqrt(4752) - sqrt(4752)) + sqrt(33))\/(sqrt(11) + (-2*sqrt(66))\/sqrt(6) - sqrt(11) - sqrt(11)).\nAnswer: -50*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.5 - 9. Which is the nearest to 27? (a) y (b) 0.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x = 3*l + 18, -x - 2 = 3*l. Let h be -4 - -2*18\/x. Suppose 18 + 12 = h*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 + 8.82. Let g = 8266 + -8261. What is the biggest value in 0.1, 0.4, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*y - 68307 = 0, -4*o - 93*y + 91041 = -96*y. List the prime factors of o.\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-565.\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 44. Let v be n(29). Suppose v = 7*h - 2*h. Suppose 46 = 4*a + h*p, -11 = 4*a - 5*p - 41. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 8 + 5*t + 8 + 0. Let g(f) be the first derivative of 2 - 2 + 3 - 4 - 3*f**2. Give j(g(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + 226. Calculate the greatest common divisor of f and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 0 + 0)*(5*d - 5*d + 6*d**2 + (2*d - 5*d + d)*(0 - 2*d + 0) + 3*d**2 + 0*d**2 - d**2).\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 183*a**2*t**2 - 2*a**2*t + 61*a**2 + 2*a wrt t?\nAnswer: 366*a**2*t - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1612*k**2 + 12*k - 803*k**2 - 808*k**2 + 4 - k**3 - 3 to the form z*k + m*k**2 + s + u*k**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 57*t = -40083. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = r + 12, 3*o + 19610 = -r + 19626 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/41 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 2050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -743\/13 + 9601\/130. Is 18 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -37*r**2 - 47*r - 8. Let s(m) = 111*m**2 + 163*m + 25. Give 7*a(g) + 2*s(g).\nAnswer: -37*g**2 - 3*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68 - 956*o - 1396*o - 128*o - 68 to the form i + y*o and give y.\nAnswer: -2480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40*(4 - 18\/4)*(-12)\/5. Solve -120*i + 108*i = s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31425214 (base 6) to base 4.\nAnswer: 3200323222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 13*w**2 - 7. Let b(l) = 0*l**2 - 3 - 3 - 4 + 20*l**2. Determine -5*b(s) + 7*u(s).\nAnswer: -9*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose 2 = m, 5*m = -a*u + 4*u - 16. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 21?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-1)*v)**(-33))**(-10) assuming v is positive.\nAnswer: v**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3155576395.\nAnswer: 5, 79, 7988801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 4) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44191.46ml in litres?\nAnswer: 44.19146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -191.0174 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(1\/23)*h\/(h*h*h**(-4\/13))*(h*h**(3\/2))\/((h**(-2\/7)*h)\/h*h*h*h) assuming h is positive.\nAnswer: h**(573\/4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58269?\nAnswer: 3, 19423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 3*q + 3*q. Let h = 2 - 4. Let z(c) = 4*c. Let r(s) = -4*s. Let f(j) = h*r(j) - 3*z(j). Determine f(l(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2396570872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**2 + 1620*b - 7975 = 0.\nAnswer: 5, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Let o be h(0). Find the second derivative of 7*i + 2*i**2 + 8*i**4 - o*i**2 wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1137*p - 6828. What is b(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 8.7. Let r = -8.5 - -8. Let s = 154\/3 - 317\/6. Which is the third biggest value? (a) u (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 + 2*f - 11. What is w(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390767 is divided by 2945?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, 2, 3, -90\/509 in ascending order.\nAnswer: -90\/509, 0.112, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 194, 387, 580, 773, 966?\n\"Answer: 193*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196196 and 31262?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12971 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/112 + 3*6\/(-288) and 37\/256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from maaaaalmlammawml?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -34*i. Let p(x) = -x**3 - 8*x**2 - 9*x - 6. Let d be p(-8). Let s = 68 - d. Let l(w) = -3*w**2 - 2*w**s + 3*w**2 + w**2. What is a(l(u))?\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 394*g + 61. What is the units digit of j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193999.\nAnswer: 13, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*n - 26, 4*n + 28 = -2*s - 0*n. Let a be 4\/s - 226\/(-4). Calculate the highest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h - 5. Let c be q(-5). Let d be (c\/40)\/((-42)\/8). Determine y, given that 2\/7*y**4 - 2\/7*y**2 + 2\/7*y**3 - d*y + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-160)*4)\/(3 + (-315)\/10).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-675))\/((-3)\/(30\/(-2))). Factor -2\/9*m**2 + s + 0*m.\nAnswer: -2*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 0.137.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 - -376. What is the remainder when 70 is divided by o\/8 - 0\/(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26937 and 12.7.\nAnswer: -342099.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 50*s + 1782. Let k(y) = 4*y + 2. Give 12*k(v) - l(v).\nAnswer: -2*v - 1758","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186182\/3 or -62061?\nAnswer: -186182\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3233 - -1223?\nAnswer: 11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + t + 11*t)*(-7 + 3 + 3)*(97 + 104 - 124) to the form u*t + d and give u.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 25. Let d be 5\/(-10) - v\/4. Solve -4*n - 21 = i - 0*n, -2*n = -d*i + 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1267*w**5\/10 + 1062*w**2 - 2633*w. Differentiate c(r) with respect to r.\nAnswer: -7602*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 14*k**2 - 15*k - 23. Let f be x(-13). Solve -3*y + 3*d - 16 = -5*y, d + 13 = f*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*h = 285*h - 441715. List the prime factors of h.\nAnswer: 5, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 106 - 4. Solve -8*k + 2 = -c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 0*c - 12 = 5*c + 16, -3*c = -41570*d + 41561*d + 144 - 18 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*i**3 - 31*i**3 + 0*i + 6*i.\nAnswer: -197*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let z(n) = 4138*n + 4. Give z(r(t)).\nAnswer: -4138*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 28*f - 101 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 37. Let n be 630\/(-20)*(-8)\/g. Let i = n + 337\/8. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose -5*b + 21 = -4*k + a*k, -3*b + 2*k + 15 = 0. Find the second derivative of 4*i - b*i - 2*i**3 + 2*i wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43088, 43087, 43086, 43085, 43084, 43083?\n\"Answer: -g + 43089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8049.\nAnswer: 3, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 50. Let k(w) = -2*w**3 - 4*w**2 + 3*w + 7. Is k(j) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 20*b + 8. Let g(y) = -2*y + 2. What is the smallest common multiple of g(-3) and p(-11)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m. Let i(y) = 919922066*y**2. Determine l(i(p)).\nAnswer: 919922066*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10793553 divided by 3597851.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/12)\/(3\/9))\/((-30)\/560).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/10)\/8)\/(16\/(-20))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**2\/2 + 207*b + 59\/2.\nAnswer: (b + 59)*(7*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39380383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/4)*x*x**1*x*x*x**(-2)*x*x**(2\/7)*(((x**(-2\/7)\/x)\/x)\/x)**(-45)*x\/x**1*x*(x\/x**4)\/x assuming x is positive.\nAnswer: x**(4155\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17640 divided by -140\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Let s = -13 - -11. Is r bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5871)\/10773 - 6\/(-63) and -2\/81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50 - 1\/2*m**2 - 10*m = 0. Calculate m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 5. Let u be (-6)\/(-3) + 1 + 0. What is the lowest common multiple of u*(8\/6 - 0) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 4*h - 1. Let y(q) = -2*q**2 + q + 2. Let b be y(-2). Let d = b + 5. What is the units digit of c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 - 20\/28. Let j be s\/(-4) + 46\/8. Suppose -30*w = -25*w - 20. Solve j = -t + w*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261956659.\nAnswer: 547, 478897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3152 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*s**2*y**2 + c*s**2*y + 126*c*s**2 - 2*c*s + 546*c*y**2 - c*y - 2*s**2*y**2 wrt y?\nAnswer: -6*c*s**2 + 1092*c - 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -97 (b) -1\/200 (c) -2\/4363\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2)*k*k*k\/(k**(-5\/3)\/k))\/(k**0)**(-15\/2))\/(k**(-3\/4)*k**(-1)*(k*k**(-1\/7)*k)\/(k\/(k**(-6)\/k))) assuming k is positive.\nAnswer: k**(1139\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:24 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 78972 from -1.59.\nAnswer: -78973.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o - 31*o = -15*o - 34752. Which is bigger: o or -384?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -22 + 4. Let s(q) = 5*q + 2. Let x = 21 - 20. Let o be s(x). Solve d + k = -2*a, 0*a - a - o = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjccj. What is prob of sequence cjj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/4*87\/6*(-4)\/(-8). What is the highest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - -2 - (-2 - -22). Let h = -28 - -3. Let s = h - z. Sort 2, s, 1 in increasing order.\nAnswer: s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -74725360 divided by 4\nAnswer: -18681340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.01 (c) 236\/957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009005 * 27.\nAnswer: -0.243135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 10. Let j be 3 + (3 + m - 1). What is the third derivative of b**2 + j*b**4 + 5*b**4 + 0*b**4 wrt b?\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:09 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.78 to 0 decimal places.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(4\/7)*v**(1\/2)\/v*(v*v**0)\/v**(5\/6))\/((v*v**(-1\/3))**(-2\/35)\/(v**(-2\/15)\/(v*v*v\/(v**(-1\/12)*v)))) assuming v is positive.\nAnswer: v**(-25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.5720293 to one dp.\nAnswer: 76.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/572*404 + -8 + -1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1.2 (b) 68 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*z = 24*z + 3286665. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 12. What is v(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.4, -4, -0.2, -237?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57874 is divided by 38?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from {l: 4, z: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 11*l**2 + 12*l + 20. What is the tens digit of k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 36. Solve -3*t - 4*i = -t - 24, -3*t = -5*i + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68.9 - -69. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00098604 rounded to five dps?\nAnswer: -0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 + 8 - 10*h**3 + 5*h**3 - 6 + 5*h - 7*h**2. Determine n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 540 - 15?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + 1.4. Which is the nearest to 1? (a) k (b) 4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 bigger than 825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -468, -708, -950, -1194, -1440?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 205 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -39*n + 160. Let d(i) = 13*i - 54. Let j(t) = 2*b(t) + 7*d(t). What is the hundreds digit of j(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 41 = 4*i - 14, 0 = 3*p - 4*i - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 + 8*a**3 - 5*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 4*k. Let f(q) = 11*q - 1. Let u(r) = 3*r. Let a(v) = f(v) - 4*u(v). Calculate 2*a(t) - w(t).\nAnswer: -2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681455 (base 9) in base 2?\nAnswer: 111101000110100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, -0.1, -2\/9, -18.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 318394 or 318391?\nAnswer: 318391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.73 - 4.5. Let l = 0.03 - y. Is l greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Suppose -1 = h - 3. Solve -3*f = 4*t - 10, -2*f - 4 = -3*f - h*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101803\/6 or 16967?\nAnswer: 101803\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -211781.787 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.95. Is i < -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 159 = 5*o, -21*b + 20*b - 64 = -2*o. Suppose o + 47 = 40*q. Solve w - 4 = q*j + 1, w + 5*j = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 - 2*c**4\/3 + 3*c**3\/2 + c**2\/2 + 2*c + 853. Suppose -5*g - 4*i - 30 = -3*g, -4*i - 3 = -g. Give m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -490\/971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -223\/1206150 and -82\/2475?\nAnswer: 3618450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 11*g**2 + 19*g + 9. Let x(o) = o**3 + 5*o**2 - 9*o - 4. Let j(v) = -4*v - 19. Let r be j(-4). Let w(y) = r*k(y) - 7*x(y). Calculate w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*2\/(-3). Suppose s - 6*s + 12 = -p, 2*s = p + 3. Let u = p - l. Solve -r - u*r = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtfanf. What is prob of picking 1 f, 1 d, 1 n, and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)*(m\/(m\/(m**(-9\/7)*m)*m))\/m)**(-46) assuming m is positive.\nAnswer: m**(3634\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*3*6\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 21 = -2*b, -4*b - 15 = -2*z - 53. Suppose -5*a = -2*y + 118, -5*a - 126 = 4*y - 332. What is the lowest common multiple of y and b?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1375 and 50?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 8 = 0, -7*t - 1292368*i + 1292367*i - 100 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 3) to base 13.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*u + 276, -2*a - 3 - 1 = 0. Let k be (-600)\/30 + (6 - 0). Let q = k + u. Calculate the highest common factor of 32 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + (51 - (49 - -85)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-29)\/(870\/156)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304\/3 equal to 1\/2988?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*u + 5, 0 = -u + p - 6*p + 21. Suppose 4*o - i = 9, -5*o + 4*i + 7 = -7. Which is bigger: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-20)\/8)*-218 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -82, -194, -302, -406?\n\"Answer: 2*b**2 - 118*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 6*i**2 - 13 - 8 + 11*i**2 - 10*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 353\/3160 and 18\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 3\/(3\/(-80)). Suppose 2*x - 165 = -3*b, x - p = 2*b - 3*b. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 121, 229, 347, 457, 541, 581?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 1 (c) 0.3 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26758, 53541, 80324, 107107, 133890, 160673?\nAnswer: 187456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -38*h**3 - 5*h**2 + 15*h + 27. Let t(r) = 76*r**3 + 10*r**2 - 30*r - 53. Let x(v) = -11*g(v) - 6*t(v). Is x(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 5*w - 4*w to the form g + o*w and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w + 5*w + 5*w)*(65 - 19 - 114).\nAnswer: -204*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36236051506 and 0.03.\nAnswer: 36236051506.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13037788?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 127. Suppose 22 = n + n + 4*m, -4*m = u*n - 25. Solve -6\/5*l**2 - 2\/5*l**n - 2\/5 - 6\/5*l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 2\/7 (c) 0.1 (d) -0.2 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131 + (2 - ((-11 - 5) + 39 - 13)).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**4\/30 - 2*n**3\/15 + n**2\/5 - 6*n. Determine i, given that m(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56876.72 centuries to decades.\nAnswer: 568767.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*r)**12\/(r**0)**(-19\/3) assuming r is positive.\nAnswer: r**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 118795\/69 - 16\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/16*(-1956942)\/1413)\/(-45). Let b be (3\/(-3))\/(785\/11). Let p = t - b. What is the common denominator of p and -49\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znyzzqqyyz. What is prob of sequence qq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (7 - 0) - (-110 - (-24 - 5 - 7))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6854 is divided by 342?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2156 and 222362?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -9. Suppose 0 = 5*b - s - 72, -59 - 1 = -5*b + 5*s. Let j be (9\/12)\/(b\/12). What is the third biggest value in k, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 23 + 47 = 5*d, -5*u + 64 = 3*d. Solve m + 3 = 1, 3*a - d = 5*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 4, c: 3, d: 2, b: 1}. Give prob of picking 1 b and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 74?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4184, 35560, 121330, 288692, 564844, 976984, 1552310, 2318020?\n\"Answer: 4533*s**3 - s**2 - 352*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 25 = -n, -3 - 12 = -3*y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 3*q - 3. What is the remainder when y(4) is divided by 13\/(65\/10) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9436 + 4*g - 9436.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(80) + -1 + 3 - ((-4 + sqrt(200)\/sqrt(4))**2*-1 + 2).\nAnswer: -79*sqrt(2)\/2 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551900.\nAnswer: 2, 5, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**29\/b**14)\/(((b**(4\/13)*b)\/b)\/(b\/b**(-30))) assuming b is positive.\nAnswer: b**(594\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901282 is divided by 300327?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**2*n**2 - h**2*n*q**2 + 362*h**2*n*q - 2*h*n**2 - 2*h*n - h*q**2 - 2*n**2 - 3*q**2 wrt h?\nAnswer: -12*n**2 - 2*n*q**2 + 724*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*4\/5*5\/(-2). Let a be (-6)\/27*6*4\/j. What is r in a*r**2 + 0 + 1\/3*r = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 1. Let u = 2 - x. What is the nearest to 2\/7 in 1, 2\/7, u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/(14*5\/(-210)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -2295.5082.\nAnswer: -2295.2082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 158 = -3*f, 4*k + 274 = -2*f + 7*f. Is f equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1342 != -7\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 203*q - 49. Calculate y(51).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -11*o**3 - 17*o**2 - 17*o**3 + 2*o + 34*o**3. Let h(w) = -2*w**3 + 6*w**2 - w. Determine -6*f(n) - 17*h(n).\nAnswer: -2*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b**2 - 4*b**2)*(3 - 3 - 2*b) + (-b**2 + 4*b**2 - b**2)*(3*b - b - 5*b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28970 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppvvvppviipv. What is prob of sequence iipv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5460 divided by -6\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012368, -2024765, -3037188, -4049631, -5062088, -6074553?\nAnswer: -7087020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/(2\/(-78)). Suppose -2*k - l = -g, -6*l - 1 = -k - l. Let m(h) = h**2 + h - 18. Let j be m(-5). Solve -2 = j*v + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -257, 4, -2\/9, 4\/7 in ascending order.\nAnswer: -257, -2\/9, 4\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + 1 + -5 - sqrt(432))**2 + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -24928, 7, 1, -1, -5 in descending order.\nAnswer: 7, 1, -1, -5, -24928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -57 - (2787 - 2804)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 - -13.82. Let a = -11 + o. What is the nearest to 0.2 in a, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3, i = 3*r - 3*i + 6. Is 42\/4*(3 - 58\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 8}. What is prob of sequence guuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 394 - 392. Suppose -5*p - 2957 = -x*j, j + p = -p + 1456. What are the prime factors of j?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5565 + 35?\nAnswer: 5633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0 - 5\/6*f**4 + 3\/2*f**3 - 1\/5*f**5 + 2\/5*f**6 - 5\/42*f**7 - 4*f - f**2. Factor m(s).\nAnswer: -(s - 1)**3*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8716*i**2 - 60691*i**2 - 35367*i**2 - 97545*i**2.\nAnswer: -184887*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -5. Let o be 7\/y*(1 + 32). Suppose -o = -2*m - 9. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 280\/210 + 4272\/9. Suppose -p + 4*p + 195 = 0. Let o = p + z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-2)\/88*1\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 133876.\nAnswer: -12\/33469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.103723 hours in weeks?\nAnswer: 0.476807875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -14, 4.9, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 15*b = -18*b - 5*m + 50, 17*m - 170 = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3920\/560)\/((-7)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -134. Suppose -3*k + 7*c = y*c + 48, -k - 31 = -4*c. Is k > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - r**2 - 1 - 3*r - 10*r**3 + 0*r. Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 5.1. Let u = c + -3. What is u rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -28.4. Let f = s - -4.5. Let m = -5 - -5.03. Which is the biggest value? (a) f (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**4 - 4*h**3 + h. Let u(n) = 5*n**4 - 3*n**3 + n. Let f(d) = -4*u(d) + 3*x(d). Find the second derivative of f(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4279*s**2 + 4280*s**2 + 4277*s**2 + 13 + 4267*s**2 + 4274*s**2 - 21374*s**2.\nAnswer: 3*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 3*s + 39 + 4*s**3 + 328*s**2 - 367*s**2 + 0*s**3.\nAnswer: 3*(s - 13)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -429, -1724, -3883, -6906, -10793, -15544, -21159?\n\"Answer: -432*c**2 + c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 5294199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*r - 624. Suppose -4*x + 6*x - 4*k - r = 0, 2*x - 100 = 3*k. What is the derivative of -81 + 56 + 15*p - x*p wrt p?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701 divided by 3078460.\nAnswer: -701\/3078460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -4.\nAnswer: -69\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7880.77692 + 19657.21783. Let y = 11775.9 - f. Let u = 0.54 + y. Round u to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 171 (b) 2\/3 (c) 2\/95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 1843*l**4\/4 - 4435*l + 2045. Differentiate f(s) wrt s.\nAnswer: 5529*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 260. Suppose -p + w + 5 = 0, w + w + 22 = 5*p. Suppose -t + 65 = p*t. What is the highest common factor of l and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 6*p + 0*p - 5*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30127699 divided by 4\nAnswer: -30127699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.013245464\nAnswer: -0.0052981856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314881 (base 9) in base 15?\nAnswer: 30a574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 1047 = -2*y. Let u(v) = 286*v - y*v + 287*v. Let z(f) = -97*f**2. Calculate z(u(j)).\nAnswer: -388*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8310 + 8305.137. Let y = -0.137 + o. Let h be ((-3)\/(-2))\/((-6)\/8). What is the smallest value in 2\/7, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + -67 - ((2 + -9 - 4) + -9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 24 = -2*f. Let p(k) = k - 6. Let b be p(f). Solve 5*d + b*x + x - 1 = 0, 4*d + 2*x = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -7774?\nAnswer: -7774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 198\/((-6)\/(9\/(-3))). What is the hundreds digit of 26\/(9\/(c\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 1050791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 105 times 259046\nAnswer: 27199830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/18 - (-87)\/18. Suppose 0 = j*h + g - 231 - 84, 0 = -h + 3*g + 63. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237557 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + l**3 + 13*l**3)*((2*l + 0*l - 3*l)*(-2*l + 2*l - 2*l) - 3*l**2 - l**2 + 3*l**2).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45102 (base 12) to base 10.\nAnswer: -91730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0 + 12*u - 3\/2*u**3 + 3*u**2 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-139 + 2305981\/16587)*3\/(-2)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 6. Let r be 17\/(-3) - 4\/(-6). Let k(o) be the first derivative of o**2\/2 + 5*o + 1. Give r*q(m) + 6*k(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.5\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 2*o - 0, 5*w + 9 = -2*o. Let z(m) = -m - 3. Let p be z(w). Which is greater: p or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*14\/(-9800)*24.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19281466*v**4 - 3*v**2 + 82873*v - 880 wrt v?\nAnswer: -231377592*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 22 = 2*y, -33880*y = -33877*y - 3*g + 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.056\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 - 3254 = -2*n. Suppose 77 = 23*x + 31. Is (0 - n)*(-2)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9790\/4879 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130347 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1930 - 1020. List the prime factors of z.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 12*p + 4*p - 1 - 6*p**2 + 3*p**2. Let k be y(-7). Let l = 52 + -50. Solve -3 = r + f, -r - 4*f - k = -l*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcpcqpppqpppcc. What is prob of sequence ppc?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13106403?\nAnswer: 3, 1456267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 64*j - 181. Calculate y(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -19649 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4191 + 4371 = 9*i. Let l = 14 - 9. What is the remainder when i is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + -18ed?\nAnswer: -1913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/10079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 25 = -5*o + 3*b, b = 3*o + 26. Let d = 13 + o. What is the units digit of ((-8)\/(-10))\/(d\/90)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591 - 2.91?\nAnswer: -593.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30156999 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 39 - 6)*(9 - 16 - 23)*(3 - 3 - g).\nAnswer: -1470*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8cc2 (base 14) to base 7\nAnswer: -131232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 13*b**4\/12 + 6*b - 24. Let f(l) = 3*l - 4. What is k(f(w))?\nAnswer: 117*w**2 - 312*w + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2144 - 1220. What is the remainder when j is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*((-12350)\/(-1300))\/((-2)\/4).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/17163450 and -95\/8238456.\nAnswer: 205961400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/20321 - 87088\/20321. Let k be 1\/(0 + (-1)\/(-4)). What is the nearest to -0.1 in k, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7333.\nAnswer: 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d**2 - 39*d + 32. Let t be i(9). Solve -2*m = -t*b + 13, 4*b - 7*b + 3*m = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (2448864\/(-1100))\/72.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 366 by 61.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.7 - -8. Let y(v) = -7 - v**2 + 7*v - v**2 + v**2 + 3*v**2. Let p be y(-5). Which is the third smallest value? (a) -2 (b) i (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 14 - 4, -2*s - 5*q - 19 = 0. Let z(u) = -u. Let h(x) = -x. Calculate s*z(j) - 2*h(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105255028?\nAnswer: 2, 443, 59399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680061 and 35730.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1. Let g(r) = 40*r**2 + 3*r - 36. Let p(h) = -g(h) + 2*q(h). Let s(d) = d - 1. Let c(z) = p(z) + 3*s(z). What is the derivative of c(f) wrt f?\nAnswer: -80*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 7, 196, 1?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23470 - 16409 = -254*y - 25705. Put -44, -1, y in increasing order.\nAnswer: y, -44, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41493318 divided by -7674?\nAnswer: -5407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230759375.\nAnswer: 3, 5, 53, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/174)\/(((-1880)\/(-7050))\/(8\/15)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.914508 litres in millilitres?\nAnswer: 8914.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 7:39 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*j + 18 = -16, -4*j + 40 = 4*v. Let l = 1 - v. What is the remainder when 3 is divided by -2 + 0 + 10 + l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495203 is divided by 1868?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 692634264*b + 59967777958352712.\nAnswer: 2*(b - 173158566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -23, -3.\nAnswer: -23, -7, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*o - 166*o = -1528. Calculate the remainder when o is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1, 2, -0.6, -2\/7, 11311?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 14}. Give prob of sequence okoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7648753.\nAnswer: 7, 139, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05277 and 1.\nAnswer: -0.05277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 7*x**2 + 15*x**2)*(-x**3 - x**3 + 0*x**3) + (2*x**3 - 2*x**3 - x**3)*(4 + x**2 - 4).\nAnswer: -25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(-1)\/((-3)\/17) and (56\/6 + -10)*138\/32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-2)\/(-24)*(0 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130750 divided by 137.\nAnswer: 130750\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -981*b - 948*b + 13 + 2297*b**2 + 1985*b. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1)\/(r\/(r\/(r*r**(-1\/9)*r*r))))\/(r**(-7)\/(r\/(r*r**(-1)))))**(-15))**(-2\/5) assuming r is positive.\nAnswer: r**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -481973\nAnswer: 4819730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4699.2?\nAnswer: -14097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2\/7, 1 in decreasing order.\nAnswer: 1, 2\/7, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*c - 1 - 2 + 1 - 1 + 2*c - 2*c + 0*c + 3*c + (-3*c + 2*c + 2*c)*(-4 + 2 + 0))*(11 - 11 - 6*c**2) as l*c**3 + d*c**2 + s + g*c and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -29\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from yqgqqgyqyq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2336382, -2336389, -2336408, -2336445, -2336506?\n\"Answer: -v**3 - 2336381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8290788*o. Let i(b) = -b**2. What is i(s(f))?\nAnswer: -68737165660944*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11508 and -0.0614.\nAnswer: -706.5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*p + 3*z, -7*p + 3*z + 32 = 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 3*m**2 + m**2)*(m**3 - 3*m**3 + 2 - 7*m**3).\nAnswer: 18*m**5 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0, -1\/14, -1\/3 in descending order.\nAnswer: 0, -1\/14, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (-3 - -5) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by -8946155\nAnswer: 108\/8946155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/26*(-299)\/(-46). Factor -1\/4*h**5 + 1\/4*h + 0 + 1\/2*h**2 - r*h**4 + 0*h**3.\nAnswer: -h*(h - 1)*(h + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 939, -4788 in descending order.\nAnswer: 939, -1, -4788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 2 + 0*t + 15 + 4*t - 35 as b + a*t and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let y be 0\/1 - (f + -1). Let g be (-8)\/10*(y - 7). Solve 4*c = g, 0*t - t + 5 = 5*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxrbubrxubbb. What is prob of sequence rr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.015996 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-217)\/((-1953)\/90)*1\/5*15\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 592117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -32 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3796*f**2 + 4312*f - 4312*f - 745*f**2.\nAnswer: -4541*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93134 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaatfakf. What is prob of picking 1 k and 2 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 + 141214?\nAnswer: 141154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 5*h - 6. Let f be q(5). Let m(d) = -d + 6. Let t(j) = -2*j + 7. Let s(p) = f*m(p) + 5*t(p). Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*w - 3 = 0, s - 2*w = 3 - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (5 - (12 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(2\/(-10) + -1). Let g = 249 - 247. Let z(b) = 692*b**3 + b**g - 5*b + 4 + 4*b**2 - 691*b**3. Give z(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcjpcapprjba. What is prob of sequence bc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 160926124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1426008 or 52762300\/37?\nAnswer: 52762300\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (282 - 290) + (-104)\/(-14). Let g = -0.1 + -0.1. Which is the second biggest value? (a) -0.1 (b) v (c) 0.4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1403635 and 1670.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q**3 + 31*q**2 + 3*q + 6. Let s(r) = -29*r**3 + 65*r**2 + 5*r + 10. Determine 5*j(o) - 3*s(o).\nAnswer: 17*o**3 - 40*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k - 20. Let t be f(0). Let a be 2\/5 - 64\/10. Let x be a\/(-9) + t\/(-6). Solve 0 = 3*p - p + 8, 12 = x*d + p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -898*s - 29921. What is d(-35)?\nAnswer: 1509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1269 = -1289. Let t = 3 - 3.3. Which is the second smallest value? (a) -0.2 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002179 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 + 7*p**5\/60 - p**4\/3 + 7*p**3\/6 + 2*p**2. Let y be w(6). List the prime factors of (-58)\/y + 9\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151 - 151 - 80*u + (-3 - 1 + 6)*(2*u - u + 2*u) to i + n*u and give n.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 957.851\nAnswer: 4789.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 84?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13198860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*b - 1, 2*k + 3*b + 0 = 1. Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*g - 42, -3*d = 2*g + 1 - 4. Determine c, given that 2*c**3 + 7*c**2 + 14*c - g*c**2 - 18*c = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10387 is divided by 1724?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/195 + -1\/39. Which is the biggest value? (a) r (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 2*a**2 + 5 - 2*a**3 + 2*a + 3*a**2 + 0*a**3 to o*a + k*a**3 + g + j*a**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1625964\/11 + -147933. Let l = m - -118. Let t = -0.03 + -0.07. Which is the nearest to t? (a) l (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-10)*(-11)\/(-231)*35. Let m(f) = f**3 + 26*f**g + 0*f + 2*f + 14*f**2 - 4 - 34*f**2. What is m(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.261717635 to 4 dps.\nAnswer: -1.2617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -4*o, 7*q + 28 = 3*q - 4*o. Suppose -j - 4*a + 16 = 0, 2 = -3*j + a - 15. Is q >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 + 4*i - 2. Let q be m(-8). Suppose -3*p = -0*p - q. Suppose 3*l = 0, 14 = x - 3*l - p. Calculate the greatest common divisor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703728 - 703728 - 41*u.\nAnswer: -41*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -169780 rounded to the nearest 1000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 divided by 5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13443 - -4?\nAnswer: 13451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 18)\/((-9)\/(-12)). Solve -6*n - c - 8 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -18 in decreasing order.\nAnswer: 4, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 227368747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/8, -21\/4, 3 in decreasing order.\nAnswer: 3, 3\/8, -5, -21\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -21. Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 610 - 4945 = -5*i, -2*i + 2255 = 5*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -482*o**2. Let w(r) = 2*r - 998. What is w(k(m))?\nAnswer: -964*m**2 - 998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-3 + -16) - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-929)\/(-2)*(13 - 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 6*v**4 + 6 + 8*v**4 + (-5 + 5 - v)*(0*v**3 + v**3 - 3*v**3) + v**4 + 0*v**3 + 0*v**3.\nAnswer: 5*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*g - 391*g - 251*g + 172*g to q*g + z and give q.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, -1\/5, -3 in increasing order.\nAnswer: -4, -3, -1\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 1)*(-1 + 5 - 2) - 5 + 0 + 2 + 2 - 4 - 8)*(3*n - 6*n - n)*(16*n - 27*n + 2 - 8*n) as y*n + h + j*n**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/2008 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/6 - 5*v**3\/3 + 4*v**2 + 5*v\/3 - 25\/6 = 0. Calculate v.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138401 is divided by 1058.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168180445, 168180449, 168180453, 168180457, 168180461?\nAnswer: 168180465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) -0.1 (c) 5 (d) -6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.79817192 to one decimal place.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*1)**2*2.\nAnswer: 3744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 100. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**4)\/h*h**(-4))\/(h**(-1\/3)*h)**4 assuming h is positive.\nAnswer: h**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/10)\/(a*a\/(a\/(a\/(a*a**(2\/27))))*a) assuming a is positive.\nAnswer: a**(-601\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 853144 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7472*5\nAnswer: -37360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1003?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 44348809 to the nearest 1000000.\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*b - 83*b = 0. Let u(r) = -r. Let y be u(4). Sort -2, y, b in descending order.\nAnswer: b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8))**(-1\/28)*d**(-9\/7)\/d**(2\/37))**(-19) assuming d is positive.\nAnswer: d**(741\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2*x**2 - 4 + (-x + 0*x + 4*x)*(-2 + 2*x + 2) to the form c*x**2 + q*x + k and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/20)\/q*q**(-7\/4))**(-1\/22) assuming q is positive.\nAnswer: q**(13\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 7) in base 4?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*j + 16*j + 130. Suppose -q = 2*p - 90924 - 29097, j*p - 3*q = 300080. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 4*j + 5. Suppose -14*v + 10*v + 20 = 0. Determine p(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -3431560.255?\nAnswer: -3431560.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*n - 7 = -h, -5 = -5*h - 5*n. Suppose 0 = -3*q + h*q + 36. Suppose 0*c + 4*c = q. What is the highest common factor of c and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 less than -470259951?\nAnswer: -470260149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 2, 5, -2, -25?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) -54155 (b) 0.1 (c) -5\/19 (d) -4\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (58 + -2 - -2) + 15 + -1 + 3 + -14\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 - 65 - 2*w**2 - 20 + 16 - 2*w**2 to v*w**2 + s*w + z and give z.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -7*l**4\/24 - l**3\/2 - l**2. What is the units digit of g(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z - 9*z + 82*z - 27*z - 25*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4390\/11 + -42723\/110. What is the common denominator of x and -37\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -1437.\nAnswer: -1437.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 2*x + 4752. Let l = x - -260. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w + 16. Suppose -4*f - 41 = -5*r - 114, 3*f + 4*r = 78. What is the remainder when f is divided by w - (4 - 2) - -11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -19427\nAnswer: 3885.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q + 17*q - 28*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 1.05, 0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146ab + -19?\nAnswer: 14692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*x + 2*o - 2, 0 = -5*x + 2*o - 2. Find r, given that -22*r**3 + 32*r**4 - 19*r**5 - 27*r**2 + 31*r**2 + x*r**3 + 5*r**5 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1066)\/(-8) - 30\/(-40). Suppose w - 2 = 4*g. Is (g\/(-12) + 2)*-92 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*q**2 + 193 - 97*q + 51*q + 46*q with respect to q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 + 4*x**2. Let n(j) = j**2. Give 5*n(s) - u(s).\nAnswer: 4*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*b**2 - 88*b**2 + 226972*b - 226972*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.591 - -1.991. What is the second biggest value in -0.1, 2, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41\/2 of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(60)\/(sqrt(24)\/(sqrt(6) - (1*sqrt(6) - sqrt(6)))))\/(-5*(-3*sqrt(720) + sqrt(720))*-3).\nAnswer: sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9*v = -13*v + 988, -4*l + 3*v + 1998 = 0. List the prime factors of l.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 + -11)*(-25)\/(-2). Let m = l + 181. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.162 (b) -4 (c) 0.2 (d) 2.626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 15 + 5 = l, 4*l = 2*j + 30. Solve -l*g - 2*u + 7 = 0, 3*g - 2*u - 8 = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.5 (b) -0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300090*w**4 + 5*w**3 + 4918187*w.\nAnswer: 3601080*w**2 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557605386 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51.1 - 51.1000125. What is b rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-2\/13)*(o*o**3*o)\/o*(o**(-1\/3)\/o)**(8\/7) assuming o is positive.\nAnswer: o**(907\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**6\/9 - 16*t**5\/15 + 4*t**4\/3 + 8*t**3\/9 - 10*t**2\/3 + 8*t\/3 + 109. Suppose j(v) = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220120 - 42012?\nAnswer: 123103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 2\/7, -0.1, 67\/12, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = r. Suppose 0 = -4*w, 0*w + 2*w + 8 = r*i. Let u(l) = 3 + 4*l**i - 6*l - 3*l**2 - 3*l + 6. Calculate u(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 83932476 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o. Let j(l) = -161344*l + 23. Determine j(p(s)).\nAnswer: 2097472*s + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:56 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.3 (c) -27 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*c**2 - 5*c**2 + 4*c**2 + (3*c - 6*c + c)*(-1 - c + 1) to k*c + j*c**2 + d and give j.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftty when four letters picked without replacement from qtoqqqtfqfffqofyfoy.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150524 and 75990673?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, e: 1, a: 1, h: 1, o: 2, x: 3}. Give prob of picking 1 h and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 0.558, -480, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let x = 5.12 - -264.88. Let r = x - 272. Is r less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**2 - 3*n + 5\/3*n**3 + 1\/4*n**4 + 10. Give u(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*r - 31418*r**2 + 73*r + 31421*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1*-4)\/(-2))\/6. Let o be 26\/16 + (2 - 4). Sort -4, l, o in decreasing order.\nAnswer: l, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvqqvv. Give prob of picking 4 v.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501756951.\nAnswer: 3, 7, 11, 17, 499, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 90?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 6b1?\nAnswer: 6b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*c*i*n**3 + 82*c*i*n**2 - 4*c*i + 2*c*n**3 - 2569*c - 9*n**2 wrt i.\nAnswer: 15*c*n**3 + 82*c*n**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/7 - 8500314*b**2\/7 + 860186239392*b - 5161073720544.\nAnswer: 3*(b - 1416716)**2*(b - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2469, -19395, -65203, -154335, -301233, -520339, -826095, -1232943?\nAnswer: -1755325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28835856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 588.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*r = -502 + 130, 3*g - 3*r - 297 = 0. Suppose 785 = 5*h + g. What is h rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 2*l**2 - l + 7. What is the units digit of k(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h + 162. Let o be y(20). Solve -7 = -3*d - o*m + 7*m, -2*m - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 773\/13416 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*k + 283*k - 796*k + 292*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -31*c + 60. Let d(h) = 20*h - 39. Let v(x) = -8*d(x) - 5*y(x). Give v(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k**2 + 59*k. Let r(d) = 19678*d. What is w(r(o))?\nAnswer: -1161671052*o**2 + 1161002*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/14 + 26\/14. Suppose 277 = -3*x - 4*q, -3*x - 2*q - 275 = -0*q. Let m = -634\/7 - x. What is the biggest value in m, -0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i + 8*i + 5*i + 17*i to m*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + r**2 - 6*r - 3. Suppose 2*l - 5*j + 18 + 1 = 0, 4*l = j - 11. Let d be s(l). Let c(v) = -2*v + 5. Give c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 590. Let b be c(0). Suppose 5*f + 25 = 0, b = -3*u + 3*f - f. Let d be (u\/(-3))\/((-2)\/(-6)). What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 5. Let d = -7 + 13. Let n = -34 - -35. Let h = n + 6. Let y(s) = 9*s + 6. What is d*y(l) + h*v(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 17. Let h be u(20). Let b = 60 - h. Which is smaller: b or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*c + 105*c = 56. What is the common denominator of 57\/22 and c\/49 - (29\/7 + 4)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(1\/50)*h\/h**(-7)*h**35\/(h**38\/h) assuming h is positive.\nAnswer: h**(349\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -1373, -4767, -11409, -22391, -38805, -61743, -92297?\nAnswer: -131559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(36)*-3)\/((sqrt(243) - -2*sqrt(243))\/sqrt(9)).\nAnswer: 10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 0 = -35. Suppose 0 = 8*i - 7*i - w. Calculate the lowest common multiple of 16 and ((-2)\/(-6))\/((i\/18)\/5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(44\/(-20) - -3)*70\/588. Suppose 5 = -2*f - 3*i - 3, -3*i - 2 = 5*f. What is the closest to y in 0, f, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3017 is divided by -13 + 9 + 1017 + 27\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*t + 21, -2*t - 1 = -t + u. Suppose t*d = -2*d - 160. Is -32 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 535, 5, -1, 19\/5, -3 in increasing order.\nAnswer: -30, -3, -1, 19\/5, 5, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -400\nAnswer: 5600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6215 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/30 - q**4\/6 + q**3\/3 - q**2\/3 + 10*q. Factor u(o).\nAnswer: 2*(o - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10, -3*a - 12 + 13 = 2*g. Is -2\/93 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923120891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 3*y + 8*y - 74 = -7*y - b, b - 120 = 5*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1414253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 106.\nAnswer: -2, 3, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 0\/((-2 + 0)\/(-1)). Let o(c) be the third derivative of -c**4\/6 - c**3\/3 - 41*c**2. Calculate o(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 21*t**2 + 141*t - 1593. What is j(23)?\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 425 and 306.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from alaaacxkxkcc. Give prob of picking 3 a and 1 k.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 850336 = 2843656. Let r = 27902261\/28 + j. Let v = r + 581\/4. What is the common denominator of -8\/7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1400\/7579 + -2\/689. Which is the nearest to -2\/7? (a) x (b) -1 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404472 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejj when three letters picked without replacement from jrereerjhrvrrhreeee?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2 - 2*w + 0*w**2 - 1\/6*w**3 - 1\/12*w**4. Let b(f) be the first derivative of o(f). Give b(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -1287, -1\/3, -2\/3, -10.7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3406 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8076 - 4811. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0 + sqrt(396) + -1 - (sqrt(396) + 1 + 1*sqrt(396) + sqrt(396))) + (-1 + sqrt(396) - sqrt(396)) + -1 + 3)**2.\nAnswer: 12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2 + -8 - -10) + (-38 - (-3 - -2))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002378563852 rounded to six dps?\nAnswer: 0.002379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(448) + 5*((0 + sqrt(448))**2 - sqrt(448)) + sqrt(448).\nAnswer: -24*sqrt(7) + 2238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/8 and 76\/4165.\nAnswer: 33320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*s**2 + 56*s + 4.\nAnswer: -(s - 2)*(29*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 909, 3776, 8547, 15216, 23777, 34224?\n\"Answer: -t**3 + 958*t**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*f + 238. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 15*t**2 - 10*t + 29. Let d(u) = 13*u**2 - 2*u - 1. Let f be d(-1). Is w(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -334335242 (base 6) in base 5?\nAnswer: -3024444144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 99, 200, 301, 402, 503?\n\"Answer: 101*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**(-50)\/((j*(j*j**(-6)\/j)\/j*j)\/((j*j\/j**(-1)*j)\/j))*(j**(-1))**(-40)*j**(-1\/3)\/(j\/(j\/(j\/(j*j**5))*j)) assuming j is positive.\nAnswer: j**(311\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*q**3 + 14*q**3 + 12*q**3)*(-1 - 6 + 3).\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -1, -1\/3, 3 in decreasing order.\nAnswer: 3, -1\/3, -5\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000403106468 rounded to seven decimal places?\nAnswer: -0.0004031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 30 + 7)*(-2*w + w + 0*w)*(w - 4*w + w + 3*w - 2*w + w - 4*w + w + w + (2 - 2 + w)*(3 + 3 - 4) + w - 3 + 3 - 4*w + 3*w + 2*w + 2*w - 5*w + 5*w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28, -0.109, 2?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 1:53 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 25 + 7*u - 29 + 51 as y*u + w and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:13 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.7 - 8. Which is the biggest value? (a) j (b) 3 (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 15795 - 15795.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 771584579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*l + l + 2*g, -5*g + 117 = 3*l. Let m(f) = -f**3 + f - 3. Let a(h) = 6*h**3 - 6*h + 17. Give l*m(x) + 6*a(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*z + 24, -z = -2*z + 1. Let g be c - 13 - 2\/(-47). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001111010101111110 (base 2) in base 11?\nAnswer: 1086982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9782647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -93*y. Let c(f) = 5*f - 16*f + 5*f + 7*f. Calculate z(c(l)).\nAnswer: -93*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 23. Let c be q(5). Is (21354\/(-8))\/(-3) - (-6)\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 0 = -48. Let p be (105\/y)\/((-4)\/8). What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p. Let b be (-21)\/(-12) + (-4)\/(-16). Let m(f) = 7*f**2 + 10*f**2 + 6*f**b - 27*f**2. Determine m(l(t)).\nAnswer: -144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 710 - 681. Suppose -2*b = 0, u = -p*b + 34*b + 30. Calculate the least common multiple of u and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 99*v**2. Let c(a) = -24*a. Determine x(c(i)).\nAnswer: 57024*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 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: Is 109049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14070 and 13020.\nAnswer: 872340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -5*q - 3*i - 2*i, -2*i - 464 = -5*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0 (b) -1\/547 (c) 0.3 (d) -0.4 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7039 + 7039.03. Sort -2\/3, 1\/3, a, -2\/5, -0.8 in descending order.\nAnswer: 1\/3, a, -2\/5, -2\/3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*t**2 - 5*t**2 + t**3 - 4 + 6 + (t**3 + t**3 - 3*t**3)*(2 - 6 + 2) to the form n + v*t**2 + f*t + i*t**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223419, 223529, 223639, 223749, 223859?\nAnswer: 223969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 4. Let i = w + 1.09. Round i to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20601850 to the nearest 100000.\nAnswer: 20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**2 + 6*b + 1. Find the common denominator of l(-2) and -4 + 4*34\/56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*c**3 + 2*c + 315 wrt c?\nAnswer: -258*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32666 is divided by 582.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2459160000 to the nearest one million.\nAnswer: 2459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = l - 3*u + 2, u = -1. Which is the biggest value? (a) 31 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3633.73 rounded to the nearest ten?\nAnswer: -3630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/180)\/((-9)\/27)*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/45 + 119*o**5\/40 - 53*o**4\/72 - 357*o**3\/4 + 267*o**2\/4 - 10230*o. What is x in m(x) = 0?\nAnswer: -3, 1\/4, 3, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 10*k - 22. Let f be 168\/36 - 3\/18*k. Solve -5*o + 0*o + 4*m = 37, f*o + m = -22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.190941966 rounded to four dps?\nAnswer: 0.1909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 188 - 188.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3515 - 2794. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031030.\nAnswer: 2, 5, 7, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 12489720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210141 + 4?\nAnswer: -210132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(343) - (-1 + (2 + sqrt(7))**2).\nAnswer: -10 + 38*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -442941240 by -88588248.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x - 61. Let s be q(-13). Let b be 10\/(-25) + 3 + s\/20. Sort b, -2, -15.\nAnswer: -15, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**3\/3 - 3. Let l(x) = -x**2. Give g(l(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83560 (base 9) to base 3.\nAnswer: -2210122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 13) to base 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1421, -8735, -28563, -67163, -130793?\nAnswer: -225711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.62117 centuries to years.\nAnswer: 9362.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**2. Let d(w) be the first derivative of 4 + 7*w**2 + 1 - 9*w**2. Give d(f(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**6\/1440 + k**5\/120 - k**4\/32 - k**3\/2 + 3*k**2. Let h(a) be the first derivative of l(a). Find m, given that h(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p**2. Let m(n) be the third derivative of 53*n**4\/24 - n**3\/3 - 16*n**2 + 11*n. What is f(m(h))?\nAnswer: -30899*h**2 + 2332*h - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -110111010000101110 (base 2) to base 9\nAnswer: -374440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/(12\/24). Let g(p) = -p**2 - p. Let i(d) = 7*d**2 + d + 5. Let b(h) = -3*h**2 - 2. Let c(x) = 5*b(x) + 2*i(x). Determine f*c(q) - 2*g(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36967 = -2514*i - 4285 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1952\/11 + 178. Let g = 751\/66 - c. What is the common denominator of g and 53\/(-4) + 0 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(136)\/sqrt(8) + -4)*2 + -4)**2.\nAnswer: -576*sqrt(17) + 2384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + r)*(-3*r + 2*r + 3*r)*(1306 - 792 + 1496).\nAnswer: 4020*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(99) + sqrt(99)*2)*5*6)\/(((sqrt(90)*-1 - sqrt(90))*4)\/(sqrt(40)*1)).\nAnswer: 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14710363, 14710353, 14710343, 14710333?\nAnswer: 14710323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let v(g) = g**3 - 4*g + 3. Let f be v(2). Solve f*o = -o + 2*b + 16, a = -4*o + 4*b + 20 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1777542*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/63 + -1\/9. What is the smallest value in a, 0.4, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*i**3 - 54*i**3 + 105*i**3 - 5*i**2 + (i**2 + 1 - 1)*(-2*i + 5*i - 2*i) + 4*i**2 - 4*i**2 + 2*i**3 in the form x + a*i**3 + p*i + h*i**2 and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfjfjjnbnnjnfjj. Give prob of picking 1 j and 1 n.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*i = 33866 - 5178. Is 49 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**3 + 2*y**2 + 2*y - 2. Let b be ((-3 - -3)\/3)\/1. Suppose 0*n - 4*i = -n + 18, b = 3*n + 5*i + 14. Determine w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 97120, 95510, 93900, 92290, 90680?\n\"Answer: -1610*o + 98730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 5, 18 in descending order.\nAnswer: 92, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, -5 in ascending order.\nAnswer: -5, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 333*k**2 + 176*k + 1621. Give t(-167).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -6 - -5)\/(2\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - 5 - (17 + 7).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4602690427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1744587 to 2 dps.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from kfk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124 + -20. Is r a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2078, -4, -19, 0, -1, -5 in ascending order.\nAnswer: -2078, -19, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*o - 4*i, 3*o - 2*i + 4*i = 1. Let t(b) = -b**3 - 2*b**2 - 2*b - 3. Calculate t(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from rcdcvdddddvrvvvvvd?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -15689.\nAnswer: -141201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624702843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74912 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.0113 rounded to 1 dp?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 - 7*k**2 - 6*k - 17. Let i be g(-5). Suppose 0 = -3*d + d + i. Calculate the highest common divisor of d and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 28.89. Let i = -2.89 - y. What is the closest to 0.1 in 1\/5, i, 4\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.3. Let r = -3 - 1. Let u be (-1 - -2) + (-50)\/30. Which is the third smallest value? (a) u (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/16 (b) -0.061 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1140630 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 4*l - 34 = 0, l - 130494 = 3*g - 130550 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 18. Suppose 0 = -t - 2*i - r, 0 = -5*t - 0*i + 2*i - 4. Let p = 270 - 269.7. What is the second smallest value in p, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-7\/4))\/(v**1\/v))\/(v**4\/v**(1\/9)))**(21\/2) assuming v is positive.\nAnswer: v**(-1169\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + y**2 - y + 1. Let s(q) = q**5 + 3*q**3 - 8*q**2 + 3*q - 3. Let d(n) = 6*k(n) + 2*s(n). Find the third derivative of d(f) wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-3)\/3)\/(-1). Solve -j*b + b = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 - 2*r + 6. Let u(o) = -o**2 - o + 3. Let x(a) = -6*d(a) + 13*u(a). Let y be x(0). Round y to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 + 3)\/((-4)\/2). Let n(t) = t + 2. Let d be n(o). Let g be d\/(-4)*0*1. Solve 3*j - k + 28 = 4*k, g = j + 3*k - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/(((-28182)\/22509)\/77)?\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 108873, 108874, 108875, 108876, 108877, 108878?\n\"Answer: z + 108872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15544?\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46315, 185438, 417367, 742102?\nAnswer: 1159643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 + -7 - 4) + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1201 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 20*q + 2. Let o be -24 - (-4 + (3 - 3)). Let y be b(o). Let r(i) = 2*i**3 - 2*i**2 + i + 1. Give r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 39 = -5*v, 4*f - 8*f = -4*v - 64. Suppose 5*p = -2*z - 11 - 5, -5*p + 40 = -5*z. What is the remainder when f is divided by -1*(z - (1 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*q - 24, 0 = 763*g - 760*g + 3*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1371 + -15082\/11. What is the second smallest value in 5, -48, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 7*x**2 - 3 - 14 + 1.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1338, -1660, -1970, -2262, -2530?\nAnswer: -2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:33 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*o = -s + 25, -2*s + 14 = -3*o. Suppose 9 = 4*p + s. Suppose -t = -p*t + 6. Solve 0 = -t*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -823 - 20509?\nAnswer: -21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3142981 is divided by 1047477?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251, -250, -251, -254, -259, -266, -275?\n\"Answer: -n**2 + 4*n - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68418?\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.111 + -0.311. Sort -2, j, 5, -3\/5 in descending order.\nAnswer: 5, j, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24321 + 1?\nAnswer: 24322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1468 - -1611. Calculate the highest common divisor of q and 156.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(52) + sqrt(260)\/sqrt(5) - sqrt(52))*5 - sqrt(52))\/(-2*sqrt(8)\/sqrt(2)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11212221111?\nAnswer: -11212221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1988 and 910?\nAnswer: 129220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t - 4*j = -53, -2*j = t - 7. Let a = -9 - -13. Suppose 0 = a*z - 2*z - 52. What is the highest common factor of t and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -35, -26, -15, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4170 divided by -834?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 80230 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10 = -4*o. Calculate the least common multiple of o and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 0*o - 7\/3*o**3 + 19 - 17\/7*o**7 + 0*o**6 + 0*o**5 + 0*o**4 + 0*o**2. Find the third derivative of l(b) wrt b.\nAnswer: -2040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 255 + -180. Calculate the greatest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/5 - 5*n**3\/3 + 15*n**2. Differentiate u(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -8 - (-13515)\/(-1272))\/((-2)\/16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56883156 is divided by 1891.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7020 and 306072.\nAnswer: 1530360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*u**2 - 70*u**2 - 5*u**2 in the form s*u**2 + p*u + k and give s.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17612, 18458, 19878, 21872?\nAnswer: 24440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 10147144?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 1346*w**2\/9 + 1348*w\/9.\nAnswer: -2*w*(w - 674)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/548123, 0.3, -1?\nAnswer: -2\/548123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s + 4. Let f(b) = b - 1. Let u(c) = -f(c) - l(c). Let m(p) = -15*p + 7. Let y(q) = -4*m(q) - 9*u(q). Give y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8765 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Let n = -0.02 - 2.98. Which is the closest to j? (a) -2\/5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 37*d**2 - 244*d - 39. Give a(28).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -7, -9, -11, -13, -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/q**(-9\/5)*q)\/((q*(q\/(q**(1\/6)\/q*q))\/q)\/q))\/((q*q*q\/(q\/q**(-12)))\/(q\/(q**1*q))))**(19\/5))**(1\/20) assuming q is positive.\nAnswer: q**(7961\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 79. Let m be f(21). Solve -5*t + 20 = m*p, -5*t + 11 = -2*p - 2*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456270.9ng to kilograms.\nAnswer: 0.0000004562709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -108*k. Let y(g) = 263*g. What is r(y(u))?\nAnswer: -28404*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 36518, 73890, 111262?\n\"Answer: 37372*h - 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyoyqoooyooaoyy. What is prob of picking 2 o, 1 a, and 1 q?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - v + 340 = 6*k, 2*k + 5*v = 218. What are the prime factors of 690\/(-45)*k\/(-4)?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1162, -2301, -3444, -4597, -5766?\nAnswer: -6957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-21 + 15) - -14 - (9 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnenlilhilnlil. Give prob of picking 3 n and 1 h.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:42 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/40 - w**5\/10 + 5*w**4\/48 + w - 126. Factor i(j).\nAnswer: j**2*(j - 1)*(3*j - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(3\/(-2763)). Let w = k + -197. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-42)\/(2 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 887, 984, 1079, 1172, 1263?\n\"Answer: -v**2 + 100*v + 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1141*w + 6659*w = -121396 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3 + 26*r**2 - 28*r**2 + 14*r - 26 - 4*r - 26*r. Give z(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + (-192)\/4)*(-2)\/4?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:51 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**4*r)\/r)\/(r\/(r**5\/r*r)))\/(r**(-3)*(r**(1\/4)*r)\/r*r) assuming r is positive.\nAnswer: r**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -33*a + 9. Let q be n(9). Suppose -225*t + 533 = -224*t. Let k = t + q. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*267.7.\nAnswer: -26.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 9}. Give prob of sequence shh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from {a: 1, d: 2, w: 2, u: 1, p: 1, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) -8.4 (c) 1\/4 (d) 319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.903795 to 1 decimal place.\nAnswer: -377.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3471, -6942, -10413?\n\"Answer: -3471*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = y + n, 0*n = 4*y - 4*n - 32. Let d = -10 + y. Calculate the remainder when 32 is divided by d*(-1 - (-26)\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(-11\/3)*m*m)\/m)**(-49)*(((m\/((m\/m**(-8\/7))\/m))\/m)\/m)**(1\/9) assuming m is positive.\nAnswer: m**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 + 0 - 7*y**3 - 10*y - 6 + 4 as g*y**3 + t*y + b + m*y**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3 + 34*l**2 - 12*l*w + 8*l + 452790*w with respect to l.\nAnswer: 3*l**2 + 68*l - 12*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, v: 2, t: 4, r: 2}. Give prob of sequence trvv.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*i = -2*a - 23, -a + 26 = 3*i. Suppose -4*u - u + a = 4*k, -2*u + 20 = 2*k. What is the greatest common divisor of 6 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 26*u**2 - 102*u + 25. Let k be n(20). Calculate the greatest common factor of k and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.2 + 15. Let h = 1\/12 + 1\/4. Which is the nearest to h? (a) 0.5 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3190 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (600\/(-45))\/((-2)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4053 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -273755.\nAnswer: 273755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.219 - 3.781. Let g(o) = -25*o - 1. Let i be g(0). Which is the nearest to -0.1? (a) i (b) l (c) -9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 6*z - 206. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*v = 4, -3*g = -2*v + 2 - 4. Is g <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 660*i + 6023. Let h be j(-9). Suppose -2*v - 3*r + 39 = 12, 3*r = -5*v + 45. Sort v, -1, h in increasing order.\nAnswer: -1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**4 - w**3 - w - 1. Let n(o) = -6 - 6*o - 4*o**3 + 0 + 14*o**2 + 7*o**4 - 13*o**2. Let k(u) = n(u) - 6*r(u). Factor k(s).\nAnswer: s**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2012 (base 3) in base 12?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Suppose -p*z = j + 7, 0*j = 2*z + j + 1. What is the units digit of (2\/z)\/(1\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 7*p**2 - 7*p - 4. Let n be v(-6). Suppose 5*i = n - 12. Calculate the remainder when 146 is divided by 47 - (i + 1 - 1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90668.09 millilitres to litres.\nAnswer: 90.66809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*a**2 - 2*a + 124 + 23*a**3 - 144*a**2 - a**3 - 126 to m + h*a**2 + i*a + u*a**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/7 + 2696*t\/7 - 18529 = 0.\nAnswer: 49, 2647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6853 (base 9) in base 11?\nAnswer: 389a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 6)*(-14185*s**4 + 14185*s**4 + 25*s**5).\nAnswer: 25*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1104 = -4*p, -29*v + 24*v - 4*p + 2732 = 0. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34157 is divided by 674?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/(-728) - (-30)\/(-65)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.1. Let r = -0.4 - m. What is the third biggest value in r, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101211210 - -201?\nAnswer: -200101211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 70. Let q = u + -53. Solve -4 = -q*y + m, 0*m + 12 = y + 5*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6766 and 7.\nAnswer: 47362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 - 10*v - 17*v - 17*v + 42*v - v**4 to r*v**3 + k*v**2 + c + s*v**4 + d*v and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from xclccccccclovlclcvc.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 34*h**2 - 2*h + 13. Let d(s) = 65*s**2 - 5*s + 24. Give 4*d(p) - 10*n(p).\nAnswer: -80*p**2 - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 20 = -p + 7, -5*p + 15 = d. Suppose -5*l - m - m = -36, -3*l + 5*m = -34. Suppose -3*f + 5*f = -k - 4, f + l = k. Solve 5 = d*u - k*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-2 - (0 + -8)). Let v(r) = -r**3 - 8*r**2 + 12*r - 5. Let q be v(-9). Let u be (-2 - q\/(-12)) + 4. Is y smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13 + 628*y + 645*y + 3*y**2 - 1285*y. Let u(m) = -m**2. Let i(v) = t(v) + 4*u(v). What is i(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 94*m**3 - 2*m**2 + 60*m**3 + 3*m**2.\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000381944204 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14384)\/(-806) + (-2)\/13*-1. Solve -j = 83*s - 77*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 50\/9 (b) -4 (c) -8.3 (d) 5\/6 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 6*j**2 - 7*j + 5. Let g be q(-7). Suppose 3*p - 8 = 4*o + 4, -g*o - 15 = 0. Suppose p*t + 183 = 3*t. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001101011011 (base 2) to base 4\nAnswer: -1031123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**5 - 81*r**4 - 1146*r**3 + 8100*r**2 - 5400*r = 0. Calculate r.\nAnswer: -10, 0, 3\/4, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 5*h**2 - 8*h - 3. Let c be 0 + -1 + 0 + 6. Let t be (-64)\/(-10) + 3\/c. Is y(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 81*j + 59. What is the units digit of v(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 441*b**4*k - 6*b**2*k**2 + 2*b**2*q - 2*b*q + 2*b - 2208*k**2*q wrt b?\nAnswer: 5292*b**2*k - 12*k**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(729) + (sqrt(5) + (sqrt(30)\/sqrt(6) - sqrt(5)))*-4.\nAnswer: -35*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 98928 to the nearest one thousand.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(459) - sqrt(459)*-2)*-4)\/sqrt(9))\/(sqrt(12)*-5 + (sqrt(45)\/sqrt(3))\/sqrt(5))*-5.\nAnswer: -20*sqrt(17)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 28. Suppose r = 5*b - 2*b + 11, -2*r = 5*b. Suppose -2*k - 18 = 3*i - 7*i, -r*i + 25 = 0. Sort k, 2, y in decreasing order.\nAnswer: y, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 10. Let r be s(-10). Suppose -d + 22 = -r*d. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - 611\/(-65). Differentiate -34 + 10 - a*p**3 - p**3 - 7*p**3 with respect to p.\nAnswer: -51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 382.9774 weeks?\nAnswer: 231624731.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34255 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 234\/7 < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Suppose 0 = -528*j + 527*j - 5. Put -2, w, j in increasing order.\nAnswer: j, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*a = -36*a + 20*a + 1246. Solve 12*f = o + a*f + 2, -o = 3*f + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*g**2 - 172*g**2 - 90*g**2)*(4 + 879*g - 879*g - 8*g**2).\nAnswer: 1480*g**4 - 740*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 63?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:47 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*i + 7*i. Let b = 23 + i. Solve 5*r = -0 + b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/((g**(2\/3)\/g)\/g))**(17\/7)*g**0*g*g*g**6*g assuming g is positive.\nAnswer: g**(359\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/18130 and 107\/3430.\nAnswer: 126910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v + 4*r, -352*v = -357*v + 4*r + 2. Solve 0 = -u, 23*q = 21*q + v*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z + 20 = 0. Let f(t) be the third derivative of -641*t**4\/24 - 5*t**3\/6 - t**2. Let m be f(z). What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10912 divided by 248?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -0.424, -2.\nAnswer: -2, -0.424, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 + 6*v - 26. Does 3 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 2*v + 3. Let d(z) be the second derivative of -2*z**4\/3 + z**3\/2 + 3*z**2\/2 + 1516*z - 2. Determine 2*d(p) - 3*u(p).\nAnswer: 5*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*o + 106 = 0, 4*q - 2*o = 465 + 29. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(91) + -1*sqrt(91)))\/((sqrt(7) - 6*sqrt(175)) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 18*u + 29. What is k(-4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1855 and 8745.\nAnswer: 61215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be926 + 0?\nAnswer: -be926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -428268991 rounded to the nearest one hundred thousand?\nAnswer: -428300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1042 divided by -2\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162041, 324098, 486155, 648212?\nAnswer: 810269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5. Let c be n\/(-3)*(-1 - 0). Let a be 0 - (-3 + (-2)\/(-2)*-2). What is the smallest value in -3, a, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by -1457202.\nAnswer: -73\/1457202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - z - 71 - 43 = 3*d, 1660*d + 54 = -2*z + 1657*d for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-231) + (-784)\/(-1078).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18))**21\/((r*r**8)\/r**(-10)) assuming r is positive.\nAnswer: r**(-397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.5, -1\/6, -0.32, -0.4, -0.1, -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2591039 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1244214233 - -3441?\nAnswer: 1244223224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 750\/83)*(-38)\/(-57)?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42721*s - 42721*s - 700 + 2*s**2 + s**4 wrt s.\nAnswer: 4*s**3 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4038 + 198 = -476*c. Let m(p) = -2*p. Let g(j) = -3*j - 1. Let y(d) = -3*g(d) + 4*m(d). Determine y(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27306*l**2 - l - 123153.\nAnswer: 54612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*h + 21, 18 = -g + 4*h - 5*h. Let a(i) = 4*i - 3. Let n(x) = -12*x + 8. Determine g*a(k) - 6*n(k).\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = 0. Let m(l) = k*l + 0*l - l + 2*l + 1. Calculate the lowest common multiple of m(6) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 10904.\nAnswer: 54520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -6. Is 204\/18 + a\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from kkkrkkrkkkkkkrrkrr.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 23863 = 4631. Suppose -p = -4*l + y, 3*y + 465 + 1338 = 3*l. Suppose 11*v - 752 = l. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)*t*t**7)\/(t**(-4)\/t)**(3\/17))**(-28) assuming t is positive.\nAnswer: t**(-4109\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*g - 6. Solve 3*q - 5*p = 6, g*q + 5*p + 24 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = -4*r - 55, -30 = 2*y + r. Let s = 8 + y. Let g = 9 + s. Solve g*v + 6 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1304 - 2?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61893*r - 6*r**2 + 16 - 16 + 3*r**2.\nAnswer: -3*r**2 + 61893*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-4)\/4*-387. Suppose 14*t - 775 = o. Calculate the remainder when t is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6*(-10 - 0). Let q(z) = -17 - 3*z - 23 - 18 + 62. Calculate q(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70661 is divided by 406?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48573 is divided by 326.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24534088 and 17936.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, a: 5, p: 2, v: 2}. What is prob of picking 2 z and 1 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -698, -6050, -11492, -17066, -22814, -28778, -35000?\nAnswer: -41522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 156759427*r**4 - 161075329?\nAnswer: 627037708*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 15, y: 3}. Give prob of picking 1 p and 2 y.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(320) + 1 + 2) - 6*-3*1*sqrt(320))*-4*-3 + 3)**2.\nAnswer: -379008*sqrt(5) + 9051561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) -42\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -9 - (135 - 126) - (-17 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 12:04 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) - (-151)\/(-20)*4. Let l be 0 - ((-5)\/u + 50\/(-12)). What is the highest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z - 69*z + 16*z)*(-3*z - 9*z - 4*z + 2).\nAnswer: 1040*z**2 - 130*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/8, -1109, 0.2, -2\/19, 3\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h - 69. Let z be i(-12). Suppose -4*g + 5*t + 23 = -125, -104 = -z*g + 2*t. What is the remainder when 40 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**7)))\/(s\/(s*s**2))*(s*(((s*s\/s**(10\/9))\/s)\/s)\/s)\/s*s\/(s\/((s\/(s*(s*s\/((s\/(s*s\/(s*s**(-3))))\/s))\/s))\/s))*s*s assuming s is positive.\nAnswer: s**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20714235 rounded to the nearest ten thousand?\nAnswer: -20710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*d**3*o**5 + 13*d**3 + 4*d*o**2 + 3*d*o + 2*o**6 wrt o?\nAnswer: 3540*d**3*o**2 + 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 4383. Is q a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 891109661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 31*y**2 - 1. Let l be p(1). Let j be 108\/l + -2 + -1. Let g = 0.09 + 0.21. Which is the nearest to -2? (a) j (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 14) to base 10.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*i - 6092 = 0, o - 5*i - 3058 = -o. What is the remainder when o is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370712\/(-63444)*51\/(-2)?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(17\/4)*g\/(g\/g**(-2\/69)*g*g) assuming g is positive.\nAnswer: g**(613\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 35. Let h be 0 + 10 - (c + 6). Find the second derivative of h*s - 8*s + 5*s**3 + s wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0914 and -243017?\nAnswer: 243017.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18623 - 857105.\nAnswer: -875728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 793787 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943299 a multiple of 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 166. Let d = -47 - z. Let u = 4.1 - 0.1. What is the closest to d in -3, u, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*o**3 - 6 + 6)*(3 - 1 + 0)*(156 - 765 + 90) to w*o**2 + b*o + d*o**3 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*v - 12, 5*o - 3*v - 103 + 128 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k. Let h = 3 - -6. Let w(f) = h*f - 9*f - 3*f**2. What is w(i(n))?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -1354, -3045, -5412, -8455, -12174?\nAnswer: -16569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 315130037?\nAnswer: -315130037.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 + (-2899)\/91)\/(1*2\/(-14)). Solve -5*u + 18 = a for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (8 - 8 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 3. Is -16 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 28 = -g - 4*l, -5*g + 4*l = 1. Suppose -4*k + 4*y = -636, 2*k = -g*y + 217 + 116. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(252)*2*-1 - 6*sqrt(252)*-2) + 1)**2.\nAnswer: 360*sqrt(7) + 25209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m + 9. Let u(f) = f. Suppose -5*v + 51 = 46. Let i(h) = v*z(h) + 3*u(h). What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.217 rounded to 2 decimal places?\nAnswer: 2.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20232112 + -2?\nAnswer: 20232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -17. Let t be (0 - (0 - -2)) + 66\/(-6). Let p = t + j. What is the lowest common multiple of p and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2850, -3654, -4464, -5286, -6126?\n\"Answer: -b**3 + 3*b**2 - 806*b - 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/35)\/(6\/10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -55.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*c + 426, 2*c + 3*y = 41 + 383. Suppose -4*k + 300 = -5*m - k, -4*k = 3*m + c. What is the tens digit of (m\/14)\/((-1)\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 51\/4 of a millisecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2 + 69*z - 534. What is h(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = -4*l, -2*l - 2*x + 2 + 2 = 0. Let h(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 - w + 4. What is the units digit of h(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = 3*x, 4*o + 3*x + 18 = 8*o. Suppose p + 5 = u - 2*p, 5*p = -o*u + 57. Calculate the remainder when 23 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*f - 864*f + 1722*f - 87.\nAnswer: -4*f - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4804.699 and -0.4.\nAnswer: -1921.8796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b - 4*b**2 + 2*b**2 + 5*b**2.\nAnswer: 3*b**2 - 32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8013.306l in millilitres?\nAnswer: 8013306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*b - 24831 = -2997*b + 8289 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 8. Suppose 0*j = j + s - 1, 0 = 3*j + 4*s. Suppose 3*w + 2*w - 40 = 4*f, j*w + 5*f = -9. List the prime factors of a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112578.7 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + r - 3234 = 21841, 5*p + r = 41795. Is 88 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143675*b - 23346.\nAnswer: 143675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.9 - 2. Let z = -171\/2 - -87. Suppose -7 = 2*u + 3. Which is the closest to -1? (a) w (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - 4*o - 2. Let c = -4990 - -4985. Let n(l) be the first derivative of -2*l**3 + 5*l**2\/2 + 3*l - 1. Calculate c*d(a) - 4*n(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55449663?\nAnswer: 3, 367, 50363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/365 + -1837\/2190. Let m = 0.205 + -0.205. Let d = -230 - -225. Which is the closest to 2\/7? (a) m (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17*u + 1. Give t(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (112\/21)\/(-8) + 4\/6. Suppose -5*j - 145 + 1105 = n. Let w = 641\/3 - j. Find the common denominator of w and -45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**7\/630 + q**6\/180 + q**5\/15 - 7*q**4\/4 - 15*q. Let f(t) be the third derivative of x(t). Factor f(a).\nAnswer: -4*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1584 and 636075?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34819.13 - -470.13. Let s = m - -34349.239995. Let g = -0.24 + s. What is g rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/4*(-10160)\/150 - 1. Let n = -103 - w. What is the smallest value in n, 2, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 192 = 3*a - 96, 4*j = -a + 80. Let h(w) = w**3 - 11*w**2 + 22*w - 18. Let t be h(8). Let q = a + t. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/6 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*f**2 - 85*f**2 + 35*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97047222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -7.4. Let p = h - -2.4. Sort p, -2\/9, 5\/4 in increasing order.\nAnswer: -2\/9, 5\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004147 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*((z**(-23)*z)\/z)\/z))**(-27))**(-7))**(-27))**38 assuming z is positive.\nAnswer: z**(-4653936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*z - 18, 3*z = 16 - 1. What is the lowest common multiple of g and (-16)\/6*18\/(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -12.8. Let w = -12.0000093 + h. Round w to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*(-2)\/(-6))\/((-2)\/8). Let i(z) = z**2 - 5. What are the prime factors of i(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 0)*(-5)\/(-2). Suppose 2*q + 255 = 3*h - q, -n*q + 358 = 4*h. Find the common denominator of (-1)\/20*h - -3 and -85\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 533736046 is divided by 5305.\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -10. Let r be 220\/o*3\/30*4. Let l = r - 8. Solve 5*b + 15 = -5*d + l*b, -d - 20 = -3*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-1.2\nAnswer: 57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*x + 54*x + 46*x - 533*x + 4*x.\nAnswer: -270*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:52 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 135, 234, 371, 558, 807, 1130?\n\"Answer: 2*y**3 + y**2 + 56*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -0.9. Which is bigger: 13 or a?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -140*s + 254. What is the smallest common multiple of 18 and m(-7)?\nAnswer: 11106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**6\/420 - l**5\/70 + l**4\/28 - l**3\/21 - 5*l**2\/2 + 4*l. Let p(t) be the first derivative of s(t). Solve p(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - q - 25 = 0, -q + 58 = 4*t + 13. Solve -t*c + 9*c = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -174.\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, x: 1, m: 1}. Give prob of picking 1 e and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/5 - 4652*c + 13525690 = 0. Calculate c.\nAnswer: 5815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 3*w**2 - 3*w. Let g(q) = -q**3 - 5*q**2 - 5*q. Let v = 332 + -335. Give v*g(s) + 5*l(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8))**30 assuming k is positive.\nAnswer: k**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k**2 - 139*k + 28574.\nAnswer: 22*k - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 - 26 = 0. Let y = o + 20. What is the highest common factor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + (sqrt(1008) + 0)**2 + -5 + 3 + (sqrt(567) + 1 - sqrt(567)).\nAnswer: 12*sqrt(7) + 1007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -427304876 - -0.02\nAnswer: -427304875.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 194888735 equal to 194888735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6864, -27415, -61658, -109593, -171220, -246539, -335550?\nAnswer: -438253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-19401)\/(-9765) - 2\/5. Let a = f + -13\/21. Let g(q) = q**3 + 16*q**2 + 15*q. Let v be g(-15). Are a and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l**2 + 2. Let d be j(4). Suppose d*v + 2*v = 128. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1223 (base 5) to base 15\nAnswer: -c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345710 and 2534?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40073 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-30) + (-24)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2. Let c be (-2)\/(-6) - 5\/(-3). Let l(v) = -7*v**2 + c*v**2 + v**2 + 0*v**2. Determine u(l(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -488 + 863. Calculate the highest common divisor of 30 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/228 and 11\/770830.\nAnswer: 4624980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 8*q + 26*q - 72622 = 0. What are the prime factors of q?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y - 9 = -m, 4*m - 3*y - 29 = 0. Let a = -6 + m. Let j(k) = 12*k**2 + 3*k - 1. Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -912255 equal to -912257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*c - 547 - 15564, 5*u = -c + 80555. Let n = u - 278. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (19 + (9 - 22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {r: 1, o: 3, v: 2, w: 10, z: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*(b*b*b**(-1))\/b*b)\/b*b*b)**(-2\/7)\/(((b\/b**(-6))\/b)\/b**(-5))*(b**(-6)*b**10)**(-11\/6) assuming b is positive.\nAnswer: b**(-415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6444733037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:45 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21146951, -21146875, -21146755, -21146597, -21146407, -21146191, -21145955, -21145705?\n\"Answer: -o**3 + 28*o**2 - o - 21146977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - b = -5, 1 = -20*y + 19*y + 2*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x - 5. Let a = 8 + -13. Let c(y) = -2*y + 3. Suppose 2*d - 14*u + 2 = -10*u, 5*d + 13 = 2*u. Give a*c(t) + d*s(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3636.4323 to zero dps.\nAnswer: 3636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 6. Suppose z*w - 7*w = 116. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129 and 6759?\nAnswer: -871911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -36, -73, -128, -207, -316, -461?\n\"Answer: -r**3 - 18*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:29 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-1)\/3*2). Let r(z) = -2 + 9 + 3*z + 0*z. Let f(y) = -3*y - 8. Let a(d) = -3*f(d) - 4*r(d). What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 35*q**2 + 3*q - 36. Let k = 106 - 111. Let o(u) = 69*u**2 + 5*u - 73. Let a(s) = k*c(s) + 3*o(s). Find the first derivative of a(g) wrt g.\nAnswer: 64*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 + h**3\/3 - 26*h. Let o be f(2). Factor -12\/5*v**2 + o - 4\/5*v**3 - 8\/5*v.\nAnswer: -4*v*(v + 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + -55. Let t be (-2)\/4*2*-71. Let d = b - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 414*p - 3. Let m(o) = 14*o - 2. Determine m(g(a)).\nAnswer: 5796*a - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 814563047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 29778*m. Let c(v) = 2*v. Give c(l(k)).\nAnswer: 59556*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-1 - 0)\/(-1). Let a(j) = -4*j - 2. Let w be a(-11). Suppose 3*r = l*r - w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 + 18. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + 1689. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 23*n**2 - 2*n - 6*n**2 in the form h*n + w + r*n**2 and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 13*f**2 + 6*f - 57. Calculate y(-15).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z + 2*z**5 - 10*z + (-5*z**2 - 11*z + 11*z)*(z**3 - 1 + 1) + (-2*z**3 + 2*z**3 + 5*z**4)*(-9*z - 2*z + 3*z).\nAnswer: -43*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -111112\nAnswer: 127\/111112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + d**4 - d**4)*(2 - 3 + 3 + (1 + 2 - 2)*(3 - 1 - 4) + 1 + 0 + 1 + 13 + 0 - 3).\nAnswer: 24*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2942618 or -2942625?\nAnswer: -2942625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 124140022443?\nAnswer: 124140022434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 4) to base 8\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f. Let p be g(-1). Let c = p + -7. Suppose c - 48 = -5*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21021312 (base 4) to base 14\nAnswer: -d942","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 23\/(-69) + 109775\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {z: 4, c: 2, a: 1, i: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjg. What is prob of sequence gj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -155 + 155.0052. Let o = r + -0.4632. What is o rounded to 2 decimal places?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:46 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 66*x = 65*x + 5, 2*x + 6 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -3*h**2 - 7. Is d(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-6))\/(2\/(-8)). Let y = 10 + g. Solve -3*j - 5 = -4*p, -y*p + 2*j = -2*j - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 f when three letters picked without replacement from {f: 2, p: 1, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/9)\/2)\/((-220)\/990).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1226 + 1244. Sort -8, p, 0, 3.\nAnswer: -8, 0, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -812355*i**4 - 176503?\nAnswer: -3249420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002528 rounded to four decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494195, 494177, 494157, 494135, 494111, 494085, 494057?\nAnswer: 494027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-52)*10\/3. Suppose 5*c = -3*y + 40, -u*y - 2*c = -c - 30. Solve y*g + s - 2 - 23 = 0, 5*s = -2*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2033 (c) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*r + 23*r + 62. Suppose -r*k = -33*k - 152. Let h = -234 - -158. Are h and k equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5183, -14 in ascending order.\nAnswer: -5183, -14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 11*d = 34. Let f = 18 + d. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q**2 - 11*q - 13. List the prime factors of k(-6).\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 4*n**2 + 3*n**2 + 6*n**2)*(-3 - 3*n + 3) + 10*n - 1507*n**3 - 11*n + 1720*n**3.\nAnswer: 195*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/108689 and -2\/543445?\nAnswer: 543445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15814197 by 3.\nAnswer: -5271399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -3*a**5\/20 + a**3 - 3*a**2 - 6. Let q(h) be the second derivative of b(h). Differentiate q(p) with respect to p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37755 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295073739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-339)\/(-3) - -1) + 3. Suppose -109 = -n + a. Let b = n + -131. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q - 1. Let n = 142 + -96. Let i = n + -34. Let y be 1\/(2\/8 + (-15)\/i). Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1958, 3937, 5938, 7973, 10054, 12193, 14402, 16693?\nAnswer: 19078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -1 - (1 + -1). Suppose -53*z - 124 = -84*z. Solve -z*n + 1 = -c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6328 - -10949. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 2380*o**3 + 12004*o**2 - 2380*o - 12000 = 0 for o.\nAnswer: -5, -1, 1, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 4, 156 in increasing order.\nAnswer: -2, 4, 7, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, -5*f - 6 = 4*i + 1. Let t(l) = 11*l - 3*l**2 - 2*l**2 - 14*l + 4*l**2. What is t(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1823\/9 or 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 26 = 34. Let n be s\/(-5)*(-20)\/8. Does 9 divide ((-6)\/n)\/((-1)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 117177 = 516058. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1920814 divided by -2\nAnswer: 960407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from vkkkvsvk?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29962367 to the power of 1\/2, to the nearest integer?\nAnswer: 5474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 3*w - 2*w)*(-100*w + 101*w + 5*w**3 - 38*w**3) in the form k + h*w + i*w**2 + r*w**4 + j*w**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjxvtm. Give prob of sequence jd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + 4*(-36)\/27. Sort p, -2, 3 in ascending order.\nAnswer: p, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21925 minus 338192?\nAnswer: -316267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45899 and 1162?\nAnswer: 91798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - w + 1141, o + w + 4544 = 5*o. Suppose -1103 = -4*m + v, -3*v - o = -5*m + 247. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1997030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and 40\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1296320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10 - 1060\/25. Suppose -185 = 5*x + 125. Let l = v - x. Calculate the highest common divisor of 38 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 8*q**2 + 3*q**3 - 3*q**3 - 6*q**2 + 2*q**4 to j + x*q + u*q**3 + o*q**4 + s*q**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -29. Suppose -4 = -r + c. Let u = 74 - 34. What is the highest common divisor of r and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + v - 1. Let s be x(3). Suppose -s = -5*p - 0. Let n(k) = -k**2 + 4*k + 1. Determine n(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -10204*t - 2398230. What is x(-235)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*r + 4 = 0, -4*v + 2*r + 12 = 4. Let s be 2 + (369\/3 - v). Calculate the highest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**2 + 16*v - 50*v + 19*v + 15*v.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 9)\/((-7)\/26). Solve -6 = 28*w - f*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, 0, 3, 2 in ascending order.\nAnswer: -1, 0, 2, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 507*o**2 + 2. Let c(x) = -5*x**2. Give a(c(f)).\nAnswer: 12675*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -17.9. Which is the second biggest value? (a) -0.5 (b) 3\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -435, -227, 119, 603, 1225, 1985, 2883?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-70*12\/((-288)\/4))\/((-3)\/(9\/(-1)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -186, -192?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*g - 2112 = 903*g. Let u = -1093\/28 + 155\/4. Let r = -0.2 - 0. Which is the smallest value? (a) u (b) g (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-6))\/41*702\/13?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13943 + 13421 = -58*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -57404402 - 12?\nAnswer: -57404414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.091 (b) 241 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3081 by 16631.\nAnswer: 3081\/16631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5\/3. Let d = 0.36 + -0.86. What is the third biggest value in d, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1671130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - v**3\/6 - v**2. Let n be o(-5). Suppose n - 34 = 5*g. Sort -4, g, 1 in increasing order.\nAnswer: g, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 - 577 = 4*n. Let h = n + 81. Let c be (h\/(-154))\/((-6)\/(-4)). Sort 16, 4, c in descending order.\nAnswer: 16, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278191, 278197, 278203, 278209?\nAnswer: 278215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (15\/(-10))\/((-9)\/(-4)). Factor 0*j**2 + 2\/3*j**3 - o*j**4 + 0 + 0*j.\nAnswer: -2*j**3*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 3\/62 (c) -2 (d) -31 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/27)*z\/(z**2*z))\/(z**(-3\/8)*z*(z**5\/z*z*z)\/z) assuming z is positive.\nAnswer: z**(-1231\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.67 + 0.67. Sort 5, 5\/4, z.\nAnswer: z, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143709.167 rounded to the nearest one hundred?\nAnswer: 1143700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-2))\/(-2*(-2)\/(-2)). Let a be (o - 4) + (-567)\/(-135). Solve 2\/5 - a*y**3 + 1\/5*y - 2\/5*y**2 = 0 for y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 + -129. Calculate the remainder when 145 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 + 4 - 11 + 409*v**2.\nAnswer: 409*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*m. Let k be ((m\/1)\/1)\/(-1). Solve -1 = p - 2*q + 2, k = 3*p - 2*q - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -42. Is 9 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6221, 5, 1, -5 in ascending order.\nAnswer: -6221, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(1100) + 1)**2 + -1 + sqrt(1100)*2.\nAnswer: 140*sqrt(11) + 6606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153572, 308326, 463080, 617834, 772588?\nAnswer: 927342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 5*g - 41, 33 - 10 = -2*z + 3*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 5*n - 2. Let r be v(-2). Let s(h) = -r*h + 2 + 0*h + 0. List the prime factors of s(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 11:21 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuma when four letters picked without replacement from {u: 2, v: 2, c: 2, w: 2, m: 2, a: 10}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 10 = 2*k. Suppose 5*q = p - 6, -k*q = -4*p + 29 + 31. Suppose -5*b + p = -b. What is the least common multiple of 18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492023.9 kilometers in nanometers?\nAnswer: 492023900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15791829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 72 + 4. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - 68 - (-1 - -16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13032001223 - -3?\nAnswer: -13032001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 + 0*z**2 - z**2 + 10*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w + 5. Let i be x(2). Let l be i + 1 - (-2 + -1). Put -4, -1, l in ascending order.\nAnswer: -4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c950 (base 14) in base 15?\nAnswer: 230e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26434131 and -4.\nAnswer: 105736524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 3, q: 5, d: 1, h: 1, v: 1, n: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.7869 + 12.71. What is k rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 669, 664, 657, 648?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 3:01 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1 - 4) + (-6 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 45*q - 11. Let u be w(23). Suppose -45*j + u*j**2 + 15*j + 14*j**2 + 5*j**2 + 4 - 5*j**2 = 0. Calculate j.\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 - 130*c**2 + 325*c + 460 = 0.\nAnswer: -1, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 90. Calculate the remainder when z is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(102) + -2*sqrt(102))*6 + sqrt(102))\/(sqrt(6) + (2*sqrt(12))\/sqrt(2)) - (-2*sqrt(3400))\/sqrt(800)).\nAnswer: -2*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*f**4*n**2 + f**4 + 2*f**2*n**2 - 64*f**2*n - f*n**2 wrt f.\nAnswer: -408*f*n**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -304 and -0.16327.\nAnswer: -304.16327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23458003 is divided by 1935.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 10. Let l be h(5). Suppose r = -y + 9, -l*y = -2*r + 3*r - 13. Let o be (2 - 6)*(-1)\/2. What is the greatest common factor of o and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*a - a - 6073250, 0 = 4*a - 5*w + 8097655. Let v = -1125585 + a. Round v to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 46*o + 279. Let y be s(-6). Suppose 0 = -3*a + 4*f - f + 78, 3*f - 60 = -3*a. Solve 4*z - y*n + 9 + a = 0, -2*n = 4*z + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 10*t**2 - 5*t + 3. Let d(z) = -10*z**2 + 4*z - 2. Let f(b) = 4*d(b) + 3*i(b). Determine f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - -2) + -12 + 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**5 + 0*w**4 + 0 + 0*w**3 + 9\/2*w**2 - 30*w - 19\/30*w**6. Differentiate j(l) with respect to l.\nAnswer: -76*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 - 8.1. Let u = -1.4 - -4.4. Let d = u - 3.1. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.2 - 26. Let u = c - -34. Let m = 4.1999938 + u. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 43 + 13)*(10*a - 90 + 88 + 5*a) to the form h + k*a and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*z = 2*t + 225, 3*t - 222 = -5*z. What is the remainder when 310 is divided by t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9157*h**3 - 229*h - 55564377 with respect to h.\nAnswer: 27471*h**2 - 229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -0.053, -826?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1100))**2 - (2*sqrt(11) + -4)) + -1 + (sqrt(11) - sqrt(44)\/sqrt(4)*-2)**2 + (2*(sqrt(11) + 1 - sqrt(11) - sqrt(11)))**2.\nAnswer: 10*sqrt(11) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/2*2\/(-3). Let i = -42 + 296\/7. Let h = 8\/21 + i. Which is the biggest value? (a) -1\/3 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1300) + -4 - 5*-3*sqrt(1300) - 5*((sqrt(1300) + -4*sqrt(1300) - sqrt(1300)) + -5 + sqrt(1300))*4)**2.\nAnswer: 139840*sqrt(13) + 7517264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36007163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 - 30 = 29*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*(5 + 1 + sqrt(1377)) + -1)*-4.\nAnswer: -72*sqrt(17) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-8)\/(-2)*(-3)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*d**2 - 160*d + 1 + 5 - 292*d + 0 to v*d + u*d**2 + x and give v.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w**4\/3 + 177680*w**3\/3 - 284452*w**2 + 597392*w\/3 - 113792\/3 = 0.\nAnswer: -7112, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5560 + -3487. Let g = 2082.23 - i. What is g rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.312 - 0.512. Which is the second biggest value? (a) -0.9 (b) i (c) -2\/3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57613 (base 8) to base 5\nAnswer: -1240314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 6*h - 18. Let j be f(9). Suppose 137*v - j = 131*v. What is the remainder when v is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a*j + 7098*a - 536275*j - 925 with respect to j.\nAnswer: -15*a - 536275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 7*g**6\/30 - 2942*g**5\/15 + 51590*g**4 - 58800*g**3 - 11*g**2 - g + 33. Suppose z(m) = 0. Calculate m.\nAnswer: 2\/7, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*d = 0, 13*z - 5*d = 10*z + 7*z + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479977327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4614.\nAnswer: 2, 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**7)**32*t**7\/(t\/t**(-15\/4)) assuming t is positive.\nAnswer: t**(1033\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/12 + 2 - (-23)\/51. What is the third smallest value in 4, 0.2, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*l*p**2 + 29*f*p**2 - 6*f*p + 13*l**2*p - 5*l*p**2 - 3*p**2 wrt l.\nAnswer: 3*f*p**2 + 26*l*p - 5*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -11100300022?\nAnswer: 11100300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.1, -15, -1, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 31*i**2 - 95*i + 71. Give d(-33).\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114750 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -375220 (base 9) to base 3\nAnswer: -102112020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3 + -1 - 2. Suppose -2*v = -8*l + u*l + 230, 0 = 3*l + v - 149. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 3, a: 3}. What is prob of sequence mra?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + p + 2, 5*p = h - 1 - 1. Let s = 11 - 12. Put s, 0, h in ascending order.\nAnswer: s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 562 divide 192571763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22638 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1877157 and 5967?\nAnswer: 73209123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 54827 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34298, -34300, -34302, -34304, -34306?\nAnswer: -34308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17706235 divided by -3541247.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -1, 4*p = 2*y + 8. Solve 6*x - 8*x - 9*x = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = -3*i + 31, 4*i + 3*s - 27 = 0. Let x be i\/783*(-6)\/(-4). Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 243576927 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/748*((-9)\/(-5) - 1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40872 and 936.\nAnswer: 122616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-10)\/3*-87. Suppose 2*w - 84 = -0*w - 4*r, 2*w + 3*r = 79. What is the greatest common factor of i and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(121))\/(sqrt(88)\/sqrt(2)) + 4)**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/3198 and 64\/662259.\nAnswer: 54305238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.5 (c) 0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = z, g + 11 - 14 = 3*z. Solve 11 = x - g*b, -7*b = 4*x - 4*b + 16 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1 - -1) + 8*(-63)\/(-168).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 8*b + 10. Suppose -l + b*l = 1. Let w(t) = 3*t**2 + 1. Let c be w(1). Put c, l, -1 in ascending order.\nAnswer: -1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 2*z**2 - 16 - 6*z**2 - 22 in the form d*z**2 + r + y*z and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**3 - 151*l**2 + 9729*l - 18827. Give b(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 3, 0 in increasing order.\nAnswer: -4, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1480 is divided by 114?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 6*a + 2. Let i be o(6). Let z be 0 + i - 4750554\/(-2). Let t = z + 1924721. Round t to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -260*l**3 - l**4 - 146*l - 3789*l**2 + 3787*l**2 - 107*l**3 wrt l?\nAnswer: -24*l - 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 0.5, 0.4, -4, -2, -6\/47?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaqaaaaaqa. Give prob of picking 3 a and 1 q.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2578344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/32*4*3\/(-90)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4762.71 hours?\nAnswer: 17145756000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54541, 109180, 163821, 218464, 273109, 327756, 382405?\n\"Answer: r**2 + 54636*r - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/54*1026)\/((-9)\/(-15))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*x - 524*x + 17952 = 602*x + 491*x for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1504 and 4946468?\nAnswer: 39571744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-2 + sqrt(27)*-2*6)**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by (-1285)\/(-75) + (-4)\/30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - d + 3. Let w(g) = -3*g**2 + 3. Let o(u) = -4*t(u) + 5*w(u). Let f be o(-4). Sort f, 4, 5 in ascending order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 5, c: 7}. Give prob of sequence bxb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*k + 34, -89 = -4*p + 4*k - 53. Let l(m) be the third derivative of -18*m**p + 0 + 0*m + 3*m**3 - 7\/12*m**4. Differentiate l(c) wrt c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + 3)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 141?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6760715737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86 in 2, -2\/3, -1\/3, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 + -139.6. Let l = -18.91 + 18.11. Which is the second smallest value? (a) -2\/17 (b) -1\/4 (c) w (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 540*i + 1584.\nAnswer: 4*(i - 132)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.7 - -15.6. Is 37\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/4290*-10)\/(3\/11).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2*h**3\/9 - 19*h**2\/3 - 56*h - 714. Let r(a) = 0. What is a?\nAnswer: -12, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3698 + 520 = -2*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -298 + 303. What is the second derivative of -152*j - 149*j - 11*j**4 - 11*j**g + 315*j + 2 wrt j?\nAnswer: -220*j**3 - 132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 + 1624*g - 164836 = 0. Calculate g.\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 4*w = 17486. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1013722 = -2*p + 1328278. Round p to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17262?\nAnswer: 2, 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-27) - (-16)\/6. Suppose -h = 4*i - 40, -3*i + 5*h + w = -27. Solve -i = 3*x + x - 5*l, l - 2 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -32) + -12 + 7 - 11 - (5 + -60)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/10 + (-8)\/(-60)*3. Factor 1\/2*c**5 + 0 - c**4 + c**2 + 0*c - n*c**3.\nAnswer: c**2*(c - 2)*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 51*k**2 + 35\/12*k**4 + 0 + 25\/3*k**3 + 0*k. What is the derivative of i(d) wrt d?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 1\/8, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + v**2)*(10*v**2 + 0*v**2 - 6*v**2) - v**4 - 4*v + 4*v.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/15 + 25216*y**3\/15 - 25228*y**2\/15 - 42032*y\/5 - 25218\/5 = 0?\nAnswer: -12609, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6487600 divided by 37072.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -120380 <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17121 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -285, -587, -889?\n\"Answer: -302*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2720247, -2720251, -2720257, -2720265?\nAnswer: -2720275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, -5, 1, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*k = 424, -3*k + 6*k = 2*m - 174. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3, 5\/163, 9, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*w = 1249 + 401. Sort 3, w, 1, 2\/9 in decreasing order.\nAnswer: w, 3, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m**2 + 7*m - 6. Suppose -7*f + 9*f = 14. Give z(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0932054 minutes to seconds.\nAnswer: 5.592324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 63*f - 260 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3690655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/10*n**3 - 3\/10 + 3\/10*n**2 + 1\/10*n.\nAnswer: -(n - 3)*(n - 1)*(n + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20787 is divided by 69.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 177655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/49128 and -23\/712.\nAnswer: 49128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b - b**3 + 2 - 3 + 2*b**2 + 4. Suppose 3*n - 10*j - 67 = -15*j, n + 51 = 5*j. Give o(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 232122.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19341*-0.1.\nAnswer: -0.019341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtzhhthttttttththh. Give prob of sequence tt.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 divided by 112?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 156 = 3*c - 193, -c = -f - 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-15)*(-5)\/2. Suppose -6*b = -s*b - j - 811, -5*j = 4*b - 817. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111011010 - 1001?\nAnswer: -1001111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y - 66 = -31*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnin when four letters picked without replacement from {i: 9, n: 7}.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxb when three letters picked without replacement from {b: 2, x: 3, r: 2, e: 6}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-244)\/16)\/((-3)\/(-48)). Let p = 184 + g. Solve p = 2*s - 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/63*4\/(-10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(225) - sqrt(225)) + sqrt(225))\/(sqrt(180)*-5 - sqrt(180)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -373 + 371. Let b(y) = y**3 + 14*y**2 - 15*y + 9. Let d be b(-15). Suppose -5*s + 6 = 3*t - d, -4*s = 3*t - 12. Put s, h, -8 in descending order.\nAnswer: s, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -37*v**2 - 1. Let t(a) = 9*a**2 - 7*a - 7. Let j(x) = -3*x**2 + 2*x + 2. Let i(p) = -7*j(p) - 2*t(p). Give f(i(l)).\nAnswer: -333*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12*m = 0. Suppose -3*j + 2*i - 87 = m, -3*j = i - 6*i + 78. Is -31 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1470?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = -190. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547193141 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26\/(-39))\/(2\/183). Let l = 185\/3 + b. What is the biggest value in 2\/7, 2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157387142*q**4 - 213774180*q.\nAnswer: 1888645704*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40667 is divided by 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4502*k**3 - 4557*k**3 + 8667*k**3)*(-2*k + k - 2*k)*(-1 - 1 + 0).\nAnswer: -2352*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*a - 2*a. Let j = -2 - a. Let q = 0.44 + -0.04. Sort j, q, 2.\nAnswer: j, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**2 + 39*k**2 - 1 + 205*k - 13*k**2 - 206*k - 124*k**2.\nAnswer: -141*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 = 5*x - 0*p, -3*p = -5*x + 7. Let a = 7 - x. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100100 - -1101?\nAnswer: 100100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4849517 to the nearest integer?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/3 and 71\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k - 38 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 54257605 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356017018 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4645915, 4645914, 4645913, 4645912, 4645911, 4645910?\n\"Answer: -a + 4645916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - 2*y)*(5*y**3 + 0*y**3 - 3*y**3) + (-8*y**3 + 9*y**3 - 3*y**3)*(y + 2*y - 4*y) + (0 - 2 + 3)*(-4*y - 2*y**4 + 4*y).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 11*u - 5*u**2 + 42*u**3 + 18*u**3 - 13*u**3.\nAnswer: 47*u**3 + 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 29810.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + 3*k - 4*k)*(-1 - 1 + 3) - 2*k - 2 + 2 - 5 + 5 - 2*k + 20*k - 17*k - 10*k - k + 2*k + k in the form z + m*k and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8176 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807.918812ns in weeks?\nAnswer: 0.00000000000298928375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920 is divided by 113.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j)**(2\/9) assuming j is positive.\nAnswer: j**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3136)\/126*(-9)\/2. Suppose 39 = 3*f - 3. Calculate the highest common factor of g and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4 - 3. Let w be (s\/(-5))\/(12\/15). Is 1 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12\/5 + 94\/35. Does -84\/19 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2745318, -3, -5, 2 in descending order.\nAnswer: 2, -1, -3, -5, -2745318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 1190.\nAnswer: 13090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*418\/352*12\/228.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 200*u**3 + 6 + 4 - 67*u**3 - 1 - 11 - 2*u**2 to the form f*u**3 + r + q*u**2 + h*u and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -248, -502, -756, -1010, -1264?\n\"Answer: -254*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -29*s - 71. Give h(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -26374\nAnswer: -7912.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95306 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383.236 kilograms in tonnes?\nAnswer: 4.383236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - g**2 + 6*g - 5 - 2*g**2. Let a be c(-7). Solve 3*h = -5*p + a, 0*h + 12 = 4*p + 5*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1210888, 1210895, 1210904, 1210915?\n\"Answer: u**2 + 4*u + 1210883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1617 and 34881?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let y = 4 - u. Suppose 4*w = 2*w + y. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o - 0*o. Let s = -6 + o. Solve -2*j + s = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -935*z - 927. Determine k(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3486 and 31623?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -747166 divided by -581.\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l - 146. What is t(13)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-54)\/(-21) + -1. Let m(b) = -2 - b - 5 + 3 + 3. Let s be m(-2). Is q bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.3*-0.01\nAnswer: -0.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 4*c + 17 = 0, 12*c = 3*a + 9*c - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7705, -8, 5.\nAnswer: -7705, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3)*(-5 - 8 - 2)*(-324*u - 349*u + 533*u) as f*u + a and give f.\nAnswer: 6300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*d - 30, 4*p - 5*p = 3*d - 18. Let w = 2 + -12. Let s be 30\/75 - 86\/w. Solve p*u - u - 3*b - 7 = 0, -4*u + s = -5*b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2152\/183 + -26\/61. Let c = a + -12. Let q be (8\/(-36))\/((-2)\/6). What is the biggest value in q, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, -3, 27?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**3 - 7*d + 2. Let r(t) = 6*t**3 + 7*t - 3. Let k(c) = -6*r(c) - 5*z(c). Let l be k(-4). Suppose -2*b = -6*b + l. Solve n = 6*n + b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59720 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 97206?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + l - 372 = 85, 0 = 4*l + 20. Suppose 1081 = 5*o - 2*x + u, -5*x - 5 = 0. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497236471 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1330, -2661, -3992, -5323, -6654?\nAnswer: -7985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2, 4*b + 2*w - 8 - 8 = 0. Let o(p) = 7*p**2 - 3*p + 5. Let k(s) = -s**2 + s - 1. Let n = 0 + 1. What is b*k(a) + n*o(a)?\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + (2 - 3))*3. Let r(o) = o - 32. Let q be r(35). What is the third derivative of -40*c**2 + 31*c**2 - 6*c**q + 0*c**f wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**7\/105 - a**6\/75 + a**5\/50 + a**4\/30 + 3*a + 35. Factor s(q).\nAnswer: -2*q**2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160477?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986998 is divided by 4339.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120\/17 - -490\/51. Suppose 5*w + 253 = 4*p, 0 = 5*w - 6*p + p + 255. What is the common denominator of a and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9763245, -19526488, -29289729, -39052968, -48816205, -58579440, -68342673?\nAnswer: -78105904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -936.723 and -61706?\nAnswer: 60769.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 2*y - 4*y - 12*y**2. Let a(i) be the third derivative of -13*i**5\/60 + 3*i**2 + 305*i. Calculate x(a(u)).\nAnswer: -2028*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2310*d - 2330*d + 4651*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 - -0.01?\nAnswer: -684.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -722, -721, -718, -713, -706, -697?\n\"Answer: v**2 - 2*v - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -215\/3*d**2 - 169\/6 + 23\/6*d**4 - 47\/3*d**3 - 1\/6*d**5 - 481\/6*d.\nAnswer: -(d - 13)**2*(d + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1759, 1743, 1733, 1729, 1731?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134\/3 - 44. Which is the nearest to g? (a) 2\/15 (b) 5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 907603 = 3*g + 2*v, 5*g - 1512721 = -4*v. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-7732867.\nAnswer: -386643.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94616*n**4 - 399*n**3 + 7*n**2 + 5927967*n - 1?\nAnswer: 2270784*n - 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-2310)\/286)*5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + (-4 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7619326?\nAnswer: 2, 11, 13, 26641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (378\/(-84))\/(-1 + (-1)\/(-4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18\/7)\/q**(3\/8))**(-16\/7) assuming q is positive.\nAnswer: q**(330\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3318*n - 30. Let x be (-13 - -12)*(0\/(-2) - 15). Let c be h(x). Round c to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 45. Let c be (-3)\/(-20 - 1) - (-140)\/49. What is the greatest common divisor of t and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42421 by 1182.\nAnswer: 42421\/1182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 1778, 2668, 3558?\nAnswer: 4448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/60*-3*7\/(-21)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*5 + ((1*sqrt(104) - sqrt(104)) + sqrt(104))*5)\/((sqrt(72) + (sqrt(72)*2 + sqrt(72))*1 + sqrt(72))*-6).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1777 - 31373 = -16*m + m. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7065143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttttgtgtgtgttgtt.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318606.15 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*i + 14*i + 20 = 23*i, -4*i + 16 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.018 - -6. Let d = 0.01800021 + s. What is d rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 0. Let f be m\/(-2) + 45\/5. Let q = 46 + f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/12 - 2*n - 19601. Let k = 4 + -9. Let t(c) = -c + 5. Let s(x) = -x - 1. Let l(m) = k*s(m) - t(m). Determine l(f(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + 3. Suppose -v - 2*q - 7 = 0, q + 34 = 3*v - 4*q. Let a be b(v). Let g = 0 - a. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h + 1. Let a(p) = 1. Let k(z) = -z - 1. Let w(l) = a(l) + k(l). Let y(s) = t(s) - 3*w(s). What is the units digit of y(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(204)*1 + sqrt(204))*3)\/(sqrt(60)\/sqrt(5)*-4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 8*c. Let b be m(-7). Let i = -7 + b. Suppose 3*f - 2*f - 20 = i. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 5*c**2 - 5*c + 1. Let a be (4 + (-342)\/99)\/((-12)\/(-88)). Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1887732?\nAnswer: 2, 3, 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let k(j) = -j**2 + 5*j + 3. Calculate the least common multiple of k(0) and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(240)*1)\/(sqrt(256)\/sqrt(4) + sqrt(4)))\/(2*sqrt(768)*-6*-6).\nAnswer: sqrt(5)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 166464266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-84)*(-18)\/10)\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)*f**(-2\/15))\/(f**3\/(f*f**(-2\/7))))**4 assuming f is positive.\nAnswer: f**(-1268\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 52274650*d - 52274506*d - 164 - 417. Give f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Is 170\/f*20\/(-25) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 229047 = 0. Let b = h + 90953. Suppose 4*f = -0*f - b. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220 - -219.9. Which is smaller: c or -0.034?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:22 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(((-15)\/((-780)\/(-26)))\/23).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.243 in 5, -0.1, 7\/3, -199\/7, -4\/7, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 221\/112350 and -21\/400.\nAnswer: 898800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 23. Let c be g(-14). Suppose -c*x + 5605 = -0*n + 4*n, 5600 = 5*x + 3*n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 84 = 3*c. Suppose -3*n + c = -80. Let t be n\/(-10)*(-10)\/4. Solve t*r - 4*r + 5*s + 10 = 0, -4*s = -3*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5649 + -0.572174. What is q rounded to four dps?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202021002121 (base 3) to base 2\nAnswer: 1100001010111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6387038*q. Let x(g) = -2823*g. Give -5*h(j) + 11312*x(j).\nAnswer: 1414*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584)*-2 + -3.\nAnswer: -24*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, w: 5}. What is prob of picking 2 w?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1610 = 276908*n - 276838*n for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 825143068 divided by -107078?\nAnswer: -7706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1673*p + 5124. Give z(-3).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 7:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -490 by 35.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -35631000 to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2056 - 0.03\nAnswer: -2056.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 - 20 = 0. Let n(m) = 2*m**3 + 4*m**2 - 6*m - 6. Let c(p) = 3*p**3 + 9*p**2 - 12*p - 11. Let y(f) = 3*c(f) - 5*n(f). Determine y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -41. Suppose -5*q = -4*o + v, -4*q + 75 = 5*o - 0*q. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((581\/(-2))\/(-7))\/(10\/80) is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-68)\/(-8))\/((-5)\/(-70))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5748430875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 3203280?\nAnswer: 41642640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(-1 - (-20)\/(-12)). Find the second derivative of -19*i**2 - 13*i**2 - 22*i**5 + v*i**2 + 14*i wrt i.\nAnswer: -440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2 - 139*d - 1056?\nAnswer: 4*d - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m. Let n(w) be the first derivative of -53*w**5\/120 - 9*w**3 - 3*w - 120. Let k(i) be the third derivative of n(i). What is k(q(f))?\nAnswer: 265*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111874, -111866, -111846, -111808, -111746?\n\"Answer: f**3 + f - 111876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - b + 31, 4*l - 29 = -5*b + 14. Let a = l - 5. Suppose 3*n - 161 = -4*r - 28, -3*r + a*n + 87 = 0. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171960 divided by 5?\nAnswer: 34392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -347 + 501. Suppose -5*h + 192 = 3*a, 4*h - 2*a - l = -4*a. Calculate the remainder when h is divided by (-1 + -1)\/((-2)\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*v - 2490 = 202*v + 10*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364790063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261896 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19560170 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -704.47 and -69325?\nAnswer: 68620.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96141.88 millilitres?\nAnswer: 96.14188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9570596771.8 - 9570595487.80001007. Let v = -1284 + y. Round v to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11) + -10 + 7 - (-25 + 5 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 6)*(7*i - 58*i - 4*i)*(-55 + 55 - 10*i) in the form n + f*i**2 + j*i and give f.\nAnswer: -4400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.43 - 0.57. Sort n, -1\/5, -254.\nAnswer: -254, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31578709.2 to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from mmmmcmmmmmmmcmmmmmm.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 468 + -467.9767. Round d to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - 38. Let d be 1 + 7 + -1 + y + 3. Let s(h) = h**3 - 10*h**2 + h + 19. Is s(d) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**3 + 0 + 4\/3*j**5 + 32\/3*j**4 + 100\/3*j - 160\/3*j**2 = 0. What is j?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/99 and 37\/264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*2)\/sqrt(9))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 42040*j + 1261190. What is z(-30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y**2 - 9*y + 16. What is k(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 6*u**4 + 0*u - 172 + 20\/3*u**3 + 4\/5*u**5 - 24*u**2. Solve t(q) = 0 for q.\nAnswer: -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -377, -567, -757?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 282*k**3 + 9*k**2 - 24219*k - 274881490 wrt k?\nAnswer: 846*k**2 + 18*k - 24219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 434 - 364. Calculate the highest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(294) + sqrt(294))\/(sqrt(300) - sqrt(300)*3).\nAnswer: 7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*m + 0 + 2*m**3 + 6 - 8 + (43*m - 6 + 6)*(8*m**2 - m**2 + m**2).\nAnswer: 346*m**3 - 14*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 987 times 22.7\nAnswer: 22404.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -69.7, 11, 9, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f**2 - 5*f + 18193. Let c(j) = 5*j**2 - 2*j + 9097. Let w(d) = -7*c(d) + 3*r(d). Let g be w(0). Round g to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.644 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -91\/113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 513\/10 - 16559\/230. Which is smaller: i or -20?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002348 rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -103?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 284392723?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 4*a + 52, -14580*a = -5*x - 14592*a - 190 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 651 + 646 = -7*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 940*r**2\/3 - 5726*r\/3 + 6664\/3.\nAnswer: 2*(r - 476)*(r - 1)*(r + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - l**2 - 2*l. Let f be q(-2). Suppose -3*x - j - f = -0*j, 4*x + 20 = -j. What is the units digit of -3 + 39 + 4 + x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 966331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15156 by 235.\nAnswer: -15156\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6a + d6?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 25 = -4*s + 47, 5*i = s - 22. Suppose -6*v + 3*v - 3*m + 21 = 0, 0 = 5*v + 2*m - 35. Let q = s - v. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/433 + -1551\/59321. Suppose 4*r - 93 = -25. Let t be r - 20 - (-8)\/2. Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**0*(y\/y**0)**5 assuming y is positive.\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f - 16 = 0. Let x be -1 + (2431\/(-195))\/(-11) + 2\/(-6). Sort f, 4\/5, 1\/4, x in increasing order.\nAnswer: f, x, 1\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398250309 divided by 398250309?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 70329. Suppose r - 2443 = 2*q. What is q rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:46 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4763014 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -11\/6*k**4 + 1\/40*k**6 - k + 0 + 14\/3*k**3 - 52*k**2 + 0*k**5. Differentiate y(c) with respect to c.\nAnswer: 9*c**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 53*d + 37. Determine h(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 969*a*p**5 - 3*a*p**4 + 8*a*p**2 + 351*p**2 wrt p?\nAnswer: 58140*a*p**2 - 72*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z + 8*z + 198*z**3.\nAnswer: 198*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.816 + -6.815109. What is c rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746 - 2233 - 2*c + 744 + 743.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {r: 5, y: 13}.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -727247?\nAnswer: 727257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = 8278*d - 8289*d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 11:30 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2 + 2)*(3*c + 0 + 0) - 4*c - 3*c**2 + 4*c - 2*c**2 - c**2 + 2*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 510. Let p(d) = -39*d**2. Determine q(p(o)).\nAnswer: -39*o**2 + 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/1342 (b) 3.5 (c) -2 (d) -0.0253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5 - 1.602. What is v rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*m**3 - 208 with respect to m.\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415829.9l to millilitres.\nAnswer: 415829900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 - 56 + 56)*(11 - 4 + 5 - 1).\nAnswer: 110*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - 7 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**2 + g + 1. Let r be y(-1). Suppose v - 3*b = r, 5*v + 7*b + 5 = 3*b. Suppose -20 = -w + h, w = -2*h - v*h - 10. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 59785?\nAnswer: -59786.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*q + 544, 4*q - 732 = 4*d + 356. Let v = q + -60. Suppose -v = -5*j - 2*p, 4 = -2*j + 2*p + 100. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 19 + 3. What is the remainder when 18\/6 - (-17 + 0\/(-1)) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14352 and 19500?\nAnswer: 1794000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h. Let r(i) = 3126883*i**2. What is u(r(a))?\nAnswer: -18761298*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/8*(-8)\/130 + -3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/14 + 27\/(-14). Let a(q) = -2*q**3 + 21*q**2 + 11*q + 1. Let w be a(11). What is the biggest value in z, -2\/9, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/120)\/(6\/8*5\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 356253.0499 to the nearest 1000.\nAnswer: 356000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -891 + 8.4?\nAnswer: -882.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/15, 5\/2, -46, 1\/4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15081*p - 14983*p - 3423 = 1967 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5218 - 4?\nAnswer: 5214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -567489*o**2 - 8256*o - 16 wrt o?\nAnswer: -1134978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83\/21 - 76\/21. Suppose -4*p + 8 = -28. Let q be p\/(-6)*2\/(-6). Which is the nearest to q? (a) u (b) 0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/(2\/6). Suppose 128 = j*y + 4*i - 48, -2*y - i = -83. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/2 + (-320)\/(-8). Let k be 142\/x + (-7 - 16\/(-4)). Which is the fourth biggest value? (a) 2\/9 (b) 1 (c) k (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 14 + 6, 2*x = 2*c + 14. Suppose 5*u - 125 = -z + 2*z, 2*u + x*z - 77 = 0. Calculate the remainder when 49 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 19698 = 298*b + 89*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2066?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14464?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 12 = 0, -104423*z + 104425*z + 24 = -2*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*a - 2 - 11 - 13 to p + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11790)\/210 + 17 + (-333)\/21.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -138, -213, -274?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*y + 11. Suppose 3*c + 20 = 5*v, 22 + 22 = -y*c - 2*v. Let q(n) = 6*n**2. Let m(s) = s**2. Determine c*m(d) + 2*q(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42618, -170453, -383510, -681789, -1065290, -1534013?\n\"Answer: -42611*v**2 - 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 23. Let x be 2\/((-27)\/(-12) - m). Let t(r) = -r**3 + 6*r**2 + 21*r - 10. Does 10 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 94*z**2 + 1. Let b be u(-1). Suppose -4*w = -a - 5*w, 0 = 4*a - 2*w - 24. Suppose a*f = -5*o + 155, -5*f - b = 2*o - 4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**2*v*w**3 + 34*r**2*v*w - 9*r**2*v - 9220*r*v*w**3 + 4*r*v*w + 3*r + 3*v wrt w?\nAnswer: -18*r**2*v*w - 55320*r*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2255\/234 - 126\/13. Let y = a - -67\/18. Let g = 1594 - 4826\/3. Calculate the common denominator of g and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-5 + (-6*(sqrt(132) - -2*sqrt(132)))\/(sqrt(768)\/sqrt(4)))**2 + -2) + -4 + 5.\nAnswer: 180*sqrt(11) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -142, -643, -1478, -2647?\n\"Answer: -167*a**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 1. Let l(z) = 3*z + 14. Let n(o) = 4*a(o) - l(o). Let j be n(0). Let s = j - -37. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130.7 - -128. Let l = c + 2.7000084. Round l to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1331) + sqrt(1331))*5 - (2*sqrt(1331)*2 + sqrt(1331)).\nAnswer: 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101148764 and -9.\nAnswer: -910338876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4395940?\nAnswer: 4395940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330131, -660151, -990175, -1320203, -1650235, -1980271?\nAnswer: -2310311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*z**6 + 3*z**2 + 2*z**6 - 9*z**2 + 5*z**6 - 4*z**3 wrt z.\nAnswer: 840*z**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-60) - 1*14\/(-28)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 45, 45, 41, 33, 21, 5?\n\"Answer: -2*g**2 + 10*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 24. What is the units digit of (-1)\/i - 1928\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8492424*g**5 + 4701678*g wrt g?\nAnswer: 169848480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**10*y**(-1)*y**(1\/47) assuming y is positive.\nAnswer: y**(-46\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaonefnc. Give prob of picking 1 a and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4086031?\nAnswer: 4086031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -359418 divided by -119806\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k*k\/(k\/(k*k\/(k*k**1)*k*k))))*k*k)**(-2\/23)*(k**(-1\/3))**(2\/113) assuming k is positive.\nAnswer: k**(-4114\/7797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 10*c + 74. Give x(13).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 301211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 60*r**4 + 13*r**2 - 2*r**3 - 4*r**2 - 9*r**2 wrt r.\nAnswer: 240*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (201 + 204 + 131*g - 404 - 29*g)*(26*g**2 - 19*g**2 + 9*g**2).\nAnswer: 1632*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16485?\nAnswer: 3, 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*z - 10921 = 1197*z + 37799 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34227 and 2061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23.69, 4, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 6*s + 43. Let n be t(12). What is the highest common divisor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/180 + k**5\/20 + 13*k**4\/72 + k**3\/3 + k**2\/3 + 7*k. Factor y(n).\nAnswer: (n + 1)**2*(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Let k = n + 16. Suppose -2*u + k = 2. What is the remainder when 12 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91081816 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 17 = -2. Suppose -126 + 26 = 2*l. Let x = l + 54. Which is smaller: x or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1185, 2113, 7503, 14979, 24535?\nAnswer: 36165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-74.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2 - 7. Suppose 0 = -g*q - 4*o - 31, -3*o = -4*q + 2*o. Is q\/(-1)*(-6)\/(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4162 (base 7) in base 15?\nAnswer: -67a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 8*x**2 + 10*x + 1. Suppose -2*b + 11 = -b. Suppose -47 + b = -4*w. Let i be v(w). Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/92 + (-4754)\/(-4). Is t\/9 - (-18)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:14 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 22 - 30*t + 0*t**3 + 0*t**4 + 0*t**2 + 27\/5*t**5. Find the first derivative of h(z) wrt z.\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:01 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -19 - 32. Let m = y + -38. What is the units digit of m\/(((-30)\/4)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278 * 0.06.\nAnswer: -16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 (base 12) in base 5?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*u + 94 - 94 to w*u + a and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 932161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/4)\/((-10)\/8). Let y = -223.8 - -221.8. Which is the third biggest value? (a) y (b) g (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 7. Let n(v) = 26504 - 2*v - 26512 + 3*v. Suppose 4*i - 10 - 6 = 0. Calculate i*n(c) + 5*g(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*g*q**3 + 3*g*q**2 - g*q + 7*q**3 + 8*q + 10 wrt q.\nAnswer: 54*g + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.4 times -0.5?\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135133301 (base 6) to base 5.\nAnswer: 1201441000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 547*f**3 + 39*f**2 + 90*f + 7. Is l(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k + 5*k = 0. Suppose k = -3*j + 5*j - 8. Let m(y) = y - 12. Let d be m(j). Let u(q) = -q**3 - 7*q**2 + 6*q - 8. Give u(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -205993, -823795, -1853407, -3294829, -5148061?\n\"Answer: -205905*i**2 - 87*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02 and 10096.3732.\nAnswer: 10096.3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 19761\nAnswer: -2\/19761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0.7. Let s = f + -1. Let t be (-256)\/(-96)*(-3)\/14. Which is the second biggest value? (a) -4 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:47 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -55*u**4 - 3*u**3 + 3*u - 3. Let c(n) = 166*n**4 + 8*n**3 - 8*n + 11. Let m(f) = 3*c(f) + 8*r(f). What is the derivative of m(s) wrt s?\nAnswer: 232*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6*y + 4*y + 39, n - 4 = -5*y. Let f = 33 + n. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14633423 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.17, -23, -0.1 in decreasing order.\nAnswer: 0, -0.1, -0.17, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2321 = -6*s + 2357 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*o + 44, -5*b + 2*b = 5*o - 0*b + 134 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -353 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowfooowfoofw. Give prob of picking 3 f.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 5*z - 20, r - 4 = -108*z + 105*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -9*n**7\/7 - 3*n**3 + 15. What is the third derivative of j(d) wrt d?\nAnswer: -1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 971867?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 11*x + 18*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 - 5*p**2 - 3 as m*p + l*p**2 + z and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4241505 + 4241550.99958. Let p = 46.71 + -0.71. Let w = i - p. Round w to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -292, -1223, -2774, -4945, -7736?\n\"Answer: -310*y**2 - y + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 - -100. Solve -3*g = -2*w + w - v, g + 16 = -4*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16758121 + 7?\nAnswer: -16758117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33240, 34, -10?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.5. Let h = o - 0.4. Suppose -q + 5*u = 15, -2*q + u = -1 + 13. Which is the closest to -1\/3? (a) q (b) 3\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2. Let a(m) = -33*m**2 + 13*m + 3. Let o(s) = 32*s**2 - 17*s - 4. Let b(j) = 4*a(j) + 3*o(j). Determine h(b(w)).\nAnswer: -7776*w**4 + 432*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p - 69. Let m be l(-10). Suppose 5*k - 29 = -0*k - 4*u, 0 = -u + m. Solve -7 = -s - k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78368, 156942, 235516?\n\"Answer: 78574*x - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23322365 divided by 4664473?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*b**3 + 425*b**2 - 100*b**3 - 317*b**2 - 108*b**2 - 99*b**3.\nAnswer: -595*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + 38 + 7 + 6 + -7 + -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.13 and 3287.\nAnswer: 3283.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - 17*t**3\/6 + t**2 - 2*t. Let c be q(-17). Suppose -z + 6 = 2*v - c, -5*v = -4*z - 20. Solve 2*i - 6 = -z for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = w - 20, -5*w - 2*z + 128 = z. Let i be w\/5 - (-6)\/15. Let m = 9 - 5. Solve -i = -2*q + m*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - (7 + 5)) + (-1 - -1513) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.088967 - 0.088967. Let m = 83\/6 - 27\/2. Which is the smallest value? (a) -2 (b) m (c) -0.4 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + (-2*(0 + (sqrt(208) + (sqrt(208) + 2*sqrt(208))*-1)*6)*-6)**2).\nAnswer: 4313087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, p: 2, v: 1, t: 2}. Give prob of sequence tvt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*o - 34, 18 = b + 79338*o - 79342*o for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 223 - 97 = -31*d, -5*v = d + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-28))\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**3)**(1\/4))**(-19))**(-42) assuming w is positive.\nAnswer: w**(1197\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -255*z - 1043. Determine u(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - v - 12. Let f(d) = 14*d**2 + 2*d - 31. Let c(k) = -f(k) + 3*i(k). Let x(y) = 34*y**2 + 7*y + 7. What is -7*c(o) - 5*x(o)?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.096 + 0.321. Round r to 2 dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -44 + 4. Solve -b - j - f = 0, 2*j = 4*j + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751005.13 rounded to the nearest ten thousand?\nAnswer: 2750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 294.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13226268 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12875 - 12875 - 6*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 + 1)*(-2 - 2 + 7) + (3 - 2 - 2)*(-13 + 0 + 20))*(-4*w - 3 + 3).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*30\/45 + (-9 - 36\/(-5))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 8 - (2 - -1). List the prime factors of 59 + 1\/(2\/p).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**3 - 8*j**3 - 5*j**3)*((9 - 3 - 1)*(-j - j + j) + 3*j - 2*j + 2*j).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33239047 to the power of 1\/2, to the nearest integer?\nAnswer: 5765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-5802)\/(-1455) + -4)*-6. Round c to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1.19 (c) 15 (d) -0.1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(130)\/(sqrt(20)\/sqrt(2)) + -1) + -2.\nAnswer: -7 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*g + 10, 2*g - 5 = 4*x - g. Let f = -4.39 - -3.16. Let w = 6.23 + f. Which is the fourth biggest value? (a) -2 (b) 4 (c) x (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21 (b) -2 (c) -90574\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 5*n + 3*r, -2*n + 2*r = 2. Factor 4*v - 10*v**2 - 7*v**3 + 10*v**2 + 92*v**n - 89*v**4.\nAnswer: v*(v - 2)*(v - 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -148078?\nAnswer: 29615.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 2816449 + 2816449.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 + 19*o**2 - 15*o - 56. Give z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -6312884.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 12 + 86 = 0. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/5 + 8*w**4\/5 + 19*w**3\/5 + 12*w**2\/5.\nAnswer: w**2*(w + 1)*(w + 3)*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 114824*a*o - 347971*a wrt o.\nAnswer: 114824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.43 + 2.99. Let j = 2.71 + z. What is j rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u. Let l be u*(-3)\/(-6)*1. Let a(j) = -j - 12. What is a(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -555682, 1 in descending order.\nAnswer: 6, 1, -2, -555682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 5\/2*v**2 - 7 - v. Let x(q) = q. Give l(p) - 4*x(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 170914, 341833, 512752, 683671?\n\"Answer: 170919*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4 + 52\/16. Let u be (-1)\/(-4) + (r - 18\/8). Let v = 1.1 - 0.1. What is the biggest value in u, -4, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.08 (b) -1\/6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 80. Suppose 3*d = d + z. Suppose -2*u + 5*v = u - 21, -2*u + 4*v = -12. Solve -7*o = -4*o - 3*m + u, -3*m = 5*o + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2486*v**4 + 240*v**2 + 24*v + 10. Let u(o) = 3729*o**4 - 359*o**2 - 33*o - 14. Let j(d) = 7*i(d) + 5*u(d). Find the third derivative of j(g) wrt g.\nAnswer: 29832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 1. Let u(p) = -2*p - 2. Suppose 97*o + 278 = 472. What is o*u(v) + 6*r(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 7*z**2 + 5*z - 1. Let h be w(7). Let a = h - 19. Solve 2*q + a = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4*d - 5)*(d + 0*d - 2*d + (-4 + 3 + 3)*(4*d - 2*d - d)) + (-d - 3*d + 2*d)*(122 + 20*d - 122).\nAnswer: -36*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(189) - sqrt(210)\/(sqrt(10) - sqrt(40)))\/(1*sqrt(300)).\nAnswer: -11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 100, 310, 570, 868, 1192, 1530?\n\"Answer: -2*p**3 + 37*p**2 + 113*p - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 - 17*a**5*t - 2*a**3 - 56*a**2 - 2*t wrt a?\nAnswer: 240*a**3 - 1020*a**2*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892525 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 11612205549121049*k - 11612205549121048*k.\nAnswer: -3*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 105.922\nAnswer: -635.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyeeyeeye. What is prob of picking 3 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t. Let u(f) be the third derivative of -f**4\/6 + 29*f**2. Calculate u(c(i)).\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 48\/22 - 22\/(-121). Let n be 2 - c - 84881*(2 - 111). Let v = n - -1347968. What is v rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + i. Let p(w) = -8*w**2 + 16*w. Determine -p(x) + 16*v(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)\/(u*u**(-9\/8)))\/(u\/(u**(-2\/13)\/u))**(-10) assuming u is positive.\nAnswer: u**(11161\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 144?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Let b(a) = 9*a**2 - 5. Let z(u) = -4*u**2 + 3. Let p(h) = -2*b(h) - 5*z(h). Calculate p(i(t)).\nAnswer: 2*t**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*x = 164*x - 11*m + 57, -3 = x + 2*m for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - 0) - -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28520 by 19.\nAnswer: -28520\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52\/5 or -5.2256?\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*z + 19 = 0, 2*g - 3*g + 5*z - 21 = 0. Let d(p) = 5*p - 48. Let u be d(10). Sort g, -1, u, -2 in decreasing order.\nAnswer: g, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171207 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o - 40 = 0. Let z = 65131 + -65127. Calculate the highest common divisor of o and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.709 + -19.309. Let t = 15 - 17. Which is the closest to -0.2? (a) t (b) -0.5 (c) w (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.5, 1, -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 9 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5269079*i*x**3 + i*x**2 + 49*i + 9879*x**2 - 2*x wrt x?\nAnswer: 31614474*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -5. Let g = d + -11. Let h be -1*g\/(10\/(-4)). Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-4))\/((-11)\/44). Which is the third smallest value? (a) 0.1 (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Let n be 123 + l + (-1 - -4). Let o = -72 + n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 22*d + 22*d + 8*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*((-270)\/12 + 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23, -6, 23, 64, 117, 182, 259?\n\"Answer: 6*q**2 - q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 273780000 rounded to the nearest 1000000?\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-25)\/o)\/(o**(18\/7)\/o))\/(o**(-18))**(-15) assuming o is positive.\nAnswer: o**(-2083\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 35. Solve d = m*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 - 3*z**3\/2 - 37*z**2\/2 - 833*z. What is g(18)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14906 is divided by 126.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*t - 77, 3*w = -4*t + w + 58. Calculate the smallest common multiple of t and 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41066 + 7928 = 1578*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -271 + 1894\/7. Let s(o) = -o**3 + 12*o**2 - o + 12. Let m be s(12). What is the second biggest value in p, m, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/4*1*(-152)\/(-570)*5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26660088 divided by -1904292.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4983*l - 21. List the prime factors of i(-7).\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6797*i + 740879. What is o(-109)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3280 and 155\/3936.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -3400, -7456, -13082, -20278, -29044?\nAnswer: -39380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133531.\nAnswer: 67, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(-1*sqrt(7)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 9. Let c be k(-8). Let u(m) = 3*m - 1. Let s be u(-8). Let n = c + s. Calculate the remainder when 26 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939.\nAnswer: 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*u**3 + 8*a**3*u**2 - 50*a**2*u**3 + a**2 + a*u**3 wrt a?\nAnswer: 6*u**3 + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1542657 is divided by 771244.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 739414 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/19*(-15)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8253, -31737, -70437, -124353?\n\"Answer: -7608*j**2 - 660*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m - 5 = 0. Suppose -a = m*s - 5 - 32, 2*s = -2*a + 42. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-28)*(6\/51 + (-68929)\/238 + -8)?\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-56) + ((-7)\/(-8) - (-5)\/(-10)). Put 0, 3, -2, -102, b in descending order.\nAnswer: 3, b, 0, -2, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*x = -75*x + 18 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 12:41 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 13*o = -157*o + 370884. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10ad - 384?\nAnswer: d29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z**2 + 9*z**2 + 4*z**2 - 4*z**2 + 4*z**2 - z**2 + (0*z**2 - 3*z**2 + z**2)*(2 + 3 - 3) as n*z**2 + k*z + r and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -476*h**3 - 50*h**2 + 2*h + 1251. Let f(o) = -476*o**3 - 60*o**2 + 3*o + 1251. Let j(q) = -5*f(q) + 6*k(q). Differentiate j(l) wrt l.\nAnswer: -1428*l**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 25511?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 42. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/5 - 76*h\/5 - 237\/5 = 0.\nAnswer: -3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l - 12 = 0. Suppose -l = 4*c + 4, -5*c - 152 = -4*a. What is the highest common divisor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397745 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3968 and 20584.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let m(o) be the first derivative of 7*o**3\/3 - o - 66. Give d(m(k)).\nAnswer: -7*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 173*c**2 + 24*c**3 + 374*c**2 - 20 + c - 25*c - 185*c**2.\nAnswer: 4*(c - 1)*(c + 1)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*x - 57, 0*x + 4*x = 2*b + 28. Let o(r) = -r**2 + 6*r - 2. Let d be o(6). Calculate the lowest common multiple of 2 - (2\/(-1) + d) and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let l(k) = -6225*k - 7 + 3 - 6789*k + 4. Calculate l(p(a)).\nAnswer: -26028*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 7. Let z(h) = 3*h + 18*h**3 - 1 - 17*h**3 - 6*h + 2*h**2 + h. Determine z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l + 22. Let r = -853 + 261. What is the remainder when 10\/(-35) - r\/14 is divided by g(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqtt when four letters picked without replacement from vvjvtvyqvvvvjtvtqvtt.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2491 and 1965399?\nAnswer: 1965399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sbssbbubsbuss.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25004431\/16 - 1564110. Let n = c + 1332. Find the common denominator of -105\/44 and n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 44 = 4*z, 4*z - 8 = -3*f - 52. Let r(h) = h**3 + 12*h**2 + 9*h + 17. What is the units digit of r(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 24 = 2*w. Solve -y + w = 3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-561)\/(-1683)*-15*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 360? (a) -1.9 (b) -29 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of -2 + (-4)\/2 - -57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -75*f - 1. Let c be d(-1). Suppose -73*z - 3 = -c*z. Suppose -7*w + z*w = -160. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -905 and -238?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and 469\/35*2\/20.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -27. Solve 0 = -o*l + 5 - 30 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Solve w*l + 0 = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - 0.05. Which is the nearest to -1? (a) -5 (b) -1\/6 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/5 - 124*l**4\/5 + 268*l**3 + 23360*l**2 - 600378*l\/5 - 715716\/5 = 0.\nAnswer: -47, -1, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r + 8100 = 33*r. Let t = 1419 + r. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -370, -921, -1940, -3583, -6006, -9365, -13816?\nAnswer: -19515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4825, -3, 2\/5, -8, 0.16, -1\/9?\nAnswer: -4825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5677, -5824, -5955, -6064, -6145, -6192, -6199?\n\"Answer: f**3 + 2*f**2 - 160*f - 5520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -149*g - 107 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1872)*1*2 - 3*(1 + sqrt(156)\/sqrt(588)))**2.\nAnswer: 660*sqrt(13)\/7 + 354121\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 32.67. Let s = -0.33 - j. Let z = 12.9999932 - s. Round z to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-8))\/x**(1\/4)*((x\/(x*x**(-2\/17)*x))\/x)**0 assuming x is positive.\nAnswer: x**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2746023.\nAnswer: 4\/2746023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwnwwwwwnwwwwnw. Give prob of picking 3 w and 1 n.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*z + 3*n**2*z**3 - 122*n**2*z**2 - 275*n*z**3 wrt n?\nAnswer: -12*n*z + 6*z**3 - 244*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3229 - 3229.11608. What is k rounded to 3 decimal places?\nAnswer: -0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.9 - -3.7094. Round u to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29820 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let v = 76 - 27. Let o(z) = 11*z - 30*z + v*z. What is r(o(j))?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = 2*p, -5*o + 8 = -3*p - p. Let c be 32\/8 + 297 + o. Suppose -v = -2*s - c, -3*v + 927 = -0*s + 2*s. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7480.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 15.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 311474 and 164898?\nAnswer: 2803266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2. Let w(m) be the second derivative of m**6\/720 - m**4\/12 - m. Let a(c) be the third derivative of w(c). Determine p(a(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 15*r**2 + 16*r + 3. Let x be o(16). Suppose 4*y = 20, 1 - x = 3*s - y. Let h = 80 + -563\/7. Which is greater: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35728479 and 8?\nAnswer: -285827832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.132 + 24.2. Let h = 0.068 - p. Which is the biggest value? (a) h (b) 2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 24*g - 20. Let j be v(21). Let l = j + 932. Round l to the nearest 10.\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -224725 and -23?\nAnswer: 5168675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185643920.\nAnswer: 2, 5, 7, 11, 30137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 17*r**3 - 2*r - 1 - 4*r + 5*r**2 - 1 - 18*r**3. Let v be l(5). Let b be (-8)\/v + (-6)\/(-8). Sort 5, 3, b in decreasing order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12111 smaller than 6.976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 12) + 4 - (5 + -9 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/42*2\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (-22175)\/20)\/((-9)\/(-24)). Suppose 2*t - 4468 - i = -3*j, -11127 = -3*t - 3*j. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 108593.\nAnswer: 3257790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s - 5. Let m(f) = f - 2. Let d(i) = -3*i + 7. Let r be d(2). Let u(b) = r*z(b) - 3*m(b). Let p(x) = -x**2. Calculate p(u(g)).\nAnswer: -49*g**2 + 14*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 84?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let f(l) = l - q*l + 0*l - 5. Let p(y) = 75. Let a(n) = -56. Let w(g) = 4*a(g) + 3*p(g). Determine -f(o) - 3*w(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 3. Let z be i(-4). Let q = -0.7 + 0.4. What is the nearest to -2\/7 in z, 0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(50\/(-15))*-6)\/((-5)\/1)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -64, -131, -234, -379, -572, -819?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-800)*655 - (-1 + -7)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4566018666.\nAnswer: 2, 3, 11, 69182101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 + (-11)\/(-5). Let h be (1 - -2) + 2\/(-2). What is the second derivative of -u + h*u**x + 0*u**2 + u**2 + 3*u wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**40*w*w**(-8))\/(w**(-2\/27))**(2\/89) assuming w is positive.\nAnswer: w**(79303\/2403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.806 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**3 + 32 - 1 + 33*v**3 wrt v?\nAnswer: 93*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + 7*b + 6. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-9)\/(-2))\/((-318)\/(-1111304))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 4 = 8*k. Suppose -3*n - 13 = -73. Suppose k*c = -c + n. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + 3. Solve 4*c - 3 + x = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 406.809 + -407. Let l = u + -0.209. Which is the third smallest value? (a) l (b) 0.4 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13615\/17 + 801. Put 0.4, 3\/5, 0.03, o in descending order.\nAnswer: 3\/5, 0.4, o, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1119433 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/312 and 25\/9?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 11*a + 31*a - 12*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2300 - 2146. Let a = 112 + -68. Calculate the greatest common factor of a and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9534138 decades in millennia?\nAnswer: 0.009534138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -488411, -1953651, -4395717, -7814609, -12210327?\nAnswer: -17582871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 6, 0.06, 0.07, -32 in descending order.\nAnswer: 6, 0.07, 0.06, -0.38, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u + 5*u + 2*u**3 + 3*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 17*t**2 - 15*t + 10. Is f(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6300)*-2 - (-1 + sqrt(63) + -3 - sqrt(63))**2 - (5 + (sqrt(56)*2)\/sqrt(8)*-2)**2.\nAnswer: -153 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -282*c**4 - 222*c - 8. Let x(v) = -188*v**4 - 148*v - 5. Let d(r) = 5*i(r) - 8*x(r). Find the second derivative of d(g) wrt g.\nAnswer: 1128*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a factor of 5714489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4\/4 + g**3\/3 + 33*g**2\/2 + 105. Let z(o) = -2*o. Calculate the lowest common multiple of y(6) and z(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 341*g**3 + 1011*g**2 - 1007*g + 335.\nAnswer: (g - 1)**3*(2*g - 335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 10*o + 12. Calculate the highest common factor of o and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 44675484, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5. Let o be (-4)\/2*(18 - (-14 - 1001\/(-22))). Put -3, j, o in decreasing order.\nAnswer: o, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (212\/(-2915))\/(35\/(5005\/234))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 4*p**2 + p + 2. Let a be 66\/15 + -4 - 242\/55. Give i(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 84 = 12*w, 0*s - 4*s - 98 + 112 = 2*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -331511\/36 - -9207. Suppose -5*q - 15 + 48 = -4*p, -5*q - 2*p + 51 = 0. Find the common denominator of b and q\/(-10) - (-6 + (-186)\/(-30)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -330*m + 332*m - 14, 3*u + 31 = -2*m for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 w when three letters picked without replacement from {v: 4, w: 1, u: 7, t: 2, h: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -452 - -476. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 3264.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 28. Find the common denominator of 69\/(44\/8 + b) and -39\/41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 91.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*t - 83*t - 192*b = -189*b - 13, 3*b = -5*t + 113 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u - 40. Let p(d) be the second derivative of -d**5\/20 + 7*d**4\/12 + 4*d**3\/3 + 3*d**2 + 14239*d. Determine p(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from tttm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00236021532 rounded to 6 decimal places?\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 20 = 20*u. Suppose -u*y + 32 = -28. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2577\/7 + 15469\/42. Put 3, 65\/6, l, -0.3, -2 in descending order.\nAnswer: 65\/6, 3, l, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/4 - 14519*s**2\/2 + 261415*s\/4 - 58094 = 0.\nAnswer: -29047, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 4. Let o = -1 + -5. What is the remainder when o\/(-8) - (-58)\/x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let s(b) = -10 + 26 - 16 - 16*b**2. Calculate x(s(f)).\nAnswer: -512*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (74 + -41 - 41)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3982, -45, 8, -1, 2, -2 in ascending order.\nAnswer: -45, -2, -1, 2, 5, 8, 3982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 4*d = -9*w + 637, -239*w + 237*w + 56 = -d - d for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c**3 + 4*c**2 - 76*c + 132. Determine v(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/3, -2\/17, -2.4, -7, 14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + -1 + 12 + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5 + 3*t - 7*t + 0*t + t. What is the tens digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w - 92. Let f = -129.477 + 129.1. Let l = -2.377 - f. Which is the second smallest value? (a) l (b) w (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.47 times 773.218\nAnswer: -4229.50246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 271 + 179. Calculate the greatest common factor of 50 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 202353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5488 - 5469. Let c(w) be the first derivative of 0*w - 13\/5*w**5 + 0*w**3 + 0*w**4 - 17\/2*w**2 + t. What is the second derivative of c(q) wrt q?\nAnswer: -156*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 divided by -105928?\nAnswer: 61\/13241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -61092 (base 10) to base 9\nAnswer: -102720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 926.2286 millimeters?\nAnswer: 0.0009262286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -18. List the prime factors of 4\/f - 1460\/(-30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6828.\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-5))\/(6\/150). Solve -5*w - 3*x - 29 = -4, 0 = -4*w + 4*x - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(176) + 5 + sqrt(55)\/(sqrt(5)*2).\nAnswer: 5 + 11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 6. Let g = -45 - -95. Let w(z) = 28 - g + 17. Determine -2*n(r) + 3*w(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -5, 5 in descending order.\nAnswer: 5, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.53 + 1.47. Which is the third biggest value? (a) s (b) 5 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*y = 11 - 29, 2*y = -5*h - 11. Let u(z) = -162*z**3 + z**2. Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlcjp. Give prob of picking 1 c and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 60acc5 (base 15) in base 2?\nAnswer: 10001100001010011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4217 - 84*a**2 + 4217)*(-5 + 3 - 2).\nAnswer: 336*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/((14\/(-42))\/(7\/(-6))). Let x = w + -91. Suppose -t = t + r - 15, 2*t - 11 = -5*r. Calculate the remainder when x is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 16. Let y be j(6). What is the derivative of 49*c - y + 361 + 14*c - 26*c wrt c?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - x = 4*x + 8, -2*x = -4*q + 24. Suppose -4*h = 10 - 34. Calculate the remainder when h is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**3 - 3*w**2 + 162*w - 160. Calculate j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 24. Let a be h\/5*(-60)\/(-2). Calculate the greatest common factor of 27 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5 + 16*l**5 + 18*l**2 - 4*l**5 wrt l.\nAnswer: 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**2. Suppose -4*c - 4*o - 14 = 6, 5 = -5*c - o. Let f(z) be the second derivative of 0*z**2 - 1\/3*z**3 + c + 12*z. Calculate f(x(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-8)*4*80\/(-700).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(5)*1)*-6 - sqrt(45)\/(sqrt(1089)*1)) + -1.\nAnswer: -19 - 67*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -27. Let t = m + 19. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139160*u**3*w**2 + 4*u**3*w - 2*u**2*w + 44*u**2 - 112*u*w**2 - 2*u*w - 2*w - 5031 wrt w.\nAnswer: -278320*u**3 - 224*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 10*g**2 - 24*g + 9. Let q be l(12). Let h(k) = -3*k**3 - k + 1. Let f be h(1). Let w = q + f. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-15)*(-3)\/(-2). Suppose 29 = -3*i + 5*k, -6 = -m*k + 10. Let g = -3.97 + -0.03. Sort g, 1, i in decreasing order.\nAnswer: 1, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-10)\/1)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q - 53. Determine d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-245)\/392*(0 + 1)\/5)\/1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74336 is divided by 451?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -10 + -8 + 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:43 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2371038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -12 (b) -61 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2944 and -65\/34454.\nAnswer: 2205056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**3 + 3*p - 2*p - 2 - 2*p - p**4 + (358 - 358 - 116*p**3)*(-3 - p + 3).\nAnswer: 115*p**4 - 2*p**3 - p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 7*d**2 + 3*d + 3. Let v(a) = -2*a - 1 + 4*a**2 + a**2 + 3*a**2 - 9*a**2 + a**3. Let b(z) = q(z) + 3*v(z). Determine b(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294 - 28975.67?\nAnswer: -28975.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-10 + (-195)\/(-26))*3\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593\/15 - (-2)\/15 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 11:49 AM and 7:43 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (117 - 87)*(-6)\/5*-1. Let y be (0 - -5)\/(60\/i). Solve z + 6 = y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 2\/19299, 65?\nAnswer: 2\/19299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.09, -24, 0.1, 1\/1631, -3 in descending order.\nAnswer: 5, 0.1, 1\/1631, -0.09, -3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r - 14*r**3 + 81 + 3*r**2 + 17*r + 27*r + 7 + 0*r**3.\nAnswer: -14*r**3 + 3*r**2 + r + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:05 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 736 = -l. What are the prime factors of ((-33)\/(-22))\/(6\/l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -1.7044.\nAnswer: 1.2956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 271856152 to the nearest one hundred thousand.\nAnswer: 271900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1133)\/(-3) - (7 + (-171)\/27)?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432 and 784?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 0 + 16*g**3 - 33*g**3.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:35 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 20*m. Let w(p) = -1. Give -o(h) - 10*w(h).\nAnswer: -20*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/4 or 3\/41?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387981 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 4 + 420*m**3 + 4*m - 4*m**2 - m**4 - 417*m**3 to the form b*m**2 + g + s*m + h*m**3 + c*m**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*w + 41, 2*g + 17*w + 26 = 7*w for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from {u: 3, s: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*v + 29 - 11, -5*a - 3*v = 2. Suppose -5*w + 5375 = -5*x, a*w = -2*x - 2*x + 2174. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 90. Do v and -57 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*c + 3*r, 5*r - 3*r + 14 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2628 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 224.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 674902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + 7?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-329)\/28 + 31\/52 + (-56)\/(-364)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 285*x**3 - 7*x**2 - 7*x. Let d(s) = 290*s**3 - 6*s**2 - 6*s. Give 6*d(c) - 5*v(c).\nAnswer: 315*c**3 - c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let a = 12 + -13. Determine k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955476973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b - 242 = 770. Put 2, b, -4, -2 in ascending order.\nAnswer: b, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/12 - -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*l - 41 + 41 + (l + 2*l - l)*(4 + 4 - 6) + 56*l - 129*l + 55*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1070, -2678, -4286, -5894, -7502?\nAnswer: -9110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-105)\/(-12))\/(4\/(-16)). Let b be (-13850)\/a + (-2)\/(-7). Suppose 0*x - 4*x - 4*v = -b, 188 = 2*x - 3*v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54fb (base 16) in base 9?\nAnswer: 32752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7522003 - 1?\nAnswer: -7522004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-20))\/(2\/(-40)). Let o be v\/(-1)*2\/5. Let a be (-9 + o)*(-2 + 1). What is the greatest common divisor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 14. Let o = k - 0. Let p = o + 6.7. Which is the closest to -0.2? (a) -2 (b) 1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1552, -12335, -41588, -98545, -192440, -332507, -527980, -788093?\n\"Answer: -1539*i**3 - i**2 - 7*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -73.548473?\nAnswer: 73.348473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.075 * 1.8.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 - 179. Let k = 80 - u. Let f = k + -2. Is f greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 3. Let t = -728 + 720. What is the second biggest value in t, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 113, 3, -2.\nAnswer: -2, 3, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -89*l + 435. What is y(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48, -46, -210, -450, -772, -1182, -1686, -2290?\n\"Answer: -a**3 - 29*a**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 583\/(-190) - -1 - -2. Let i be 3 - (0 + 1) - 450\/190. Let x = i - s. Sort x, -5, -1 in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*x = -3*g - 2, g = -5*x + 5. Solve -2*s - 2*s - 2*r + 6 = g, s - 3*r = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 7*d + 33 - 6 + 8*d**2. Is m(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p - 2*p. Let w(c) = c**2 + 2*c + 2. Let i be w(p). Solve 34 - 34 - 5*h**i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 999*l**2 + 7*l - 988*l**2 + l + 2 wrt l.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/4 + 21*t**3\/4 + 15*t**2\/4 - 21*t\/4 - 9\/2.\nAnswer: 3*(t - 1)*(t + 1)**2*(t + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 272322165 and -4?\nAnswer: 272322169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -11404?\nAnswer: -11403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 3:53 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + (-3 - -4))*-35. Let l be 2\/(-7) + (-30)\/q. Let v(c) = c - 3 + l - 1 + 1. Give v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3 - 126013514*i**2 - 227622194?\nAnswer: -3*i**2 - 252027028*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -651.41 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f - 47\/2*f**4 - 8 + 0*f**2 + 50\/3*f**3. What is the third derivative of d(o) wrt o?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 - 63?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7*i**2 - 10*i - 3. Let v(x) = -11*x**2 + 15*x + 5. Suppose 133*s + 23*s = -104*s + 2080. What is s*c(h) + 5*v(h)?\nAnswer: h**2 - 5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 + g - 24. Suppose 3*d = -3*h - 2*d + 43, 4*h - d = 42. Let p be r(h). What is the highest common divisor of p and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 2:24 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 2*v**2 + 5*v + 4. Let g be m(-3). Let z(c) = c**2 - 2. Let k be z(g). Suppose 851 = 3*x - k*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7655, -7618, -7581?\nAnswer: -7544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(270))\/sqrt(5))\/(2*(sqrt(243) + sqrt(243)*1)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 140?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 39*r**2 - 2*r. Let j be a(4). Suppose -6*b + j = b. Suppose -4*x - 2*z + b = 0, 4*z - 62 = -3*x - 1. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07031 rounded to three decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 18*x**4 + 486*x**3 - 1416*x**2 - 21483*x - 19602 = 0. What is x?\nAnswer: -9, -6, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 24*f**4 + 104*f**3 - 48*f**2 - 100*f + 72 = 0.\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 1. Let o = 6 + r. Suppose o = -h - 2*f, -5*h + f + 8 = -3*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcbry. What is prob of sequence rb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 3, e: 4}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = 11. Let g = 32 + t. Solve -g*p + 25 = -2*a, -2*p + 18 = 4*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/3*5\/(-5). Solve x = -5*i + 2*o - 19, -3*o = i + 2*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - -10 - 8 - (13 + -21)) + -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14377, 28742, 43099, 57448, 71789, 86122, 100447?\n\"Answer: -4*s**2 + 14377*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 11*d + 12. Let x be z(10). Let t = 8 + x. What is the greatest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -29.115.\nAnswer: -24.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 0*l + 11*l)*(423 + 2186 - 1386) + 5*l - l - 2*l.\nAnswer: 4894*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -170, -255, -340, -425, -510?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3, 1\/4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzzzgzggz. Give prob of sequence zz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1058646.4.\nAnswer: 1058651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 661576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -37, 3, 65, 155, 279, 443, 653, 915?\n\"Answer: o**3 + 5*o**2 + 18*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 155*d**2 - 391*d + 727. Calculate r(-80).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.031*2.11595.\nAnswer: 0.06559445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4090*w + 241600. Determine m(-59).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 817361*c - 291 - 817361*c + 3*c**4 + 2*c**4 + 2*c**2 - 2*c**2 + (-1 + 1 + 2*c**4)*(-5 + 4 - 1) as x*c**2 + q*c + z + h*c**3 + f*c**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 6 + 21)*(2*n**4 + n**4 - n**4) + 4*n**4 - 2*n**4 - n**4 + (-n**3 - 3*n + 3*n)*(2 - 2 + n) + 2 + 2*n**4 - 2.\nAnswer: -48*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-329)\/470 - 2679\/(-2970)) + ((-38)\/18 - -2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*y + 9 + 9, -2*y + 2*s + 12 = 0. Solve -4*a - 5*x + y*x + 30 = 0, -4*a + 4*x = -12 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8453 + -8438. Sort -4\/7, g, -0.3, 0.02 in descending order.\nAnswer: g, 0.02, -0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2*d**3\/3 + 3*d**2 + 4*d + 580. What is g(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.89 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273032 + 76562 = -52*p + 231750. List the prime factors of p.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*-3 - ((sqrt(882) - (sqrt(882) + sqrt(882) + sqrt(882) + 2*sqrt(882))) + sqrt(882)))\/((-1*sqrt(96)*2 - sqrt(96) - sqrt(96))*-6).\nAnswer: 3*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + b - 3. Let v be r(-4). Suppose -5*d + 2*d = -v. What is the lowest common multiple of 6 and d\/5 + (-4)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8043783ml?\nAnswer: 0.0008043783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 8*q**2 - q + 9. Let d be l(8). Is (-23)\/(-1) + 0 + d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 152, 382, 634, 908, 1204?\n\"Answer: 11*b**2 + 197*b - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -55. Solve 0 = -5*l - 3*x + 2, 14 = 4*l - 5*x + u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021 divided by 2524?\nAnswer: -2021\/2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**5\/20 - 20*b**2 - 2*b. Let g(q) = 5*q. Determine g(i(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276*c - 220*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2040 = 7*g - 9*g + 2*t, 4*g + 5*t - 4098 = 0. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/19 - 2388*h**2\/19 + 717570*h\/19 - 2832200\/19.\nAnswer: 2*(h - 595)**2*(h - 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 2*q**3 + 4 + 0*q**3.\nAnswer: 2*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 1213 = -5*d + 1287, -2*h + d = 34 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-2 + sqrt(130)\/sqrt(160) + -3.\nAnswer: -15*sqrt(13)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**4 - 6*l**3 + 6*l - 3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 19. Let n(d) be the third derivative of -d**4\/24 - d**3\/6 + 2*d**2. What is the units digit of n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*i + 8*i + 9*i - 2*i + i.\nAnswer: 146*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/111? (a) 1\/3 (b) 0.3 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -o + 3*g + 112, 0 = 4*o + 2*g - 426. Let q = 26 + o. Suppose 4*u - q = u. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 214*c**2 - 18*c - 38. Let q be z(-2). What is the greatest common factor of q and 244?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/130)\/((-9)\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6112581 centuries to decades.\nAnswer: 6.112581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -43867*k - 804. Is t(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/2)\/m*m)*m)**(-2\/15))**(-2\/79)\/((m*m*m*m**(-4)*m)\/(m**(10\/3)\/m))**(-3) assuming m is positive.\nAnswer: m**(-2763\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00998 to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941.65 rounded to the nearest 10?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + 31. Let s = -538\/5 + x. Which is the third biggest value? (a) 0.2 (b) -37\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4733 (base 10) in base 11?\nAnswer: -3613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 11*r - 2. Let i be g(8). Let d = 19 + i. Calculate the remainder when d is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 7*w**2 + 5*w + 10. Let c be k(8). Let n = -9 - c. Suppose -5*l - 7 = 3*s - 2*s, -s = 2*l - n. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v. Let k be (3 - (3 + -7 - -4)) + -2. Let z(d) = 2*d**3 - 2*d**2 + 3*d - 2. Determine k*z(t) + 2*a(t).\nAnswer: 2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*m - 2*m + m)*(-m**2 - 3*m**2 + 2*m**2).\nAnswer: -4*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -24*g**2 - 3*g + 48. Let a(b) = 20*b**2 + 2*b - 49. What is 3*a(z) + 2*m(z)?\nAnswer: 12*z**2 - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbhzshxxzxzzzxzxx. Give prob of picking 2 x and 1 z.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/51*3 - 1. Let a = -21\/34 + q. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*v - 9, 4*c - 9 = v + 2*v. Suppose -c*u + 4 = -2*g, -5*u + 3*g + 3 = -2*u. Solve 3*i + 30 = 5*x - u*i, -5*x + 3*i + 26 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 378.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 541 - 372. Suppose -y - c + n = -104, -2*y = -c - 555. Which is smaller: y or 277?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {k: 1, n: 1, u: 1, s: 2, o: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let u = 24 - 16. Let h = -4 + u. Let r(l) = -4*l + h*l - l. Give m(r(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 11*a**2 + 9*a - 5. Let g be u(-10). Let w be (-7)\/(-21)*3*3. Suppose 0 = g*p - 2 - w. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1) + 4 + -2. What is the biggest value in 0.2, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 676860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 4*l**2 - l - 2. Let a(u) = -3*u**3 + 8*u**2 + 2*u + 5. Calculate 2*a(s) + 5*w(s).\nAnswer: 4*s**3 - 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3*j - 3. Let r(z) = z**2 - z + 4. Let w(g) = -3*l(g) + 2*r(g). Calculate w(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 4\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 51875565?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 12*g + 14*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 157301896 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 3, r: 2, c: 1}. Give prob of sequence rd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:45 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211642257294 + n**3 + 5*n**2 - 5*n**2 + 3*n**3 - 211642257294.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009417 rounded to five decimal places?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*j - 10549 - 4227 = 852*j + 37056 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 47*o**3\/3 + 2*o**2 - 2*o + 72. What is the tens digit of f(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.1 + 5.6. Let d = m - -3.5. Which is the third smallest value? (a) d (b) 3 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 9*q = 18. Let v(c) = -2*c**2 + 15*c - 4. Calculate the remainder when 39 is divided by v(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4994, -4779, -4564, -4349?\n\"Answer: 215*g - 5209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6545 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 22*j**2 - 520*j - 41. What is n(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*g + 1934*g**3 - 17*g - 9*g**4 + 13 - 1931*g**3 to the form n*g + q*g**4 + k*g**3 + h*g**2 + a and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-24) - 3116\/969?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -190. Let p(l) = -1 - y*l + 7*l**2 + 172*l. Let k(r) = 8*r**2 - 2. Let g(n) = -5*k(n) + 6*p(n). What is the first derivative of g(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(36)*1) + (sqrt(7) - (sqrt(70)\/sqrt(5))\/sqrt(2))**2 + ((sqrt(112) - sqrt(7)) + -4)**2.\nAnswer: -47*sqrt(7)\/2 + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/132)\/11*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-222)*(-7 + 12 + 18\/(-4))\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**2 + 64*h*t**2 - 245*t**2 - 2 wrt h?\nAnswer: 6*h + 64*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133643 is divided by 33408.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 59739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4052722.\nAnswer: 2, 2026361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - 4*r + 3*r)*(-1 - 4 + 3 + (19 + 1 - 6)*(-2 + 1 + 0)) to x + h*r and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*i - 4*j + 16, 5*i = 5*j + 135. Let t be 2\/5 - (-8 + 42\/i). Solve -t*p = -9*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-11\/4)*y**(4\/9))\/(y**(1\/12)*y*y)**44 assuming y is positive.\nAnswer: y**(-3383\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-5\/3)*v\/(v*v\/(v\/((v**(-2\/141)*v)\/v))*v))\/(v**(-7))**(-5\/6) assuming v is positive.\nAnswer: v**(-1171\/282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 0.1. Let l = t + 3.3. Let m = -0.5 + 0.4. Which is the second smallest value? (a) l (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3049.9479 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 233 = 4*k + 185, -3*k = 4*c - 41. Solve c*r = 290 - 310 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/1937153 or 0?\nAnswer: 6\/1937153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -18, -0.5, -1, -8\/3, 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/(-5)*6\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.45 (c) 7 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.7 + -6.5. Let w = -22.2 + s. Let m be ((-12)\/(-9))\/4*1. Which is the nearest to m? (a) w (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 21 = g + b, -3*b = 9. Let w be g\/(-40) + (-3)\/12. Find s such that 0 - 1\/5*s + 0*s**2 + w*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14265 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 346403 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/8)\/(2772\/792)*(1260\/(-6))\/(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + -0.94. Let s = q - 0.3. Let b = 1.2000015 + s. What is b rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384675.10873 minus -940?\nAnswer: -383735.10873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {x: 2, m: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -455 - -183. Let p be (t\/(-12))\/((-2)\/(-15)). Suppose -4*b + 168 = -4*d, 3*b - 3*d = -b + p. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5571*v**3 + 126*v**2 - 126*v**2.\nAnswer: -5571*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Let b(t) be the first derivative of 5*t**2\/2 + 12. Determine b(v(w)).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25764 + 18488 - 23924 = 416*f for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11064, -22132, -33208, -44292, -55384, -66484, -77592?\nAnswer: -88708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**3 + 11 - 15 + 7.\nAnswer: -17*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14906*j**4 + 56*j**3 - 44*j**2 - 49442*j.\nAnswer: -357744*j + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32855 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 5:24 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/123651 and -52\/27?\nAnswer: 370953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19930 and 16715.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -1 - 7. Let g = 12 - k. Let u be (22\/(-8))\/(g\/(-16)). Solve -2*f - 13 = 5*p, 2*f - u = -0*f + 3*p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(sqrt(288) + -1))**2 - ((5 + sqrt(288) + -1 + sqrt(288))**2 - (-1 + sqrt(288) + 2)**2).\nAnswer: -3624*sqrt(2) + 40737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5383 - -17522. Does 61 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13 + 28)*(-5*k - 3*k + 2*k).\nAnswer: -252*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -20. Let p be (-2)\/(-7) + (-234)\/(-63). Suppose 6*c + 5*m + r = c, -5*m = p*c + 15. Put -4, c, 2 in descending order.\nAnswer: 2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13391\/6 or 2231?\nAnswer: 2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*c - 11 = 0, -28*t + 4*c = -23*t + 13 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/313797 and 24\/3870163.\nAnswer: 11610489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882) + 1 + sqrt(882) + sqrt(882) + 1)**2*-5 + -1.\nAnswer: -39711 - 1260*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-115)\/35 + 4\/14. Let k = -1969\/63 + 280\/9. What is the third smallest value in c, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 112847729 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 28. Sort 3\/5, -0.4, b in descending order.\nAnswer: b, 3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*((x*x*x*x\/(x**2*x*x))\/x)\/x*x)**(-15)\/(x\/x**6*x*x**1*x) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-715 + 508 + 395)*(0 - 2*x - 4 + 5)*(-3 + 3 + 2).\nAnswer: -752*x + 376","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-4 + ((-97)\/1)\/1). Let h = d + 115. Calculate the remainder when 65 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/36 - (-50)\/12. Let d(k) be the second derivative of 7*k**3\/6 - k**2 + 2*k. Is 13 a factor of d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.808 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s*s*s\/(s**(-5)*s))\/s*s*s\/(s**7*s))\/(s**1)**11)\/((s*s*s*s**(2\/7)*s*s**(2\/5))\/(s**(-6)\/s**(-2\/5))) assuming s is positive.\nAnswer: s**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218.4 - 41.4. Let i = o + -176.985. What is i rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m = -710 + 568. Let c(w) = 5*w**2 - 1. Let j be c(-1). Let r = -9 + 6. Put j, m, 3, r in descending order.\nAnswer: j, 3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjjffjffffffffffff. Give prob of sequence fff.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 8*f + 2\/3*f**3 + 0 + 0*f**2 + 1\/12*f**4. Factor n(d).\nAnswer: d*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b - 133. Determine l(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 275, 398?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**2 + 2160*m + 2105*m - 4265*m.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202101021112 (base 3) to base 13.\nAnswer: -11078c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71145 and 14916735?\nAnswer: 44750205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Let m(r) be the second derivative of -r**2\/2 + 27*r. Suppose -c + 0*c = -1. Let a be (c\/(-2))\/(5\/(-10)). Determine a*g(p) + m(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p. Let v(f) = -21*f. Calculate c(v(b)).\nAnswer: -84*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:58 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, k: 14, m: 1}. What is prob of sequence mp?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -11.3. Let m = w + -0.3. Let r = 73 + -70. Which is the nearest to -1\/2? (a) m (b) r (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811844689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**3 + u**2 - 3*u + 4. Let t be b(2). Suppose 2*k - 22 = -w, -2*k = -4*w + 18 + t. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 89*t**2 - 98*t - 870. Let a be b(-88). Calculate the highest common factor of 155 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*r - 12 = r, 4*h = 3*r + 16. Solve -h*m = -s - 12, -5*s - 24 = 4*m - 6*m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 2431970.\nAnswer: -4863940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 262*t - 1253. Determine s(10).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142977*t**4 + 23*t**2 - 160*t - 3 wrt t?\nAnswer: -3431448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*p + 30. Suppose -p = -2*n + 30. Let x be n\/21*(7 - 0). Solve -u - u = x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**6\/360 - j**5\/40 - j**4\/3 - 5*j. Let y(v) be the third derivative of f(v). Differentiate y(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - a + 28. Let x be j(0). Suppose -4*c = -4*p + x, 0*c + 31 = 4*p - c. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145 - -21?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 179297 divided by -13?\nAnswer: -179297\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 996 = 51*j - 54*j. Calculate the least common multiple of 11 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35040345 - -3?\nAnswer: 35040352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74bb73 (base 12) in base 3?\nAnswer: -10110202110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*j - 23 + 2 = 0, -5*r - 4*j = -42. Suppose 3*x + 0*x - r = 0. Factor 2\/9*v**3 + 0 + 2\/9*v - 4\/9*v**x.\nAnswer: 2*v*(v - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -506 = -7*a - 170. Suppose 0 = -2*p - 5*r + 20, -2*r - a = -2*p - 0*p. Calculate the highest common divisor of p and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 2 s when four letters picked without replacement from {s: 5, b: 3, k: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c**3 + 36*c**2 - 24*c + 4 = 0. What is c?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+10.736717\nAnswer: 10.636717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/9 + 2*u - 644\/9 = 0. Calculate u.\nAnswer: -23, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 0.4 (b) -13 (c) -4\/87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3952082708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -15.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 5*g**2 + 8*g - 32. Let s be z(5). Suppose 0 = s*a + 162 - 1210. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 763 + 5137?\nAnswer: 5900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m - 3. Let a be d(2). Suppose 14*c - a*c = 75. Let f(b) = 2*b**2 - 17*b + 22. Is f(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 57 = 4*b - 7, 3*y = 5*b + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 12) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16656, 33381, 50198, 67107, 84108?\n\"Answer: 46*k**2 + 16587*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Let o(i) = -i**3 - 9*i**2 - 13*i - 108. Let x be o(-9). Let l(t) be the first derivative of -x + 0*t**2 + 2\/3*t**3 + 0*t. Calculate u(l(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - -3) - 6 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002986242 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625229 is divided by 1017.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6012062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -18. Let m(g) = -2*g**2 - 19*g + 1. Let a(c) = c**2 + 10*c - 1. Let f(h) = i*m(h) - 5*a(h). What is the tens digit of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6860 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*k**3 + 89 - 48*k**3 - 88 + (0*k**2 - 5*k**2 + 4*k**2)*(-11*k - 8*k + 13*k) to the form b*k**3 + t*k**2 + v*k + m and give b.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Let u(c) = 4*c**3 + c**2 + c. Let a be u(-1). Let w = -2 - a. Sort w, x, 1.\nAnswer: 1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i + 3*i - 60 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (170 + -35 + 49 + -12 + -17)?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-1827) + (-2 - (-2664)\/(-116))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2*n + 1. Let d(t) = -2*t**2 + 13*t - 127. Let k(w) = -d(w) + u(w). What is the remainder when k(6) is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32884 is divided by 5478?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:06 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*w = 8, 14*k + 2*w = 9*k + 12. Solve -j = -k + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 7*k - 2931 = 0, -6*k = -2*m - 5*k + 2891. What is the greatest common factor of 181 and m?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -28*l - 22 - l**3 + 20*l**2 - 7*l**2 - 5*l**2 - 43*l. Is n(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2444 - 2446.998. Let k = w + 3. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -813?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((476\/42)\/(-17))\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 18*y**2 - 29*y**2 - 5*y.\nAnswer: -45*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 273 (base 16) to base 11\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0120574955 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**6\/40 - t**5\/15 - 5*t**4\/24 - 7*t**3\/6 - 8*t**2. Let c(z) = -z**3 - 2*z**2 - 2*z - 3. Determine -5*c(y) + 2*d(y).\nAnswer: -y**3 + 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4)**(-23)*p**12\/(p*((p\/p**8)\/p)\/p) assuming p is positive.\nAnswer: p**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23\/913 - -13\/83. What is the closest to 1\/6 in n, -4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 200, -164, 2 in decreasing order.\nAnswer: 200, 2, -5, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/312 and 17\/14.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 24*b - 36168 = 102642. Is 83 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-61868174.\nAnswer: 309340870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 43*g - 6*g)*(-5 + 3 + 4)*(-18 + 18 + 22*g)*(0 - 3 + 2).\nAnswer: -1760*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 11*p**2 - 12*p + 4. Let k be w(-12). Let b(q) = 0*q + k*q - q + 5*q. Let h(f) = f. Give b(h(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/100665 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1906839 and 1161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/8 + 4)*0. Let d(y) be the first derivative of y**2 + 2 - 2\/3*y**3 + v*y. Find x, given that d(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 27 - (0 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*t + 38*t - 2*s - 4 = -43*t, -111 = 1252*s - 1289*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyu when three letters picked without replacement from ufsay.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1328? (a) 43 (b) 2\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 16 = 15*k - 14*k, -4*c = -2*k + 10. Put 1, c, 8, -21 in decreasing order.\nAnswer: 8, 1, c, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 + -3.3796338\nAnswer: -3.3696338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**5\/120 - 91*q**4\/24 - 8281*q**3\/12 + 21*q**2 - 9. Factor v(s).\nAnswer: -(s + 91)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 135*y + 5 + 5 - 4*y + 3*y - y - 2*y + 2*y - y + (-5 + 1 + 3)*(-1 + 1 - 2*y) + 2*y + 0*y - y - 4*y + 5*y - 4*y.\nAnswer: -138*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154937479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/1690)\/((-1)\/2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2216, 2242, 2316, 2462, 2704, 3066?\n\"Answer: 4*y**3 - 2*y + 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 2, e: 1, z: 1, w: 1, g: 1}. Give prob of picking 1 w, 1 e, and 1 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**5\/60 - 13*s**4\/24 - s**3 - s**2 + 4. Let g(j) be the second derivative of v(j). List the prime factors of g(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwlwkkkwlkw. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100111 (base 2) in base 16?\nAnswer: -b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 + -17. Let d = 29 - v. Let x = d - -11.91. Which is the third smallest value? (a) x (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -950*-4581.\nAnswer: 4351950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h - h. Suppose 0 = -v - 0*v + h. Let l be (-5)\/15 - (-2)\/v. Which is greater: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -3 (c) -0.2448 (d) 49.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Let u(z) = -z**2 - z + 1. Let c be u(i). What are the prime factors of (-6)\/(-5)*(0 - c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451*f + 451*f + 64*f**3.\nAnswer: 64*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186343.\nAnswer: 79, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and (-8 - -11)*1\/((-32)\/58).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 100*l + 11. Let v be r(0). Solve -m + 6 = -2*k, v*m + 3*k = 7*m - 31 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.018*3\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 2:45 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -606\/5 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3))**(-10))**(-40\/7) assuming b is positive.\nAnswer: b**(-1200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 32. Suppose 0*t - 210 = 5*t - 5*j, 0 = t - 2*j + x. Let v = -29 - t. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -75810872.\nAnswer: -75810871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**3 + 0*o**3 - 2*o**3 + (1 + o - 1)*(2*o**2 - 4*o**2 + 0*o**2) - 249*o - 11*o**3 - 250*o + 502*o.\nAnswer: -12*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 357254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 4*i + 2. Give w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.085 + -1.085. Which is the nearest to k? (a) 2\/7 (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.04081 - -0.04081. Sort 9, -2\/17, 2, g, 0 in decreasing order.\nAnswer: 9, 2, 0, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {q: 18, m: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*h**2\/4 + 17*h - 3.\nAnswer: -(h - 6)*(11*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5177.096 kilograms?\nAnswer: 5.177096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*y = 20, -y - 16 = 2*k - 36. Sort -1, k, -3.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -830*y + 835*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v + 22*v**2 - 14*v + (112 - 112 + 209*v)*(-2*v - 4*v + 4*v) - 2*v**2 - 4*v + 4*v as i + n*v + m*v**2 and give m.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6399 and 1620?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 10\/3*t - 10\/3*t**3 + 2*t**2 + 2\/3*t**4 - 8\/3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0358616 * 0.278\nAnswer: 0.0099695248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 46021.8?\nAnswer: -46019.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1091 is divided by 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:43 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1 - -1)\/1. Let k be (-5621)\/(-33) - (-2)\/3. Let f = k + -168. Solve -4*x + f*x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50686 (base 9) in base 10?\nAnswer: 33369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3a90c2 (base 14) to base 7\nAnswer: -23122332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 4) to base 3.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2938 = -2*g + 12726, -5*g = 5*a - 39130. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 8. Let r be q(0). What are the prime factors of 2 + 259 + (13 - r)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 + -357. Is h <= -6\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 150, 144, 138, 132, 126?\n\"Answer: -6*k + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.5, 31, 15, -0.1, 83 in ascending order.\nAnswer: -0.5, -0.4, -0.1, 15, 31, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 112231703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 15 - 5*g + 4*g - 20 to the form y*g + h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6647\/3 - -2215. What is the closest to 272 in 0, n, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3 - 2 + 5*q + 2*q + q**2 + 2*q. Determine p(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16.9, 0.28, 10?\nAnswer: -16.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.1136*1483\nAnswer: 168.4688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 1. Let u = -0.27 - -0.07. Let v be 8\/(-12) + (-4)\/(-6). Which is the closest to v? (a) u (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 6*d - 10*d - 17, -35 = -5*m - 5*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7.946 times 28.6\nAnswer: -227.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280, -1136, -2636, -4840, -7808, -11600, -16276?\n\"Answer: -10*k**3 - 262*k**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/16*4\/(-6))\/(-1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255800.2 litres to millilitres.\nAnswer: 255800200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*f - 2643 - 831 = -281*f + 72*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1461412 is divided by 746?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j = 33*j - 2. Which is the smallest value? (a) j (b) 0.5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -619 or -58899\/95?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111110000 (base 2) in base 11?\nAnswer: 8080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 228546001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -103. Suppose 3*t + 150 = 3*q, 0*q - m*t - 140 = -3*q. Calculate the lowest common multiple of q and 85.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 87840 = 2*v + 87838, -5*v - 4*a = -23 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 238328 * -7.65.\nAnswer: -1823209.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2903*z + 0 + 584*z - 860*z + 0 to y + r*z and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11262 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o + 89349 = -13*o + 5*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 11224*g + 78736360.\nAnswer: 2*(g + 14030)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -378*p + 8. Let b(w) = -375*w + 7. What is 7*b(s) - 6*c(s)?\nAnswer: -357*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = 49*j - 14 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -147, -144?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 367\/564 - 175\/(-140)*(-3)\/15 and 79\/15.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1031 (b) -2376 (c) -0.3 (d) -4 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**2 - 7*i - 11. Suppose 5 = -17*j + 102 + 39. Calculate s(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 194*h + 30*h)*(3 - 2 - 3).\nAnswer: 338*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - 5*n**2 + 4*n**2 - 6*n**2 + n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/390 and 35\/351.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 7 + -13 + 12 + -8 + 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let z = -10 - -16. Let d(j) = -6 + 0 + 3*j + z. Determine b(d(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202*b + 210*b - 523*b to the form n*b + g and give n.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1258.89 + -1265. Round d to one dp.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23340 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3641219, -3641220, -3641221, -3641222, -3641223?\n\"Answer: -v - 3641218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191395 and 45859?\nAnswer: 23158795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 3*x + 9 = 3*m, -4*m + 5*x = 21. Let j = 0 + m. Let f be ((-2)\/(-4))\/((-7)\/(-7)). Which is the second smallest value? (a) f (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*k - 3*b, b = -5*k + 2*b + 5. Let t(m) = 2*m**2 + 112*m - 88. Let a be t(-57). Let c be 408\/(-102) + a\/4*2. Solve -1 = -k*i + c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12502608 and 411270?\nAnswer: 62513040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 12*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1723 - 1611. Which is smaller: 785\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3)\/42*-5)\/((-8)\/(-22)) and -79\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 104100?\nAnswer: -104103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) - 12\/(-42). Suppose a + y - 20 = 0. Suppose 6*q - q - 35 = 0. What is the remainder when a is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14777 is divided by 220?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2. Let g(v) = 1768*v**2 - 182. Let m(w) = 29*w**2 - 3. Let a(d) = -3*g(d) + 182*m(d). Give k(a(h)).\nAnswer: -2028*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22.873, 5\/116 in increasing order.\nAnswer: -22.873, 5\/116, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**2\/2 - 3. What is p(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-2 - 4). Suppose 2*u - u = 5*b - 184, -4*u + 115 = q*b. Calculate the remainder when b is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 17, -1, -3, 5 in ascending order.\nAnswer: -9, -3, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1 + (-909140)\/41265 - -10.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 12:23 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 0*o**4 + 0*o**3 + o**2 + 10 + 0*o + 2\/5*o**5. What is the second derivative of r(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1019, -1014, -1009, -1004, -999, -994?\n\"Answer: 5*m - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h**2 + 24. Let y(b) = -b**2 + 5*b + 1522. What is y(z(v))?\nAnswer: -196*v**4 - 602*v**2 + 1066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 359437762 and 2606?\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11212, -5 in descending order.\nAnswer: 11212, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1667, -1687, -1707?\nAnswer: -1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (91 - 92) + (-14 - (-2 + 7 - 12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2 + 0*z + z**2 + 0*z + 2*z. Let c be f(-2). Let j be c\/(-5) + (-34)\/(-10). Solve -2*g = 3*w - 5*w - 10, j*w = -9 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*z = 2*z + 12, -5*f + 10 = -5*z. Let w be (-6*(8 + -3))\/f. Solve -4*p = -p - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3344*v + 3151*v - 10191*v + 3444*v.\nAnswer: -252*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/9 (b) 0.05 (c) -3012 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*m + 167 + 276 + 95*m - 788 - 41*m.\nAnswer: -m - 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-6))\/n*n)\/n*n)\/n**(-1\/20) assuming n is positive.\nAnswer: n**(141\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3267354510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/2, -8, -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -756*u - 2120755 + 2120755.\nAnswer: -756*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 2. Let y be x(-2). What is the closest to -2 in -2\/7, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-13)*12)\/2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11754 - 37659 = 2812*p + 989*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 187.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -9565292.62 to the nearest 1000.\nAnswer: -9565000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-112))\/(403\/672204)*1*4\/3?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -4*x. Factor -3*b**5 + 8*b**5 - 10*b**4 + 3*b**5 + 5*b**3 - x*b**5.\nAnswer: 5*b**3*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -3, 1862, -8, 5, 2 in ascending order.\nAnswer: -8, -3, 2, 5, 36, 1862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:43 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 2403 and -7.\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -1\/10, 125\/3, 16, 5 in decreasing order.\nAnswer: 125\/3, 16, 5, -1\/10, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8951 is divided by 114.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 19*k**5\/20 - k**4\/2 + 109*k**3\/3 - k**2\/2 + 3*k + 16. Find the second derivative of h(q) wrt q.\nAnswer: 114*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79733066*d**3 - 9847*d**2 - 933 wrt d.\nAnswer: 478398396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + -110. Let w be x\/(-30) - 0 - 1. Is -2 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22662*103\nAnswer: 23.34186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = -4*w, -3*w + 5 + 3 = 5*a. Suppose 7133 + 13867 = a*h. Let q = 31603\/6 - h. What is the common denominator of q and -34\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -27*w - 470. Let q(c) = 72*c + 1. Determine q(v(b)).\nAnswer: -1944*b - 33839","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**3 - 5*l**2 - 5*l + 5. Let p(u) = 104*u**3 - 32*u**2 - 32*u + 32. Let y(a) = -9*a + 40. Let s be y(5). Calculate s*p(k) + 32*j(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 5*y - 8. Let u be l(-4). Calculate the highest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*m**2 + 3 - 3)*(165 - 185 + 230) - m**2 + 0*m**2 - m**2 - 7*m + 7*m - 3*m**2 to the form r + p*m**2 + l*m and give p.\nAnswer: 1465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/(-216)*(-69)\/14 and 46\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4400 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 83.15. Sort y, -1, 0.3, 1 in descending order.\nAnswer: 1, 0.3, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 4. Let l(j) = 2*j - 3. Let m(b) = -5*a(b) + 4*l(b). Let i(y) = -6*y - 15. Give -6*i(d) - 11*m(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhoqqgaha. What is prob of sequence hq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 138\/27 + -5 - (4 - (-14104)\/(-72)). Which is smaller: f or 3\/31?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 789636 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/78*(-102)\/255\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11506 by -3213.\nAnswer: 11506\/3213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -3*d**4\/4 + d**3\/3 + d**2 + d + 216. Let z be k(-1). Solve z*v - 3*c = -3, 3 = -7*c + 4*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761525.8um to kilometers.\nAnswer: 0.0007615258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -11*w**2\/2 - 36*w - 1. Suppose 27*p + 1003 = 625. What is the tens digit of i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.398 - 0.602. Which is the nearest to 2\/9? (a) 0.1 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571, -1\/3, 0, 0.5, 64 in ascending order.\nAnswer: -1\/3, 0, 0.5, 64, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -20 (b) -0.12 (c) 117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + (-630)\/56)\/(1218\/(-201376))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717353151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 34 = -5*s, 6 - 29 = -x + 4*s. Suppose x*y - 3*r = -468012, -3*y - 3*r - 468004 = -4*r. What is y rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3)*-2*(-6)\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6))\/(((w*w**11*w)\/w*w)\/w))\/(w\/(w*w\/w**3*w))**49)**(-1\/6) assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -74. Solve s*t + 25 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13547 minus 6.69?\nAnswer: -13553.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1316\/24346 + 11016\/1554.\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179904326 divided by -581?\nAnswer: 309646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20684 is divided by 984?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54238 divided by 2446\nAnswer: -27119\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6535403572 + 0.2\nAnswer: 6535403572.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32185 - 19895. What are the prime factors of r?\nAnswer: 2, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(7\/(-6 + 15\/6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84.67 + -86.67. Let r = -3.5 + -0.5. Suppose -5*y = 3*k - 2, -4*k = -2*y + 6*y. What is the nearest to w in k, r, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32347.953 + -32389. Let j = i - -0.047. Let y = -40.9 - j. Which is the closest to y? (a) 5 (b) -0.15 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -26\/89, -0.3, 5?\nAnswer: -26\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 - (1 + -7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 + -1 - -18)*-5 + -1 + -4?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-14 + 6)) + -43 - -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1061.59 rounded to the nearest ten?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855.2959ml to litres.\nAnswer: 0.8552959","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 144\/40 - 4\/(-10). Let f be (-75)\/(-6) + 2\/(-4). What is the first derivative of -12*z**2 - z**h + f*z**2 + 1 wrt z?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 6:49 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4938a (base 11) to base 15\nAnswer: -16089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2 (b) 3\/5 (c) -2.99 (d) -5 (e) 52 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2412423 and 6318?\nAnswer: 14474538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 11972?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 7 = -17. Suppose -z - 4 = -x*z, -s - z - 7996 = 0. Round s to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u**3 + 11*u - 11. Let w = 22 - 11. Let q(y) = 3*y**3 - 4*y + 4. Give w*q(g) + 4*x(g).\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 - 111. Let r be ((-419)\/2)\/(1*m\/(-12)). Suppose 0 = 3*f + 2*i - 359, -4*f = -5*i - r - 75. What is f rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10467*c**2 - 28624*c**2 - 4 + 3.\nAnswer: -18157*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 11*p**2 - 11*p - 1. Let i be m(-12). Let q = 18 + i. Solve 0*a - q*n = a, -5*n = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (-5 + -3*(sqrt(1584) - sqrt(1584)*2 - sqrt(1584)) + 0 + 1)**2).\nAnswer: -114080 + 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (-7 + 2 - 2). Let c be 2\/(a\/28*-2). Solve -4*y = 27 - c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 = 2*r + a - 229, a = 2*r - 770. Suppose -6*z + r = 17. Which is greater: 60 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 105. Calculate the remainder when 29 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 4, o: 1, t: 4}. What is prob of picking 1 t and 2 x?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 12 + 14 + 26, -5*f + 17 = -3*f - s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 1. Let b be n(5). Suppose p - 11 - b = 0. Suppose 0 = -6*o + o + p. Is 5 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004359042 to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -299489697 by -17617041.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/15 - 37744*f**2\/15 - 12582*f\/5 = 0 for f.\nAnswer: -1, 0, 18873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from dyydhddyyydhohdoyo?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.6903 rounded to 1 dp?\nAnswer: 111.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -113. Let m be (-5*2\/2)\/(11 + p). Which is smaller: m or -23\/4?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + 4\/(-20). Solve g*a = -a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6, -z + 4*z = -5*y + 44. Let g(o) = -o**2 + 8*o + 7. Calculate the least common multiple of 16 and g(y).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -42, -428, -2\/11.\nAnswer: -428, -42, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from kkdjdrkrrdkdjbkd?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 1287?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -294 and -3?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1.2, 22, -0.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25833*j*q**2 - 40127*j*q wrt q?\nAnswer: 51666*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2))\/v*v\/(v\/((v*v**(-2\/7))\/v))*v assuming v is positive.\nAnswer: v**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 105, -1.\nAnswer: -1, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = 2*v, -3*v + w + w = -12. Suppose 5417 = v*q - 18339. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2024, -2014, -1996, -1970, -1936, -1894, -1844?\n\"Answer: 4*o**2 - 2*o - 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 631515 - 161?\nAnswer: 631324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -3, -1\/751, 0.1, -1 in increasing order.\nAnswer: -3, -1, -2\/11, -1\/751, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26887496?\nAnswer: 2, 3360937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -2\/9 (c) 5 (d) -0.5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*g**3 + 740*g**3 - 387 + 387 + 238*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89, 138, 187, 236, 285?\n\"Answer: 49*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234665 = 42*x + 50*x - 261491. What is the remainder when x is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 divided by 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 34*q + 32. What is the remainder when f(-23) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2\/3, -1\/2, 0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(27)\/(sqrt(9)*1)) + sqrt(135)\/sqrt(5))**2 - sqrt(15)\/(sqrt(240)\/sqrt(12)).\nAnswer: -sqrt(3)\/2 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**4\/12 + 2*l**3 - 13*l**2\/2 + 5*l. Let c be z(-13). Solve -4*u - u = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1238334 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 125808407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 41*q - 6 = 0. Sort -16, q, 4, 5 in decreasing order.\nAnswer: 5, 4, q, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 187889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:59 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (-1 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*g**3 - g**2 + 179*g**3 - 446 - 399 - 94*g**3 - 164 as p*g**3 + x + k*g + m*g**2 and give x.\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**7\/315 + v**6\/180 + 2*v**5\/45 - v**4\/9 - 23*v**2 - 2*v. Factor d(c).\nAnswer: -2*c*(c - 2)*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13103233 (base 5) to base 13\nAnswer: -4669b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/3)\/(((s\/(s\/((s\/s**(-8))\/s)))\/s)\/s)*(s\/(s\/s**(1\/2)))**(6\/5))**(1\/33) assuming s is positive.\nAnswer: s**(-11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 4*q**2 + 17*q - 9. Let l(b) = -2*b**3 + 5*b**2 + 18*b - 13. What is -4*l(j) + 5*z(j)?\nAnswer: 18*j**3 + 13*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2719 divided by -4\nAnswer: 2719\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.433298l to millilitres.\nAnswer: 2433.298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(-5*u**4 + 3*u**4 + 0*u**4) + 1567*u**5 - 129*u**5 + 978*u**5.\nAnswer: 2420*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180352\/11 or 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -2*sqrt(637) + sqrt(117) + (sqrt(117) - (sqrt(117)*1 + sqrt(117))**2))*5.\nAnswer: -2340 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*l - 20, -5*l = 5*d - 17 - 3. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 0)*-6 + 1*(sqrt(3) + (sqrt(3) - sqrt(12))))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153320370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 144\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 166. What is the second derivative of 159*y**3 - 43*y**q - 111*y - 2*y wrt y?\nAnswer: 696*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d - 2. Let l(i) = -94*i**2 + 24*i + 10. Let k(t) = -5*h(t) - l(t). Find the second derivative of k(m) wrt m.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21b + -6294?\nAnswer: -64b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v + 5*h - 90, 2*h - 93 = -v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 622557540*g**3*n + g**2 - 228*g*n - 162374*g wrt g.\nAnswer: 3735345240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, v: 4, z: 4, k: 6}. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7*s + 12*s = 204, 4*r + 5*s = 876. What is the greatest common factor of 2338 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492 - (-10 + 5 - -3)*2?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + sqrt(19) + -4)**2 + 2.\nAnswer: -12*sqrt(19) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 9) + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j - 3. Let b(r) = -67*r - 1257. Give -b(n) + 8*f(n).\nAnswer: -5*n + 1233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 2*a**3 + 0*a - 292 - 20*a**3 + 292 + (-2*a**2 + 3*a**2 + a**2)*(4*a - 4*a - a) + 17*a**3 - 16*a**3 + 28*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -j + 2*k - 16, 2*j - 184 = 2*k. Let q = 45 + j. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 150, 1607, 4426, 8601, 14126, 20995?\n\"Answer: -b**3 + 687*b**2 - 597*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 37, 51, 65, 79, 93?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 - 2*s + 3. Let f be t(-5). Let m = f + 17. Suppose -5*k + 3*q + 0 = -5, 5 = m*k + 3*q. Which is greater: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-150)\/(-45)*(-6)\/(-4). Solve 0 = -5*p + o - 30 + a, 0 = -p + 3*o - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 12*v**2 + 8*v + 8. Let c(d) = 8*d**2 + 5*d + 5. Let n(k) = k**3 - 11*k**2 - 15*k + 28. Let f be n(12). What is f*c(t) + 5*a(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6628 divided by -3\nAnswer: 6628\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 5*y**2 + 5*y - 1. Let k be a(2). Let n = k + -2. Solve n*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 1. Let h(w) = 7*w + 4. Let s = -32 + 46. Let t(g) = 4*g + 112 + 97 - 389 + 63 + 67. Let o be t(s). Give o*a(r) - h(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Suppose 5*s = 4*p - 170, 3*s + 157 + 9 = t*p. List the prime factors of 2\/(-3) - p\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1052312 is divided by 350765.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2930*l*t**3 + 86966*t**3 wrt l.\nAnswer: 2930*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 2*u - 3*u)*(-u + u - 2*u)*(-14 + 16 + 25) to the form x*u + i + v*u**2 and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + ((-21)\/(-15))\/(24\/(-72)). Put 81, p, -4 in decreasing order.\nAnswer: 81, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34607915?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2000))\/((sqrt(90)*-1)\/sqrt(9)) + 1.\nAnswer: 1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 238.98089 to 1 decimal place.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 3*f**2 - 2*f - 2. Let y(j) = j**2. Let x(u) = -i(u) + 4*y(u). Let g be x(-2). Let o(c) = -2*c + 16. Is o(g) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -8. What is the units digit of b\/6 - 29\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Suppose -84 = i - 28. Let f = 61 + i. Solve -2*w = p*w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3529\/3 - -10514\/9. Are -7 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8 - 1. Find the second derivative of -20*f**3 - 9*f + 12*f**3 + 18*f**v wrt f.\nAnswer: 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tiuffutituiif.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t - 3*t + 2 + 0*t**3 + 4*t**4 - 2*t**3 - 2*t**4 as i*t + z + k*t**4 + h*t**2 + n*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 13. Let p be s(3). Let i be p\/5 + (-27)\/(-45). Let y(a) = 21*a + 1. Give y(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i**2 - 14*i - 14. Does 22 divide o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, v: 6, p: 2, y: 3}. Give prob of sequence uvpy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/21 + 5\/((-30)\/(-4378)).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -474078 by -242.\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 46.7. Let o = 47.96 + g. Let i = o - -0.04. Which is the third biggest value? (a) 0.3 (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6950\/(-630) - 10\/(-315).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 2. Let z be 2 + -1 + 231\/4. Let w = 59 - z. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c3 - -18bd4?\nAnswer: 18b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 561 and 1056?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 + 182.9794. What is k rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, p: 1, b: 1, o: 1}. Give prob of sequence bpo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2443 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 340620 (base 9) in base 2?\nAnswer: 110001110001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216234?\nAnswer: 2, 3, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/12100 and 11\/200.\nAnswer: 24200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 89*o**3. Let i(y) = -59*y**3. What is -8*i(l) - 5*t(l)?\nAnswer: 27*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + (142 - 148) - -126?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 6*b + 1507*b**3 - 1504*b**3.\nAnswer: 3*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-1) + -9)\/2. Let p(k) = -4*k**2 + 3*k - 5. Let h(m) = -1. Let w(r) = i*h(r) + p(r). Find the second derivative of w(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 28*f - 31)*(-1 - 3 + 1 + (-2 - 5 + 5)*(-2 + 2 - 2)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:29 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 26303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 4*t**2 - 5*t + 3)*(-2 + 3 - 2) to c*t**2 + h*t + y and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 48 = -3*t. Let y(f) be the second derivative of f**4\/12 - 11*f**3\/6 + 7*f**2 - 1558*f. Let s be y(t). Solve 0 = -r - s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385901.9 millilitres in litres?\nAnswer: 385.9019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/75 + 5*(-5)\/125)*(-78)\/(-8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 894704 and 44?\nAnswer: 9841744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itgi when four letters picked without replacement from igiggggigiiiit.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (22 + -9)) + -11 - (2 - (-30 - 0))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:02 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55245099?\nAnswer: 3, 7, 13, 28909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 96 + 10 = 0. Calculate the common denominator of (3 + (-95)\/32)*u and 236\/14*(-2)\/8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 10. Let k(r) = 9*r + 21. Let g(c) = 14*d(c) - 6*k(c). Let v be g(-7). Suppose v*m - 4*m + o = -2, 0 = 2*o + 4. Solve 2*t - t - 3 = m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4825 and 21037.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**3 + 63*p**2 + 52*p + 41. Determine a(-16).\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43001689 <= 43001687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(1\/3))**(-3\/8)*(g**(-6)\/g)\/(g*g**(-4\/5)*g))\/(g**3\/g**(2\/5)*(g\/(g**(-2\/17)*g)*g)\/(g**(-2\/5)*g)) assuming g is positive.\nAnswer: g**(-8121\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 25. Let q(j) = 15*j + 4. Let n be q(p). Suppose 3*i + d = 209, -5*i + 434 = 3*d + n. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.001*0.3.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Let c(y) = y**3 - y**2 + 2*y - 3. Let s be c(2). Solve s*o**2 + o + o - i*o**4 - o**2 - 2*o**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d45b (base 14) to base 12\nAnswer: 10a649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6185981*r**3 - 67271833*r**2.\nAnswer: -37115886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 880?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -780 + 858. What is the greatest common factor of j and 598?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/9 (b) -1\/3 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75845, 75830, 75825, 75836, 75869, 75930, 76025, 76160?\nAnswer: 76341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1016)\/762*1260\/24?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/5386 and 62\/5.\nAnswer: 26930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.115 - 0.2.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-42)\/52) + (-76)\/266?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-5)*u*u**(-1\/3)\/u*(u\/u**1*u)**(-4\/19) assuming u is positive.\nAnswer: u**(311\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 7. Let h be w(-4). Suppose -h*l + 15 = -0*l. Solve -25 = -l*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5173 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 2 - 2*j + 13*j**2 + 0*j**2 + 8. Let u(l) = 9*l**2 + 3*l + 4. Determine -7*u(g) + 5*v(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) - 2914\/(-184). Let o = c - 8573\/460. What is the common denominator of (-390)\/(-108) - (0 - 1) and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimffeemzem. Give prob of sequence ze.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/7 - 8*j\/7 + 9\/7.\nAnswer: -(j - 1)*(j + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 15 - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.015 - 0.075. Let l = f - 0.52. Let y = l + 0.08. Which is the closest to 2\/7? (a) y (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -h + 156, -156 = -3*m - 0*h + 3*h. Solve -4 = m*l - 48*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-393 - 63*k + 393)*(-7*k + 2 + 4*k - 3*k).\nAnswer: 378*k**2 - 126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 127 + 214. Which is smaller: s or 342?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 2 = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0554012768062 and -3.\nAnswer: -3.0554012768062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150236 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0 + 0 - 1 + 2 + 1 + 2 - 2 + (2 + 1 - 2)*(0 - 2 + 0) + 1 + 4 - 3 - 2 + 2 - 1)*(772 - 772 + 46*w) to the form y + k*w and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141.91 + -139. Let y = 0.09 + h. Which is the third biggest value? (a) 0.2 (b) 4 (c) -8 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 36*h + 4762. What is n(-53)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * 0.128.\nAnswer: -0.02688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 x when three letters picked without replacement from {o: 7, x: 2, g: 5, l: 4}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*-6418\nAnswer: 64180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 2, l: 3, r: 7, w: 2, k: 3}. Give prob of picking 2 k, 1 l, and 1 i.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.6956, 44\/205, -0.2.\nAnswer: -0.2, 44\/205, 0.6956, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {d: 9, r: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/60 - u**4\/8 - 5*u**3\/3 - 4*u**2. Let g = 9 - 2. List the prime factors of z(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*h - 1)*(3 + h**3 - 5 + 0*h**3).\nAnswer: -2*h**4 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:01 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 23, 17, 7, -7?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95929841017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171654241 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l**2*m*z - l**2*m + 99*l**2 - 5*m*z + 5*m + z + 4 wrt m?\nAnswer: 4*l**2*z - l**2 - 5*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**3 + 12*w**2 + 5*w + 5. Let k(o) = 12*o**3 + 17*o**2 + 4*o + 4. Give 4*h(z) - 5*k(z).\nAnswer: -8*z**3 - 37*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -33 * 62\nAnswer: -2046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210202110 + -1000202?\nAnswer: 2202201201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(10\/(-7700)*-22)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4540808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**2 - 26*b**2 + 14*b + 0*b**2 - 24*b wrt b?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140657 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 80*q - 662. Give x(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851687594?\nAnswer: 2, 3623, 117539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(0 - 2 - 2)*(-2 + 3 - 2)*(3*r + 6*r - 3*r).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 3*c - 9. Let j be i(-9). Let s = 47 - j. Solve 12 = -s*k - 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13641, 13643, 13645, 13647, 13649?\nAnswer: 13651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o + 1. Let a(y) = 22. Let l(q) = 2. Let n(x) = -2*a(x) + 20*l(x). Let w(u) = -4*g(u) - n(u). Suppose w(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -1) + 47 + -28\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122295?\nAnswer: 5, 7, 60637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321100 rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9045*-254.\nAnswer: 2297430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (2 - 0\/3). Do -1 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q + 29917 - 29851 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76086*b + 93765 wrt b.\nAnswer: -76086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 46*a**2 + a - 27. Let j be d(23). Sort -3, 3, 5, j in ascending order.\nAnswer: j, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p + 377. Let n(l) = -28*l. Determine n(k(z)).\nAnswer: 420*z - 10556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 2, b: 1, j: 6, x: 2}. What is prob of sequence xxpb?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27 - -20)\/(-28) + (-2803)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22636.12l?\nAnswer: 22636120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 203112133 (base 4) to base 12\nAnswer: 6b967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243 and 2677410.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16\/9, 20, -0.4, -5.6, 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594243, 594239, 594235, 594231?\nAnswer: 594227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let j be (-1 + 1)\/(2 + 0). Let i be k(j). Suppose -3*d - 1 + 4 = i. Solve -u = d - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -38. Suppose -10*w - 341 = -37*w + 334. What is the remainder when w is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 + 14*m**2 - 79 + 29*m**2 to n*m + o + x*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 28699919.7 to the nearest 10000.\nAnswer: 28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 2. Let u(s) = s + 1. Let c(m) = -2*u(m) - v(m). Let p be c(-6). Let j = p + 3. Solve 44 = 5*f - j*y + 9, 5 = 3*f + 5*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 94*p**2. Let d(v) = -2*v + 81. Determine d(o(b)).\nAnswer: -188*b**2 + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 15*q + 32. Calculate the remainder when 131 is divided by w(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 4*f, -1640520 = x + 4*f - 1640523 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 - -17 - (-41)\/4)*(-64)\/(-12) is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.4 * -10.2.\nAnswer: 136.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*28\/(-21)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -18, 4.\nAnswer: -26, -18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.6, -5, 77, -0.2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13637 * 0.1.\nAnswer: 0.013637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 + 234*f**4 - 8628*f**3 + 79540*f**2 + 736278*f + 1240578 = 0.\nAnswer: -3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 430776, 430828, 430912, 431028, 431176, 431356?\n\"Answer: 16*g**2 + 4*g + 430756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(10\/(-6)) + -5. Let o = p + 10. Suppose 69 = 3*g - o*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.082771 rounded to 3 dps?\nAnswer: -1.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z + 3*n - 4*n, 5*z = 2*n + 10. Let x be (-3)\/6*z\/(-1). Suppose -4*m + 82 - 2 = x. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) - (-4 - -1). Suppose -136 = 7*u - 3*u. Let o = u + 38. Solve -4 = 3*y - o*z, -8*z = -3*y - a*z - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 6:46 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2703685?\nAnswer: 2703685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 73.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13256 is divided by 122?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 885707416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -40 + 88 - 2*f - 50. Let m be c(-3). Suppose -m*z - 69 = -413. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 338 - -10?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from vqvtylvvvvlqccvlvv?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by -3*(-12)\/(-18)*138\/(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28484884.\nAnswer: 2, 613, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5 + 9*j**4 - 22*j**3 - 12*j**2 + 104*j - 96 = 0.\nAnswer: -2, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3 - 949*j**2 + 128*j - 30?\nAnswer: 12*j - 1898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 1173*d + 1170.\nAnswer: 3*(d - 390)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210200211 - -2202?\nAnswer: -210121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1370, 686, 2?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -31. Let t = y + 11. What is the highest common factor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3180\/53 - 76) + 1 + (-30)\/(-2). Factor p*k + 0 + 32\/9*k**2 - 2\/9*k**4 + 4\/3*k**3.\nAnswer: -2*k**2*(k - 8)*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/3*-1)\/(52\/(-47736)). Calculate the greatest common factor of b and 4437.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(3) + 1 + -1 - ((sqrt(6)\/sqrt(2) + -3)**2 - (sqrt(9)\/sqrt(3) - sqrt(3))**2*4).\nAnswer: -14 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389319*d - 97327*d - 97337*d - 97333*d - 97329*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 50*z - 484. What is u(-27)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, t: 1, u: 4, q: 2}. What is prob of picking 2 c and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -9. Let z = -4 - k. Suppose x + z - 15 = 0. Solve -5*y = -4*g, y - g + x = -2*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.5 and -9842.44?\nAnswer: 44290.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/20 - (-3)\/12. Calculate the highest common factor of g and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 25 (b) -1\/2787 (c) -2\/7 (d) 0.4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*i + 12, 2*y + 6*i = 8*i - 2. Suppose 31 = 5*x + 26. Which is the nearest to -5\/7? (a) 0.2 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 13*d**2 + 11*d - 10. Let w be 10\/(-15)*(18 + 0). Let f be l(w). What is the derivative of -1 + 5*m - 8*m - f*m wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = 49*v - 72*v. Suppose 5*h + g - 2*g = 45, 2*g + 2 = -h. Let y be 7\/4 - (-2)\/h. Solve -6*b - 31 = -b + y*u, -2*u - v = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/(-190) + -2*(-22)\/20\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 158883*t**3 + 1266*t - 1266. Let q(u) = -628*u**3 - 5*u + 5. Give 5*j(g) + 1266*q(g).\nAnswer: -633*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose -40 = -2*v - 3*k, -g*k - 98 = -5*v + v. Suppose 7 - v = -a. Solve -a = -u + 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98.66 - 104.66. Which is the closest to 14? (a) 1 (b) 6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*a*d - 134*a wrt d.\nAnswer: -107*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799781779 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 13. Is g(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35143, -2, 4\/9 in decreasing order.\nAnswer: 4\/9, -2, -35143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + sqrt(19) + (sqrt(209) - (sqrt(209) + sqrt(209)*2))\/sqrt(11) - (sqrt(190)*2)\/sqrt(10).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(76))**2 - sqrt(19)) + (sqrt(114) - (sqrt(114) + -2*sqrt(114) - sqrt(114)))\/sqrt(6) + sqrt(1900) + 5*(2*sqrt(1900))**2.\nAnswer: 12*sqrt(19) + 38074","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 10*u - 114 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3653322891 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14*i**3 + 649*i**2 - 8*i + 6. Let s(h) = -9*h**3 - 433*h**2 + 5*h - 4. Determine 8*s(y) + 5*x(y).\nAnswer: -2*y**3 - 219*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*q + 57*q - 18*q - 18*q in the form m*q + k and give m.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24649296 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 2}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iddvidviiividdvdiidv. Give prob of sequence viid.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -149, -272, -385, -482, -557, -604?\n\"Answer: w**3 - w**2 - 127*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -227, 0.5, 4\/13, -26, 2?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m. Suppose -3*k + 4 + 2 = m. Let r(l) = 8*l**2 + 6*l + 17. Let c(i) = -3*i**2 - 2*i - 6. Let b(j) = -17*c(j) - 6*r(j). Give b(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/1 - 3)*2\/15. Let y = 24\/11 - 32\/55. Suppose -2\/5*h + 8\/5*h**4 + 0 - 2\/5*h**5 + y*h**2 - c*h**3 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -34. Let c = m + 13. Let h be -2*(0 + -1) + c. Solve -p + 2 = s, -3*p - 10 = -h*s - 7*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-4) - (-2406)\/12?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - 4*i)*(198 + 8*i - 198) + 0*i**2 + 4*i**2 + i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/3)\/(-66))\/(2\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 1:02 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(176)*3.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4881076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235.241492 - -1976255.288508. Let z = -1976503.8300053 + b. Let k = 13.3 + z. What is k rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1909, 1896, 1883, 1870, 1857, 1844?\n\"Answer: -13*n + 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:40 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*r + 45, 5*r - 5*m - 47 = 28. Suppose 2*w + r - 59 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 1. Is 15 a factor of c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19410 + 19411.26. What is the fourth biggest value in u, -10, -2\/3, 4\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/42)\/((-30)\/(-175)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**3 + 291 - 274 + 8*q**3 wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 567 - -323. Let w be (0 - 11)\/(2\/(-90)). Let b = h - w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 - 129*z - 31. Let q be x(36). Suppose 0 = 3*y - s - 0 - 10, 0 = y - s - 6. Suppose -1 = g + y, -q = -2*d - 3*g. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 9. Let m(z) = z**3 + 3*z**2 + z + 2. Let c be m(-2). Suppose -16 = -c*g + 16. Solve g + 2 = k*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 2. Suppose -2*o - m = -3*m + 14, o - a*m = -12. Let c = o + 16. Calculate the remainder when c is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + d + (d + 1 - 1)*(0 - 2 + 3) + 0 + 4*d + 0 to the form s*d + w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 110*o**3 - 48*o**4 - 160*o + 3*o**5 + 2*o**5 + 3*o**4 - 5 = 0 for o.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 11*j**7\/105 - 29*j**3\/3 + j**2 - 4*j. Differentiate k(b) with respect to b.\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1481, 1485, 1489?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.128096 micrometers in meters?\nAnswer: 0.000007128096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6))**(-29)*(b**(-13))**(16\/9) assuming b is positive.\nAnswer: b**(-329\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 25.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32485304 divided by 4.\nAnswer: 8121326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + (-1 + sqrt(72) + 5)**2) - 6*-3*((sqrt(72)*1)**2 + -1).\nAnswer: 240*sqrt(2) + 1713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nign when four letters picked without replacement from jginhnij.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89705 and -1.998?\nAnswer: 179230.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 22 = 2*j - q, q = -2. Let m = -7164 + 7168. Solve -m*u + j*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 4, 0.9, 106?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:48 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/5)\/(1\/4). Let p(z) = z + 10. Let a be p(h). Solve 2*b - 5 = -a*m + 1, 4*m = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19713024*m**5 - 94819918*m**2 wrt m?\nAnswer: -1182781440*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -620417 and 0.1?\nAnswer: -62041.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((15*j + 6*j + 7*j)*(2 + 1 - 5) + (3*j + 4*j - 6*j)*(-1 + 1 - 2) - 2*j + 0 + 0 + j - j + j + 0*j + 0*j - 2*j)*(8 - 3 + 0).\nAnswer: -305*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -142484554451.\nAnswer: -142484554451.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9 + 15 = 0. Let l be 2\/t + (-5)\/(-3). Solve -3*c = -l*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21372135 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: Suppose -8*v + 7*v = -8. Let c be (32\/v)\/((-2)\/14). Let o be c\/(-63) - (-2)\/(-18). What is the second smallest value in -0.4, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 take away -2?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29856400 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 843 - 843.12. Which is the fourth smallest value? (a) i (b) -0.1 (c) -4 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 42. Let j be t(-17). Suppose -3*k = m - 38, j*k - 7*k = m + 22. What is the least common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35316*g + 7*g**2 + 30*g**4 - 35347*g - 33*g**4 to the form p*g**4 + f*g + j + o*g**2 + s*g**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 - 72701\/30*3. Let f = 7282 + m. Find the common denominator of -65\/2 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10029, -10025, -10019, -10011?\n\"Answer: n**2 + n - 10031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + -3 - 6) + -8 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 4, p: 12, n: 2}. Give prob of sequence mp.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2\/3*b**2 - 8*b + 24 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.84 + -2.16. Which is the closest to 2\/7? (a) -3 (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22485377 is divided by 289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -42\nAnswer: -11\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4633?\nAnswer: 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39516261?\nAnswer: 3, 13172087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -147.669*-0.098\nAnswer: 14.471562","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 15470?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -558.\nAnswer: -14\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2560274.353 rounded to the nearest one thousand?\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 + i**2 + 4. Let f(m) = 1062*m**3 + 54*m**2 + 216. Give -2*f(q) + 108*s(q).\nAnswer: -2340*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)\/c*c)**(-25)\/(c\/(c*c*c\/(c**0\/c)*c)*(c*c**(-6))\/c) assuming c is positive.\nAnswer: c**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 37 - (-8 - 3 - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137409160.\nAnswer: 2, 5, 19, 571, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 15. Give t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26\/4*14\/((-8)\/(-8)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5\/2 - 668*s**4 + 675*s**3 + 8678*s**2 - 33413*s\/2 + 8022 = 0.\nAnswer: -1337, -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48037?\nAnswer: 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -4. Let f be 15\/(7\/2 + -2). Suppose -n - 4*n = -f. Solve p + v = n*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 141. What is the remainder when u is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -0.8492, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**2 + 6 - 12 + 7 + 21*g**2.\nAnswer: -20*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -512312 - -4?\nAnswer: -512308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c**2 + 350*c + 1761. Determine s(-5).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 115417980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 31. Let x be 0 - (72\/(-4) + i). Suppose 10*r + 188 = x*r. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxwgxgexgwgxgegoe. What is prob of picking 1 x and 3 e?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a - 5. Let j(h) = 4*h - 5. Let q(g) = -3*d(g) + 4*j(g). Let p be q(9). Suppose 38*x - 43*x = -15. Solve z - p = -x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**3\/3 + 62*t**2 - 1922*t + 57. What is f in y(f) = 0?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 71*h**2 + 3*h**3 - 71*h**2)*(-1 + 2*h + 1).\nAnswer: 6*h**4 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5803.9 - 5804. Which is the closest to t? (a) -6\/7 (b) -26 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-20 - (-54 + -1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 2*r + 2. Suppose 4*x = 6*x - 3*l + 34, -2*l + 41 = -3*x. Let f(h) = 16*h**2 - 11*h + 11. Determine x*q(m) + 2*f(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -127\/8. Let h = -69.78 + 69.68. Which is the nearest to -2\/5? (a) -18\/7 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**2\/7 - 19960*n\/7 + 7102656 = 0.\nAnswer: 4788, 5192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*r**2 - 682*r + 346*r + 342*r.\nAnswer: -323*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2899.95311 and -2.0341.\nAnswer: -2901.98721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 15*c**2 + 8*c - 29. Is n(-8) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/100*(-2 + (-54)\/(-7) + -6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 5*p - 5*p)*(0*p**3 + 0*p**3 - p**4) + (-7*p + 3 - 3)*(-1247*p**2 - 4*p**3 - 2*p**4 + 1247*p**2).\nAnswer: 12*p**5 + 28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(340))\/sqrt(10))\/(sqrt(2) + 6*(sqrt(2) - sqrt(10)\/sqrt(5))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-81 + 28 + 39)*(2 - 2 + 2*t**2).\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.92 + -6.92. Let l = b - 143.4. What is l rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-4)\/((-48)\/(-10)). Let q = -2.96 - 2.04. Which is the closest to 0? (a) q (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8740056 is divided by 1141?\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 32*h + 10. Give x(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + (-1 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*b + 69*b - 33*b)*(-2*b - 2 + 3*b + 0*b).\nAnswer: 14*b**2 - 28*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + 3 + -17 + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/12 - (-1 + -10). Suppose -o*u - 3*s = -2*u - 61484, -12301 = -u - 2*s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6) - 455\/330?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -1\/5 (c) -2\/9 (d) -22 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-99)\/12*472\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a**2 - 9*a - 17. Determine y(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2232845*c**3 + 3717146*c wrt c?\nAnswer: -13397070*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543081 is divided by 542?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.11 or -2.4488?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (16\/(-14) + 16\/112). Let c(d) = 3*d**2 + 5*d + 3. Give c(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 34. Let v = 24 + j. Suppose v = 4*u - 3 - 13. Sort u, -1\/4, -1\/16 in increasing order.\nAnswer: -1\/4, -1\/16, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22401 (base 5) to base 2\nAnswer: 11001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/10)\/((-8)\/(-30)). What is the biggest value in b, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15 = 5. Suppose -h*c + 4 = -0*c. Suppose -3*n + 132 + 7 = -g, -c*g - 43 = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8083, -16174, -24263, -32350?\nAnswer: -40435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**5\/5 + k**3\/2 + k + 6. Let r(t) be the first derivative of o(t). Let s(l) = -3*l**3 - 2*l. Determine -2*r(w) - 3*s(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*z - 11222 + 1520 = 0 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 20*i**2 - 12*i + 607. Give x(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 23*z**5 - 12*z**3 + 17*z**2 + 23*z + 17. Let l(c) = 8*c**5 - 4*c**3 + 6*c**2 + 8*c + 6. Let p(y) = -6*a(y) + 17*l(y). Suppose p(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/4680 and (-1148)\/(-1080)*11\/(1848\/(-36))?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-8)*(-10)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*a = 148 + 74, -3*f + 2*a - 134 = 0. Let s be (-430)\/(-1)*(0 + 4\/(-10)). Let u = -215 - s. Which is greater: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 693509215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -291, -299, -273, -201, -71, 129?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24820000 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 12 = 19*q + 4*h, -5*h = 2*q + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**5\/5 + 31*k**4\/2 + 170*k**3 + 225*k**2 - 603. What is j in l(j) = 0?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 15, -2, 1, 1\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2968\/(-38) - 2*(-10)\/190. Is 33 a factor of (0 - -3 - (-17)\/(-2))*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2475, -4949, -7423, -9897?\nAnswer: -12371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.923 - -152.303. Let x = c - 155. What is x rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 11 - 37. Are h and 25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:34 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25861 by 13649.\nAnswer: 25861\/13649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*t - 12 + 132. Suppose -w = 5*w - t*w. Solve 1\/3*g**2 + w + 1\/3*g = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -805035*3.4\nAnswer: -2737119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 64. Let m be s(8). What is the second smallest value in -0.4, m, -5, 2\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3222701 + -13.6775999. Let r = 14 + w. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/15 + (-4 - 92\/(-15)). Solve 0 = 3*p + 5*h + 40, s*h = 3*p + 7 - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 2\/2)*0. Suppose l = -5*m + 470 + 115. Let k = 1051\/9 - m. What is the third smallest value in -2, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14787\/187 >= 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/198 and 59\/495.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -664\/77 - -98\/11. Suppose 5*f = 3*z - 150, -157 = 4*f - 0*z + 5*z. Let j = -34 - f. Which is the nearest to j? (a) 5 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10037, -10059, -10091, -10139, -10209, -10307, -10439?\nAnswer: -10611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1991091 - -0.2.\nAnswer: 0.3991091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13813309, 27626609, 41439903, 55253191, 69066473, 82879749, 96693019?\n\"Answer: -3*s**2 + 13813309*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17067*q + 5211 wrt q?\nAnswer: 17067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 138, -4, 0, 39, -3 in decreasing order.\nAnswer: 138, 39, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/5 - 25821*m**2\/5 + 1116882*m.\nAnswer: 3*m*(m - 8385)*(m - 222)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495458272 divided by 742816.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac5 (base 13) to base 14.\nAnswer: -1692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 642 and 918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60057*m**2*o**2 - 146*m**2 + 5*m*o**2 - 16*m + 2 wrt o?\nAnswer: 120114*m**2*o + 10*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15*(11\/(-3) - -3). Let y be r\/4*20\/(-25). Calculate the highest common divisor of 4 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, i: 1, z: 1, q: 2, y: 5, t: 5}. What is prob of sequence zk?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*o**2 - 32474*o + 1804 = 0. Calculate o.\nAnswer: 1\/18, 902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*f**4*m - 2*f**3*m**3 - 2*f**2*m + 3*f*m**3 - 2 wrt f.\nAnswer: -912*f*m - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7978 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-7)*h*h**(-3\/26))\/(h**(-35)*h*h**31))**(-21) assuming h is positive.\nAnswer: h**(1701\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/66 and 51\/9490.\nAnswer: 313170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 5*v**3 - 3*v**3 - 2 + 3*v + 1 in the form k + p*v**2 + u*v + n*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -72808000 divided by 100?\nAnswer: -728080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 5*p - 18 = -0*j - 3*j, 11 = 5*p - z*j. Suppose -4*w = -p*w. Solve -3*q = 7*r - 2*r + 10, -5*q + 2*r - 27 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -34, 0.2, -1.1, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-4) - (-3)\/4. Let i(g) = v - 4 - 3*g - g + 2*g + 3*g. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217762386 divided by 197786.\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 324*u - 4093. Give k(12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*t + 1, 0 = 3*t - 13*f - 0*f - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5\/7, 1203557, -0.3 in descending order.\nAnswer: 1203557, 3\/7, -0.3, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, 15, 1\/2, 2, -8, 4739 in increasing order.\nAnswer: -8, -2\/9, 0, 1\/2, 2, 15, 4739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62 + -3da5ae?\nAnswer: -3da610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243) - (sqrt(30)\/sqrt(10) + -5).\nAnswer: 5 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 9*z**2 + 3*z - 10. Let n be a(8). Let l = n - -83. Suppose -u + 3*u = 6, -d = -3*u - 8. What is the remainder when l is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31159, -124253, -279403, -496603, -775847?\n\"Answer: a**3 - 31034*a**2 + a - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t + 2. Let p be b(2). Let m(c) = -p*c**2 - 10*c**2 + 10*c**2. Let x(q) = -6*q**2. Let o be (-2)\/(-6)*-1*-21. Determine o*m(u) - 5*x(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23683, -47405, -71127, -94849, -118571?\nAnswer: -142293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5771\/5*d**2 - 1682\/5*d + 0 + 7973\/5*d**3 + 9\/5*d**5 + 529\/5*d**4 = 0.\nAnswer: -29, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*h - 17*h**5 + 15*h**5 + 32*h**3 + 53*h + (0*h**2 + 2*h**2 - 3*h**2)*(2*h**3 + 4*h**3 - 4*h**3).\nAnswer: -4*h**5 + 32*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:53 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 706*o**5 + 9*o**4 + 5*o**3 + 4426*o**2 - 5*o + 1 wrt o?\nAnswer: 42360*o**2 + 216*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 19, 14, -5, -44, -109, -206, -341?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3129*r**2 + 7*r**4 + 95*r**3 - 14*r**4 + 3131*r**2 in the form x*r**3 + o*r**2 + p*r**4 + j + y*r and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4370 or 1.7?\nAnswer: 4370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/599 in -1, 0.453, 31?\nAnswer: 0.453","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58651*f - 14517*f - 59486*f.\nAnswer: -132654*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 7:07 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.1 + -0.1. Let i = 0.3 + 0. What is the closest to 0.1 in i, m, -2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070799 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-1 - 4) + (-9 - -19 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/((-66)\/24) - 113*-1. Suppose 0 = -9*v + 4*v - 4*c + 170, c - z = -3*v. Calculate the remainder when 74 is divided by v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 101*f - 371. What is w(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 4:08 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -1 - 5. Let d(r) = j*r - r**2 + 2 - r + r**2 + r**2. Let h be d(-5). Solve 2*u - 23 = -6*x + 3*x, -4*u + 6 = -h*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 205.\nAnswer: -1\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/(693\/(-22)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1712122?\nAnswer: 2, 856061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 - 29*y. Let w be 320\/(-120) - 64\/(-6). Let c(m) be the third derivative of -m**5\/20 - 19*m**4\/24 + 7*m**2 - 4. Determine w*c(f) - 5*n(f).\nAnswer: f**2 - 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/229264 and 5\/50667344?\nAnswer: 50667344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13 = -3*z, -4*z = -9*y + 10*y - 18. Let s(a) = 3*a - 1 + 3*a**2 + 4 + 2. Calculate the remainder when 21 is divided by s(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*q + q. Is 3622\/q - (-4)\/14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 34247411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39447272 to four dps.\nAnswer: 0.3945","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5374?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*v + 94*v**2 - v**4 - 1 + 50*v + 75*v to the form g*v**3 + h*v**2 + k*v**4 + l + b*v and give h.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/4, -0.091, -25, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*p**2\/11 + 962*p\/11 + 1812\/11.\nAnswer: 2*(p + 2)*(14*p + 453)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 5*t + 4. Let q be l(4). Let n = 598 + -502. Suppose q = -4*b + n. What is the lowest common multiple of 18 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -3 (b) 9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68545880, -68545881, -68545882?\n\"Answer: -a - 68545879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 4 = 0. Suppose 2*h - l = 6. Calculate the remainder when (-1080)\/(-25) + (-1)\/h is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3473, 3483, 3507, 3551, 3621, 3723, 3863, 4047?\n\"Answer: j**3 + j**2 + 3471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -219883.6684815?\nAnswer: 219879.6684815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52117 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iqi when three letters picked without replacement from qiiiiqiqiiqiiiiiiiii.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29132991*o + 833394083 wrt o?\nAnswer: -29132991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 - 80 = b, -2*f = 2*b + 160. Let a = 149 + b. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/9 (b) 1 (c) -3 (d) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*s + s. Let a = 30 + -12. Let i = a + -8. What is the smallest common multiple of i and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 8. Let z = -9 + 20. Let i be u(z). Suppose t = -3*r - 8, 0 = i*t - 3 - 9. Let p(q) = 3*q + 1. Give p(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + i - 52 + 28 + 0*i + 0*i - i + (0*i - 2*i + i)*(3 + 3 - 4) in the form g + f*i and give g.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70107886*a**2*r**3 - 24839287*a*r**3 - r**3 wrt a?\nAnswer: -140215772*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = 2*d - 50, -4*i + 162 = 5*d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2107?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -61*h + 1. What are the prime factors of s(-5)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuu when three letters picked without replacement from {u: 5, i: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -3.36011\nAnswer: -13.44044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*a + 0 = 1, 5*y - 35 = 2*a. Calculate the smallest common multiple of 11 and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 + 52*g**3 - 21*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27 + 340 + 2890*n + 278 - 585*n wrt n.\nAnswer: 2305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 3*l + 3. Let q(h) = -5*h**2 - 8*h - 8. Let b(i) = 8*d(i) + 3*q(i). Let v(m) = 3*m**2. Calculate v(b(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 187*b**2 + 2398*b + 63. Give v(199).\nAnswer: 2053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011100100001011 (base 2) in base 16?\nAnswer: 2390b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-31)*j)\/(j**(2\/5)*j)*(j\/(j*(j*j**(-24)*j)\/j))\/j*j*j**(-8\/9)*j*j)**(2\/27) assuming j is positive.\nAnswer: j**(-656\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 25*p + 25. Is 20 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(17) + 1 - sqrt(17)) + 2 + -1 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 9*b**2 - 11*b - 20. Calculate c(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 - 30*v - 31. Determine g(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 11*k - 18. Let z be r(-8). Suppose z*p = -p + 84. Let v(o) = o**3 - 11*o**2 - 10*o - 5. Is v(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*y = 6 - 0, 3*u - 2*y - 34 = 0. Suppose -22*s = -23*s + u. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 - 2*i - 12*i + 7*i + 2*i + 6*i in the form d*i + h and give h.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjx when three letters picked without replacement from {o: 1, x: 3, j: 1, b: 6, c: 6, h: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i. Let q(o) be the first derivative of 1\/24*o**4 + 0*o + 0*o**3 - 14 + 17\/2*o**2. Let z(p) be the second derivative of q(p). Give z(m(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85897070*a**3*i**4 + 16234*a**3 - 2346*a - 2*i**2 wrt i?\nAnswer: -2061529680*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + 9 + -14)) + -14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112765 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 11*l + 17. What is j(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66620 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14348, 14347, 14346, 14345, 14344?\n\"Answer: -v + 14349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14929.\nAnswer: 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -39. Suppose 14*i = 15*i - f. Suppose -35 = -7*x + 2*x. Put x, i, 4 in decreasing order.\nAnswer: x, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12992 (base 12) to base 15\nAnswer: -78b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04944024 to five decimal places.\nAnswer: -0.04944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5098904 divided by -73.\nAnswer: 69848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.68992835 + 0.60202625. Let d = o + 5.708046. Let u = d + -11. What is u rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1850762.1 to the nearest ten thousand.\nAnswer: 1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*g - 49*g - 44*g - 45*g**2.\nAnswer: -45*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q = 107*q - 864. Solve q = -4*m + 2*f + 26, -2*m + 3*f = 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4\/13*v**4 + 0*v + 0*v**2 + 2\/13*v**5 + 2\/13*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + -7) - -4 - (-3 + 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-8)*4\/(-6). Solve -f = g*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**27\/h*h))**(2\/15)*h\/h**(-42)*h**7 assuming h is positive.\nAnswer: h**(698\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 952497 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 8*n - 3. Let x = 1499 + -1494. What is m(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**4 + w**3 - w**2 + w - 1. Let m(i) = 2*i**4 + 2*i**3 - 19*i**2 + 2*i - 2. Let j(r) = -m(r) + 2*y(r). Find the third derivative of j(q) wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*t**2 - 1 - 2202*t**2 + 1007*t**2.\nAnswer: -193*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 78*p**2 + 217*p + 604. Calculate q(75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4670*c**2*n**3*z + 721*c**2*z - 72*c*n**3*z + 43*c*n**2 - 62*n**2*z wrt c.\nAnswer: -9340*n**3*z + 1442*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7*h*h*h**5*(h**0)**(-2\/89))**(-2\/59) assuming h is positive.\nAnswer: h**(-28\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6111*j**5 + 392*j**5 - 3*j - 1696 + 1946 wrt j.\nAnswer: 130060*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(12\/7)*x**(-17\/4))\/(x*x*x**4)**28)**29 assuming x is positive.\nAnswer: x**(-138475\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.11 + -0.11. Let p = 7.00000036 - g. What is p rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 11:05 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.798 (b) 5 (c) 2\/3 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1572 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194419900 rounded to the nearest one million?\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 66*c - 376. Calculate n(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 7*f**4\/24 - 3*f**2. Let x(y) = -y**2 + y - 2. Let o be x(2). Let z(g) = g + 5. Let t be z(o). Calculate u(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3357747 and 11529.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, -74, -303, -770, -1559, -2754, -4439?\n\"Answer: -14*k**3 + 7*k**2 + 2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 2*c + 5*c. Let x(r) = 330*r + 27. Let o(f) = -47*f - 5. Let n(j) = 7*o(j) + x(j). What is n(p(z))?\nAnswer: 2*z - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5587 - -1086.\nAnswer: -4501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -73. What is the smallest common multiple of 21 - (p + 3\/1) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.57 + 83303865\nAnswer: 83303863.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -2*sqrt(2178))\/(sqrt(45)\/(-2*sqrt(5))) - ((2*sqrt(160))\/sqrt(8) + sqrt(20))\/((sqrt(80) + 1*sqrt(80) - sqrt(80))\/sqrt(8)).\nAnswer: 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1394.7339 months to centuries.\nAnswer: 1.16227825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -4, -2, 1, -165 in decreasing order.\nAnswer: 40, 1, -2, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.38333231 - 0.12665859. Let t = b + 1.51. Round t to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/((2\/2)\/(-139)) is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/2 - 3481*j**2 - 6069657*j\/2 + 3038310 = 0?\nAnswer: -5940, -1023, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 107. What is the fourth smallest value in m, -2, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 0.1544285\nAnswer: 0.5544285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 u when three letters picked without replacement from {x: 1, y: 2, q: 1, u: 1, s: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3436223653?\nAnswer: 41, 233, 359701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42.7 - 43. Let p = -2 - 0. Which is the biggest value? (a) l (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12144766*u**2 + 1338*u + 285.\nAnswer: 24289532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78562728.\nAnswer: 2, 3, 1091149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 22 + 14 = 0. Solve 2*d + x = -4*h, 0 = -4*d - 15 + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-1 - sqrt(133))*-2 - ((-5*(sqrt(133)*-2 + sqrt(133)) - sqrt(133) - sqrt(133)) + sqrt(133)))\/((5*-2*sqrt(28))\/(3*sqrt(16))))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10)*z**(-2\/15)*z*(z**(2\/5))**(-1) assuming z is positive.\nAnswer: z**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*o**2 + 10*h*o**2 - 18389*h + 16537*o**2 + 73*o wrt h?\nAnswer: -2*h*o**2 + 10*o**2 - 18389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - 1.3. Sort -3\/2, -3\/5, k in ascending order.\nAnswer: k, -3\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 87. Suppose -f - 23 = -3*n - 21, -3*n = -p*f - 4. Let y be (-6)\/14*4\/3. Is n <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 4*p + 3. Suppose 95 = 5*q - 3*b + 1749, -4*q - b = 1313. Let h = 333 + q. What is z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1356 - -1350. Suppose -2*u + 23 = 3*k, -3*u = k - 3*k - 2. Let z = -125 - -125.2. Which is the nearest to -2\/7? (a) i (b) z (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 greater than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3847 by -47.\nAnswer: 3847\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 6*y**2 - 5*y - 11. Let m be v(7). Solve m*q - 12 - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 - 5*k + 4. Let u(h) = 8*h**3 - 4*h + 5. Calculate -5*u(m) + 6*y(m).\nAnswer: 2*m**3 - 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.389 + -20.5. Let x = a + 2.811. What is x rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*j + 179 = 128, 2*m + 5*j = 53. Calculate the least common multiple of m and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 193*u**2 - 10*u + 109. Is 27 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 40 - 6)*(5*l - 5*l + l) + 17*l - 13 + 13.\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 3, -0.6.\nAnswer: -21, -5, -0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/7))**(-4\/25)\/((h*h\/h**(-1\/4)*h)\/h**3))**(-6) assuming h is positive.\nAnswer: h**(717\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -v. Let r(p) = -p**3 + 3*p**2 + p - 2. Let l be r(v). Let k = l - 0. Is k greater than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 21*o**2 - 11*o - 8. Let a be m(-10). Solve 0 = -3*r - 19 + 7, 4*r = -a*g - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 + 3*u. Let r = -34 - -33. Let z(m) = 3*m**2 + 8*m + 7. Let t be z(r). Calculate k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4*f + 21. Let q be n(7). Let j = 25300397422161\/117838 - 214704912. Let l = j + -1\/886. Is l smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88463756*r**2 + 82671810?\nAnswer: 176927512*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 759330, 759337, 759348, 759363, 759382?\n\"Answer: 2*i**2 + i + 759327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7, 16, 23, 28, 31?\n\"Answer: -a**2 + 12*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-6 - 12 + 22)*(42*s**2 - 3*s**3 - 45*s**2 + 2*s**3) in the form u*s + k*s**2 + l*s**3 + d and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 712810 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 6*p**3 + 0*p**3)*(35 + 236 - 97 + 189 + 21).\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 < -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 142ca6 - 55?\nAnswer: 142c51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 + v + 2. Let b be a(0). Let k = 99 + -96.2. Let f = k - 2.3. What is the nearest to b in -1\/4, 2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/20 - 2\/5. Let l = 8 + t. Which is the third smallest value? (a) l (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -2\/7, 2\/21, -4, 348?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/9)*x*(x*x**(2\/7))\/x*(x*x**17\/x)\/(x*x**(1\/24)) assuming x is positive.\nAnswer: x**(8635\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l - 25*l**3 + l**2 + 0 - 155\/24*l**4. What is the first derivative of m(w) wrt w?\nAnswer: -155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78543385.\nAnswer: 5, 15708677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t = 7 + 80, -2*t - 54 = -k. Let d = k + -39. Solve 5*m - 1 = d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*g**2*z**2 + 20*g**2 + 173*g*z**2 + z**2 + 2*z - 7 wrt g.\nAnswer: -128*z**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1380 from -0.1.\nAnswer: 1379.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -18. Let h be 5*(-7 + 4 + 2 + z). Let b = 2 + -4. Does h = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szszszzgssszgsui. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.318625 milligrams in micrograms?\nAnswer: 6318.625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434172443 - 434172440 - 7*q**3 + 868344883.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3902.14 to the nearest ten.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -12*h + 2. Let p(a) = -174*a + 28. Let m(n) = 4*p(n) - 56*r(n). Let c(o) = -o + 1. Let z(i) = -10*i + 8. Let k(v) = -8*c(v) + z(v). What is m(k(j))?\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*c**2*v + c**2 - 4*c*v + c - 3706365*v wrt c.\nAnswer: 128*c*v + 2*c - 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2 + 4\/3). Suppose -2*t + d = -0*t. Is 2 - (3 + t*-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8443050\/(-230265)*((-6)\/(-2))\/((-1)\/(-1))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuxuuvv. Give prob of picking 2 v and 1 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 467, -1642, -3749, -5854, -7957, -10058?\n\"Answer: g**2 - 2112*g + 2578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -39*i**3 - 2*i**2 - i. Let l be j(-1). What is the remainder when (740\/8)\/(10\/4) is divided by (-8)\/(-16) + l\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 + 149*z**2 - 372*z - 450. What is s(-52)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 10625704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(75\/6) + 0. Let r = 52 + -45.8. Let f = -6.4 + r. What is the nearest to -0.2 in f, a, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99966.\nAnswer: 2, 3, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 8*c - 1. Let t = -24 - -17. Let s be (t - -4) + (0 - 8). Does 13 divide q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 2. Let s be t(-2). Let k be s\/(-8) + 18\/8. Suppose 5*z - 2 = k*z. Sort z, -1, 0 in decreasing order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = -5*l. Put -8, l, -2 in decreasing order.\nAnswer: l, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 9*m**5\/50 - 11*m**4\/10 - 56*m**3\/15 - 4*m**2 + 9*m + 1. Factor f(b).\nAnswer: 2*(b - 5)*(3*b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.2 + -5. Let t = y + -0.4. Let z = 110 + -773\/7. Which is the third smallest value? (a) z (b) -5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 5*b + 1415296, -592*f + 7076408 = -587*f + b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*r + 210 = -52*r - 81*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pplflllflplflf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 - 4 + 104*k - 8 + 3 wrt k.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (10 + -32 + (7 - 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13117244.\nAnswer: 2, 7, 468473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 12. Calculate the common denominator of 44 and (-50)\/(-4)*(-3)\/b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/220 and 199\/10260.\nAnswer: 112860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.3573645 less than 0.1?\nAnswer: 18.4573645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a hour in milliseconds?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2032?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 44*j + 28. Let k be c(-25). Let l = k - -2526. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*f + 31 + 11, -4*f - 5*y = 39. Let r(p) = p**3 + 10*p**2 - 15*p - 1. Give r(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4759?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-4))\/(2\/(-8)). Let j(y) = 4*y**3 - 2*y**2 + y. Let k be j(r). Calculate the remainder when 11 is divided by ((-1)\/(-3))\/(k\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-3 - -2)*(-9)\/(-3). Let m = -6 - -9. Let k be m + (-1)\/2 + -3. Which is the nearest to 0? (a) o (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -942239*1.8\nAnswer: -1696030.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(21\/(-2))*79605\/58. What is the greatest common factor of 75 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946*f**2 - 2814438454 + 2814438454 + 409*f**2.\nAnswer: 2355*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2671790, 2671792, 2671794?\n\"Answer: 2*k + 2671788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(-1\/3)*u*u)\/u*u*u))\/u*u**(-1\/8) assuming u is positive.\nAnswer: u**(-107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17576 is divided by 149.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**5 - 15*s**4 + 35*s**3 + 75*s**2 - 90*s = 0. What is s?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*h + 321, -h + 3*h + 4*x = 210. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(228)*6 - (2*sqrt(228)*-6 + sqrt(228))))\/(-6*(-1*sqrt(108) + sqrt(1452)*2)).\nAnswer: -23*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -37. Calculate the highest common divisor of 819 and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 233304 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1 + (-3 + 4 + 0)*(-3 + 6 - 1))*(-4 + z**2 + 4)*(10 - 10 - 4*z) as j*z + g*z**3 + l*z**2 + t and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16467473 rounded to the nearest 100000?\nAnswer: -16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16111619.84 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -9*r - 2997. What is the remainder when 1052 is divided by r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1611*m - 157885. What is t(-98)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 4\/(-8)*-172. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*c - 14, -3*h = c + 1 + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/b*b*b**(-2\/5)*(b*b**(2\/3)*b)**(-12)*(b*b\/(b\/b**(-1))*(b**(-3\/7)*b)\/b*b)\/((b*b\/b**(-6))\/(b*b**0\/b)) assuming b is positive.\nAnswer: b**(-1534\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 3:36 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 1.7. Let u = -7.3 - -6.8. What is the smallest value in j, u, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/120 - b**5\/10 - b**4\/4 + b**3\/6 + 9*b**2. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2793.165 + -2792. What is n rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9973645857 rounded to four dps?\nAnswer: 0.9974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. What is the derivative of 3 - i + a - 5 wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - -2)) + (-3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*z - 2. Suppose 5*y + 2 = -f, 5*f + y - z - 9 = 0. Suppose 8961*j - 8954*j = 0. Solve -f*g + c - 10 = j, 0 = 2*g - 3*c + c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*v - 38*v + 31*v - 8*v)*(0*v + 0*v + 6*v).\nAnswer: -216*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -22462 bigger than -22462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4418)\/4*(-10)\/(-5515) - -2. Let d = s + -7421\/110300. Find the common denominator of d and 95\/14.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -169*b - 21974. Calculate o(-130).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 1 r when three letters picked without replacement from {r: 1, e: 3, t: 1, k: 2, b: 1, n: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 1. Let c be s(6). Let o = 7 - 6. Let x be -1*11\/o*-1. What is the highest common divisor of c and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = f - 3*k, -2*k + 7 = 4*f - 3. Which is smaller: f or -12\/119?\nAnswer: -12\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 3066 = -3*s. Let h = -8 - s. Let c = h - -421. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**3 + 5*a - 7. Let m(l) = 3*l**3 - 3*l + 4. Calculate 5*m(v) + 3*r(v).\nAnswer: -6*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 + -193. Let t be 9\/3*(-13)\/(-3). Let l be 2*t\/(-18) - -1. Is l smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29080 = -16*q + 46536. What is the greatest common divisor of q and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5250*d**3*z**2 + 84*d**3*z + 2*d**3 + 10686*d**2 - 1595*d*z**2 wrt d?\nAnswer: -31500*z**2 + 504*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1534240238 and 15.\nAnswer: -1534240223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*p - 385 = 2399 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 2:57 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 40. Let u(t) be the first derivative of 0*t**2 - c + 0*t + 1\/16*t**4 + 1\/6*t**3. What is w in u(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10400478 + 2599522. What is a rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1100 by -4.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least -515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 9*r - 15. Let m(j) = -57*j + 6 + 22*j + 0 + 31*j + 1. What is -5*m(s) - 2*o(s)?\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1643 + -1642. Which is the nearest to -1? (a) m (b) -31 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 0.1, -0.4, -2, 5 in decreasing order.\nAnswer: 87, 5, 0.1, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 805 = 2*z + 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5.7, 3\/5 in decreasing order.\nAnswer: 3\/5, -2\/7, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -43*a - 422. What is the least common multiple of 80 and d(-10)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.91889 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 5*i + 1. Let y be g(5). Let s(h) = -12*h**2 - h + 1. Calculate s(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56847\/10 - -5674. Find the common denominator of b and 107\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 9:08 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 6) to base 12.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:47 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, i: 3}. Give prob of sequence bbb.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 210\/100 + (-177)\/(-30). Let v(o) = 9*o**3 + 7*o**2 - 46*o - 5. Is v(p) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(2\/5)*i)\/(i*i**1))**(-27))**(1\/17) assuming i is positive.\nAnswer: i**(-189\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 15. Suppose -2*h + 6 = u + u, i = 2*h - 4*u + 6. Let y be (20*6)\/(h + 1096\/(-1100)). What is y rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 12022?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 5*d**4\/12 - 6*d. Let o be p(-1). Put -7, -2, o in descending order.\nAnswer: o, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -6, -13, -2\/5, 2\/199?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 7, -5*w + 3*u - 14 = 0. Let r = w + 6. Suppose 0 = q + 3, -44 + r = -t + 2*q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*z**2 + 4 - 6 - 2*z**3 - 16*z**2 as x*z**2 + c*z + j + t*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466234479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4219576 divided by 8\nAnswer: 527447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1134 and 4.\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + p + 2. Let b be u(2). Let g = b - 0. Suppose -2*t + g = -t. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 4*w + 3. Let g be m(0). Solve -13 = g*f - 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83 - -10.3?\nAnswer: 11.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 8 - (4 + -2 + 7 + 70 + -77)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 1. Let m(w) = 20*w + 12. Let k(n) = -m(n) + 6*o(n). Give k(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6680 - -12437. Let n = -5757.5437 + v. Let l = n + 0.0017. Round l to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1 + -1 - 1530\/(-90))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25805 - -43993. Is x a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17504.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 1:23 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -52*o**3 + o**2 - 11*o + 16. Calculate the remainder when g(-6) is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 600 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 91 - 91. Let x(z) be the first derivative of -3*z**2\/2 - 5. Calculate f(x(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.494 + -1.094. What is the nearest to -2\/11 in v, 3\/4, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-192)\/30)\/(-8)*-15)\/(8\/(-4508)). What is the highest common divisor of 138 and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1765*d**6 + 1609*d**4 - 9*d**2 - 40*d - 157?\nAnswer: -211800*d**3 + 38616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 1 - (-683 + 635)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = 0. Suppose 34 = 3*x + m, -x = -s*x + 5*m - 2. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 27*d**2 - 467*d - 44. Determine b(39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*s + 15, 2*s - 2*n - 16 = -3*s. Let l = 4565 + -4565. Solve l = s*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {r: 1, p: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-41)\/82 + (-1)\/((-4)\/10). Put 1, q, 7, -5 in decreasing order.\nAnswer: 7, q, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -24, -1.6, 0.3, 2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6464343512.\nAnswer: 2, 11, 73458449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 7*t + u - 29331, 3*t = -5*u + 88001. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 2600?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**5\/4 + 31*u**4\/2 + 153*u**3\/2 - 43*u**2 - 309*u\/4 + 55\/2 = 0.\nAnswer: -11, -10, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*j**3*p**2 - 3*j**3 + 2*j**2*p**3 - 7*j**2 wrt p?\nAnswer: 124*j**3*p + 6*j**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -43404.51 to the nearest 100.\nAnswer: -43400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 684?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-45))\/(1 + 28)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6580421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(5 - 42\/9)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107479, -107327, -107175?\nAnswer: -107023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**4\/24 - 5*q**3\/6 - 2*q**2. Let w = -1 - -3. Let r be (5\/(-3 + w))\/(-1). Give p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9707.64978 and -0.0171521.\nAnswer: -9707.6669321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - k + 5 + 9, 4*k = 2*v - 28. Suppose 0*z - 5*z + 5 = 0. Solve 4*f - 13 = 3*p, 2*p - f + v*f + z = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w = 22441 - 101542. Which is smaller: -1675 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 579520 and 724400.\nAnswer: 2897600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 + 1 - 1 - 5*f**2 + 6*f**2 + f**2 + (-1 - 8*f + 1)*(4*f - 5*f + 0*f) - 2*f**2 + 2*f**2 + f**2 as t + b*f**2 + k*f and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*r**4 - r**3 + 6*r**2 + 211*r - 1351913 wrt r?\nAnswer: 212*r**3 - 3*r**2 + 12*r + 211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 43*y. Let o(t) = 35*t + 280. Give w(o(n)).\nAnswer: 1505*n + 12040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4\/3, -73776, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -45822.203 to the nearest one hundred.\nAnswer: -45800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 44*l**2 - 5*l - 81. List the prime factors of v(-8).\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(35) + (sqrt(245)*2)\/sqrt(7) + sqrt(2240)*2 + sqrt(2240) + sqrt(2240))\/(sqrt(45)\/(-2*sqrt(9))*5).\nAnswer: -14*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52452 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 2)*(1 - 3 + 1) + 3 - 3 - 2 + 1 + 2 - 5 + 3 - 8 + 1)*(-w**5 + 3*w**5 - w**5).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240374 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4460, 4474, 4432, 4280, 3964?\n\"Answer: -9*l**3 + 26*l**2 - l + 4444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/35)\/5*-7 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**3 - 6868*j**2 + 1044976*j + 196081456.\nAnswer: 4*(j - 482)**2*(2*j + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 16 = -s. Let o be (-6)\/4*s\/6. Solve 3\/5*x**o + 0 - 6\/5*x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03626094 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c + 20. Let h = c + 32. Suppose 3*v + 4*j = -2*v + 125, 0 = 5*v - j - 125. Calculate the remainder when v is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 117, 112, 99, 72, 25, -48, -153?\n\"Answer: -m**3 + 2*m**2 - 4*m + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2+29.5\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 81 = -51*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 567*j**4\/4 - 17859*j**3\/2 - 189*j**2 + 17859*j\/2 + 189\/4 = 0. What is j?\nAnswer: -1, -1\/189, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-287)\/(-41) - (-2018)\/(-288))\/(24\/(-9) + 3)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aevgq. What is prob of sequence ega?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 23410000 to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - o + 2*o)*(-o + 0*o - o) + 4*o**2 - 3*o**2 - 2*o**2 + 3*o**2 + 3*o**2 - 2*o**2 + (o + o + 0*o)*(-o + 0 + 0) - 2*o**2 + 5*o**2 - 4*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.53 + 6.51. Round b to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/682913 and 137\/88690?\nAnswer: 6829130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 + 24*d - 20. Determine i(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2558 - 1291 - 1267 + 1433*d**2.\nAnswer: 1433*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 10, m: 9}. Give prob of sequence cml.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4282*t**2 - 21419*t - 27. What is c(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-3) + 1 + -2. Suppose -t + 2*i + 503 = -2*i, i = o. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**3 - 8*q**2 - 11*q + 8. Let x(j) = -2*j**3 - j**2 - j + 1. Let k(c) = -u(c) + 3*x(c). Give k(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -75. Suppose -80 = 20*p - o*p. Solve -5*v + 2*n + 3*n = p, 17 = -4*v + 3*n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334155 (base 8) in base 15?\nAnswer: -7612d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1818.225287703 + -1797.22605646914. Let d = 0.00076787614 + j. Let q = d + -21. What is q rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.6 * 86.\nAnswer: -739.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -5. Let n = -0.226 + 0.2799. Let f = n - 1.0539. Which is the closest to f? (a) 3\/2 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -18*c**2 - 2476*c + 1102. Give q(-138).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - h + (3 - 3 + 1)*(-4*h + 4*h + h) + 2*h + 23*h - 4*h)*(-h + h - h**3) as t*h**4 + z*h**3 + n*h**2 + b + l*h and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -33, 0.1.\nAnswer: -33, -0.2, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0334032 times -7?\nAnswer: 0.2338224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/15 - 62008*y\/5 + 1441872024\/5.\nAnswer: 2*(y - 46506)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*t + 12*t**2 - 2*t**2 - 3*t**2 + 159*t to x*t + i*t**2 + d and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1864 - -2641. Let l = o + -775. Solve l*g = 4*v + 6*g - 8, 0 = -v + 3*g - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -192, -9, 4, -4?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + w + 0*w)*(0 - 1 + 3)*(-106 + 143 + 221) in the form z*w + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - 234\/(-12). Suppose 11*j + 7 + 125 = 0. Let o = j + f. What is the greatest common factor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -280 + 79. Let f = -135 - t. What is the remainder when f is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:27 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/5 - 3*m**3 + 51*m**2\/5 + 63*m\/5.\nAnswer: -3*m*(m - 3)*(m + 1)*(m + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/5 + 11668*z**3\/5 + 316302*z**2\/5 + 1125128*z\/5 + 1078424\/5 = 0.\nAnswer: -23, -2, 5861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00579476 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6702142.\nAnswer: 2, 3351071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.268 less than -179671?\nAnswer: -179675.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b - 1. Let y(i) = -6*i - 1. Suppose 11*k = 4 - 136. Let t = -7 - k. Determine t*h(o) - 2*y(o).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10534013*d - 4047932 wrt d.\nAnswer: -10534013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - c**3 - 3 + c + 2*c**2 + c**2. Let p(v) = 9*v**3 + 205*v**2 + 157*v + 69. Let m be p(-22). Give b(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2525 - -2517. Which is the fourth smallest value? (a) 4 (b) 5 (c) -3 (d) r (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Suppose -5*q + 41 = z*l, 4*l = -2*q - 0*q + 26. Let f(d) = -d**2 + 5*d + 4. Calculate f(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 22 = -30, 5*b - 5*z - 2440 = 0. Calculate the remainder when b is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79939 + 39973 + 39966 + 2346*t.\nAnswer: 2346*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*t + 9040 = 0, t + t - 1793 = -z. Suppose -7*k + 1249 = -z. Suppose -6*g + k = -2*g. What are the prime factors of g?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/((-315)\/98)*10. What is the hundreds digit of (-16)\/p + -6 + 36102\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 not equal to -63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13013 - -25.86987. What is the nearest to 19 in v, -0.3, 3\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from esereerresre?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 2:12 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1747, -14741, -50213, -119467, -233807, -404537, -642961?\nAnswer: -960383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 5*j + (-j + 2*j - 6*j)*(-1 + 6 - 3))*(-1 + 3 + 0) in the form y*j + b and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wurrd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -4. Let q = l + -7. Let y = -0.375 + -0.025. Sort 2\/5, y, q in increasing order.\nAnswer: y, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -202, -209, -220, -235?\n\"Answer: -2*u**2 - u - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9) - 5*sqrt(441))\/(sqrt(24)\/(sqrt(48)\/sqrt(6))).\nAnswer: -68*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2260.4 - 2260. Which is the third smallest value? (a) u (b) -1 (c) 15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - -39 - (-1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 21*v**2 + 27*v - 27. Let y(d) = -d**2 - d + 1. Calculate -2*u(q) - 54*y(q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*w - 1684374, -w - 124816 - 998127 = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l - 2 + 89*l**3 + 6*l**2 - 7*l**2 + 6*l. List the prime factors of h(2).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 2*j - 2*j)*(5 - 5 - 8*j**2).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56370 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 54740715929\/(-28987042680) - 0. Let l = u + -1571\/2327155. Let q = -1\/4152 - l. Find the common denominator of 14\/11 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 5 (c) -157 (d) -5 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) 2\/19 (c) -3292 (d) 2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwm when three letters picked without replacement from aexwemy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5904\/(-2624)*24\/(-1215).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -61. Suppose 3*y - 7 - f = 0. Calculate the common denominator of -19\/6 and 9\/y - 48\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373538*d**3 + 377971*d**2 wrt d.\nAnswer: 2241228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 437 and 171?\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 10) to base 13\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o**5\/5 + 15141*o**4\/5 + 23262*o**3 - 21648*o**2\/5 = 0. Calculate o.\nAnswer: -451, -8, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 - d**5 + 2*d**5 - 3*d**5 + (d**3 - d**5 - d**3)*(10 - 7 - 9).\nAnswer: 4*d**5 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43789471 to the nearest integer?\nAnswer: 6617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 861 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 34*f - 61. Let p be r(18). Let c be 0 - (0 - (-36)\/(-2)). Calculate the remainder when (-4)\/c + p\/9 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 86 + 171 - 7*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -432*t + 4345. Let j be q(10). Solve b + 4 = 3*h, -j*b + 7 = 4*h - 28*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*j**2*k**2 - 5*j**2*k*r + 9*k**2*r - 15*k*r wrt j.\nAnswer: -32*j*k**2 - 10*j*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 49 + 0*c**2 + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 7*u**2\/2 + 27*u + 9. Let g be t(8). Solve g = 3*x + 4*v, 0*x - v = -x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 10. Let l be k(-10). Let s = -393 - -408. What is the tens digit of l\/s*(-3)\/(-12)*-75?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*i**2 - 1 + i - 242*i**2 - 7*i.\nAnswer: 184*i**2 - 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 5*p. Let k be (35 + 19)*(-20)\/(-6). Suppose 0 = 23*i + k - 19. What is m(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 942, 3789, 8586, 15369, 24174?\nAnswer: 35037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 10 + (6 - 19) - -23?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + k. Let s(c) = -2*c**2 - 6*c - 1. Suppose -1 = 4*a + b, a = -0*b - 3*b - 14. Let g(x) = a*r(x) + s(x). Calculate g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -584 or 56?\nAnswer: -584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 0.2, 100, 5, 4, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1732, -1758, -1784, -1810?\nAnswer: -1836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 less than -851?\nAnswer: -850.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 5. Suppose 3*c - c = w. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1566270 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r + 5. Let d(s) = 2020*s**2 + 4*s - 1. Let b be d(r). Let h = b + -31419. Round h to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -417*q + 6. Let s(n) = -1249*n + 21. Let i(l) = -2*s(l) + 7*u(l). Let t(y) = -2*y. Calculate t(i(f)).\nAnswer: 842*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 10*l + 6. Let f be q(-10). Let w(d) = -5*d**2 + 10*d + 1. Let k(h) = -11*h**2 + 21*h + 2. Let v(n) = -4*k(n) + 9*w(n). Give v(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from blltltqblllb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let b be 7 + (q - -2 - 3). What is the highest common factor of b and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -8*j. Which is smaller: -2\/243 or j?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -209, -284, -335, -356?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*21\/12*(0 + -2). Suppose s*a = 5*a + 24. Calculate the smallest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 1. Let n be r(-3). Let s be (n - -4)\/(-4 - -2). Suppose 4 = s*y - 4. Solve -4*q + 3*f = 15, -3*q - 20 = 2*q - y*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 25*k - 92. Let a(u) = 12. Determine -12*a(x) - g(x).\nAnswer: -25*x - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c91 - 16dd?\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4))\/(x\/x**10*x))\/(x**(5\/4)\/x**(-13)) assuming x is positive.\nAnswer: x**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2472360 times -0.04?\nAnswer: -98894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvmhvmmlvhmmlmmhmhv. Give prob of picking 1 v and 3 h.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 2*x + 1. Let l be h(2). Let t(g) = g - 3. Let a be t(l). Suppose a*k = 7 - 3. Solve v = -v + k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11857513 and 8899.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 0 = 7 - 19. Let f be 0 + -2 - 72\/(-40). Which is the biggest value? (a) 17 (b) f (c) -3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 60 = 14*u, -798*u + 803*u + a + 24 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32153)\/2)\/1 - (-5)\/10. Let v be (c\/(-186))\/((-108672)\/3654). Let g = v - 1\/8773. Find the common denominator of -15\/11 and g.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x**2 + 10*x**2 - 6*x. Let a(g) = -8*g**2 + 25*g. Determine 2*a(y) + 9*f(y).\nAnswer: 2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*k - 15 = 0, -1152*k + 1155*k + 3 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2120, -2044, -1924, -1766, -1576, -1360, -1124?\n\"Answer: -s**3 + 28*s**2 - s - 2146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 35 = u, 16*u = -y + 19*u - 7. Suppose -3*f + 0*f + 33 = 0. Let d = y + f. Which is the third biggest value? (a) d (b) -4\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*l + 144 + 1671 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.299 to 0 decimal places.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -16 + 22 + (6 - -5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 0.5 (c) 0.17 (d) 67 (e) 24.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123 - 56*s**2 - 157*s**2 - 111 + 825*s**2 + (2 + s - 2)*(4*s - s + s).\nAnswer: 616*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 3*o**4\/8 - o**3\/3 + 644*o**2. Let h(d) = -d. What is -6*h(r) - l(r)?\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.07, 0.4, -1, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110742333 less than 9?\nAnswer: -110742324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v**3 - 946*v**2 + 1627*v - 6360. Calculate z(-120).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 + 22. Let n(v) = 4*v**3 + 15*v**2 + v + 111. Let u(s) = -5*g(s) + n(s). Suppose -i = 2*d - 4, d = 4*d - 5*i - 32. Calculate u(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7722\/(-10296))\/((-9)\/16*-1*(-460)\/(-6)).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*-1.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4241+-69858\nAnswer: -65617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5 = -32. Suppose -4*l + 82*a = 80*a - 114, -3 = l + 3*a. What is the highest common factor of l and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33549\/14 + 2392. Let i = -114 - -198. Calculate the common denominator of (14\/i)\/(256\/267 - 1) and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3143 = -7378. Let l = d - -383. What is l rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:34 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24513, -24515, -24517, -24519, -24521?\nAnswer: -24523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(133) + 6*((-3*sqrt(133) - sqrt(133)) + sqrt(133)))\/(6*sqrt(7)*1).\nAnswer: -17*sqrt(19)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-3029) + (-211779)\/2097.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 313508*z + 3448346 = 0. What is z?\nAnswer: 11, 156743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**7\/6300 + 13*j**6\/3600 - 7*j**5\/600 + 25*j**4\/8 + 157*j**2. Let d(t) be the second derivative of f(t). Factor d(w).\nAnswer: (w + 7)*(2*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(6\/23)))**31\/(p**3\/p)**(44\/3) assuming p is positive.\nAnswer: p**(-4721\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - 289. Let t = q - -118. Let y be 15\/(-6)*(0 - 9\/(-15)). What is the nearest to 1.5 in y, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joswhjswwwswssls. What is prob of sequence ljhj?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -16*p + 37. Let r(b) = -19*b + 55. Let d(u) = -2*r(u) + 3*s(u). Let v(k) = -21*k + 3. What is -9*d(z) + 4*v(z)?\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226205 by 1354.\nAnswer: 226205\/1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 + 2*m + 981. List the prime factors of q(0).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 19*k - 110. Calculate d(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -26. Suppose 3*j - 48 = -5*l - 208, -4*j = 4*l + 224. Calculate the remainder when ((-108)\/60)\/(4\/j) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2 - q**2 - 2 + 2 + 1. Suppose 5*r = 4*r. What is h(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.12 (b) 0.06 (c) 0.13 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6*-2)\/(5\/(-55)). Let p(q) = 3. Let y(l) = l - 15. Calculate u*p(b) + 2*y(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**2 + 15*t**2 - 2 - 564*t - 2*t**3 + 556*t in the form d*t + y + v*t**2 + p*t**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5646, 1, 298, 3, 2 in decreasing order.\nAnswer: 298, 3, 2, 1, -1, -5646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440\/2 + 7 + (-8 - -3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 596 = -4*v, 0*v + 4*a + 636 = 4*v. Suppose 0 = 3*s + v - 322. What is the smallest common multiple of 16 and s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/15))\/((u*u*u\/u**(-6)*u)\/u))\/(u**4\/(u\/u**(-2\/11))) assuming u is positive.\nAnswer: u**(-1807\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2077 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/9 and ((-12)\/(-126))\/(4\/150)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.45 - -0.45. Which is the third biggest value? (a) 0 (b) -0.2 (c) -0.04 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 170.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i. Let n(w) = -14*w**2 - 6*w. Let v(q) = -q**2 + q. Let s(y) = n(y) + 6*v(y). What is u(s(j))?\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 - 25*j**2. Let z(s) = -8*s + 3. Let m(y) = 19*y - 7. Let f(q) = -6*m(q) - 14*z(q). Calculate k(f(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**3 + 0 + 3\/4*x**4 - 8*x + 0*x**5 + 0*x**2 - 3\/14*x**7 + 0*x**6. What is the third derivative of f(l) wrt l?\nAnswer: -540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -4. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-264)\/(-30) + 2\/10. Let y(t) = -t + 9. Give y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15052*z + 16965*z + 12856*z.\nAnswer: 44873*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21368619 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:54 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1039 divided by -16.\nAnswer: -1039\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*l = -2*r - 561, -5*r + l - 1445 = 0. Let p(w) = -339*w - 101. Let z be p(1). Let g = r - z. What is the greatest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 311, 1, 0.3.\nAnswer: 0.3, 1, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -33*m - 63. Let h(c) = 17*c + 33. Determine -6*g(s) - 11*h(s).\nAnswer: 11*s + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 - 8*a - 11*a + 85.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7262 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 116979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1909 and 16652?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 455?\nAnswer: 45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278 and 7.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -81721.7 to the nearest 100.\nAnswer: -81700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - c = 6, 5*l - 4*c - 26 = -0*l. Suppose 2*k = -4*g + 52, l*k - 44 = -3*g - 2*k. Solve -2*u = 2*u + g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -811, -1621, -2431, -3241, -4051, -4861?\n\"Answer: -810*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*x + 5*x**2 + 0 + 1\/2*x**3.\nAnswer: x*(x + 1)*(x + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45760237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496*f + 31 = 497*f. Solve j + f = 36 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2*y - 9 + 23, 3*c - y + 13 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5619799?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/191?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(3\/5))\/i)\/i**5*(i\/(i*i**(1\/4)*i))**(14\/9))**4 assuming i is positive.\nAnswer: i**(-1142\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3.3, 1\/3, 67.3, 3, -1\/4 in ascending order.\nAnswer: -4, -3.3, -1\/4, 1\/3, 3, 67.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(99)*3 - sqrt(99))*6)\/(sqrt(81)\/(-3*(sqrt(576) - sqrt(9)))) + -3)**2.\nAnswer: 1512*sqrt(11) + 698553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 3. Let s = -52 - -185. Suppose 3*v + s = 10*v. Let m(h) = -v + 4 + 13. Determine 5*m(q) - 3*u(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1255, -2705, -5121, -8503, -12851, -18165, -24445?\n\"Answer: -483*w**2 - w - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46521118300 rounded to the nearest 1000000?\nAnswer: 46521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 2, 5 in ascending order.\nAnswer: 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*y + 25*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*v = 0, 2 + 2 = -k + 2*v. Find the third derivative of n**k + 4*n**5 - 18*n**2 + 0*n**2 - 8*n**5 wrt n.\nAnswer: -240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 48 = -0*c. Suppose 4*i + 0 - c = 0. Is 1*19*(i - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 63?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*c - 35, 0 = -6*d + 3*d - c + 14. Let z = 45 - d. What is the smallest common multiple of z and 3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + q + 3. Let l(u) = u**2 - 6*u + 5. Let a be l(5). Let t be ((-15)\/(-6) - 2)*a. Let m be k(t). Solve -p - 2 = -m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**23\/o**7)**(6\/23))**46 assuming o is positive.\nAnswer: o**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 26*l**2 + 4. Let z(v) = -26*v**2 - v - 5. What is -3*a(r) - 2*z(r)?\nAnswer: -26*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-100))\/(-2)*(-16)\/3584*32?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(10)*-2) - (sqrt(28) + 1*sqrt(28))**2)*-2.\nAnswer: sqrt(7) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + l + 1. Suppose -w - 22 = -5*k, -2*k + w + 12 = k. Suppose -k*t = -4*v - 5, 5*v + 10 = 10*v - 3*t. Calculate b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*4\/14*-7014?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 17*b**2 + 27*b - 46. Give t(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(-1 - 3 + 3)*(-p**2 + 2*p**2 + 0*p**2)*(3 - 6 - 4).\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1473 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 720, 974, 1202, 1398, 1556?\nAnswer: 1670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 13892.\nAnswer: 13900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 11000110010?\nAnswer: -11000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let t(g) = 4*g**x + g**3 + g**2 + 7 + g - 3. Give t(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:30 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -20*m**3 + 13674076*m**2 - 2337253063264*m - 467451159616 = 0.\nAnswer: -1\/5, 341852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115734 is divided by 103.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7717*m - 3142*m + 112*m.\nAnswer: -10747*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*m - 3*f + 16 = -287*m, -2*m = -2*f. Let x = 9 - 6. Put 1\/2, x, m, 0.4 in descending order.\nAnswer: x, m, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30849713?\nAnswer: 17, 61, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*l - 45. What is the highest common factor of 180 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*i)*(-754290*i**3 - 2569*i**4 + 754290*i**3)*(1 + 1 - 4).\nAnswer: 20552*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127929 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4254 - -0.1254. What is the second smallest value in m, -13, -0.04?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 10. Let h be v(7). Let p(s) = s + 33. Let f be p(-14). Let x = h + f. Solve x*u + d = -u - 1, 4 = -4*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from iyyiiiyyyiiiii?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -172*i - 3787. Let y be f(-22). Which is the biggest value? (a) -13 (b) -37 (c) 0.3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/2 - -7)\/(5\/25). Put 5, 72\/5, c in descending order.\nAnswer: 72\/5, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*z - 4*r + 1, 2*z = 5*r + 25. Suppose -9 = z*i - 8*i. Suppose -11 = -2*q + i*j, 5*q - j - 33 - 14 = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21143 is divided by 10165.\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230613259?\nAnswer: 83, 1493, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1163114 - 101?\nAnswer: -1163215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + 7\/(-5). Let x(s) = 2*s**2 + s + 1. Let c be x(-1). Let g(u) = 2*u**c + 0 + 6*u**3 - 1 - 3*u**3. What is g(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.041 + 0.441. What is the nearest to 0.4 in -0.5, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -299 - -203. Let o = 351 - q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 5 - 7*z + z. Let b(i) = 9*i + 6. Let t(j) = 5*b(j) + 6*s(j). Let u = 4 - 3. Let f(o) = o. Give u*t(x) + 5*f(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/218592 and 181\/262548.\nAnswer: 48308832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.57572 decades to millennia.\nAnswer: 0.1157572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43210?\nAnswer: 2, 5, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326 - 266. Solve -h = -43*b + 198 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2 + 6*j - 7 - 3*j - 3*j wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 16. Suppose -2*r - 4 = i, -r + 39 = 2*w. Suppose w = 5*l - 34. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 259716*v**2 + 1298517*v + 1038804.\nAnswer: 3*(v + 1)*(v + 4)*(v + 86567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17167*t - 14550*t + 303572 = 0 for t.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k + 8. Determine a(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/3*84\/(-16). Let j be 2 - (-1)\/((-1)\/v). Calculate the common denominator of 139\/6 and (1164\/32)\/(12\/j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + 11. Let l(r) be the first derivative of 3 - 1 - 10*r**2 + 3*r**2 - o*r**3 + 18*r**3. Find the second derivative of l(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*((-2346)\/17)\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/168 and 1\/221970.\nAnswer: 887880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59636 in 0.1, -2.3, -4\/13?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 + 130*b + 94. Determine a(-15).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -21404 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33567.2 weeks?\nAnswer: 20301442560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*-2)\/(-7 + 6). Suppose w*m = 13*m - 515. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 8 + 8 + 157*c.\nAnswer: 157*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a + 129. Let l be i(0). Suppose 5*z = 4*y + 11 + l, 5*y - 95 = -5*z. Solve 3*s + 23 = -2*c - 0*s, -4*s = c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*c - 8 = -55*c + 2*z, 3*c - 6 = -4*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320 - -512. Let c = 273 - w. Is c a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n + 3*n - 3*n)*(0*n**3 - 2*n**3 + 0*n**3) - 2*n + n**4 - 2*n**2 + 3*n**2 + n**4 - n**4 - 5*n**4 + 2*n**4.\nAnswer: 10*n**4 + n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.596\nAnswer: -2.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.6 + 52.6542. Let c = z + -0.045. What is c rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 8*n + 11. Let t be l(9). Let h be (t\/(-9))\/(7\/14). Which is the biggest value? (a) -2\/11 (b) 4\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + -54. Let j = -3440673.23 + 3440744.2300066. Let l = j + f. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2934.028ug in kilograms?\nAnswer: 0.000002934028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-13)*2760\/(-1150)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2271757.3987 - 122.3.\nAnswer: 2271635.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -85d1b (base 14) to base 8\nAnswer: -1170045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 75*v**5 - 4*v**4 - 4*v**2 + 128*v - 4. Let y(g) = -g**5 + g**4 + g**2 + 1. Let w(f) = r(f) + 4*y(f). What is the second derivative of w(c) wrt c?\nAnswer: 1420*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210321 by -70107.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 + (7 - (-14 + 7)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(162\/234) - (2 - 1)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/(g\/(g*g*g**5*g)))\/g*g))\/(g\/(g**8*g)))**(4\/21))**(-13) assuming g is positive.\nAnswer: g**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1698, 2253, 2862, 3531, 4266, 5073, 5958, 6927?\nAnswer: 7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/3)\/(18\/135). Is w less than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/27175 and 103\/59007795.\nAnswer: 295038975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -196.1\nAnswer: 195.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1554*q**2*y + 2*q**2 - q*y - 270*y + 1 wrt q?\nAnswer: 3108*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s - 14*s - 3*s)*(-s**2 + s**2 + 2*s**2) - 2*s**3 + 4*s - 4*s - 12*s**3 - 129*s**2 + 129*s**2 as z*s + m*s**2 + j*s**3 + c and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -2*y**5\/5 + y**4\/6 + y**3\/2 - 3*y**2\/2 - 2*y. Let z = 89 + -91. What is the units digit of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1562, 3277, 4992, 6707, 8422?\nAnswer: 10137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/(l*l**(-5\/4)))\/l*l)*l)**(2\/3)\/(l**(4\/9)\/(l**(-6\/5)*l)) assuming l is positive.\nAnswer: l**(47\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifeiv. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87 or 1.897?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -51280281628.522\nAnswer: 51280281628.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b**2 - b - 1. Let j(o) = -5*o**3 - 2*o**2 - 8*o - 2. Let s(i) = -4*c(i) + j(i). Calculate s(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 19 - 9 + k**3 + 8*k**3. Let l(b) = 2*b**2. Calculate l(f(o)).\nAnswer: 1458*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -2\/33, 16, 1\/4, 49, 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -0.02, -16, 5 in descending order.\nAnswer: 5, 2, -0.02, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 + 368*t**3 - 1908*t**2 + 3088*t - 1552.\nAnswer: 4*(t - 2)**2*(t - 1)*(t + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 - 453928*n\/3 - 25756328648\/3 = 0. What is n?\nAnswer: -113482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9684, 38754, 87180, 154944, 242028?\nAnswer: 348414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2470*n + 44281. Calculate m(18).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/51)\/((17\/(-306))\/((-6)\/8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = -3*w - 10, -5*t + 10 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0c3 (base 13) in base 2?\nAnswer: -101111100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/5 (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.01 and 19.9.\nAnswer: 59.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -451*u**5 + 146*u**2.\nAnswer: -27060*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 - -129. Let k be 18*(-2)\/8*-2. Let t be k\/(a\/2) - 0. Solve -4*m - 19 = -t*f - 0, -5 = -f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031372624 to 6 dps.\nAnswer: -0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 0.9, -1\/4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 641*w**4 + 289690*w**3 + 3427*w**2 + w + 12156?\nAnswer: 15384*w + 1738140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 4305?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2286? (a) -3 (b) 0.1 (c) -2\/9 (d) 168\/11 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 65728*k**2 + 57 - 30 - 41.\nAnswer: -2*k**3 + 65728*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - i - 12 = 4, -4*x + 5*i - 60 = 10*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -48922?\nAnswer: -3\/24461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/4 + 23001*q**3\/4 + 43728489*q**2\/4 - 1377776493*q\/4.\nAnswer: 3*q*(q - 31)*(q + 3849)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8887481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((sqrt(156) - -3*(sqrt(156) - -2*sqrt(156)))\/(sqrt(24)\/sqrt(2)*6)*6)**2 + 5.\nAnswer: 6509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 356, -2, 1.\nAnswer: -33, -2, 1, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:04 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(sqrt(5) + -1))**2.\nAnswer: -288*sqrt(5) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/112 - 163\/(-4). Let w(j) = -48*j**3 + 34*j**3 - 1 + n*j**3 + 4*j - 5*j. Let y = -9 + 8. What is w(y)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:49 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7712, 7, -0.004, -4\/5 in descending order.\nAnswer: 7712, 7, -0.004, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 3)*(29*t**4 - 54*t**4 - 14*t**4).\nAnswer: 351*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) 273.42 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1218303 (c) 2 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 15 - 12)*(-5*v + 3*v + v) - 4*v + 2*v - v + (-6*v + 3*v + 2*v)*(0 - 4 + 6) - 2*v - 3*v + 4*v to i*v + p and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + 3*w + 10. Let v be m(8). Let c be (v\/3)\/(2\/(-1)). Let s = c - 26. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 1 n when three letters picked without replacement from nzzpozozznso?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-3*sqrt(117) - sqrt(117)) + sqrt(117)))\/(sqrt(9) + sqrt(9) + -4*sqrt(54)\/sqrt(6)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*r - 610*r = 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 60\nAnswer: 31\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + -138. Suppose -6*l + s = -11. Solve 4*v = l*v - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5012479 is divided by 2411?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.8 and -1.87.\nAnswer: 12.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13 + 4*j + 4*j**2 + 3 - j**3 + 4 + 2. Give n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 364.7644821 + -2969\nAnswer: -2604.2355179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 135 + 2*a**3 - 56 - 33 - 30 - 36 + a**2 + 13*a in the form b*a**2 + x*a**3 + f + g*a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/2447163 and -30\/28321.\nAnswer: 545717349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + (-1 - 9\/(-12)). Solve 2*s - 2 + 8 = v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81 - 78. Suppose o + 2*v + 20 = 7*v, -23 = 4*o - v. Sort 1, 4, o, y in increasing order.\nAnswer: o, 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q - 5. Let j(h) = -6*h + 1215. Calculate -2*f(x) - j(x).\nAnswer: 2*x - 1205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*((3*d - 5*d + d)*(4*d - 2*d - 4*d) + (2*d + 4*d - 4*d)*(d - 2*d - 4*d) + 1 - 1 + d**2).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2072 * 4.\nAnswer: -0.8288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + 1b2653?\nAnswer: 1b262a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(343) - -1*(-2 + sqrt(343)) - (sqrt(343) + (sqrt(343) + 2 + sqrt(343))*-3 - sqrt(343))))**2 + -5.\nAnswer: 11200*sqrt(7) + 549195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -205*s + 4. Let n be a(1). Let w = n - -316. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2933*a**2 - 713*a - 33043308.\nAnswer: -5866*a - 713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (22 + -13 + -18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26947?\nAnswer: 26947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 2*m - 2. Let b(u) = -12*u**2 - 5*u + 5. Let q(x) = -6*b(x) - 15*i(x). Let z(h) = -6*h**2. Calculate z(q(w)).\nAnswer: -54*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from {a: 3, l: 11, c: 3, e: 2}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373239694 - 8.93.\nAnswer: -373239702.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 111?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 357 - 55 = 0. Suppose 4*z = 3*b - 7, -2*b + 3 = -3*z - 1. Suppose -3*r = b*g - i, -3*g - 3*r + 2*r + 122 = 0. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(15))\/sqrt(3))**2 - sqrt(35)\/(sqrt(49)\/sqrt(7))) + (-5*2*(2 + sqrt(605)))**2.\nAnswer: 4399*sqrt(5) + 60905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a - k + 6, 4*a - 2*k - 6 = 0. Let w = 0.21 + 0.25. Let h = -2.46 + w. What is the second biggest value in a, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.53735um in meters?\nAnswer: 0.00003653735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {o: 2, j: 9, a: 7}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - (-55)\/35)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-152)\/36 + -4*(-7)\/(-168)*-24. What is the nearest to 0.1 in p, 3, 2\/5, 4\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 6. Let q be x(0). Let r = -1 - q. Let l = r + 14. Calculate the least common multiple of l and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/29)*f*f*f**(-5\/9))\/(f*f*f**(-5)*f)**(-35))**(-2\/79) assuming f is positive.\nAnswer: f**(35300\/20619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*x**3 - 11665792*x**2 + 1014416*x = 0. Calculate x.\nAnswer: 0, 2\/23, 126802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*c = 177*c + 64*c - 5190 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 <= -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -27*q + 13. Suppose 13*g - 176 = -540. Is c(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 23 = 41. Let u(k) = -k**2 - 6*k. Let h be u(d). Suppose -3*l - i + 39 + 113 = h, 2*i + 196 = 4*l. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ick when three letters picked without replacement from {k: 2, q: 4, t: 3, c: 3, i: 4, p: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**4 + 9*t. Let p(q) = -53*q**4 - 3*q - 16*q + 34*q**4. Let b(o) = -6*p(o) - 13*r(o). What is the second derivative of b(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-60)\/8)\/(-1))\/(-4). Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*(sqrt(11) - (sqrt(11) - sqrt(704) - sqrt(11)))).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1377)*2 + -1 + sqrt(1377)))**2 + -2 + -3*sqrt(17)*2 + 4.\nAnswer: -870*sqrt(17) + 198306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/10)*y)**(-19\/6) assuming y is positive.\nAnswer: y**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, j: 10}. What is prob of picking 2 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5648 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.7887227us?\nAnswer: 0.000000029812045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 - -0.38959771?\nAnswer: 0.24959771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207 - -168. Is 3 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 323*b - 1065*b + 348 - 348 in the form f*b + y and give f.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8, -10\/7, 3, 1?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 186 and -12?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 10*t - 7. Let a be (-12)\/16*-2*6. Determine u(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60794\/11 at least 5528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*z + 2*z. Let w = 8 - z. Solve 2\/5*n**2 + w*n + 6\/5*n**3 - 2\/5*n**4 + 0 - 6\/5*n**5 = 0 for n.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 3\/19*w**2 - 23 - 2\/57*w**3 - 4\/19*w. Let k(t) = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34942 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 756 and 75033?\nAnswer: 300132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4876395?\nAnswer: 3, 5, 325093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5541 (base 10) to base 7\nAnswer: -22104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 29*s**2 + 2*s - 24. Let o be a(13). Let h = 4029 + o. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvlbvnllbbqblbqlb. What is prob of picking 1 v, 2 l, and 1 n?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488 or -217?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298 or 637?\nAnswer: 637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b - 10?\nAnswer: -ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -581 - -877. Let m = 294.93 - o. Which is the second biggest value? (a) 6\/7 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -7) + 272\/(-4). Let k = y + 68. Suppose k*t = 2*t + 100. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/15*24\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 425*x**2 + 1240*x - 820 = 0. What is x?\nAnswer: 1, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from aalaaalaaaaaa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.23 + 0.07. Let f = 0 + 2. Let l = f - 2.5. What is the nearest to 1\/3 in v, -0.2, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867*n + 860*n - 2*o - 12 = 0, 4*o = n - 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1080 and (1 + 502\/(-504))\/((120\/(-2492))\/(-1)).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let o be (78 - 104 - 12) + 36. Let x(z) = -9*z - 2. Let v(n) = 1. Let a(c) = 4*v(c) - x(c). Give o*a(r) + 14*l(r).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -10 (c) 5 (d) 36 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 + -7.5. Let v = -9.3 + 10. Let k = v - y. Which is the closest to 2\/9? (a) -2\/3 (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -151?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 504*i**2 - 7228*i.\nAnswer: 4*i*(i - 139)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-6))\/35)\/(8\/56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {f: 2, h: 1, l: 1, a: 2, v: 1, z: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 6*t - q - 2, -5*t + 3*q - 22 = 0. Let h be (24\/(-60))\/(t\/(-130)). Let v = -14 - h. Calculate the highest common factor of 84 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 7*g + 15. Let b be y(0). Let j(h) = 126*h - 147. Let a be j(7). What is the greatest common factor of b and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 9)*(-2)\/5. Let t(v) = 4*v**2 + 13*v + 7. Let r = -37 + 44. Let k(s) = 3*s**2 + 9*s + 5. Let x(z) = r*k(z) - 5*t(z). Determine x(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2204375 - -2204147.9802. Let t = u + 227. What is t rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/12)\/d)\/d**1*(d*d\/(d*d*d\/(d*d*d\/d**(2\/23)*d)))**11 assuming d is positive.\nAnswer: d**(8315\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 3*o + 5 - 1, 0 = -5*f - 3*o + 34 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*12\/(-10)*170\/51*-2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11200?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 2) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (6 - (-1 + -13 + 10)) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 + 771*i + 184316 = 0. What is i?\nAnswer: -649\/5, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 13*q + 4. Let l = 25 + -20. Suppose 0 = w - l*w - 24. Let k be r(w). Let f(p) = p. Calculate f(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from krrzrkrzrzzzrzzrzk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -32 + 4 + (-28 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*a**2*o**3 - 5*a**2*o*v + 50*a*o**4*v + 3*a*o*v - 5*o wrt o.\nAnswer: -42*a**2*o + 600*a*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019257 rounded to 5 decimal places?\nAnswer: 0.00193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12940 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 42*q**2 - 13*q - 34. Let c be x(-19). Let z = 16 - c. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22629115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -233, -384, -595?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.986018 rounded to three dps?\nAnswer: -12.986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-16) - (-1)\/2. Factor -v**2 + b - 5 - 4*v + 0 - 2.\nAnswer: -(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 - 91*u - 7. Give q(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8680432.16 to the nearest one hundred.\nAnswer: -8680400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/24 and -149\/666?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7 + 3 + 5*s + 8 + 19. Let r be n(-7). Solve -r*j + 8 = -2*c, -c = -4*c - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -966099 divided by -1019\nAnswer: 966099\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/11)\/(-2)*-2. Let n be 2\/(-5) + 24\/(-15). Which is the smallest value? (a) 0 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291177111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*f - 138, 5*x = 5*f - 3*f - 356. Let l be (-1 - x)\/((-2)\/(-6)). Suppose i + 5*k + 140 = 0, -l = 2*i - 3*k + 67. Round i to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/((6\/(-718035))\/(4\/(-20))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 10)*(-1 + 0 + 0)*(-3 + 2 + 4)*(-3*n + 6*n - 2*n).\nAnswer: 45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 12. Suppose l = -2*x - 0*x. Sort -3, 2, x in descending order.\nAnswer: 2, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -22. Suppose 133 = m*l + 2*z, 0 = -3*l + l - 2*z + 90. Let w = -20 + l. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**4\/3 + 482*p**3\/3 + 40*p**2.\nAnswer: 2*p**2*(p + 60)*(4*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30540162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*g**3 - 1885*f**3*g - 2*f**2*g**2 - 2*f**2*g + 58*f*g - 8*g**3 wrt f?\nAnswer: -6*g**3 - 11310*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 1 (c) 34.76345\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -4\/1409, -1\/5 in increasing order.\nAnswer: -1\/5, -4\/1409, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2)\/sqrt(10) + 5.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3 and 9\/1501.\nAnswer: 4503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 583 and 424?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.81 to 0 decimal places.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*u - 104*u = 11. Which is smaller: u or 132?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 3, 2, 1 in decreasing order.\nAnswer: 48, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/67899198 and 27\/1191214.\nAnswer: 67899198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 44 = 3*g, -4*g - 106*k + 101*k + 28 = 0. Solve -5*i + 3*b + 61 - 70 = 0, -g = 5*i - 4*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/10 - (-58604)\/130?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 45.07. Let a = -0.0322 - -44.8322. Let c = a - n. What is the biggest value in -8, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let j be 2\/(-8) + (-72)\/(-32). Put j, t, 0 in descending order.\nAnswer: t, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (1 + sqrt(2299) - sqrt(2299)) - (sqrt(2299)*1 + -3)) + 2 + sqrt(2299) + sqrt(2299)*1 + sqrt(2299) + 5)**2*-4 + 2.\nAnswer: -37682 - 2640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - 32\/14. Let a = -690 + 702. Let o(q) = 4 + 2 - 5 - 26*q + a*q + 15*q. Calculate o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039493.\nAnswer: 7, 13, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/210*(-30)\/(-9)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -3) + -2 + 4 + 29. Suppose -n + 18 = -z. Let o = -30 + n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(3 - 0) + 16. Suppose -s*u + 9074 = 1794. Is 65 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmmjmjj. Give prob of picking 3 j.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180050, -179985, -179910, -179819, -179706, -179565?\nAnswer: -179390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2 + 155*m - 149. Determine t(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.672787 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.169\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 6*a + 9. Let l = -1 + -6. Let x be b(l). Solve v = 3 - x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 84700 - -5?\nAnswer: 84705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -59. Let j(h) = -4*h - 2. Let l be j(-2). Suppose l - p = -2*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4082192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 98*p**2 + 629*p - 507. Calculate s(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -244, -217, -174, -109, -16, 111, 278?\n\"Answer: z**3 + 2*z**2 + 14*z - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -162, -3, 2, 1834 in decreasing order.\nAnswer: 1834, 4, 3, 2, -3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:33 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) -22 (c) -1\/4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*k = k + 50, 4*k = -5*y + 5. Suppose -3*w + y*w - 254 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (5 + 3)) + (11 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552920 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -56*y - 22. Let l be r(-3). Suppose 25*b - l = 104. What is the greatest common factor of b and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50, -52, -52, -50, -46?\n\"Answer: c**2 - 5*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*2*3 - sqrt(57)) + sqrt(57) + (-4*(sqrt(57) - sqrt(912)) - sqrt(57)) + sqrt(57))\/(sqrt(75)*1*2).\nAnswer: 9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.778822 millilitres?\nAnswer: 0.001778822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.106 (c) 0 (d) -47 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84107 is divided by 94?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-81 - (-96 - 14))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -54.51496 and 0.01.\nAnswer: -0.5451496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (30 + -35 - -57)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45002 = 1724*o - 680*o + 13682 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*1*(-5)\/90\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3 - o - 5 - o + 4. Suppose b - 3*k + 5*k + 8 = 0, -2 = 2*k. What are the prime factors of c(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*f**3 + 43*f**3 - 9*f**3)*(-14 - 6 + 5 + (1 - 4 + 5)*(5 - 2 - 4)).\nAnswer: -238*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + -19. Let g = -7 - o. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3600597269.\nAnswer: 31, 116148299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 817 - -23?\nAnswer: 83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2681 and 132488509?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.57*-0.01\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44657547 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*1 - (-14 + 11). Let z be y\/4*-3*(-12)\/9. Suppose -z*r + 3*s - 366 = -6*r, -3*r + 262 = -4*s. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.25 (b) 0.7 (c) -0.1 (d) -1\/9 (e) 3\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36892 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3551.046 + 3555. Let t = 0.046 + k. Let q be 7\/14 + 9\/6. Which is the second smallest value? (a) 1 (b) t (c) q (d) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -96. Which is the smallest value? (a) 0 (b) x (c) -1 (d) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + 643\/(-10). Let h = q - -65. What is the nearest to 1 in -0.4, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -748.5.\nAnswer: -142.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let k = 2 - 1.9. Let i = 17 + -33\/2. Which is the nearest to i? (a) j (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.8 + -4.5. Let p = d - -2.7. Which is the smallest value? (a) 0.3 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/48)\/(2 - (-65)\/(-30)). Let x(k) = 125*k**2 - 9*k. Let t(z) = -62*z**2 + 4*z. Calculate h*t(g) - 4*x(g).\nAnswer: 58*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191.54 - 3.54. Let f = 16233.6287 - 16421.62. Let n = f + q. What is n rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 + -8 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 13*q + 3. Let s be l(-4). Let n be (-1)\/s*1*-6. Let g = 4 - 3.5. What is the nearest to -1 in g, 0.02, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r - 49. Let j be h(-2). Let v = 84 + -47. Let s = v + j. Solve -d + 2*a - 3 = -s*d, -3*d - a = -14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 2*r**2 + 2*r + 1. Let c(w) = 2*w**3 + 3*w**2 + 3*w + 1. Let z = -7 + 4. Suppose 5*v - 5*f = 0, 6 = 11*f - 8*f. What is v*c(b) + z*a(b)?\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85718362160.64639978 - 85730681414.0464. Let z = r - -12319254. Let j = -0.6 + z. What is j rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k. Let z be 8\/28 + 19\/7. Let w(s) = -z*s**2 - 6*s**2 + 11*s**2. What is b(w(l))?\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 40. Let f be j(44). What is the lowest common multiple of (((-180)\/(-8))\/(-3))\/((-6)\/f) and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.022 in 0.4, -2\/13, 0.072, 1?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 648 = -2*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056834 to four decimal places.\nAnswer: -0.0568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -31*k**2 + 5*k - 6. Let i be d(1). Let z = i + -18. Let j = -98 - z. Is -49 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2 - -3)*(-1)\/(-1). Let p be o\/(4\/(-39)) - 1\/2. What are the prime factors of 4 - (-72)\/p - (-93)\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*(sqrt(76)*-3 + sqrt(76) + sqrt(76)) + sqrt(76))**2.\nAnswer: 8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 2*l. Suppose 0 = 2*k - k - 2. Let o be (-8)\/6*(-3)\/k. Is l > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, 4, -18, 0.3823?\nAnswer: 0.3823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-935314.\nAnswer: -3741256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 5\/6, 2.508, -0.1 in decreasing order.\nAnswer: 2.508, 5\/6, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 5:59 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54296 is divided by 105?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1725 (b) 3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1443*d + 1. Let w(o) = -8*o**2. What is u(w(k))?\nAnswer: -11544*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -127390 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/102 and 26\/289?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117886 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 34 + 142 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5995452 is divided by 1613.\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((2 - 13) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*f - 14, 3*t + 0*t + 2*f = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = 480*j + 2. Suppose -4*a - 1 = -21. What is the nearest to a in j, 0.6, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 6. Suppose -r + 0*r + m = 0. Which is the nearest to 0? (a) -3 (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, -516, -421, -270, -51, 248, 639, 1134?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5905, -11803, -17701, -23599?\nAnswer: -29497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33646 - 33646 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -8. Is 0 - 2 - d - -57 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139278 is divided by 6957?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11337137 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: Work out -3 - -2431.\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3146*t + 6289*t - 3143*t - 1881*t**3.\nAnswer: -1881*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302340713.\nAnswer: 3, 11, 3853, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 10794*p - 22 = 10792*p, -p = -5*d - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j\/j**(-1\/4))\/j))\/j**3)\/((j**(1\/3)\/j)\/(j*((j*j**(-2))\/j)\/j))*(j**(-2\/23)*j**(-4))\/(j**(3\/4)*j\/j**(-8)) assuming j is positive.\nAnswer: j**(-1271\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 bigger than 1195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13766 and -51944177.1.\nAnswer: -51930411.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 32 = -s. Suppose 3*z - 3*u - 27 = 0, -6 = -2*u - 16. Suppose s = -z*w + 20. Solve 0 = -2*i - 7 - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*p - 79*p = 864. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 30. Calculate the smallest common multiple of l and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*l + 3*l + 8213, 4*l = 5*o + 13676. Let m be o\/40 + 6\/15. Is 17 a factor of -3*3\/18*m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -31\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -21. Let q(z) = 2*z**2 + 6*z + 13. Let y(b) = -b**2 - 3*b - 6. Let p(h) = j*q(h) - 5*y(h). Let w be p(-3). Solve 5 + 3 = w*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12318 + 12362. What is the biggest value in 3\/2, 2, s, 1\/2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2196 + 54896\/25. Which is bigger: x or -0.91?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1009 + 1012. What is the third biggest value in m, 2\/5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20))\/(2\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(189))\/sqrt(9) + 1*(sqrt(84)\/sqrt(4) - sqrt(21)))\/(sqrt(252)*-2).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus -9162961.2?\nAnswer: -9162940.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*t + 239*t + 47 = -b - 0, 3*b = 22*t - 38*t - 79 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 363 - 354. Solve 3*a = -3*k - m, 4*k + k = 4*a - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 5*x + 1. Let t be j(4). Let g(w) = w**3 + 2*w**2 - 3*w. Calculate g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/1176 and -104\/735?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 236645*i - 137418540.\nAnswer: -5*(i - 46741)*(i - 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218868463?\nAnswer: 23, 29, 1827389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081 is divided by 1020?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 12975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*f = 9 + 7, 9 = 3*y + 3*f. Suppose y*a + 3*w = 35, -3*a + 5*w - 15 = -a. Let u(t) = t + 5. List the prime factors of u(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 - 4*m + 1. Suppose -3230 = -18*x - 8. Suppose -188 + x = -3*w. Calculate s(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3474 and -174.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -83907802\nAnswer: -2\/41953901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15637, -61787, -138511, -245815, -383705, -552187, -751267?\nAnswer: -980951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(192) + -6*-3*sqrt(192) - (sqrt(192) + -5 + (sqrt(192) - (-5 + sqrt(192)))))*3 + -2)**2.\nAnswer: -1728*sqrt(3) + 559879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.216, 1, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6552509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -584, -585, -586, -587, -588?\n\"Answer: -b - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(17) + ((-1 + sqrt(17))**2 - sqrt(17))) - sqrt(17)).\nAnswer: -90 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4 - 16 = 0. Suppose 0 = 6*o - 444 + 324. Calculate the remainder when (5 - 2 - 3) + o is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6\/7, 49, -2\/11 in descending order.\nAnswer: 49, 2, -2\/11, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22339071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**3 + 5*l**4 + 8*l + 3*l**3 - 13*l**3 - 2*l - 1 + 5*l**3 in the form f*l + a*l**4 + o*l**2 + k*l**3 + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/45 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 - 7.56. Let s = -0.14 + m. Round s to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z + 4*z + 13851. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - ((-30)\/(-7) - (7 - 3)). Which is the second smallest value? (a) g (b) 0.4 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -26*g + 21*g - 11, -5 = 2*g + d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5085)\/(-6780))\/((-1)\/((-32)\/2556)).\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 5 + -12 + 11 + -12 + 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1334*d**3 - 675*d**3 - 649*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 1807*y + 16.\nAnswer: 1807*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 24 = -4*n + 3*n, -n - 24 = 4*x. Let p = 24 + n. Suppose 5*c + p*c = 165. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336050.\nAnswer: 2, 5, 11, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2022883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223989, -223987, -223991, -224001, -224017, -224039?\nAnswer: -224067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -2) - (-3 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -11\/4 (c) 0.2 (d) 178 (e) 0.05 (f) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1088754941 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 3*z**2 - z. Let k be m(-3). Let y = k - 106. Solve y*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-6)*(-1050400)\/80?\nAnswer: 5, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) + (-31710)\/50. Suppose -20*w - 12 + 112 = 0. Is (f\/8)\/(w\/(-20)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 5 (b) -44 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*i - 14, -14*t - 2 = -13*t - 2*i. Let l be t\/7 - (-16192)\/161. Round l to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 25 - 125 = 0. Let u be 0 - (5*-5 + 1). Let v = u - x. Are v and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*-2*6*1)**2.\nAnswer: 77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + 94*f**3 - 363*f**2 + 270*f.\nAnswer: -f*(f - 90)*(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -62. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098135?\nAnswer: 3, 5, 23, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + f = -59, 0 = -0*f + 2*f + 10. Let d = -16 - b. Suppose 15*i + d = 17*i. Let w(p) = 2*p. Give w(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31131436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5289629508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(750))\/sqrt(3) + sqrt(10) + sqrt(70)\/sqrt(7)*-4)\/(-3*-6*sqrt(288)).\nAnswer: -7*sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -6. Suppose 3*n - 4 = p*z - 17, 4*n = -12. Suppose r = -3*a + 33, -z*a + 5*r - 3 = -8. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 51*l + 1. Let q(w) = -55981*w**2. Determine m(q(j)).\nAnswer: -2855031*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.084 - 0.084. Let q = -49.308 + -0.692. Let t = w + q. Which is the smallest value? (a) -0.1 (b) 4\/7 (c) 0.3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.59, -0.4, -15\/17, -2\/3 in decreasing order.\nAnswer: 0.59, -0.4, -2\/3, -15\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/(-4) - 8984\/3584)*-74 and -21\/256.\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10*w + 8 = 0. Let t(n) be the second derivative of -3\/2*n**w - 3*n + 1\/2*n**3 + 0. What is t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f + 4. Suppose -2*i + 342 = -2*o + 354, -o = 3*i + 6. Calculate y(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -62. Let p = -32 - x. What is the remainder when 96 is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/4))**(3\/16)*k**(-13)\/k**(-2\/7))**16 assuming k is positive.\nAnswer: k**(-5843\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42990.\nAnswer: 2, 3, 5, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 16 = -5*b, 20 = 51*b - 56*b + 5*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -1\/120*x**6 + 2*x**2 + 1\/60*x**5 - 4\/3*x**3 + 0*x**4 + 13 + 0*x. Determine h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2070 = 27*i - 9*i. Suppose 110*n + 2*w + 2590 = i*n, 4*n = w + 2072. Calculate the remainder when n is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*n = -500*n - 24. Let m(d) = 20*d - 303. Let y(w) = 39*w - 608. Let c(t) = n*y(t) + 13*m(t). Differentiate c(h) with respect to h.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5551065 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957 is divided by 50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2067 + -1948. Suppose 2*y - 329 + 85 = 0. Is y > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-446)\/7 - 6\/(-21). Suppose -y = -j + 4*p, -186 = -3*j - 4*p - 0*p. Suppose 3*a = -a - c + j, 3*c + 86 = 5*a. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 32*a**2 + 3*a - 84. What is the remainder when 128 is divided by z(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660800471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3342 at least as big as -3365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -5\/6, -5, -1.59, -7 in decreasing order.\nAnswer: 0.03, -5\/6, -1.59, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 20*w - 200 = 0. Suppose -5*x - 5*a - w = 0, -5*a + 12 = -2*x - 4. Let s(j) = -j**2 - 7*j + 11. Let i be s(x). Solve -o - i*o = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - 3*x + x)*(3652 - 5984 + 4017 + 4 - 2 + 0 + 0 - 2 + 0 + (3 - 3 - 1)*(1 + 2 - 1) - 5 + 0 + 3) as d*x + g and give d.\nAnswer: -1681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k + 17*k + 2*k)*(5 - 4 + 0) + 2*k - k + k.\nAnswer: 37*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13. Suppose -3*t + 8*t + 5*g = -35, -t - h*g - 10 = 0. Let y be ((-2)\/t)\/(8\/208). Solve 0*i + 5*a = -2*i + y, -5*a = i - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250312660*r**3*x*y**2 + 172*r**2*x*y**2 + 31386*r**2*y + 5*r*x wrt r?\nAnswer: -1501875960*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 120, 117, 114, 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 + -10. Let m = s - -3.1. Let p be (-5)\/6*24\/(-80). Is p smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b, -5*b - 2 - 2 = m. Let y(r) = -4*r - 4. Calculate the least common multiple of y(m) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53875*11.96.\nAnswer: 644345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355196 = -26*n - 30196. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 6 - 6 - 13) + 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 times 0.1?\nAnswer: 147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 52?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1529 (base 12) to base 8\nAnswer: 4661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 1. Let b(z) = -16*z - 6. Let j = 114 - 78. Let i be 101\/9 + (-8)\/j. Let p(s) = i*r(s) + 2*b(s). Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236503153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206606?\nAnswer: 2, 19, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 - f**3\/3 - f**2\/2 + 2*f. Suppose 5*m = -2*l + 13, -10 = l - 4*m + m. Let g be y(l). Solve 0*q + g*q + 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334504 (base 6) in base 4?\nAnswer: 102102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/27772 and 123\/5240.\nAnswer: 277720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-45)\/(-9) + (-1 - 15\/(-5))*20. Solve -z*k = -55*k + 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43224 + 89443. List the prime factors of m.\nAnswer: 46219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*i + 100*i + 304*i as l*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/37? (a) -1.6 (b) -28 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8810480 to the nearest integer?\nAnswer: 2968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 11. Let r(k) = k**2 + 3*k - 2. Let g be r(-4). Suppose 0 = -5*q - 4*v + 22, 4*q + g*v + 9 = 23. Put q, n, 0 in descending order.\nAnswer: q, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o + c + 1 = 0, 0 = -5*o - 2*c - 2. Suppose -3*s + 6 = -q + 5*q, -s + 3*q - 11 = o. Is s > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45964?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 529*c**3*n - 263*c**3 wrt n.\nAnswer: 529*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725965?\nAnswer: 5, 145193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5589 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1697 + 5449 = -12450. Is v less than 9799\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10549 + 10548.6. Let f be 10\/4*4\/(-6). Sort d, -3\/8, -0.2, f.\nAnswer: f, d, -3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6187467*r**3 - 4999276 wrt r.\nAnswer: 18562401*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -5*s**4\/2 - 2*s**3\/3 + s - 6. Let p be t(-1). Solve 3*o - 4*l - 22 = 0, -2*o + p*l = 4*l - 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 19191699.\nAnswer: -5\/19191699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2669838.9 months to centuries.\nAnswer: 2224.86575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5196, 10392, 15588, 20784, 25980?\n\"Answer: 5196*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/(k*k**(2\/43)))\/(((k**3*k)\/k)\/k*(k\/(k**(-7\/5)*k))\/k) assuming k is positive.\nAnswer: k**(-1171\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 83*y + 235. What is o(-3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**6 + 4*w**4 - 2*w**3 - 9*w**2 + 4*w + 5. Let k(c) = c**4 - c**3 + c + 1. Let z(p) = -4*k(p) + x(p). What is the third derivative of z(b) wrt b?\nAnswer: -600*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006799972?\nAnswer: 2, 11, 5507, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448) + (sqrt(448) - ((sqrt(448) - (3*-1*sqrt(448) - sqrt(448))) + sqrt(448))))**2.\nAnswer: -28672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w**2 + 929*w - 929*w - 2*w**2.\nAnswer: -57*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 637\/392*(8 + -16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228816998 to the power of 1\/3, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10681062 is divided by 322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21101*t + 18253*t + 12674*t)*(0*t**2 + 0*t**2 - 3*t**2) to the form q + w*t**3 + n*t**2 + r*t and give w.\nAnswer: -29478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -242 - -10906?\nAnswer: 10664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6 - 315*a**5 - 126*a**3 + 2020*a**2 - 1662 wrt a?\nAnswer: -600*a**3 - 18900*a**2 - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/45 - 2\/45. Let a = 73 - 78.015. Let g = 0.015 + a. Sort x, 2, g in descending order.\nAnswer: 2, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67330 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13515, 1\/2, -16 in descending order.\nAnswer: 13515, 1\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-5)*(-1)\/(-1))\/(-5). Let f = -9 + 7. Which is the second smallest value? (a) -8 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g - 6. Suppose -2*p = 2*a - 10, 4*p - 2*p + 4*a = 12. Calculate the smallest common multiple of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -738.73 and -1733.1.\nAnswer: -2471.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572658960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 5:44 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443914 is divided by 8704?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/40 and 117\/410?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n - 106*n + 232*n - 1343 - 1712 = 0 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 141, -78, -8 in descending order.\nAnswer: 141, 27, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1155455*k**5 + 32425*k wrt k.\nAnswer: 23109100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18699, -37399, -56099, -74799, -93499, -112199?\nAnswer: -130899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113043\/4 - 9043323\/320. Calculate the common denominator of u and -61\/768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 - 2*g**2 + 2*g**2)*(-894*g - 346*g + 188*g) as f*g**2 + y + k*g**3 + s*g and give k.\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 56*i**2 - 159*i + 3. Calculate a(-53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 2}. What is prob of sequence ovv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01964625 rounded to four dps?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20121 + -1112?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 - (-6 - 8 - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzazaww. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 257166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 4. Give o(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699015680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.1. Let t(b) = 2*b**2 + 9*b - 5. Let g be t(-5). Put g, o, -0.1 in ascending order.\nAnswer: o, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 12*v**3 + 4*v - 6*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -8.3, 15, -65, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 k when four letters picked without replacement from nkdkekdddkv.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263498586 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2499\/(-63))\/17*4\/(-42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**2 - 58572*z - 292760 = 0?\nAnswer: -14638, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10028662 is divided by 2635?\nAnswer: 2487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4129 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h + 23. Determine r(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -118, -260, -466, -742, -1094?\n\"Answer: -m**3 - 23*m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -2. Let y(d) be the first derivative of -d**4\/12 - 5*d**3\/6 + 4*d**2 - 127*d - 271. Let q(o) be the first derivative of y(o). Calculate q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 5968.\nAnswer: 11936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30841055 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096460855 to the power of 1\/2, to the nearest integer?\nAnswer: 33113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26645161\/3 > 8881720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 612 (base 12) to base 9\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = 1145\/234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -146\/41?\nAnswer: -146\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 + 51. Let z be 1604\/(-16)*(2 + l). Let i = 2015 - z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3455207340 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(77)*2*-6 + (sqrt(77) - (sqrt(77) + sqrt(77)*1)*-5))\/(-3*sqrt(700)*2).\nAnswer: -sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**3\/3 - 5*k**2\/2 - 10*k + 7. Does 24 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -118 - 92. Let f = p + 212. Solve -2 + 0 = f*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 5*d - 3*d. Calculate the lowest common multiple of d and 90.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 44*n + 161. Let v be w(-42). Sort 4, 1, v, -5.\nAnswer: -5, 1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r*r**(-3)*r)\/(r*r*r\/r**(2\/9)*r)**(-1\/2))\/(r**(-7)\/(r*r**(2\/5))*(r*r**(-2\/17)*r)\/r**(2\/3)) assuming r is positive.\nAnswer: r**(12296\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 2, -3, -13 in descending order.\nAnswer: 2, -3, -13, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2708, -2680, -2642, -2594, -2536, -2468, -2390?\n\"Answer: 5*l**2 + 13*l - 2726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-2 + -7 + 13 + 2 + -5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjjjxxjjjjj. Give prob of picking 3 j.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c0 (base 13) to base 6.\nAnswer: 10552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -9. Suppose q = 3*a - 44. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 - 3*b**2 + 3*b + 61. Let y(z) = -z**3 - z**2 + z + 20. Let k(o) = 4*n(o) - 11*y(o). What are the prime factors of k(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3 = -1. Let l be 3\/6*4 + b. Suppose l = -p + 6*p + 5*w - 35, 4*p - w - 3 = 0. Calculate the remainder when 5 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14743680 divided by 240\nAnswer: -61432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 2. Suppose -2*r - 4 = i + 3*r, i - 5*r - 6 = 0. Let b be x(i). Suppose -8*f + 21 = -b*f. Calculate the least common multiple of 3 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 + f**2 - f**2 + (-1 + 2 + 2)*(-f**3 - 2 + 2) + 0*f**3 + 4*f**3 - 3*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let o(a) = -5*a**3 + l*a**2 + a**3 - 2*a**2 + 2*a**3 + 1 + 2*a. Determine o(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3\/((-3)\/(-2)). Let g(b) = 2*b - 5. Let a be g(w). Sort 0, a, -3 in increasing order.\nAnswer: -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12428, -17, 5, 0.3, 3, -0.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91730 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 + 49*v**2 - 32*v + 29. Give p(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8555 - 3804. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -15*k**4\/2 - 29*k - 42. Differentiate z(v) with respect to v.\nAnswer: -90*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 37016511?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8760)\/(-7300))\/(-10*(-13)\/(-13)*1\/1)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276877673?\nAnswer: 97, 359, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 447.4376 millimeters?\nAnswer: 447437.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4342039*w - 4852574?\nAnswer: -4342039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207281*v - 464636?\nAnswer: -207281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 59. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.618913 - 17.381113. Let j = 24 + u. What is j rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8237, 8236, 8235, 8234, 8233, 8232?\nAnswer: 8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-6))\/((-8)\/12).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 5*c - 3*c + 97065. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 16*x - 14*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1794412 and 60064?\nAnswer: 14355296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - c - 3. Let k be l(3). Solve -3*p - k = 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7420751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050858 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -28 - -3) + 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 11*t**2 + 18*t - 4. Let v(x) = 5*x**2 + 9*x - 2. Let q(w) = 9*v(w) - 4*y(w). Let j be q(-9). Let a(i) = i**3 + 2*i**2 - i - 1. Calculate a(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v + 65 = 5*d, 2*d = -5*v - 1. Suppose -d*r + 4 = -10*r. Suppose 4*x = r*x, -4*x = -4*j + 12. Solve -j*s + 0*z = -z - 14, -5*s + 3*z = -26 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 - 3*j + 2618. Let w be h(0). Suppose -17*z + 3*z = -w. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1662 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + (19 + 0 - -2 - -115)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 494 - 3425. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 30*x - 5*b - 39649 = 0, 4*b - 19857 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, -52, -328, -704, -1174?\n\"Answer: g**3 - 59*g**2 + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*a + 60*a + 5. Solve -r = 4 - a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92400 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9427984143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 - 4*z + 2. Let a be f(2). Let h be a*3*2\/(-4). Is ((-88)\/6)\/(2\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -2. Let z be (-235)\/(-15) + (-4)\/d. Suppose 2*n - 29 = -3*t + 4, -n - 3*t + z = 0. What is the remainder when 52 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7621, -15070, -22521, -29974, -37429, -44886, -52345?\nAnswer: -59806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.225? (a) -2\/5 (b) 10356 (c) -1\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14027120 (base 9) to base 3\nAnswer: -111000221010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3 - 144*s**2 - 590*s - 258.\nAnswer: 2*(s + 3)*(2*s - 43)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 42.99. Let d = y - -0.51. Which is the biggest value? (a) d (b) -12 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + 29*p + 28. Let f be t(16). Let b be 4\/f*(-5)\/(-2). What is the second smallest value in 0.2, 4, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 26. Sort -1\/4, -2.2, f in increasing order.\nAnswer: -2.2, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) 1\/4 (c) 0.185 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k = 116 - 8 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 + -61. Solve c = 5*a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3200, -15981, -37282, -67103, -105444?\nAnswer: -152305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046394224 to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 69. Let s(d) = -3*d + 142. What is the remainder when v is divided by s(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/42*(-30)\/(-24)*(-30)\/25\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:54 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8, 21, 34, 47, 60, 73?\n\"Answer: 13*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = 16*a + 318978. Suppose 5 = -5*i, 7*l + 2*i = 3*l + a. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-12)*(-206)\/(-10)*27\/(81\/5)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6 - (6 + (-512)\/(-32) + 2325\/(-110))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 7. Let s be u(-7). Suppose 3*n - 24 + 9 = s. Let c be n + -1 - (-4 + 4). Solve 0 = -v + c*y - 3 - 18, 3*y - 22 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*a**2 - 12*a**2 + 0*a**2)*(3*a - 2*a + 0*a) - 3*a**3 + 4*a**3 + 4*a**3.\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -216, -411, -716, -1167, -1800, -2651, -3756?\nAnswer: -5151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -61*f**7\/7 + f**3\/2 + 111*f**2\/2 - 1674*f. What is the second derivative of h(j) wrt j?\nAnswer: -7320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 2*d**2 + 27*d - 18. Let a be h(6). Suppose -39*b + 3 - 3 = a. Solve b = 4*f - 21 + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38*77\/42427)\/1?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 12. Let m be (j\/15)\/((-2)\/5). Let y(v) = -v**2 + v + 1. Let q(l) = 3*l**2 - 4*l - 4. Determine m*y(d) + q(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 2, -2, -4 in ascending order.\nAnswer: -41, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17671921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1798*-77460\nAnswer: 139273080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108705\/56 + -3881\/2. Find the common denominator of 25\/28 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -241, -418, -671, -1006, -1429?\nAnswer: -1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {a: 3, p: 4, z: 1, v: 1, d: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 819000 = -32*i. What is i rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*l = 9979 - 19897 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 5*s**2 - 4*s - 8. Give g(7).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1982834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -174.8, 4, -0.93, 1\/7 in decreasing order.\nAnswer: 4, 1\/7, -0.93, -174.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -2 + 22 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*10\/(-110) + 2. Let c(i) = -3*i**2 + 1. Determine c(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c + c**3 - 4*c**3 + 2*c wrt c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1352*o. Let d(w) = 3*w**2. Determine d(l(k)).\nAnswer: 5483712*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8873\/154 + -644\/11. Let n = -869\/434 - -268\/31. Calculate the common denominator of n and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/42*(-9)\/(-606). Let u = -205\/606 - f. What is the closest to u in -0.7, 5, 0.2, 1\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 + i - 8. Let p(v) = -v**2 - 4. Determine -2*n(f) + 5*p(f).\nAnswer: f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46039\/8 + 5744. Find the common denominator of z and (-93)\/(-4) + (-3)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/22*((-56)\/7)\/(-32).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.21 - -50. Let a = 8.79 - b. Let o = a + -8. What is the smallest value in 0.4, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + 45\/3. Let w = v - 14. Solve -23 = w*d + 4*z + 3, 0 = 4*d + 5*z + 37 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -9*y + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15183 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 88921291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 + -73. Let o be (s + -7)\/((-3)\/(-24)). Let k = o + -142. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-3)\/((-12)\/(-7250))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/8*16\/(-3). Let c = -7 + g. What is the remainder when 12 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2 + 13. Let s = -689 + 687. Let o(z) = 4*z**3 - 7*z**2 + 40. Give s*o(w) + 7*r(w).\nAnswer: -w**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 250667 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 - 69729967*k\/3 - 4862268297821089\/6.\nAnswer: -(k + 69729967)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*y - 4*z, -3*y - 103 = 3*z - 121. Let d(b) be the third derivative of 0 + 1\/10*b**5 + 0*b - 1\/40*b**6 + y*b**3 - 1\/8*b**4 - 3*b**2. Factor d(w).\nAnswer: -3*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -30. Let y = -60 + 60.4. What is the second biggest value in y, q, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(6*sqrt(144) - sqrt(9)).\nAnswer: sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/18 + 1)*-3)\/(25\/(-400))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165738*f**3 - 165868*f**3 + 331569*f**3.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. What is the third biggest value in -1, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299\/1164 + 2\/291. Let j be (-4)\/(3 - 0 - 2). Which is the closest to y? (a) -3 (b) j (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4637 = 24*g - 1315. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.6 - 31. Let y = g + -0.8. Let u = -3.44 + y. What is u rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 119\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4569 + 1910 + 4502 + 866 - 2857)*(-d**2 - d**2 + 4*d**2) in the form n*d**2 + h + o*d and give n.\nAnswer: 17980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/(4\/(-74)). Let q = f + 46. Let i = 4.02508 + -0.02508. What is the nearest to -3 in -1\/5, q, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 30. Let z = -30 + b. Let l = z - 8. Calculate the greatest common factor of 10 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5701.441 seconds?\nAnswer: 5701441000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-10))\/6*2\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 165 = 155. Suppose -u*g + 10 = -31*g. Suppose -g*n = -7*n - 24. Let z(a) = -a**3 + 7*a**2 + 9*a + 11. Determine z(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 36*g + 24*g + 168 = 0. What is the remainder when 440 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 5*k**3\/6 + k**2 + k. Suppose -y - 12 = -4*y. Let r(p) = 0 + y*p - 2 - 1 + 5. Determine 3*o(c) - 4*r(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*s - 668 + 668)*(0 - 1 + 2).\nAnswer: 103*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(165\/(-414)) - (-12)\/22.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 6 = 12*v. Suppose -8*o + v*o + 20 = 0. Suppose o*a - 136 = 5*s - 41, -s = -3*a + 63. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-13 + 6 + 10) - -16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 204, 9782, 19360?\n\"Answer: 9578*y - 9374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25305*r - 25300*r - 65 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12394803 by 3.\nAnswer: 4131601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*w + 5*l, -4*l = 4*w - 2*l - 10. Let j = -1 - w. What is the biggest value in -0.5, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3421*n**3*w**2 - 33738394*n**3 + n*v - 731*v*w - v - 44*w**4 wrt w?\nAnswer: 6842*n**3*w - 731*v - 176*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4480325 divided by 52?\nAnswer: 4480325\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590931.\nAnswer: 3, 11, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(130)\/sqrt(90)*2.\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 3*w)*(-6 + 4*w**3 + 0 + 0*w**3).\nAnswer: 8*w**4 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10552185 * -0.2.\nAnswer: 2110437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -288 - -287.999295. What is y rounded to 5 dps?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/16)*y*y**(-25)\/y*y*y*y*y**(-7)*y*y*y**3 assuming y is positive.\nAnswer: y**(-383\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**5 - 4*k**3 + 17*k**2 - 14506*k.\nAnswer: -100*k**3 - 24*k + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -468804, -937606, -1406406, -1875204?\n\"Answer: m**2 - 468805*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qpqqpp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 500566 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -84408084 less than or equal to -84408084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -68, -67, -66, -65?\n\"Answer: b - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14496 divided by -3624?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 439661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a (base 12) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/3)\/(40\/16). Suppose 26 - 18 = -2*n. Put n, 7, u in decreasing order.\nAnswer: 7, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8118 + 15479. Suppose 12*p = -1759 - g. Round p to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -224 + 224.7. Let t = 556 - 548. Which is the fourth smallest value? (a) 1\/3 (b) o (c) t (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -351 (b) 4\/3 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -28. What is the tens digit of t*1\/(-2)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678178?\nAnswer: 2, 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - ((-9 - (-13 + -7)) + -17 - -8)) + -44.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -645, 0.4, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 + h. Let d be s(1). Let w = -5 - -9. Suppose 0 = -7*m + 3*m + w. Is m != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - 1037a?\nAnswer: -10369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/167 + -1253\/13861. Let p = s + 4637\/747. Calculate the common denominator of 131\/24 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 2*u**2 - u**3 + (u - u + 5*u**2)*(1 - 3 + 4 - 4*u)*(-1 - 6 + 4).\nAnswer: 59*u**3 - 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 26*f - 435. Calculate the smallest common multiple of 5 and p(17).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5 = -1, m - 3 = 2*l. What is the third biggest value in l, -2, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004985173219 rounded to 7 dps?\nAnswer: 0.0000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-5) + (-10)\/(-15)*15. What are the prime factors of 1938\/2 - (1 - -5 - s)?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -100053*m + 500275. Determine q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220647 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1 - 6. Let x be 15\/10*(-784)\/(-24). What is the highest common divisor of n and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/23 or -1\/4?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + -14 - -3) + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 - -8 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24)*-3)\/(7\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 0*z - z**2 - z + 5*z. Let h be t(4). Let d = h - 10\/7. Find the common denominator of d and 89\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30715 - 127794 = 13*m. Let i = -4046 - m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 6*z - 12*z + (-2*z + 2*z + 2*z + 3*z - z - 4*z + (0*z + 0*z + z)*(2 - 3 + 0))*(-1 + 3 + 0) in the form y + f*z and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggkgagfkuu. What is prob of picking 1 k and 1 g?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.12, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142422534 + -3?\nAnswer: -142422541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 0.25761394483?\nAnswer: 2.25761394483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 26*i**2 + 616*i + 4162. Calculate s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, -3, 1, -0.24, 0.5, -4\/35 in increasing order.\nAnswer: -3, -0.24, -4\/35, 2\/25, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -14, -2, -18, -4.\nAnswer: -18, -14, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**2\/2 - 66. Let j(z) = -63*z**2. What is j(o(h))?\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + p + 0*p + (-4 + p + 4)*(-5 + 1 + 2) - 4*p - 2*p + 7*p + 2*p + 30 - 3*p + 3*p - 2*p - 48 - 125 + 45.\nAnswer: p - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212995.4 tonnes to kilograms.\nAnswer: 212995400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + 3*k**3 - k**3 + (4*k**2 - 3*k**2 + 0*k**2)*(-1086*k + 1691 - 1691) to o*k**2 + j*k + z*k**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 1, z: 1, q: 3, n: 2, a: 5}. Give prob of sequence qn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076262 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000100 + -10000111?\nAnswer: -11001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 288 - 325 - (-3 - 22)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9206572 and 58.\nAnswer: 9206572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*w + 576 = 0, -3*s + 2367 = -4*w + 544. List the prime factors of s.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*f**2 + 68*f**2 - 226*f**2.\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -36046040 divided by 2?\nAnswer: -18023020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + j + 4*j - 9, 3*f - 14 = -2*j. Factor -3*n**5 + 6*n**5 + 0*n - 6*n**3 - 3*n**f - 3 + 3*n + 6*n**2.\nAnswer: 3*(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*n - 5. Solve 0 = 6*h - 2*h + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137122, -274254, -411388, -548524?\nAnswer: -685662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28961817 to the power of 1\/2, to the nearest integer?\nAnswer: 5382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 24*t + 17 + 6 = 8*t, 4*t - 2*t + 86 = -12*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28, 297, 2, 7, 0, 5 in ascending order.\nAnswer: -2, 0, 2, 5, 7, 28, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 4*t + 5*t. Let l be v(-2). Factor -l*g + g**2 - g + 4*g.\nAnswer: g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 - 19 = -4*j, -3*j - i = -43. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 2*q**2 - 4*q**2)*(q + 6 + 4 + 1).\nAnswer: -2*q**3 - 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236487507?\nAnswer: 3, 89, 885721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2429699319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = -43*w + 44*w, 5*v = 2*w - 28. Suppose w*h + 0*k - 5*k = 19403, -4*h = -4*k - 19400. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41312 is divided by 5156.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 431?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19)**(-6)\/(((h*h**(-2\/7))\/h*h)\/(h*h**(-3\/28)*h)) assuming h is positive.\nAnswer: h**(-3159\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {b: 3, k: 8, l: 3, t: 1, p: 3}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -997391?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-1*sqrt(225))\/(sqrt(27)*-1) - (-5 + sqrt(30)\/((sqrt(70)*-2)\/sqrt(7)))).\nAnswer: 2 + 13*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) 8\/9 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5474 (base 10) to base 14\nAnswer: 1dd0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/5 < 20040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/3 + 12\/(-18). Let r = t - 5. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.99 - 7.1. Let a = f + 0.11. What is the nearest to 0 in a, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 52 + 44. Let a(i) = 6*i**3 - 2*i**2 + 2*i - 2. Let j(n) = -7*n**3 + 3*n**2 - 3*n + 3. Calculate s*j(l) + 6*a(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 455124829.\nAnswer: 455124828.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 10.705165.\nAnswer: 10.205165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 1. Let f be (-2)\/(4\/(-6))*-1. Let i be z(f). What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143 or -144?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -379*k + 10027 - 17228 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9*3\/(-20). Let h(m) be the second derivative of -1\/6*m**4 - c*m**5 + 1\/3*m**3 + 2*m + 0 + m**2. Suppose h(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(-50)\/(h**0)**(22\/3))\/(h**(-5)\/h**(-4))**(-37\/5) assuming h is positive.\nAnswer: h**(-537\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 2 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 30*q - 27 to the form d*q + t and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -146614.\nAnswer: -146614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61166168 by 56.\nAnswer: 1092253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (-28 - -7) + 10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 1}. What is prob of sequence ddd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 481*t + 1229*t - 27360 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, -11\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 14. Let x be (((-8)\/(-3))\/(-8))\/(1\/(-33)). Let g be t(x). Solve -2*c + g*c + 5 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -117*y + 295*y - 99*y - 85*y. Let w(j) = 5*j**2 + 2*j**2 + 2*j**2. Calculate w(b(s)).\nAnswer: 324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3935949 times -228\nAnswer: 897396372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from {c: 1, d: 5, i: 1, s: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1424*z - 429*z - 4194*z - 6496*z in the form a + h*z and give h.\nAnswer: -12543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**14*z*z))**(-31)*z*z\/(((z**(-8\/11)*z)\/z)\/z)*z*z**(-10\/7) assuming z is positive.\nAnswer: z**(36059\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5564 + 8531 = -275*g - 2955 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 15, -4*y + 2474 = 4*w - 1966. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -311 - -2?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*t + 12, -w - 4*w = 5*t - 15. Suppose 0 = 2*x - 4*x + 5*z + 17, -16 = -x + 5*z. Let g(j) = -2 - 2 + x + j - j**2. What is g(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66192.\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1430 and -3\/118.\nAnswer: 84370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + -1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13104.5954 + -13106. What is w 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 cube root of 570 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -n. Let x be 95\/35 - n\/(-7). Solve -3 = -3*v + x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d5c68c2 - -2?\nAnswer: -d5c68c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(5*m - 5*m + 1 - m)*((-2 - 1 - 1)*(4 - 2 - 3) - 3 + 3 + 1).\nAnswer: -10*m + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 83, 584, 1933, 4556, 8879, 15328?\n\"Answer: 71*s**3 - 2*s**2 + 10*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 14937.9\nAnswer: -2987.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1 + 2 - 8 - a**3 - 13*a + 3. What are the prime factors of m(-4)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2112*v + 156564 - 188244 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2742213346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*x**3 - 8688*x**2 + 927331 wrt x.\nAnswer: 165*x**2 - 17376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4485 divide 1952445741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2907 + -447749\/154. Calculate the common denominator of (-373)\/280 + 608\/(-20) + 32 and f.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 61. Let c = 44 - t. Suppose k - 8 + 2 = 0. What is the highest common factor of k and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o - 46297*o**2 + 46300*o**2 + o**3 + 5*o - 5*o.\nAnswer: o*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (857\/45 - 4)\/(-35 - -36).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 188*q - 745, u - 5*u + 401*q - 400*q = 32 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - (-10)\/((-8)\/4))*-1. Let n be (-2)\/(-1)*(j + 10 + -6). Solve -n*b + 20 = -4*z + 6, 2*b + 4*z = -10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 593\/224 - 1275\/448. What is the common denominator of -15\/256 and i?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -29, 2.75, 3\/2, -3\/4, 3.\nAnswer: -29, -3\/4, 2\/5, 3\/2, 2.75, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7129967464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9240000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3130 (base 4) to base 11\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 4)*(-11)\/(22\/(-4)). Let i be 41 - (b\/4 - 6). Suppose 4 - i = -s. What is the highest common factor of s and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o - 3 + 59. Solve 9 - 1 = -o*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11977628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o - 2. Let u(h) = 27*h**2 + 10*h - 18. Let t be u(5). Let m = -720 + t. What is j(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42214.\nAnswer: 2, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120011020 + 0?\nAnswer: 120011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1\/13)*z)\/z*z)\/z**(-12))**(-8) assuming z is positive.\nAnswer: z**(-1344\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let c(l) = 4 + 4*l**3 - 2*l**3 + 2*l**2 + 2*l - 3*l**i. What is c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(4\/(-1 - -2))*-64. Is v greater than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - o**3 + o**2 - 7*o. Let b(q) = -q**3 - 2*q**2 - q. Let r be b(-2). Suppose r = 2*a + 12. Calculate n(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*-13)\/(((-32)\/36)\/((-1680)\/945))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 728*x**2 - 10739*x + 31372.\nAnswer: -(x - 713)*(x - 11)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let k(p) = 12*p - 14. Let n(t) = -k(t) - 2*q(t). Let w(x) = x - 1. Determine -n(d) - 12*w(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30824 + 7745 = -39*x - 845*x - 4747 for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5*u + 22 - 30, 2*u = 4. What is the closest to k in 0.5, 5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 564 (b) 1\/37 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139.7 - 148. What is s rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/2289 and 36\/1644265?\nAnswer: 4932795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 575953 or -841?\nAnswer: 575953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3684 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**3*t**3 + k**3*t - 78*t**4*w**2 - 2*t**4*w + 17*t**2*w - 5*t*w**2 wrt t.\nAnswer: 24*k**3 - 1872*t*w**2 - 48*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1222.1 + -1223. What is the third biggest value in i, -3\/4, -4, -1, 0.08?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (1 + 0)) + 32 is divided by 13 + 12\/9*-3 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17516032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 8*l**2 - 8*l - 4. Let u be b(9). Suppose -2*n - 165 = -7*n - u*m, -5*n = -4*m - 156. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {i: 2, g: 9, a: 7}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190550 by 10.\nAnswer: 119055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13)**45\/(g**(5\/2)*g**24\/g*g*g) assuming g is positive.\nAnswer: g**(1115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 3951?\nAnswer: 3951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - -2 - (2 - -55). Let s = -113\/2 - i. Suppose q + 2 = 3*q. What is the closest to 2 in q, s, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5436?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 23480 + 2325 = 0. Let t = -1344 - q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = -37 + 51. Solve 5*q = -l + 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*o**3 + 3418*k**2*o**2 + 394819*k**2*o - 4*o**2 wrt o.\nAnswer: -24*k**2*o + 6836*k**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663281 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**2*w**2 + 4*n**2*w*z - 24804*n**2*z**3 - 315*n*w - 6*w**2 + 18*w*z**3 wrt n.\nAnswer: 2*w**2 + 8*w*z - 49608*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z. Let b(i) = -i**2 + 1. Let y(j) = -22*j**2 - 6*j + 3. Let v(l) = 3*b(l) - y(l). Determine t(v(n)).\nAnswer: 19*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11348449.\nAnswer: 7, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 84*o + 1 - 751*o.\nAnswer: -835*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 38*f + 176. Let g be i(-4). Put -3, -13, g, 3 in ascending order.\nAnswer: -13, g, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**3 - 4*h**2 - 5*h - 2. Is f(-2) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -114, 5 in increasing order.\nAnswer: -114, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 8*b**2 - 4*b + 5. Let d be x(-3). Let g = 30 + d. Solve -20 = g*v + 3*q - 4, 3*q = -5*v - 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6) - (-87)\/315. Suppose -11 + 55 = -11*f. Which is the nearest to u? (a) -2\/21 (b) f (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*g - 3 = 0, -2*x - 2 + 16 = 4*g. Let a(y) = y - 11. Let r be a(x). Let i = 6 - r. Solve i = -5*d + t - 6, 5*t = -d - 14 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 584591, 1 in decreasing order.\nAnswer: 584591, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 q when four letters picked without replacement from {n: 3, q: 11}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 239.000097. Round z to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 - 27 + 340*j - 260*j + 2*j**3 - 14*j**2 - 4*j**3 = 0 for j.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12003643 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuxuxuoeu. Give prob of picking 1 u and 1 o.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29804 is divided by 2402?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 148\/(-48)) + 3\/12. Sort v, 0.2, 8 in increasing order.\nAnswer: 0.2, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 12 + 12)*(-90 + 57 + 33 - 2426*j**2).\nAnswer: -80058*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -481 + 157?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3423, -6873, -10323, -13773?\n\"Answer: -3450*w + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2100) - sqrt(21) - (sqrt(1701)*1 - sqrt(1701) - sqrt(21)))\/(((-1*sqrt(198))\/sqrt(6))\/(sqrt(176)*4)).\nAnswer: -320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 5. Let k = 8 + u. Suppose 0 = -0*z + z - k. Which is bigger: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 2. Let d be w(-10). What is the highest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*y - 372, -6*y + y + 456 = -2*m. What is the tens digit of (-6 - (-39384)\/y) + (-4)\/46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 9. Let n be 1\/(-5) + (280\/(-1260) - 322\/90). Let c be (-5)\/2*6\/3. Sort j, n, c in descending order.\nAnswer: j, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 4*l + 9*l)*(2 - l - 3 - 2) + 3*l**2 - 3*l**2 - 2*l**2 + (-l + 4*l - 2*l)*(3*l - 4*l + 0*l) + l - 2*l**2 - l + (3*l - l + 8*l)*(0 + 0 - 3*l).\nAnswer: -45*l**2 - 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 + 2*s**2 - 1 - 5 + 5*s - 2*s. Let o be x(-3). Suppose -o*d = 5*p - 25, 5*d - 8 - 11 = -4*p. Let z(w) = -w**3 + 5*w**2 + 7*w - 8. Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 3 - 7*h**2 + 8*h**2 + 7*h**2. Let f be k(-2). What is the highest common divisor of f and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.26 times -15?\nAnswer: 303.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + 17)*(-4 - -8 - 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*c - 40, 2*c + 4*y = 54 - 14. Solve c = -2*s - 2*n, 3*s + n = -n - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.041 + 45.959. Let c = -2877588007.00000067 + 2877588053. Let u = c - o. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59 - 5*y - 50 - 3*y as b + n*y and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2088 and 2?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -267870 divided by 6?\nAnswer: -44645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 - 48*p**2 - 12*p**2 + p.\nAnswer: -93*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 17. Suppose -x*v = 12 - 138. What is the lowest common multiple of 10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2. Let p be i(2). Let m = 104 - 108. Let q(n) = 6*n - 1. Let v be q(1). Put v, p, m in decreasing order.\nAnswer: v, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59568 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -26*b + 35 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t**5 + 866*t**4\/5 + 806*t**3\/5 - 47564*t**2\/5 + 16296*t\/5 + 7056\/5 = 0. Calculate t.\nAnswer: -14, -1\/4, 3\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 8:26 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258099 less than -188460?\nAnswer: -1446559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004066 is divided by 22307?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/110 + 5*z**4\/66 + 13*z**3\/33 + 7*z**2\/11 - 63*z. Solve o(i) = 0 for i.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 905 + -365. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/181 - 20255\/11946. Calculate the common denominator of 84\/(-55)*(-160)\/(-48) and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001412 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 4}. What is prob of picking 1 p and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 612 - 14*y**3 - 3*y**2 - 3*y - 86*y**3 - 613. Is 10 a factor of b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - 5*q**3 + 4*q**3)*(-389 + 34*q**2 + 389) + 36*q**3 - 36*q**3 + 13*q**5.\nAnswer: -21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*b**4 - 3*b**3 - 1973*b**2 wrt b.\nAnswer: -1680*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 160, -3 in increasing order.\nAnswer: -5, -3, 5, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -102555.1 rounded to the nearest 1000?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 55. Suppose 1 = -a + 2*h + 15, 2*h = -5*a + 106. Suppose w = 5*t - 2*t - m, 0 = 5*w - a. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/20 - 7*t**4\/8 + 7*t**3\/3 - 5*t**2 + 78*t. What is q(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -621*s**2. Let y(x) = -4*x**2. Determine j(y(r)).\nAnswer: -9936*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 19*b**2 + b. Let f be i(1). Suppose k = h - 4*h + 477, 3*h + 5*k - 465 = 0. Calculate the greatest common factor of h and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by 6?\nAnswer: 167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -30. Suppose -122 = -y*r - 46. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - 3*u)*(-2*u - 3*u**2 + 2*u) - 10*u**3 - 31*u**3 + 4*u**3.\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 23*c**3 - c**2 + 1. What is the remainder when s(1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 5223\/1259?\nAnswer: 5223\/1259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22000220011 (base 3) to base 7.\nAnswer: -1225660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 9*o - 15. Let k(j) = j**2 - 2*j - 3. Let d(m) = -21*k(m) + 4*s(m). Solve d(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2613\/44 - 788\/11. Find the common denominator of q and ((-13930)\/(-36417))\/(5\/(15\/4)).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5882 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o - 3*l + 59 = 0, -4*l = 2*o - 22. Let k = -14 + o. Factor 0 - 16*s - 2*s**k + 18*s + 0.\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-4))\/(i\/(i**4\/i))*i**(1\/2)*i*(i\/(i**(4\/3)*i))\/i assuming i is positive.\nAnswer: i**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 258 = 3*g. Let s be ((-1320)\/(-25))\/(-3)*5. Let z = g - s. Solve 0*b = -z*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 (base 7) in base 14?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:14 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 434973089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:02 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2827*z - 47. List the prime factors of l(-2).\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7839, 7837, 7835, 7833?\n\"Answer: -2*o + 7841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(0*c - c + 2*c) + 81 + 66*c - 81 as v + n*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1296 = -446*p - 10434 + 134 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 46. Let v(z) = z**3 - 15*z**2 + 15*z - 9. Let b be v(m). Suppose -b = 8*u - 5. Solve u*n = -5*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(42\/(-4)) - (-69)\/(-21). What is the units digit of ((-176)\/(-10))\/1 - z\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 1. Let i be d(-2). Let n be (-2 - (1 + i)) + -3. What is the units digit of ((-8)\/n)\/((-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56036665 (base 7) to base 12\nAnswer: 1750bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*j**4 + 286*j**3 - 286*j**3 + 2*j**4 - 3*j + 3*j + (-4*j**3 + 3*j**3 + 2*j**3)*(-1 + 1 + j) + j**4 + 2*j**4 - j**4.\nAnswer: -6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194426?\nAnswer: 2, 97213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3050392*i**3 - 37*i**2 + 567*i + 22?\nAnswer: 18302352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3 + (-5 + 5 - 2)*(-4 + 5 - 3) - 2 - 4 + 5 + 3443 - 6807 - 1823)*(-1 + 1 - 2*w).\nAnswer: 10366*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbggggcbcbgccg. Give prob of picking 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4061 or -4007?\nAnswer: -4007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*p - 211 = 0, 5*r - 217 = 2*p - 3*p. Let b = r - 33. Calculate the lowest common multiple of 1 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bc3 + 3?\nAnswer: -bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7656.533 weeks in days?\nAnswer: 53595.731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1629\/61 at least as big as -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39. Suppose h = 2*p + v + 8, -8*p + 3*v = -4*p + 6. Let r(q) = -q**3 + 3*q**2 - 2*q - 3. What are the prime factors of r(p)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4314 - 4218. Calculate the greatest common factor of 936 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3211 and 41069678?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2902, 0.1, -1\/4, 0.05.\nAnswer: -1\/4, 0.05, 0.1, 2902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5\/5 - 178*i**4\/5 + 78*i**3 + 104*i**2 - 393*i\/5 - 342\/5 = 0.\nAnswer: -1, -2\/3, 1, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r**2. Suppose 9*h + 19 = 46. Let d(i) = -12*i - h*i + 4*i + 14*i. Calculate a(d(t)).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + 19 + 14 + 19 - 28 to the form j*f + w and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/4 + (-1)\/2. Suppose -3*h - 39 = -2*i, 6 = i + w*h - 0. Let o(b) = 4*b**2 - b + 10. Is o(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*s**3 - 45\/7*s**2 - 225\/7*s - 375\/7.\nAnswer: -3*(s + 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - f - 4*f + 4*f - f - 4*f + (-2*f + 2*f - 2*f)*(3 + 0 - 4) + 0*f + 3*f - f - 315*f - 30*f + 153*f + f + f + 0*f to the form g*f + y and give g.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25215?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115061253 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 65 = -3*x, n = 2*x - 4*n - 28. Let k = -17 + 31. Let d = x - k. Solve 5*m - d = -0, -2*o - 4*m - 6 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 0 + 2 + -2. Suppose v*x + 6 = 0, -2*x = -4*o - 3826349 + 18226353. Round o to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169 - 165. Suppose 0 = w - 13*y + 8*y - 346, q*w = 3*y + 1367. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -16, -3\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4437? (a) 659 (b) -3 (c) -1\/6 (d) 0.2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/7, 0.02603, -0.0003 in increasing order.\nAnswer: -0.0003, 0.02603, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 6*q - 5. Suppose o + 2 = -o - 2*u, -5*u = -5*o - 45. Let p be j(o). Solve 2*i + 0 + 6 = p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from zzsshzzshrzzhs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11849820 or 11849809?\nAnswer: 11849809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071240349 to four decimal places.\nAnswer: 0.0712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13675*y - 256 = 13659*y. Calculate the greatest common factor of y and 26032.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 34.7004 kilometers?\nAnswer: 34700400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0268589 - 3.9731411. Let c = -4.1 - 0.9. Sort 3, -2\/7, y, c in descending order.\nAnswer: 3, -2\/7, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193423 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8671?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9 + 2*x - 3 - 5. Calculate the least common multiple of c(12) and (2 + (-1 - -2))*3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 4 = -144 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 0.4, -0.3 in decreasing order.\nAnswer: 70, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert b09733 (base 16) to base 14.\nAnswer: 177381d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289981*b**5 - 4358*b**2 - 2*b wrt b.\nAnswer: 17398860*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.1, 4, -2\/5, -3, -3\/426116, -0.1, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.5 + 9. Is h equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/3)\/((-96)\/(-64)*(-2 - 176\/(-72))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27840 is divided by 1571?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927487908.\nAnswer: 2, 3, 2862617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/55 and 107\/1180.\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -31*l - 1. Suppose -3*b = -h - 13, 5*b + 5*h - 947 = -912. Let a(z) = -32*z - 1. Give b*m(f) - 4*a(f).\nAnswer: -27*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2205 - -2218. Solve -p = -4*m + 2*g + 3, 2*m + 3*g = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - 203*p**2 - 244*p - 6629. Give g(103).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 1 + 13 - 32 - 28 - 3*b. Let f be z(-17). Suppose -225 = -2*s + f*q, 1 + 2 = -3*q. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 137 - 35 = 0. What is the derivative of 24 - 50*b + 9 + j wrt b?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - ((-1136)\/120 + 5))\/((-7)\/(-84))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 86 = -2*m - 52, m - 1 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.833161l?\nAnswer: 4833.161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*c**2 - 50*c + 68*c - 5*c)*(0 + 2 + c + 0*c) to the form r*c + a + s*c**3 + h*c**2 and give h.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + (54 - 65)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29.81 + 0.19. Let v = c - 33. Which is smaller: 0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17588 and 206.\nAnswer: 1811564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-1)\/(-12))*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 801309 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -18. Let x = -84 - -117. Let p = c + x. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -12 + 1\/3*f**3 - 1\/2*f**2 - 2*f. Determine g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 6 = -22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 14*u**2 + 2*u + 173. Let n be o(9). Calculate the greatest common divisor of 100 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 11*p**2 - 15*p + 40. Let r be v(12). What is the third biggest value in 0.4, 7, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-2 - 1). Let m = s - -2. Let i be 60\/((-9)\/(-420)*m). What is i rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129956463 - 129956463 - 223*m**2.\nAnswer: -223*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1728 - 4*g**4 + g**2 - g**3 - 2*g - 1730 + g to the form c*g**3 + h*g**4 + a*g**2 + m*g + p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 1052013?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031686 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaahhaah. Give prob of picking 1 h and 3 a.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 401\/5 - 80. What is the nearest to 8 in a, -1\/2, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -434 + -0.0643584.\nAnswer: -434.0643584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 69 - 42 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 9. Let g(t) = -t - 9. Let m(b) = -g(b) - n(b). Let l(r) = -98*r + 1. Determine m(l(w)).\nAnswer: 196*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - x**2 - 4*x - 1. Let s be m(3). Suppose s*y - 259 = -2*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3510 (base 8) to base 11.\nAnswer: -1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 2*k**2 + 21*k**3 + 409*k**3.\nAnswer: 430*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -199 + 206. Solve -m*x = x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**3*d)*d)**(-20\/3))**(-35) assuming d is positive.\nAnswer: d**(-1400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10412 + -17?\nAnswer: -10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-15)*15*10\/15*(-25)\/50?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 80 + 2*i - 27 - 66*i**2 + 65*i**2 to the form g*i**2 + h*i + v and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = -3*n - 2*m, -2*m = 0. Sort n, 0, 34, -4 in decreasing order.\nAnswer: 34, 0, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757 at most 5763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**4\/7 - 184*l**3\/7 - 9188*l**2\/7 - 61416*l\/7 - 7488 = 0.\nAnswer: -24, -7, -1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 9. Determine y(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 330, 801, 1272, 1743, 2214, 2685?\n\"Answer: 471*u - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (31 + 9101\/(-266))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 12*r**2 - 406*r\/3 - 3920\/9.\nAnswer: -2*(r + 7)**2*(r + 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1844 - -11491. Suppose 9917 = 4*n - c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1824 + -14617\/8. Find the common denominator of p and 638979\/448096 + (-4)\/(-38).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-13850)\/(-200))\/(2\/8*-1). Are x and -827\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33390*z**2 - 1836395*z - 3025 = 0.\nAnswer: -11\/6678, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2040 + 1404. Is m\/(-21) - (-3)\/((-21)\/2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569518 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (24 - (-22 + 17)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340108 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: Let z(w) = 0*w**2 - 249*w + 249*w + 2*w**2. Suppose -4*m = -16, -2*v - m = -5*v + 104. Let d(y) = v*y - 9*y - 16*y + 26*y. Give d(z(n)).\nAnswer: 74*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 6. Let v be k(3). Let r(y) = y**2 + y - 1. Let h(l) = 2*l**2 + l - 3. Give v*r(f) - h(f).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 13*r - 42. Suppose 0 = x + 8 + 9. Let p be a(x). Are 24 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 4. Let y be 3*(30\/h)\/(-5). Let j(m) = y - 1 + 4 - 3 - m. Give j(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/6 + 114*j. Let o(k) = 49*k**2. What is o(m(f))?\nAnswer: 196*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmbddjmjxdpj. What is prob of sequence bmx?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 11*f - 1. Suppose 0 = i, -l - 2*l + 6 = -4*i. Let v be y(l). Let w be v + (-3 - -2) + 2. Calculate the greatest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5958298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 41 = -13. Suppose 9*t = v*t + 10. What is the least common multiple of t and (-1 - -2) + -1 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:04 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-344331)\/(-763) + 1\/7*-2. Let l = -346 + n. Calculate the highest common divisor of 60 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 27*f - 122. Suppose 0 = 3*p - 5*p + 12. Is 8 a factor of q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14925 + 24284. What is the highest common factor of 191 and h?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*(143\/132)\/13.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 1285 + 44202 = 5*h, 3*h - 25753 = b. Is 58 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8)\/((j*j*j**0*j*j*j)\/j))**(-13))**41 assuming j is positive.\nAnswer: j**6396","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.51426 decades in centuries?\nAnswer: 8.151426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = 3*q, -v = -8*q + 3*q + 5. Suppose -x - q = t, 0*t - 2*t + 3*x = -8. Which is the third biggest value? (a) t (b) -2\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110759 is divided by 155.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1415 + 1415 - 4*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**5 - 998*m**4 + 14631*m**3 + 112342*m**2 - 275240*m = 0?\nAnswer: -7, 0, 2, 20, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + z**4 + z**4 + (-z + 2*z**2 + z)*(-2 + 2 - 3*z**2) + 5*z**4 - 6*z**4 + 10*z**4.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-6 + 10 - (0 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 39. Suppose -59 = -2*d - s*g, g = -d + 3*g + 52. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 1, 7994, 7 in decreasing order.\nAnswer: 7994, 7, 6, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 + u**5\/12 - u**4\/4 + u**3\/3 - 2*u**2. Let y be b(-6). Solve 0 = -o - 0*o - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4968, -5046, -5136, -5244, -5376, -5538, -5736?\nAnswer: -5976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l + 4. Suppose -4*k = -2*t - 20, t - k = -3*k - 26. Let i(x) = -4*x - 1. Give t*i(w) - 4*u(w).\nAnswer: 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:05 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 + 3483340*b\/3 + 52250050\/9.\nAnswer: 2*(b + 5)*(b + 5225005)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 20*g**2 + 26*g + 5. Let b be m(22). Let x = 559 + b. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (((sqrt(96) + (sqrt(96) - 3*sqrt(96)))\/sqrt(4))\/(sqrt(588)*2))**2).\nAnswer: 197\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**5*o - 534*l**5 - 3591*l**2*o wrt l?\nAnswer: 180*l**2*o - 32040*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mumu when four letters picked without replacement from uumumuuuum.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14782, 14775, 14768, 14761?\nAnswer: 14754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92, -170, -346, -662, -1160, -1882, -2870?\n\"Answer: -7*d**3 - 7*d**2 - 8*d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 9*w + w + w**2 - w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (6 + 0 + -4)) + (-5 - (-1 - -46)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 15*x**3 - 28*x - 16*x - 5 - 31*x + 2*x**4 - 22 - 35*x**2 = 0.\nAnswer: -9, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 7, j: 2, a: 2, z: 4}. What is prob of sequence zaqb?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/4746797 or 1?\nAnswer: 6\/4746797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 555a3 (base 14) in base 6?\nAnswer: 4233551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + sqrt(605)) - sqrt(605)) + ((sqrt(605) + (1 + sqrt(605))*-1)**2 - sqrt(605)) + sqrt(605))*-5 + 2.\nAnswer: -53 + 330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 3084723.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -100770349?\nAnswer: -10077034.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -4205541?\nAnswer: -4205541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, -4 in decreasing order.\nAnswer: 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:48 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-27))\/(-1 + 1887\/1890). Let r = -254 - j. What is the remainder when r is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*f*r + 15*b*f - 36*b*r + b - 25*f*r + 35*f + 299*r wrt f.\nAnswer: 2*b*r + 15*b - 25*r + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.09189669 * 4\nAnswer: 0.36758676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q, 4*q = 3*o - 0*o + 2549. Let t be (o\/21 + 1)\/(2\/(-6)). Suppose 1 = -3*p + t. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3327*m + 112 + 3329*m - 18 to the form u*m + z and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 76*p**2 + 518*p - 2. Let s(a) = 36*a - 1. Give x(s(n)).\nAnswer: 98496*n**2 + 13176*n - 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/5, 6, -0.3 in increasing order.\nAnswer: -0.3, -1\/5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 283369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*s**2 + 61*n**2*s - n*s**2 - n - 10*s**2 + 128*s wrt n.\nAnswer: 2*n*s**2 + 122*n*s - s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Let w(d) = 3 - i*d - 3. Let r(z) = -z. Let y(s) = -s**2 + 4*s. Let p(l) = -4*r(l) - y(l). What is w(p(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -0.35. Let y = -0.44 + 0.04. Let u = 0.3 + y. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**2 + 14*l**3 + 1 - 14*l**2 - 7*l**4 - 15*l**3 + 17*l**2 to x*l + t + d*l**4 + b*l**3 + p*l**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, c: 2}. What is prob of sequence cqcq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 107452.7?\nAnswer: -107453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/9462)\/((-5)\/15)*3*36\/(-27).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (23\/((-805)\/(-42)))\/((-4)\/10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*l - 66911, -29*u + 34*u = -4*l + 133789. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*n + 82*n - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 784.291l in millilitres?\nAnswer: 784291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8 + (-6)\/(-8))*2. Solve -2 = l*s - 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220211111 (base 3) in base 5?\nAnswer: -3314334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 198\/27. What is the common denominator of (236\/(-60))\/(n\/(-10)) and ((-6)\/8)\/(15\/(-770)*-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, w: 17}. Give prob of sequence ffww.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-306)\/42 + 7 + 71\/28. Factor -t + 3\/2*b - 1\/4*b**2.\nAnswer: -(b - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*k - 0*y + 18, 0 = y + 5. Let w(x) = 16*x + 16. Let t be w(k). Solve -4*i - 4 = 4*f, -2*f - i = -t*f - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(6\/(-12)*-2). Solve -3 = d - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4480588*b**3*x**3 - 2*b**2*x**3 + 219*b*x**3 - 20*x + 23 wrt b?\nAnswer: -26883528*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9665 - 0.1.\nAnswer: -1.0665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-2\/33))\/l)\/l**(-1\/3))\/(l**(-1\/15)*l**(5\/6)) assuming l is positive.\nAnswer: l**(167\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 50*c**2 + 97*c + 48 = 0. What is c?\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 216 = 128 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a20 + -5ab?\nAnswer: -640b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 6}. What is prob of sequence xx?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t + 5 = -4*l, -2*t - 3*l + 25 = 0. Find the second derivative of -9*w**5 - 2*w**t + 5*w + 5*w + w**5 wrt w.\nAnswer: -200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/10*138314\/8. Let b = k + 3455. What is the common denominator of 23\/(-8) + (-1 - -1) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Suppose 4*r - 4*o = -0*o - s, -3*o = -9. Suppose r*w - 4*w = 0. Solve -5*n = 5*q - 5, 5*n + 0*n - 2*q - 33 = w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17996566993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98185 is divided by 825.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -45\/2 (c) 4 (d) 0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*w**3\/3 + 895576*w**2\/3 - 651232*w\/3 + 118400\/3.\nAnswer: -2*(w - 3700)*(11*w - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -r + 27, r + 4*c - 9 = 14. Is 7 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2 - 22120*h - 61161800 = 0.\nAnswer: -5530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49048\/95 + 2582\/5. Find w, given that -2\/19*w**4 + 0 - k*w**3 + 0*w + 4\/19*w**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 = 0, 17*r = -5*p + 13*r + 64. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 w when four letters picked without replacement from {z: 2, w: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 17. Suppose 5*p = -40 + 10. Let c be w(p). Suppose 4*q = -c*z + 140 + 69, 4*z = -q + 55. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*s + 19 + 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:12 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 18*i + 23. Let x be w(-18). Suppose 3 = -3*c + 3*d, -2*c + 9 = 2*d + x. Let b = -7 - -12. Put -5, b, c, -2 in descending order.\nAnswer: b, -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2179 + 3071. Let j be (12\/(-9) - -2)\/(28\/t). Solve -2*v - 13 = 3*p, 11*v = 4*p + 6*v + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -5 + (1 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a tonne in kilograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23e3 (base 16) to base 10.\nAnswer: 9187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3570*p + 1 - 4*p**4 - 63*p**3 + 3571*p + 144*p**3 in the form v*p**2 + y*p + u + m*p**3 + i*p**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.054 to 1 decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 8 = -4*y. Suppose -y*j = 5*w - 5*j - 60, -5*j = -25. Is (-612)\/(-10) - 3\/w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4455 and 24?\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 - z**5\/6 - z**4\/24 + 11*z**3\/6 + 21*z**2 + 3*z. What is k(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2406 + -1824?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 7560080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14070 - -14069.7. What is the nearest to -2\/3 in -3, g, 6, -2\/15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.6 and 2.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*j + 2. Let l = j - -5. Suppose -c + l*p = -3, 3*p + p = c - 2. What is the lowest common multiple of c and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 4 (c) 2\/5 (d) -10.5 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((5200\/3660)\/20) - -5?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6262 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3501 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 1\/11 (b) -6 (c) 7 (d) 331\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 3*l. Let j(q) = 9*q**2 + 8*q + q - 15*q. Let y(p) = 7*h(p) + 3*j(p). Let z(t) = 2*t. What is -2*y(g) + 3*z(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -10114111?\nAnswer: -10114111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**2 + b + 1. Let v(k) = 7*k + 15. Let n be v(-2). Suppose -w = r - 1 - n, 3*w + 2 = 5*r. What is o(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/10)\/(3\/(-12)). Suppose h*b - b - 161 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8460 by 3.\nAnswer: -2820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y + 123*y + 200 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 180311770 to the nearest 100000.\nAnswer: 180300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9828\/(-1008) - 1\/4 - (-24)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 451362898, 451362899, 451362900, 451362901, 451362902?\n\"Answer: q + 451362897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10059250.2 + 456589.\nAnswer: -9602661.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 24*i + 279. Let c be r(-11). Solve 3*x + 5*k = -3, -3*x + k = -0*x - c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -398*k + 371 - 741 + 372 - 313*k to b*k + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let j be a(5). Let q = j - -6. Suppose 16*b + 100 - 164 = 0. Solve -2*p - q = -b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjn when three letters picked without replacement from {s: 1, n: 5, j: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-9 - -5) + 146 - -2) + -6?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -16, -2\/245, 2\/23.\nAnswer: -16, -0.1, -2\/245, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**3 + 3*d**2 + 108*d + 303. List the prime factors of f(-19).\nAnswer: 113, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (0 - -1) + -1. Suppose 9 + 6 = -5*x. Suppose -l = -4*l + 6. Sort x, j, l in ascending order.\nAnswer: x, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487890 divided by 7258?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 10 = 0. Solve 0 = -5*z - x - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564.38 + 572. Which is the third biggest value? (a) -3 (b) 6 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38733186 and 57174?\nAnswer: 4398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6318123 by -902589.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897, -3516, -5135?\nAnswer: -6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 4*n - 6. Let p(y) = -7*y**3 - 17*y**2 + 30*y + 144. Let a(k) = -4*m(k) + p(k). Determine u so that a(u) = 0.\nAnswer: -2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081404473 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*g = 127*g - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**2 + 3*p. Let d(h) be the first derivative of -2\/3*h**3 + 80 + 0*h + 0*h**2. Determine n(d(w)).\nAnswer: 44*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2135606 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/5 - 164853*n**2\/5 - 6390651*n - 1549276531\/5 = 0. What is n?\nAnswer: -164659, -97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1539 = -3*s + 18478, -2*s = 2*x - 10006. List the prime factors of x.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6420987?\nAnswer: 3, 283, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4*u + 506471*j**4 + 17264378*j*u wrt j?\nAnswer: 60*j**2*u + 6077652*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(sqrt(96)\/sqrt(2) + -3))**2 - (sqrt(36) - -1*(sqrt(36) + sqrt(36)*3))\/(sqrt(108) + (sqrt(108) - (sqrt(108)*1 - sqrt(108)) - sqrt(108))).\nAnswer: -173*sqrt(3)\/3 + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmeewwweyyewjmwfw. Give prob of sequence yw.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 122377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**2 + 8*j + 3. Calculate the remainder when y(-10) is divided by 8 - (3 - 15\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j. Let y(n) be the first derivative of 13*n**2\/2 + 273. What is v(y(m))?\nAnswer: 26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2. Let q(k) = -k + 4*k - k. Give d(q(r)).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.26 + -3.26. Which is bigger: 325 or s?\nAnswer: 325","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z - 450 = -18*z - 14*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/121, -106\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -1. Let w be (-4)\/c + 200\/(-14). Let t = -10 - w. What is the highest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10144 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160930199?\nAnswer: 1433, 112303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71150 rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 218\/(-5) - (45 - 93)\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -52*n + 36*n + 21*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11.6 (b) -5\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -1.3 (c) 0.2 (d) 2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 2a73b96b?\nAnswer: 2a73b972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2944023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19207 (b) -2 (c) -0.05 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**0))**(-25)*(p\/(p*p\/p**(-1)*p*p))**(3\/8))\/(p**(-3)\/(p\/p**(-1\/2)*p)*(((p\/(p**3*p))\/p)\/p)\/((p*p**(-1\/2)*p)\/p)) assuming p is positive.\nAnswer: p**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 less than 0.13944291?\nAnswer: -127.86055709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -5*s**8\/1008 + s**7\/21 - 7*s**6\/36 + 4*s**5\/9 - 5*s**4\/8 + 5*s**3\/9 + 21*s**2. Factor f(b).\nAnswer: -5*(b - 2)*(b - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.296 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3604 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19703000 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9700494cm?\nAnswer: 0.000009700494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -d, -7*m + 5*m - 2 = 4*d. Suppose 2*o = 2*u + 88, -3 = -3*o - d. Let t = u + 85. Calculate the highest common factor of t and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 less than -1325?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -910\/3 + 911\/3. Let h be (-2)\/5 + 28\/(-105). What is the closest to k in h, 3, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -632 (b) -0.3 (c) 140 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:59 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 w when two letters picked without replacement from dlwl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**3 - 3*q**2\/2 + 6*q + 13. Let h be o(2). Let d = h + -5. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 282. Suppose -k = j - 784. What is k rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) - 38\/(-56). Let l = -0.37 + -0.03. Let x = 0.6 - l. What is the nearest to x in -0.1, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -91. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6362 + 6892. What is the highest common factor of h and 954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42983868 divided by 2953?\nAnswer: -14556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 1. Let z(j) = -28*j**2 + 14. Determine 14*m(x) - z(x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, 0, 1004, 2972, 6228, 11096, 17900, 26964?\nAnswer: 38612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/(-6)*3). Let a = -4 + 6. Let y(l) = -2*l**a - 2*l - 19 + 0*l**2 + 17 + 5*l**2. What is y(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*u + 4634 - 18028 = 0 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = a + 79 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 427.\nAnswer: -1\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 9, d: 3, h: 2, y: 5}. What is prob of sequence yyyy?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 400*i + 10075. Determine w(27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 9*d**2 + 6536528*d**3 + 4*d**2.\nAnswer: 6536528*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 393\/(-1) - (33 - 28). Let l = c + 402. Solve 0 = -d - h, 4*d + 1 = -5*h + l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4 - 12\/8. Suppose -5*o = -24 - n. What is the remainder when 19 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183778, -183818, -183886, -183982, -184106, -184258?\nAnswer: -184438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - -1) + -41 + -5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 22*r - 18*r. Let x = -1 - -0.5. Sort x, -3\/5, r.\nAnswer: r, -3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00325073 to five decimal places.\nAnswer: -0.00325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -169 + 102. Let d = l - -55.9. Let r = d - -11. Put r, -2\/3, -4 in decreasing order.\nAnswer: r, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 55 - 17 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902646 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5 = 2*x, 23*x = 21*x - 5*w - 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1703032 or -1703033?\nAnswer: -1703032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -93\/7. Sort 0.1, 2, t in decreasing order.\nAnswer: 2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-1\/10))\/i**(4\/3))\/(i\/i**(-1\/3))**(2\/77)*(i\/(i*i**(-2)))**(-1\/2)\/(i**(2\/19)*(i\/((i**4\/i*i*i)\/i*i))\/i) assuming i is positive.\nAnswer: i**(203069\/43890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 250 + -155. What are the prime factors of w?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11661445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g**6 + 0*g**5 + 8\/3*g**3 - 50 + 0*g**2 + 0*g**4 + 0*g - 7*g**7. What is the third derivative of q(j) wrt j?\nAnswer: -5880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 4838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*i + 228 - 368 = 236 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.2, -85 in decreasing order.\nAnswer: 0.2, 0, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 7*y - 3. Let z be f(6). Suppose 6*p + 237 = -z. Let x = -48 - p. Which is the second biggest value? (a) x (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z + 21. Let b = z + -9. Suppose b = 4*j, j + 0*j = 4*q - 49. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7048268499 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1 + 0\/(-1)) + 20. Suppose c*a = 14*a + 600. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 0*x**2 + 0*x**6 + 1\/10*x**5 + 0*x**4 - 1\/6*x**3 - 1\/42*x**7 + 0 + 3*x. Solve q(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803, 3202, 7185, 12740, 19855, 28518, 38717?\nAnswer: 50440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2 + 2 - m + 10. What is the remainder when (-1)\/(((-1)\/4)\/(208\/64)) is divided by q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 0*m - 3*m**2 + 0*m.\nAnswer: -3*m**2 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8936, -17872, -26808?\nAnswer: -35744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1378, -2734, -4090, -5446, -6802, -8158?\nAnswer: -9514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -37805 divided by 7561\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 353 in -1\/9, -17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Let l = -31545 + 31543. Let q = 6 + -6.5. What is the smallest value in q, l, 0.03, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 100, -4.\nAnswer: -4, -1, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31470703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*g**2 + 1)*(149*g**3 - 490*g**3 - 450*g**3 - 622*g**3).\nAnswer: 4239*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1271961791 + 47112*k + 1271961791 as v + u*k and give u.\nAnswer: 47112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**5 - 250*m**4 + 1585*m**3 + 45280*m**2 - 405840*m - 449280 = 0.\nAnswer: -13, -1, 12, 16, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5237, 10471, 15705?\n\"Answer: 5234*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*f = -4*l + 10, -2*l - 3*f = -25. Suppose l*r - 1 = -6, 151 = 3*g - r. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8193.929969 + 8195.63. Let w = -2096 - -2094.3. Let d = g + w. Round d to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-6)\/8))\/(2 - 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -355 at most as big as 419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29608 = -x + 7971. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -3*j + 2*k, -16 - 158 = -2*j - 4*k. Let r = 54 + -35. Calculate the remainder when j is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08875*0.0509\nAnswer: 0.004517375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 = -175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*u - 3*p, -2*p - 2*p + 37 = 5*u. Calculate the highest common factor of 63 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.94 + 250268.8.\nAnswer: 250275.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 2*j - 1. Let l(r) = -r**2 - 3*r - 1. Give -4*f(s) + 3*l(s).\nAnswer: s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-6) + 10*(-1)\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/13))**(-1\/67)\/(((o*o\/o**(-1))\/o)\/(o**14*o)))**(-1\/27) assuming o is positive.\nAnswer: o**(-11321\/23517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -14\/183?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13065, -13074, -13089, -13110?\nAnswer: -13137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + -5 + 6 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305398 is divided by 1377.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = -k + 2*r + 34, -18 = -k + 3*r. Suppose 8*w = 3*w - 85. Let q = k + w. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqqqspggqbxqqbxxsg. Give prob of picking 1 x and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 6, -0.07, -46, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 3075575?\nAnswer: -99\/3075575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4079*t**2. Let w(g) = 2*g + 956. Give w(q(c)).\nAnswer: 8158*c**2 + 956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 18 + 3*j + 34)*(1 - 2*j - 1) to the form z + m*j + x*j**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**5\/60 + l**4\/24 + 416*l**3\/3 - 19*l**2. What is the units digit of p(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j + 1 - 43*j + 75*j**2 - 170*j**2 + 60*j to the form l + r*j + x*j**2 and give x.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/(1*3\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2306136 and 190217?\nAnswer: 223695192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.1669 millennia to centuries.\nAnswer: 301.669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.1. Let u(b) = b**2 + 10*b + 5. Let m be u(-9). Let z = -0.3 + 0.5. Put r, m, z in ascending order.\nAnswer: m, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Suppose 6*d - 44 = 166. Let j = d + -32. Let q(y) = -y + j*y + 2*y - 14*y. What is c(q(f))?\nAnswer: -200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 49384.\nAnswer: 49384.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 5 + 1 - (-1 - 0). Suppose 0 = 2*b - 4*b - 3*r + 2, f = 4*b - 4*r - 44. What is the greatest common divisor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-4)*(-14)\/21. Solve -2*l - l = 4*o + 4, -l + 16 = -r*o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35634*-8.\nAnswer: 285072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 235, 467, 699, 931?\n\"Answer: 232*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126*q*w**2 + q*w - 112058*q + 40064*w**2 - w wrt w?\nAnswer: 252*q + 80128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 12. What is the second smallest value in 1\/7, -9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 22*r**2. Let p(y) = 12*y**2. Give f(p(t)).\nAnswer: 3168*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10427443 is divided by 1129?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1 - 25\/4*t**2 + 2*t**3 + 21\/4*t**4 - 2*t = 0.\nAnswer: -1, -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11022913 to the nearest integer?\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/(-35) - (-4)\/14. Suppose -a + z = -3. Which is bigger: a or 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + (sqrt(80) + sqrt(80)*-1 + sqrt(80))**2 - -5*(0 + sqrt(80))**2) + (-3*sqrt(720))\/(-4*sqrt(28)\/sqrt(7)).\nAnswer: 9*sqrt(5)\/2 + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 12 = 0, 3*r + 4*w = 26 + 5. Let k = 0.6 + -5.6. Let h = k - -6. Which is the nearest to h? (a) -0.5 (b) r (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(18) + sqrt(18))**2 - -6*2*sqrt(2)) + -3 + -2*(sqrt(2) + 2).\nAnswer: 34*sqrt(2) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:29 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -529, -1265, -2293?\nAnswer: -3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4746 is divided by 4729?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014741355 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509456*t + 509454*t = -4, 3*r + 225 = 42*t for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:05 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 66496733?\nAnswer: 66496731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y**3 + 478*y + 10*y**3 - y**3 - y**2 + 2 - 201*y - 285*y as j + x*y**3 + k*y**2 + d*y and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(2*w + 0*w + 0*w) - 6 + 7*w + 12 - 8.\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 87 (c) -3 (d) 0.4 (e) -4 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86524187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 4, -2\/3, 6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -2.571.\nAnswer: -5.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-318)\/(-265))\/((-146)\/50 + 3). Let w(z) be the second derivative of 0*z**2 + 1\/6*z**4 + 0 + 2*z**3 - x*z. Find the second derivative of w(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31024\/3 - -10492. Is 22 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -18. Let d = c + -12.3. Sort -3, d, -8.\nAnswer: -8, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2402948487?\nAnswer: 3, 17, 19, 130517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 17 = 98. Let p(q) = 15*q + 433. Let o be p(-27). Is o > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 95 = 29*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 5 + -2 - -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -0.05, 1\/15, -0.4 in descending order.\nAnswer: 1\/15, -0.05, -0.4, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 36*a**4 - 34 - 2*a**4 + 3*a**3 - 3*a**3 + (-a - 3*a**2 + a)*(4*a + 10*a**2 - 4*a) to the form r*a + o*a**2 + t*a**4 + d*a**3 + g and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -4. Suppose z = 3*q - 5*q. Let b(g) = -2*g + 2. Let w(v) = v - 1. Give q*w(n) - 4*b(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 685\/4 + -152. What is the common denominator of -49\/172 and f?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233102001113 + 3?\nAnswer: 233102001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:52 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 - (-3 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 7*l**2 - 38*l + 64. Let v be r(-11). Let o(p) = 16*p + 20. Give o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1956.0207 months in years?\nAnswer: 163.001725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8300440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 168*h - 5886. What is b(-46)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 31. Suppose i*j - 3*z + 4*z = 53, -j + 8 = 2*z. Calculate the greatest common factor of j and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 17*k + 54. Let p be z(4). What is the second derivative of -48*b + p*b + 25*b + 39*b**2 + 3 wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 5. Suppose -2*l + 2 = -u. Solve -2*c = l*q + q - 7, 4*c + 4*q = 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -20*j**2 + 14*j + 11. Let s = 10 - 14. Let t(a) = -2*a**2 - 4*a + 5. Let c be t(s). Let z(x) = 7*x**2 - 5*x - 4. Determine c*z(b) - 4*i(b).\nAnswer: 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6304929 nanograms to grams.\nAnswer: 0.0000000006304929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 22 = -9*z. What is the greatest common divisor of 77 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88562748811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 2*m**6\/75 - 17*m**5\/25 - 19*m**4\/5 - 118*m**3\/15 - 8*m**2 - 23*m - 14. Factor c(j).\nAnswer: 4*(j - 20)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -608788*g**3*s - g**3 - 2*g**2 - 174201*g wrt s?\nAnswer: -608788*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and 13*2\/(-24) - (-24)\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3041 - -3041.5. Sort o, 85, 4 in decreasing order.\nAnswer: 85, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269257 to the power of 1\/2, to the nearest integer?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 4*a. Let o(y) = y**3 - 9*y**2 - y + 3. Let t(c) = -c**3 + 10*c**2 + 2*c - 4. Let u(k) = a*o(k) + 5*t(k). Determine u(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufu when three letters picked without replacement from fuffmffmfmfumfff?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 3*t**2 + 2*t + 1. Let p be n(-2). Is -2\/31 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -127. Let k(r) = r**3 + 8*r**2 + 17. Let i be k(y). Find the first derivative of -i + 9 - 6*s**2 - 12 - 11 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 12845?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmv when three letters picked without replacement from {y: 1, m: 3, q: 1, b: 2, v: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -7 - (43 - 66)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, p: 7}. What is prob of picking 2 p and 2 u?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -67, -41, 0, 66 in ascending order.\nAnswer: -67, -41, 0, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 - 25*r**3*y**3 + 701*r**3 - 27*r*y**2 + 70*r + 3*y**3 + 1 wrt r?\nAnswer: -24*r**2 - 150*r*y**3 + 4206*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 + 4898 = 206*f - 2120 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**2 + 644*x - 1896 = 0.\nAnswer: 3, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 7\/30*j**5 + 8*j**2 + 3*j**3 + 0*j**4 + 0*j. Differentiate h(l) with respect to l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -0.5, 2\/3.\nAnswer: -0.5, 0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 12*d**2 - 9*d**2 + d**2 to b + t*d**2 + a*d and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from okokhkhkohkooik?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.43 - -0.55. Let i = 0.02 + v. Let w = 6802\/13 - 74796\/143. Which is the second smallest value? (a) w (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 403 + -407. Let h = 0.8 + -0.3. Let d = 20.7 - 21.7. What is the third smallest value in d, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bui when three letters picked without replacement from biiuiuu?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g - 2)*(-3 - 8 - 7).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-6) - (-42070)\/(-12621))*1\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-27) + ((-1720)\/9)\/(-2). Suppose 0 = -3*j + 15 + 21. Calculate the greatest common factor of h and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407727361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -6. Let a = u - -246. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by 313.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(300))*3 + 4.\nAnswer: 19 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/11)*c*c*c*c**10*c)\/(c*c**0*c*c**17) assuming c is positive.\nAnswer: c**(-52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 81 - 73. Suppose x + 2*m = l - 1, -4*m + 17 = 5*x. Calculate the highest common divisor of 17 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3473549 + -1498969. What is o rounded to the nearest 10000?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41775*m**2*w - 49729*m**2 - 2*m wrt w?\nAnswer: 41775*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54261 (base 8) to base 4.\nAnswer: -11202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*f = 218, 4*n = -0*n + f + 309. Suppose b + n = 5*b. Suppose -p - 17 = -b. Solve 4*u - 14 = p*a, 2*u = 2*a - 3*u + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10)\/(u*u*(u\/(u\/(((u**(2\/17)\/u)\/u)\/u*u)*u))\/u*u*u)*u**9\/((u\/(u\/u**8*u))\/u) assuming u is positive.\nAnswer: u**(-121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 22 - 284*x**2 - 44.\nAnswer: -284*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.27105 + 144\nAnswer: 144.27105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2480 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 10:08 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -166101641 (base 7) in base 13?\nAnswer: -24a2398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7194, -14292, -21392, -28494, -35598, -42704, -49812?\n\"Answer: -t**2 - 7095*t - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 18*x + 56\/3.\nAnswer: -2*(x - 28)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1385043, 2770087, 4155131, 5540175?\nAnswer: 6925219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 3*u - 3. Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170\/8 + 3\/4 is divided by ((-2)\/(-18) + (-1508)\/(-117))\/1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*c**2*u**2*z**2 + 27*c**2*u**2 + 43*c**2*u*z**2 + 1062*u**2 with respect to z.\nAnswer: -42*c**2*u**2*z + 86*c**2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 - 10. Let b = r - -225. Calculate the greatest common factor of 154 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = -64*f + 66*f. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 3*y**3 + 0*y**3 + (0*y**2 + 2*y**2 - 4*y**2)*(-1 + 1 + 2*y) - 2131*y**2 + 2131*y**2 + 76*y**3 + (-2*y**2 - 3*y**2 + 7*y**2)*(y + y + 0*y).\nAnswer: 77*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, 0.6, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185\/14 - -33255\/2506. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703989797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58011, -116008, -173997, -231972, -289927, -347856, -405753?\nAnswer: -463612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -113, -2 in descending order.\nAnswer: 6, -2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2. Let b(w) = 2*w + 4*w - 2*w. Let u(s) = s**2 + s. Let y be (-18)\/(-24) - (-1)\/4. Let a(m) = y*b(m) - 4*u(m). Calculate d(a(r)).\nAnswer: -32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.5 - 2. Let q = 2353\/3 + -785. Which is the closest to q? (a) -5 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(2*sqrt(256) + sqrt(256)) + 3 + (sqrt(110)\/(sqrt(20)\/sqrt(2)*-4)*-5)**2.\nAnswer: sqrt(11)\/24 + 323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243858 or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -114706833 minus 71?\nAnswer: -114706904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 826*w - 3304. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/36 and (-90)\/(-168)*(-1 + 34\/(-8)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -521, -782, -1043, -1304, -1565?\nAnswer: -1826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*z - 32. Let p be (-1 - 3)\/z + 3. What is the second derivative of -p + 4 - 30*a**3 + 76*a**3 + 18*a wrt a?\nAnswer: 276*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 4:09 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603850957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 10*a - 10. Let n be 4\/6*(-7)\/(42\/18). Let u be ((-96)\/60)\/(n - (-33)\/15). Determine i(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 336 - 3700\/11. Calculate the common denominator of 21\/10 and l.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 13. Let i be q(-3). Solve -p = -4*x - 0*p - i, -2*x + 3*p - 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38998 less than 12.686?\nAnswer: 39010.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2)*-2*-138 + 4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 9, q: 2, j: 2, o: 1, n: 3}. What is prob of sequence jj?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*c - 228*c = 5*n + 73, 15 = -5*c + n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 7*m**4\/12 - m**3\/2 - 357*m**2 - m. Let j(c) = -19*c. Determine j(h(x)).\nAnswer: -266*x + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 44*v + 1. Let q(h) = -4611*h - 15. Determine 15*l(g) + q(g).\nAnswer: -3951*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b. What is the remainder when 48 is divided by 3*(-65)\/(-15) - b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*(-92)\/6. Let m = -89\/4 - c. Put 1, m, -5 in ascending order.\nAnswer: -5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*t + 3*t = -26, -5*l + 3*t + 38 = 0. Let v(j) = -3*j**2 + l*j**2 - 2 - 7*j**2. Let a(c) = -4*c**2 - 3. What is -2*a(s) + 3*v(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -3.22?\nAnswer: 9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let i = h - 0.2. Is -1\/6 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v - 7. Let l(y) = 7*y - 6. Let q(w) = -6*l(w) + 5*z(w). Let u be q(-2). Let t(k) = -k**2 + 8*k - 6. What is the units digit of t(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -240*t + 148. Is d(-16) a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1836*t**2*x**3 + 3*t*x**3 + 5*x**3 wrt t?\nAnswer: 3672*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5218 + 19482 = 950*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**5 - h**4 - 7125*h**3 + 27*h**2 + 32249*h wrt h.\nAnswer: -300*h**2 - 24*h - 42750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**4\/12 + 8*g**3\/3 - 9*g**2 + 3*g. Let z be n(-17). Let a(c) = 4*c**3 + c**2 + 2*c + 1. Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2002, 2059, 2158, 2299, 2482, 2707?\n\"Answer: 21*v**2 - 6*v + 1987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -236 divided by 118?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10\/27, -5, 3\/4, -14, 0.08, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 73*g**2 - 276*g - 16. Calculate l(-69).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*f + 100*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*o - 9. Let b = 16 - 14. Suppose 0 = 3*a + 5*k - 6, 0*k = o*a - b*k - 4. Solve -a*s + 2 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*y + 760*y - 629 = 5566 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2779 - 1965. What are the prime factors of i?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 - 848 + 2576 - 863 - 865. Let q(v) = -v. Let i(l) = -6*l. Let u(x) = i(x) - 12*q(x). Give u(y(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u = 2*i + 33*u - 4, -3*u = -i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:30 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242 by 5661.\nAnswer: 242\/5661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1848)\/(-4158))\/(26\/27)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40576704277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050309 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414863 a multiple of 435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99.14 - -1437.14. Put -2\/9, f, 5, -3, 2\/7 in descending order.\nAnswer: f, 5, 2\/7, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = -3*y - 2*k + 168, 10 = -5*y - 3*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/15766135 and -5\/847?\nAnswer: 173427485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/(w\/w**47))*w**8)\/(w**(-25)\/w**24) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -39. Let f be 7\/(-14) + (-10)\/(-4). Let g be -3 + (f - 0) + 6. Solve -y + 1 = g*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64251.33 litres to millilitres.\nAnswer: 64251330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134737727 to the nearest integer?\nAnswer: 33686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 17 = -189*b + 190*b, 4*y + 7 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. What is s(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -384169246*n + 1226541014 wrt n.\nAnswer: -384169246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -54, 1, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3793 to two decimal places.\nAnswer: -5.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16856?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 16. Let h(m) = m + 6. Let w be h(i). What is the third biggest value in 0.4, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/14 + (-2)\/(-7). Let t(s) = 5*s**3 + 9*s**2 - 6*s - 2. Let x(d) = -2*d**3 - 3*d**2 + 2*d + 1. Let k(l) = -4*t(l) - 11*x(l). Determine k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oioi when four letters picked without replacement from {o: 2, i: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -14 - (86 - 80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-223*p + 1538 - 1298 + 250*p)*(-3*p + 5*p - p).\nAnswer: 27*p**2 + 240*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8238.5113 to the nearest 10.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/3 - (-845 - -890)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490.403t in nanograms?\nAnswer: 7490403000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*r = -2 - 7, -4*a = r - 23. Let l be (-14)\/(-8) - 5\/(-120)*a. Let u = 13 + -3. Solve g + l*t - 10 = -3*g, -t + u = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 806371477 and 0.042?\nAnswer: 806371476.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206 and 382302.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13213*i**2*u**2 - 163*i**2*u + 1117*i*u**2 - 3112*i - 2 wrt i.\nAnswer: 26426*u**2 - 326*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 23*g + 368. Give r(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/21972162 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7752127 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/26 and ((-192)\/3200)\/((-6)\/235)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364322.9 rounded to the nearest 1000?\nAnswer: 6364000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36250740 divided by -243.\nAnswer: 149180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**3 - 84*t**2 + 356*t + 432.\nAnswer: -4*(t - 4)*(t + 1)*(2*t + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + y**2 + (y + 4*y - 3*y)*(94 + 125 + 121 - 6611*y - 340).\nAnswer: -13221*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6011685 and 10935.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9634310333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1222*j + 5401. Is h(51) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l\/l**3*l*l)*l*l)**35*(l\/(l*l*l**(2\/27)*l))**(1\/17) assuming l is positive.\nAnswer: l**(16009\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-9)*f**(-1\/6)\/f)\/(f**0)**(-41) assuming f is positive.\nAnswer: f**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + -162366?\nAnswer: -162445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, 3*p - 223 - 19 = 4*c. Suppose -2*a - 142 = 12. Let f = c - a. What is the highest common divisor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00327267747 rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 774679.5 micrometers in nanometers?\nAnswer: 774679500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40066896 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 681*j. Let r(t) = 7*t - 27. Give r(i(g)).\nAnswer: 4767*g - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*d + 5*d - 3*d + 16*d + 3*d + 2 to j + v*d and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23670\/11 - 2152. What is the closest to b in 1, 2\/7, 25?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 28890412.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1 + 2)\/(-5) + 70. Which is the closest to 0.2? (a) i (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 367255?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4212*f**4*t + f**3*t**2 + 16*t**2 + 481 wrt f.\nAnswer: 16848*f**3*t + 3*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 0.\nAnswer: -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.5. Let p = -99 + 31. Let o be -3*p\/(-60) - 4\/(-10). Which is the biggest value? (a) 0.3 (b) y (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s = -3287 + 2326 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000069464 to 7 dps.\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 75 = -p. Calculate the smallest common multiple of 24 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24.5, -2, 0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdhfdddfdhdfddh. What is prob of sequence fff?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*m + 4*m + 117*m + (-4*m + 2*m + 4*m)*(0 + 3 - 2))*(2 + 7 - 4).\nAnswer: 360*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 1520766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2017\/3 - -648. Let f = -977 - -4098. Let b = f + -21810\/7. Find the common denominator of z and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 5*n**2 + 6*n + 5. List the prime factors of p(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 8*t - 17. What is the remainder when 281 is divided by j(4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Suppose 0 = -5*v - 20, -4*u = g*v - 3*v - 16. Solve m = -u*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1001000?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017230339 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*v - 57, -11*h + 64 = 5*v - 12*h. What is the second derivative of -2*d**3 + 21*d**2 - 53*d**2 - v*d + 0*d wrt d?\nAnswer: -12*d - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -504177 times -2?\nAnswer: 1008354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -60590\nAnswer: -18177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 755870 and 2885?\nAnswer: 755870","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5*o**2 + 1824*o - 1824*o + 3.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 504 - -130. Let u(z) = 44*z + 15. Let t be u(6). Let n = l - t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*d**4 + 171*d**3 + 312*d**2 + 44*d.\nAnswer: d*(d + 2)*(d + 11)*(13*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1341165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -3826, -12636, -29726, -57856, -99786, -158276?\nAnswer: -236086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1400573?\nAnswer: 887, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 5*k + 31, 4*k = 907*m - 908*m - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49301443*k*q**3 + 2*q**3 + q**2 - 33040*q + 9 wrt k.\nAnswer: 49301443*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104.18 - -104. Let a = -0.28 - u. Let v = 35\/2 - 18. What is the smallest value in a, v, 1\/12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e40b6b2 - 1?\nAnswer: -e40b6b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/(-4) - 15\/18*63\/(-70).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 607, 1 in descending order.\nAnswer: 607, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53223 + 394599 = -2727*g + 10855*g for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 2072 = -63*p + 18*p. What is the highest common divisor of 962 and p?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -680, -707, -708, -683, -632?\n\"Answer: 13*m**2 - 66*m - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*s - 3*s - 4*f, f = -3*s + 33. What is the units digit of (-2*s*1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Suppose -4*f + 4 = 2*p + 6, 4*p = 2*f - 24. Let c(v) = 4*v + f*v - v + 13*v. Determine c(b(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13589712 rounded to 3 dps?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q + 2*q + 6*q**2 + 7 - 3*q**2. Suppose -12*r + 16*r - 28 = 0. Let v(d) = 4*d**2 + 6*d + 10. Give r*j(h) - 5*v(h).\nAnswer: h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 12, -42, -136, -282, -492?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 2. Let s = -72 - -70. Let f(t) = 2*t + 2. Let w(a) = 8*a + 8. Let x(p) = s*w(p) + 9*f(p). Calculate -4*x(c) + 3*y(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12321 - -200023?\nAnswer: 121102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -349857 less than or equal to -349857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 39785*s = -39782*s + 4, -z - 5*s - 14 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**4 - 210*u**2 - 265*u?\nAnswer: -24*u**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4238942 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 15 = 7*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:40 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 j when four letters picked without replacement from {k: 3, j: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.16222 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 39*a - 141. Give w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 498661387 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1343262865 - 0.25.\nAnswer: -1343262865.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 550704 (base 13) to base 4\nAnswer: 13220121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q*q**2))**7*q**(-7\/4)\/(q**(-3\/4)\/q*q))\/((q*q\/q**1)**25\/(q**(-2\/25)*q**4*q)) assuming q is positive.\nAnswer: q**(-877\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.059+8.162531\nAnswer: 8.221531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -299905215190.6 minus 0.5?\nAnswer: -299905215191.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 - a**4 + a**4 + a**3 - a**3 - 2*a**5 - a**5 - 3*a**5 + 3*a**5 - 4*a**3 + 4*a**3 - 4*a**5 + (1 + 4 - 4)*(-2*a + 2*a - a**5) + 2*a**5 - a + a.\nAnswer: -7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.528 + -9.5. Let u = v + -0.02799827. What is u rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34082102?\nAnswer: 2, 2749, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 323420177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) 137 (b) -4 (c) -10 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - 0.3. Let t = -613996\/11 - -55818. Put t, -3\/7, 2, f in descending order.\nAnswer: 2, t, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12*m)\/(m\/(m**(-1\/18)\/m))*(m**(-1))**(-10\/7) assuming m is positive.\nAnswer: m**(1559\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 64c13c?\nAnswer: -64c13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57161 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/16982 and -67\/22.\nAnswer: 186802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b**(1\/3)\/b)\/b)**1*b\/(b*b**(-1\/2))*b**7\/b assuming b is positive.\nAnswer: b**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:07 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**2\/2 + 10*a + 3. Let u be n(-7). Solve -4*z - u = 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70)*2 - (sqrt(70)*2*-2 - sqrt(70)))\/((sqrt(30)\/sqrt(12) - sqrt(10))*3))**2*3.\nAnswer: 1372\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/15060 and 145\/24.\nAnswer: 30120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417563 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 8*n**2 - 1\/12*n**4 + 0*n + 1\/15*n**5 + 0 - 1\/6*n**3. Let s be a(-1). Solve -5*w = 4*t + 23, -t + s*w + 21 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -7. Suppose 0 = 3*z - 6*z + g. Suppose -z*k + 3*k + 22 = 0. Solve 0*x + 7 = 5*p - 3*x, 0 = -p + 3*x + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -583*45\/990 - -28?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/20 + q**4\/4 + q**3\/2 + 88*q**2. Determine w so that a(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88191552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-10))\/((-2)\/(-5)). Suppose 4*m - 5*o = 187, x*m - 92 = -0*m + 2*o. Let y(p) = 43*p - 12*p**2 - m*p. Let c(l) = l**2. Give c(y(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/((-6)\/(-36))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 3, -2, 1, -1, -212.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/390 and -125\/624?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*y = -0*k + 37, 2*k = 2*y - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093028 rounded to 4 decimal places?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37336 - 89064 = -3950*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19 (b) -668 (c) -1\/3 (d) -25\/4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640*d + 2416*d**2 + 2416*d**2 - 4827*d**2 = 0. Calculate d.\nAnswer: -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/48709 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 14\/20*(-84)\/(-147)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 - 2*z**2 + 2*z + 2. Let p(u) = -14*u + 15*u**2 - 15 - 3*u + 2*u + 36*u**3. Let b = -934 + 936. Determine b*p(d) + 15*m(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Let s(x) = x**3 + x**i - 13*x + 13*x + 46. Does 23 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 20*n**2 - 20*n - 16. Let p be b(21). Suppose 0*v + 4*h = p*v + 30, -v + 4*h - 6 = 0. Let z = -2 - v. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 64 = 19*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*x + 188 = 0, 3*x - 7*x = -r + 44. Suppose -13*b = 7*b - r. Solve 3*f + 10 = -d, 5*d - 2 = -b*f + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.19 + -27788.\nAnswer: -27786.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12125917997 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 2788400 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (7 + -5)) + (0 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 433, 870, 1307, 1744, 2181, 2618?\n\"Answer: 437*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-84)\/24)\/(-7))\/((48\/(-8))\/(-384))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*v**3 - v**2 + 201*v?\nAnswer: 348*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9 + 1 - 2 + 7*k - 2*k. Let c(t) = 6*t + 9. Let a be 3*(2 + (-20)\/(9 - 4)). Give a*c(q) + 7*h(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17034305.\nAnswer: 5, 367, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 95563787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/42697 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-2 + 7)) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1642, -6464, -14506, -25768, -40250?\n\"Answer: -1610*o**2 + 8*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l. Solve l = -4*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2 + 2 + 1 - 2 + 6*v + 4 + 8*v**2. Let p(k) = 7*k**2 + 5*k + 6. Suppose 0 = -3*u - 2*u - 30. What is u*b(l) + 7*p(l)?\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 4, v: 8, a: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 390*h**7\/7 - h**4\/2 + 449*h**3\/3 - 570. What is the third derivative of o(j) wrt j?\nAnswer: 46800*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846.507 millilitres in litres?\nAnswer: 5.846507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611705 to the power of 1\/2, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 2, 56, -1, 9 in decreasing order.\nAnswer: 56, 9, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 7)*(4110 + 872*y - 4110).\nAnswer: 4360*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192275 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.432 - -4.5. Let q = -4.932 - u. Which is the closest to -1? (a) -14 (b) q (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 21*s**2 - s. Let y(r) be the first derivative of r**6\/360 + 41*r**3\/3 + 1. Let l(t) be the third derivative of y(t). Determine u(l(q)).\nAnswer: 21*q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 363b0?\nAnswer: 363b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/84 - a**5\/10 + 3*a**2. Find the third derivative of l(h) wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*x**4 - 339*x**3 - 2*x + 3*x**2 + 332*x**3 - 3*x**2 as v*x**2 + h + y*x + z*x**4 + p*x**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**4 + 0*y**3 + 0*y**3)*(-12 - 11 + 13 - 16) to g*y**4 + h + k*y**2 + z*y + n*y**3 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, y: 4}. What is prob of sequence yyxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, y: 1, o: 1, b: 6, q: 3}. Give prob of picking 2 q and 2 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170 - 166. Calculate the lowest common multiple of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 145.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.43 - -0.43. Let y = 22.5 + c. Sort y, 0.1, 4 in descending order.\nAnswer: 4, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 - 3*r**2 - 9 + 7*r + 10*r - 2*r.\nAnswer: -3*(r - 4)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 29)*60\/25. Let j = t - -110. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 62. Suppose 2*t + 4 = -x, a*x = -3*x - 4*t - 6. Let w be 14*2 + (3 - 30\/5). Solve -x*v = 3*v + w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d\/(((d**(-19)*d)\/d)\/d)*d)*d**2 assuming d is positive.\nAnswer: d**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -497*d**2 - 27*d - 1 wrt d?\nAnswer: -994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -7 + 20\/14. Let z be 0*(24\/9 + -3). Let s be -3 - (z - (-35)\/(-11)). Which is the third smallest value? (a) -0.3 (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 17*f**2 + 17*f + 7. Let l(u) = u**3 + 6*u**2 + 6*u + 2. Let y(a) = -17*l(a) + 6*o(a). Let w(j) = 1. Calculate 14*w(i) - 2*y(i).\nAnswer: -2*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - w**5\/12 + 7*w**3\/6 + 3*w**2. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2. Suppose o*q = q. Solve -2*k = 2*k - 4*a + 24, 4*k + 3*a + 10 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - n - 21, -301*v = -148*v - 150*v + n + 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 9 = -4*x. Suppose 0*y + 3*y - 177 = -5*s, -2*s = x*y - 69. Let g = 1663 - 1522. What is the remainder when g is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 - 5*j**2 + 2*j**2 + (-j - 2*j + j)*(-j + 4*j - j) - 3 + 3 + j**2 + 2*j**2 + 0*j**2 - 4*j**2 to the form t*j**2 + s*j + f and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0.1042, 117?\nAnswer: 0.1042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2. Let x(n) = -37*n + 25*n - 22*n. Calculate a(x(d)).\nAnswer: -3468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2189\/(-21890) - 3\/((-30)\/61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose -2\/9*k**5 + 4\/9*k**3 + 14\/9*k + 4\/9 + 16\/9*k**2 - 4\/9*k**y = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -85, -1, -2, 162 in increasing order.\nAnswer: -85, -2, -1, 3, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*d**5*v - d**3*v + 9*d**2*v - 16*d*v wrt d.\nAnswer: -3960*d**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 286, 1249, 2858, 5113, 8014, 11561, 15754?\n\"Answer: 323*c**2 - 6*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*4 + 2 + (sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(4) + -2)))**2.\nAnswer: 24*sqrt(11) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -3 - (-35 + 8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 17. Calculate the highest common factor of o and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-3)\/2*-1486 + -36 + 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*1 - sqrt(11))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7234780\/83 - 261500\/3. Let d = -2\/83 + h. What is the second smallest value in d, -2, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 17. Calculate v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*x = -14, 15 = -5*p - x + 42. Let o(y) = 0*y + 203 - p*y - 219. List the prime factors of o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Suppose 4*b - 7*l + 2*l = -30, t = -b + 4*l. Let p be (-36)\/(-10) - (-6)\/b. Calculate the greatest common divisor of 9 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 656894 and 490.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 4, 157, -3, 2.\nAnswer: -17, -3, 2, 4, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18086 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - y - 9. Suppose -k - 4 = 4*q + k, -k = 5*q + 2. Determine c(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.2866629 rounded to 1 dp?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o - 15*o + 15*o - 13*o)*(66 + 129 + 135).\nAnswer: -8580*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) + sqrt(891) + -1)**2 + sqrt(55)\/(-1*sqrt(5)).\nAnswer: -20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2 + 4 + 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21570428 divided by -5392607?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3948, -3753, -3552, -3345, -3132, -2913?\nAnswer: -2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -24. Let q = u - 19. Solve -12 = -5*w + 4*f, -w - 3*f = -q*w + 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 5599*h + 4197.\nAnswer: (h - 1399)*(4*h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 x, and 1 n when four letters picked without replacement from {g: 1, e: 1, a: 1, x: 2, n: 1, d: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*2\/(-68) + ((-108)\/51 - (-33 - -49))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110100122 - -10?\nAnswer: 12110100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5775*t**2 - 5775*t**2 + 33*t**3.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 535*r**2 + 8*r - 9. Let k be s(5). Suppose -10*n = -k - 284. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/4*16\/3. Let n(m) = -97*m**2 + m. Let u be n(-1). Let a = u + 210. Calculate the highest common divisor of y and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310 - 0.4\nAnswer: -310.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5849.228 grams to kilograms.\nAnswer: 5.849228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16545225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1108 and -157.\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 6)*1*2. Let p(w) = -w**3 + w. Let k be p(-2). Suppose -2*r + k = 4*j, 5*j - 2*r = 3*r - 15. Put 4, d, -1, j in descending order.\nAnswer: d, 4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 7*h**4\/24 - 7*h**3\/6 - 8*h**2. Let p be d(3). Is p\/(-14) + (-1 - -85) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 7 = 12*u + 8, -u = y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1908\/5 - -17243\/45. What is the common denominator of a and 53\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 100. Let c = a - -45. Solve c*h - 2 - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3690.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 37100*b - 74216.\nAnswer: 4*(b - 2)*(b + 9277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-125)*5*15\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + i + 5 = 0, -4562*i + 4565*i = j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191 - 187. Suppose 38 = 2*h - 5*q + y*q, -3*h + 83 = 5*q. What is the greatest common divisor of 168 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*k**2 - 150*k + 150*k as z*k + x + a*k**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/4 + 249*w**3\/4 - 7635*w**2\/4 + 7383*w\/4 = 0 for w.\nAnswer: -107, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (79 + -32 - 41).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let p = 309 + -309. Suppose 2*i - 19*i + 85 = p. Sort i, -5, r in descending order.\nAnswer: i, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617782?\nAnswer: 2, 11, 28081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 30*w**2 - 215*w + 11. Let t be g(-6). Solve -3*b - 3 = 4*y, t*b = 5*y - 22 - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 47*y**3 + 3*y**2 + 4 + 44*y - 43*y to the form d + b*y**3 + z*y**2 + i*y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136104 and 15996072?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.036 times -0.0729\nAnswer: -0.0026244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 - -794. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 185690000 to the nearest 1000000.\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 851169.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7141 and 342289553.\nAnswer: 7141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 10. Let s(l) be the second derivative of -l**4\/12 + 11*l**3\/6 + 11*l**2\/2 + 845*l. What is the tens digit of s(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*j**2 + 98 - 28\/3*j.\nAnswer: 2*(j - 21)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14658005 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7245738 litres in millilitres?\nAnswer: 724.5738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(3*u**5 + u**5 - 2*u**5 + (3*u**4 - 2*u**2 + 2*u**2)*(-2*u - 6*u - 10*u)).\nAnswer: 104*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -333240*f. Let g(s) = -28*s. Give g(o(b)).\nAnswer: 9330720*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -75. Let j = l + 94. Calculate the greatest common factor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -5\/3054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2556 divided by 36\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.97 - 5. Let c = -294 - -294. Let l be c + 0 - (-27)\/(-243). Put -9, l, w in decreasing order.\nAnswer: w, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 7b?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*0\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - 0) + 5 + (5 - (4 - 15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1941, 3896, 5851, 7806, 9761?\nAnswer: 11716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -2*s**3\/3 + 8*s**2 - 5*s. Let d be z(5). What is the common denominator of ((-129)\/(-75) - 3)\/(6\/d) and 97\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -1\/30*x**5 + 3*x**2 + 0*x + 0*x**4 + 0 + 1\/3*x**3. Differentiate k(p) with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h - 3. Let j(b) = b**3 - b**2 - 4*b - 1. Let v be (12\/(-10))\/((-6)\/15). Let s be j(v). What is the greatest common factor of h and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j**3 + 19*j**3 - 5*j - 163 - 2*j**2 + 5*j.\nAnswer: 31*j**3 - 2*j**2 - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 - 8?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 4 + 1)*((-4*b + 2*b + 0*b)*(3*b + 0*b - 2*b) + 7*b**2 - b + b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m - 3 = 0, 416 = -5*p - 4*m. Let s = 143 + p. Find the second derivative of 59 - 27*f - s - 11*f**2 wrt f.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) -17 (c) 3 (d) -2\/11 (e) 8 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2)*-1 + -4) - 4*sqrt(8)*4.\nAnswer: -30*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2) + 3 + (sqrt(90)\/sqrt(5))\/sqrt(9) + 4.\nAnswer: 2*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/17? (a) -0.5 (b) -4 (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -108.07. Sort -5, -4, u.\nAnswer: -5, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30131 - 3403?\nAnswer: -34034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.76 + 0.84. What is the closest to f in -3, -0.3, -5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1621848 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -393*y**3 - y**2 + 2*y + 8. List the prime factors of n(-2).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 897 and 105.\nAnswer: 31395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 take away 0.541911?\nAnswer: -67.541911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g**29)**(-27) assuming g is positive.\nAnswer: g**(-1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -21 + 0*o - 1\/12*o**4 - 26\/3*o**3 + 0*o**6 + 0*o**5 - 3*o**2 + 13\/210*o**7. What is the first derivative of z(l) wrt l?\nAnswer: 52*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.98 - -6.58. Let w = 2.599207 - d. What is w rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 + 5 - ((-2 - -1) + 0). Let w(c) = -10*c + 3. Let d(b) = -9*b + 2. Give f*d(i) + 3*w(i).\nAnswer: 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 6:17 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1890 divided by 94348\nAnswer: 945\/47174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 184*r - 1. Let q(u) = -u**2 + 4*u - 3. Let k be q(2). What are the prime factors of z(k)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 23270294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/15))**(28\/9))**21 assuming o is positive.\nAnswer: o**(2548\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h - 2 = -3*a, 0 = h - 4. Let t(d) = -156*d + 36. Let n be t(0). Suppose 2824*f - 2815*f = n. Sort f, a, 5, 3 in increasing order.\nAnswer: 3, f, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -31, -61, -103?\n\"Answer: -6*k**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 119*d**3 - 2*d**2 - 2*d + 1. Suppose y = 5*g - y - 13, -5*y = 20. Let c(b) = 2*b**3 - b**2 + b. Let o be c(g). Is w(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 33095.\nAnswer: 364045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -50*g**2 + 42*g**2 + 105 - 11*g**5 - 20*g + 8*g**2. Differentiate m(t) with respect to t.\nAnswer: -220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 144 and 0.17.\nAnswer: 24.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 - 5?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 10. Let s(v) = -v**3 - 8*v**2 - 5*v + 8. Let b be s(-7). Let i = b + 10. Sort 5, i, g.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-24))\/(2\/(-126)). Let o = i + -17. Let q = o - 4. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + -2 + 66 + 153 + -267 + 114\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 27984705?\nAnswer: -111938820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 20, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 1. Let p be h(-1). Is p bigger than -1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/90, 20, 126, -2\/17 in increasing order.\nAnswer: -2\/17, -1\/90, 20, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 0.55. What is the third smallest value in r, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z + 25*z + 318. Do z and -159 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 3*d = -6, -4*n + 4*d + 669 = 621 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 14 = 3*s - 4*f, -2*s + f + 6 = 0. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -11. Suppose 5*u = -n + 14, -4*u = u + 3*n - 22. Solve -2*t + 3 = u*y + m, y = 4*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**4\/2 + 40*x**3\/3 - 37*x**2 + 36*x + 213. Factor j(c).\nAnswer: -2*(c - 18)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.78111 meters to kilometers.\nAnswer: 0.00578111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*((-271615)\/48 - -2). Let m = h - 16964. Let z = -872 - -8837\/10. Find the common denominator of m and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 19, -1 in ascending order.\nAnswer: -3, -2, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40300 and 3627.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077495 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19001*o**2 - 2*o - 1. Let r be m(-1). Round r to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 156.1.\nAnswer: -78.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3779 + 2.3479. Which is the nearest to 21.2? (a) -2\/5 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, g: 3, j: 4}. Give prob of sequence jg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-16)\/(-32))*1272\/(-27560)?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 15, s: 4}. What is prob of picking 2 b?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2909156\/7 - 415594. Let q = 0 - 0.2. Which is the nearest to 1? (a) 97 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325023?\nAnswer: 3, 17, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465846450 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -8684*l**5 - 385382*l**4 + 242750*l**3 - 7384*l**2 - 8280*l = 0.\nAnswer: -45, -2\/13, 0, 46\/167, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 64. Suppose 3 = f + s*j + 1, 5*j - 1 = -2*f. Sort 5, f, -4 in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47545940 rounded to the nearest 10000?\nAnswer: 47550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) -20\/39 (d) 259 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -184874747 divided by 523\nAnswer: -353489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -7. Let s(l) = -3*l**2 + 7*l. Let m(a) = -a**2. Let q(p) = 4*m(p) - s(p). Determine q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = 6. Let c = l + 27. Calculate the lowest common multiple of 20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 35115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.482l in millilitres?\nAnswer: 386482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1912*s - 460 = -1797*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -0.4 (c) 4 (d) 9 (e) 0.1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) 0 (b) 1\/5 (c) -0.3 (d) -1.211 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 4. Let q(w) = j*w**2 + 3*w - 2*w - w. Let z(i) = -i**2. What is q(z(y))?\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1008, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7042036km in centimeters?\nAnswer: 70420.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*l**3*m**3 + 3*l**2*q**2 - 6*l**2*q - 3*l*m**3 - 2*l*q + l + 2*m**2*q**2 - 2 wrt l?\nAnswer: 708*l*m**3 + 6*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -30304514441?\nAnswer: 30304514432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -232005 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -24. Let p be (0 + -2 - (3 - 9)) + h. Let y be (-41)\/5 - p\/(-85). Which is smaller: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 - (1082 - 1074).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hth when three letters picked without replacement from tttthth.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 57. Let m be (-28)\/(-6) + 2\/(1 - x). What is the remainder when 2655\/m*(-4)\/(-12) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3 (b) 4 (c) -21\/8 (d) 2 (e) 1\/5 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + -20101?\nAnswer: -21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2337192 (base 12) to base 2\nAnswer: 11001111010011100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 28*r + 148*r**2 - 150*r**2 + 3 + 18. What is the derivative of z(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 285. Let y = -159.0069 - b. Round y to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17009979 and 435?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 400447824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((122\/305)\/(-2*3\/30))\/(210\/4305)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p. Let w be s(-1). Solve 12 = w*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 4*y + 61, 12*x + 6095 - 6113 = 3*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.068 - 0.932. Sort 0.3, 7, t in decreasing order.\nAnswer: 7, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -358, -323, -268, -187, -74, 77, 272?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r - 5. Let w be c(6). Let o = -13 + w. What is the units digit of (-1)\/(-2) - o\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20095 times -13.11\nAnswer: 263445.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z + 2*z)*(5*z**2 - 5*z**2 + 3*z**4) + (-2*z + 2 + 0 - 1)*(3*z**4 - 3*z**4 + 3*z**4).\nAnswer: -3*z**5 + 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/95951 or -1?\nAnswer: -1\/95951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 7552*n + 106070. Calculate f(-14).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -44554 not equal to -44555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(1200) + 4)*-5*-5.\nAnswer: 150 + 1000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*k + 44899 - 4579. What is the lowest common multiple of k and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (103 - -3)*(4 + -11 + (-1977)\/(-282)). Does s = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1225 - -1466. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 + 169*l + 92 - 44 to the form f + d*l and give d.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1643 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 42?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4338, -8684, -13034, -17388, -21746?\nAnswer: -26108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1298 * 0.032\nAnswer: -0.0041536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40560008 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:49 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 62825.884 + -0.09\nAnswer: 62825.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -56*r + 222. Determine q(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 8*u**2 - 6*u + 7. Calculate y(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 19*w + 296. Do -10 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 410166 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -717562.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/19 - 352513948*j\/19 + 15533260441818338\/19.\nAnswer: 2*(j - 88128487)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-121)\/99))\/(((-6)\/36)\/(8\/9))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-33.3569052\nAnswer: 3.33569052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyiiiiiyiyiiiiiiyii. Give prob of sequence ii.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s, 5*s + 175 = -3*x + 8*x. Let j = 45 + -40. Suppose -j*n + 2*n + x = 0. What is the highest common divisor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 48. Suppose -2*k + 3*q = -10, 5*q = -s*k + 4*k - 24. Suppose -10*a - k = -1091. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171.4 + 171. Let h be 1 - (12\/3)\/4. What is the biggest value in k, -3.2, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1355041931 + -0.2.\nAnswer: -1355041931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71 + 70 + -59*2\/16 and 33\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g**2 - 9*g**2 + 7*g**2 - 10*g**2.\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264556161 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {w: 2, t: 5, s: 8, d: 2, h: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 1625?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 10. Let a(b) = -b**3 - 6*b**2 - 6*b + 5. Let m be a(-5). Let n be j(m). Solve -i - 4*r - 4 = 0, -5*i + n*r - 1 = r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/164 and -813975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-11\/4))**45\/(u**(-5)\/((u*u**(-1\/5))\/u)))**(-15) assuming u is positive.\nAnswer: u**(7137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) - sqrt(2178)*-2)\/sqrt(6) - sqrt(33)\/(sqrt(33)\/sqrt(3))*-6 - ((3*sqrt(240))\/sqrt(10))\/(-4*(sqrt(8) + sqrt(200))).\nAnswer: 313*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 40 + 48 + 9*h - 88. Let a(q) = q. What is a(d(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 7*u + 4*u - 25, -25 = -5*o + 5*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times -974499?\nAnswer: 1364298.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291*p + 68*p + 631*p.\nAnswer: 990*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2227cc0 + 5?\nAnswer: 2227cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2)*p)\/(p**(-2\/3)*p))\/((p\/p**2)\/p*p**(2\/3)))\/(((p\/(p**1\/p)*p)\/((p\/(p*p**(1\/2)*p))\/p*p))\/(p**(2\/7))**(-28)) assuming p is positive.\nAnswer: p**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-12)\/((m*m\/m**(-9))\/m))**37*((m**2\/m)\/m)**(-1\/7)\/(m*m**(-7\/4)*m**(-2)) assuming m is positive.\nAnswer: m**(-3245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 134542110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 729*g**3\/7 + 146205*g**2\/7 + 7354863*g\/7 + 2435403\/7 = 0.\nAnswer: -901\/9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.93 - 74. Let w = i + 0.07. Let z = 2 - 1. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50 + 1362?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 585 = 594 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 1750273536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**2 + 13*m. Let f be i(8). What is the tens digit of (-1)\/((12\/f)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82004014 and 4.\nAnswer: 164008028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w + 27. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301.1 - 317. What is i rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**5\/20 - h**4\/3 - h**3\/3 + 3*h**2\/2 + 349*h + 3. Give z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -551, -853, -1155, -1457?\n\"Answer: -302*a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6336) - sqrt(6336)*4) + sqrt(44))\/sqrt(4).\nAnswer: -35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.71 + 1.71. What is the nearest to x in -1\/3, -11\/5, 1, -1?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 3*m - 158 + 170, -3*j - 4*m = 18 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12045 + 5143?\nAnswer: -3602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.1*-1.1.\nAnswer: 21.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*k**2 + 71*k**2 - 1544 - 67*k**6 - 4*k**3 + 1538 wrt k.\nAnswer: -8040*k**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 2*b**4 + 6 + b**3 - 6 + 1 + b in the form g*b**2 + t*b**4 + h*b**3 + u*b + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 67. Suppose 6*z - 2*z - 13 = -5*r, 2 = -2*r + 2*z. Solve -k - p = -2*f, 4*k - 3 = -4*f + r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - g**2 + 0)*(6*g - g + 0*g + (-2 + 1 - 1)*(2 - 2 + 2*g)) to the form m*g**2 + u + t*g**3 + j*g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 135222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 2 + 1690*l**2 + 5\/12*l**4 + 47*l + 130\/3*l**3. Factor z(p).\nAnswer: 5*(p + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*16\/56 + 2*4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9083 - 5012 = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 4*c**2 + 5*c**2 + 9*c**2 + 5*c + c**3 - 6. Let i be g(14). What is i rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35\/1042 - 7931\/89612. What is the common denominator of m and 9\/22?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 169 - 1015. Suppose -2*c + 113 = -d. What are the prime factors of c?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - -21) + -37 + 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (10 + 2)) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26116121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*158\nAnswer: -331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(66) + sqrt(66))*-5)\/(sqrt(72)\/(sqrt(12)*-1*-1 + sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55582, -222392, -500424, -889678, -1390154, -2001852?\n\"Answer: -55611*q**2 + 23*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from zerqf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 98157.99 minutes?\nAnswer: 1635.9665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppm. What is prob of sequence pm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 139333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 8*z - 2. Let w(m) = 6*m - 7. Let o be w(2). Let r(f) = 3*f**2 - 7*f - 1. Calculate o*p(c) - 6*r(c).\nAnswer: 2*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -220*l**2 - 392*l**2 + 171*l**2 in the form o*l**2 + n*l + c and give o.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**3*u + 302449*p**3 - 185*p**2*u**2 + 77*p**2*u wrt u.\nAnswer: 2*p**3 - 370*p**2*u + 77*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/4)*v**(-3)*v**(-8)\/((v*(v\/v**(2\/23)*v)\/v)\/v) assuming v is positive.\nAnswer: v**(-1119\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 12*s**2 + 10*s + 20. Let g be u(11). What is the common denominator of -39\/16 and g\/28*(-42)\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus -15732.013?\nAnswer: 15741.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1310 and 4?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n. Let w(x) = -6*x. Suppose -28 = -28*t - 0. What is t*w(y) + 6*u(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4216, 4199, 4182, 4165?\nAnswer: 4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 66\/14 + 28\/98. Let m = 0.3 + -0.2. Which is the closest to -1? (a) 0.3 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(10\/13))\/f**(-25))\/(f**6)**45 assuming f is positive.\nAnswer: f**(-3169\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60\/7*b - 57\/7 - 3\/7*b**2.\nAnswer: -3*(b + 1)*(b + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psspvaavpvtspatbvb. What is prob of sequence vtp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 508642 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -109661464 divided by 22?\nAnswer: -4984612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**11\/(p**(-2\/7)\/p**0))**(-2\/101) assuming p is positive.\nAnswer: p**(-48\/707)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 708*u**2 + 1480*u - 1. List the prime factors of v(5).\nAnswer: 19, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255904 or -255902?\nAnswer: -255904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-1 - 0) + 1. Let l(a) = 17 - 19*a - 6 - 16*a**2 + 38*a**2 - 20*a**2. Let k be l(9). Which is greater: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.10626 - -2.5472. Let y = c + -0.44. Round y to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 656, 2, 3, -2, 5 in decreasing order.\nAnswer: 656, 5, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, s: 1, p: 1, u: 9}. Give prob of sequence dus.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54601319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**3 + 39*u**2 + 34*u + 215. Determine w(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.116? (a) 2\/9 (b) -1 (c) 0 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1298874700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 greater than or equal to -1520832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -6\/13 (c) 18096 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2448)*-1*1 + -5 - (3*sqrt(2448) + -3 + sqrt(2448) - 2*(sqrt(2448) + 1)))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + w + 2. Let n(p) = -2*p**2 + 2*p + 2. Let r(v) = -5*b(v) + 4*n(v). List the prime factors of r(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -113, -162, -209, -254, -297?\n\"Answer: f**2 - 54*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/6 - 20*h. Let w(r) = 3*r**2 - 1. Let q(n) = -1. Let l(c) = -q(c) + w(c). Calculate y(l(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t**3 + 3*t**2 - t**2 + 126*t - 130*t to b*t**3 + x*t + j*t**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-355)\/(-5 + 0) + -2. Let t = m + -69. Solve t = -5*w + 2*w + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + n - 2*n)*(n**3 - 2*n**3 - 2*n**3) - 2 + 2 - 2*n**4)*(-4*n + 3*n - 3*n) + 226*n**5 - 72*n**5 + 26*n**5.\nAnswer: 164*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-9) + 22\/99. Let k be (0 + -2)\/((-4)\/m). Solve f - q = -4, 4*q - 11 = -k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -426, -967, -1734, -2733, -3970, -5451, -7182?\nAnswer: -9169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0021*0.3\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -318.3 and -2?\nAnswer: 636.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 108776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f + 13*f - 13*f to the form l + k*f and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -49. Suppose 4 = -2*c + 5*o, -2*c + 6*o - 3*o = 0. Let u be 2\/(-3)*c*(-2)\/g. What is the nearest to 0.7 in -1\/4, u, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 40 = -5*o + 3*u, 0 = -o - u + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = a. Suppose 0 = a*d + 12, -5*k = -d - 0*d - 29. Solve 16 - 6 = k*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 - 2*c + 5. Let j be a(5). Let x(n) = 1. Let i(p) = 2*p + 5. Give j*x(g) + i(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01268753 rounded to 5 dps?\nAnswer: 0.01269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 473 = -4*t. Let l = t + 350. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/142 (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 2. Let f(s) = -27*s - 9. Let q(z) = f(z) - 6*x(z). Calculate q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -12222768.4 to the nearest 10000.\nAnswer: -12220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5598\/4976*(-16)\/(-42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(200\/1815)*6\/117 + 3792\/(-4740)?\nAnswer: 38\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2794, -1687, 152, 2717, 6002, 10001?\n\"Answer: -t**3 + 372*t**2 - 2*t - 3163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:38 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034386812?\nAnswer: 2, 3, 28732967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 5. Let y = 669 + -657. What is the second derivative of -6*p**x + 10*p - 11*p + y*p wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 51 = 7*u. Suppose 4*n + 151 = 5*o - 224, -u*o = 4*n - 225. Let c(m) = 2*m**2 - 2. Let i be c(4). Calculate the highest common divisor of o and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0607206325 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = -333*f + 309*f + 2*z, 4*f - 24 = -2*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/425, -10, 0.0299.\nAnswer: -10, 2\/425, 0.0299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 + h**3 + 0 + 1 - 8*h**2 + 2 - 2*h. Let y be l(0). Suppose -y*j + 740 = 7*j. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -4)\/(-1) + (-3252)\/(-42). Let j = v + -77. What is the fourth biggest value in -2, 1\/12, 0.2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149082638 and 871?\nAnswer: 1938074294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -49*r + 482. Let p be n(5). Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-13)*w**(-2\/17)*w**(-12)*w*w\/((w*((w\/w**(-12))\/w*w)\/w)\/w) assuming w is positive.\nAnswer: w**(-597\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24b669 (base 14) to base 10\nAnswer: -1260765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -397104 divided by 33092?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -2)*(-5)\/10. Suppose -2*v - c - 1 = -2*f, -v - f - 5 = 0. Calculate the common denominator of 417\/(-18) + (v - -6) and -109\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 104476392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6782 - 71c?\nAnswer: -71a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 10*f - 13. Let g be y(10). What is the highest common divisor of g and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, -5, 11, 45, 103, 191?\n\"Answer: w**3 - 3*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8888 divided by 2\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -5 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 - 252*a**2 - 3299*a + 55. Give t(-12).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.668 > 1\/251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, s: 2, v: 1, k: 2, g: 3, j: 1}. Give prob of sequence ms.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -27 (c) -1\/2 (d) -6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*s - 12 = -s, 5*w + s - 12 = 0. Let o be 295\/45 + 16\/36. Suppose 0 = f - 4, f + o = -w*c + 21. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168846 or 168851?\nAnswer: 168846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3033000010 (base 4) to base 2\nAnswer: 11001111000000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102089, -204198, -306303, -408404, -510501, -612594, -714683?\nAnswer: -816768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18548\/5 - 238379\/65. Are 41 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l - 16 = 0. Let a be (-1)\/(l\/(-12)*1). Suppose 1 + 4 = 5*d. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*y - 290*y = 291*y - 2211 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2061\/(-229))\/((-5)\/30*2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335479, 670251, 1005023, 1339795, 1674567, 2009339?\nAnswer: 2344111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (4 - 1582\/84)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 438 - 438. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35554, -71503, -107452?\n\"Answer: -35949*n + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -173669, 0.1, 4 in decreasing order.\nAnswer: 4, 0.1, -173669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - z - 3, 4 = 4*d - 2*z - 2. Let r = -76 - -66. Let m = r + 13. Which is the nearest to d? (a) 0.5 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 19\/12*v**4 - 11*v**2 + 0*v + 0*v**3 + 0 - 17\/60*v**5. What is the second derivative of u(i) wrt i?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77282.97 centuries in decades?\nAnswer: 772829.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/3))\/k)\/k)**(9\/4)*(k**(-10))**(-6\/11))**3 assuming k is positive.\nAnswer: k**(261\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 659 - 1691 - 526*z**2 + 662 + 370.\nAnswer: -526*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 21*u**2 - 34*u + 1068. Determine h(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*p - 22, 4*x - 12 = 2*p + 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -799\/682 + 5\/62. What is the second smallest value in -1\/3, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21193.2 to the nearest 100.\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12*b + 10. Let n(i) = 4*i + 3. What is -14*n(x) + 4*r(x)?\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.347 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58282024.\nAnswer: 2, 7285253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 5*l + 2. Let n be u(5). Let y(h) = h**3 - h**2 - 3*h + 3. What is the smallest common multiple of y(n) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 4*w - 3*w - 110*w**4 + 3*w - 4 wrt w?\nAnswer: -1320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -0.57665.\nAnswer: 4.42335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -32. Suppose 2*r + 20 = -2*r. Put z, 1, r in ascending order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5776 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in 16, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293416 is divided by 58683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, -6, 0.1, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 31 + 76 + 30 = -33 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/75)*p*p**(-16) assuming p is positive.\nAnswer: p**(-1127\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 + 8*z**2 - 17*z - 36. Let k be p(-10). Let h = -196207\/64 - k. Find the common denominator of -79\/12 and h.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 861 - 861. Let r = 1.1 + -1.17. What is the second biggest value in r, d, -2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6991 is divided by 548?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + 1010?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -836586 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3149.439s to minutes.\nAnswer: 52.49065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = y + 55 - 46, 17 = -2*x + 3*y - 12 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231482 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 + 13*y - 1. Suppose 11 = -b + 5*p, 5*b - 56*p = -60*p - 26. Let f(v) = -2*v**2 + 6*v - 1. What is b*k(i) + 13*f(i)?\nAnswer: -2*i**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -653247*y**3 - 209868*y**2?\nAnswer: -3919482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/14*(-189)\/(-270).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5478640 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2 - 14 = 0. Suppose -2*n = 5*w + i, 5*w = -11*n + 6*n + 10. Solve 4*j - 10 = -2*b + 4, -n*b - 32 = -4*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 5, c: 3, r: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 10*l**2 - 9*l + 13. What is the remainder when p(9) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 86*a - 114*a + 178*a in the form l*a + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let n be 1*(-1)\/((-10)\/3 + 3). Solve 0*d - n*d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -1248\/11?\nAnswer: -1248\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-1290)\/(-70) - (-6)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - -10.98. Let k = r + -15. Let s(y) = y**2 - 4*y + 2. Let v be s(3). Which is the nearest to 0.1? (a) k (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**2\/2 + 16*n + 29. Let z be v(14). Suppose -3*j - 2*k + 202 = 0, j + 272 = 5*j + z*k. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t - 37. Let d be u(5). What is the remainder when (490\/21)\/((-2)\/(-36)*d) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -4?\nAnswer: -135\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1371085.9 rounded to the nearest 1000?\nAnswer: -1371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236932 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012332 (base 5) to base 9.\nAnswer: -24675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731*l = 732*l + 3*s - 5, 2*s = -5*l - 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-35))\/(6\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58487081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3461, -1979, -499, 979, 2455, 3929, 5401?\nAnswer: 6871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13673 is divided by 1239?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 18*r**2 - 4*r + 10. Let d(l) = 8*l**2 - 2*l + 5. Let u(b) = -5*d(b) + 2*o(b). Let z(g) = -g**3 - 3*g**2 + 2*g - 4. Determine 3*u(a) - 4*z(a).\nAnswer: -2*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10868 - -10872. Let c = -0.04 + -0.36. Put 0.2, c, 3, y in ascending order.\nAnswer: c, 0.2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1932911339?\nAnswer: 17, 37, 41, 241, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/66)\/(30\/12*8\/30)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15540 and 1218.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -6 + -2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11 + 5 + (-1 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 192\/104 + (-2)\/(-13). Suppose -a*w + 19 = g - 4*w, 0 = -w. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108934*u**2 - 820 + u + 820.\nAnswer: 108934*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2 - (-46)\/(-20)). Find the common denominator of 81\/10 and v\/(-1)*(-3)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, 2\/31, 353\/5.\nAnswer: 2\/31, 353\/5, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1094200*r**2*t + 4*r*t - 31865655*t wrt r.\nAnswer: -2188400*r*t + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w - 752*w**2 + 1 + 1 + 762*w**2 - 1. Let x(l) = -7*l**2 - 3*l - 1. Determine 5*m(g) + 7*x(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 3 (c) 5 (d) 7\/3 (e) 3.54 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 486*q + 4278. Calculate h(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/25 and -15*156\/36*(-1)\/(1100\/(-16))?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121030 - -2?\nAnswer: 121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 94*v**3 - v - 95*v**3 + 0*v**2 - v**4 to the form o*v**2 + h*v**4 + f*v + u*v**3 + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(70)*-1)\/sqrt(10).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2679726 and -79\/12?\nAnswer: 5359452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1173 + -2228. Let q = b + 2084. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 851, 1723, 2583, 3431, 4267, 5091?\n\"Answer: -6*n**2 + 890*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654, -660, -676, -708, -762, -844, -960?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567776*s - 1567787*s + 47*s**2 - 1567773*s + 4703336*s.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 12 = 3*p. Let h(u) = 2*u + 3*u + 1 - 5*u**2 + p + u**3. Does 19 divide h(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7218241 rounded to three dps?\nAnswer: -23.722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 55. Let f = z - -26.2. Let g = f - 1.20021. What is g rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3729*j**2 - 1882*j**2 - 1849*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*o + 7601*o**2 - 661*o + 436*o**2.\nAnswer: 8037*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2270008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 1 = 57 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10.454*0.5\nAnswer: -5.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/71 in -2, 32, 47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11993149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 168. Suppose -7*y = -5*y + h. Let b = y + 33. Solve 4*o + 7 = 5*s, 0*o - 3*o - 2*s = -b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1789*x + 1516*x - 2184 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {h: 2, i: 1, r: 1, b: 2, m: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1536748 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1016375+-0.5\nAnswer: 1016374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.93562 centimeters to micrometers.\nAnswer: 839356.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3000 and 7\/30804?\nAnswer: 7701000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2459)\/(-8) - (3 + -3). Let j = s - 307. Let o = 0.13 - 0.13. Which is the nearest to 1\/4? (a) o (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18 + 7 + 4*t**2 - 12. Is h(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5 - 40550*q**4 - 1823292*q**3 - 22967658*q**2 - 53588115*q = 0.\nAnswer: -40505, -21, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-24))\/(2\/(-42)). Let v = -181\/36 + b. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 20 = 65*o + 268 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.25105653\nAnswer: 0.50211306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 12*i**2 - 2*i + 1. Let k be p(1). Suppose -3*d - 4*q = -14, -2*d - q + 10 = q. Suppose -d*t = -k*t + 45. Is t at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a year in months?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n - 54. Let i be m(-5). Let l(h) = -h**3 - 39*h**2 - h - 39. Let t be l(i). Which is smaller: t or -6\/131?\nAnswer: -6\/131","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6826*g - 984 = 13543*g - 6840*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 234\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + h**2 + 12. Let y be a(0). Let p(w) = 32*w**2 - 22 - 903*w - 33*w**2 + 919*w. What are the prime factors of p(y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and -0.06?\nAnswer: 16.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkzsatk. What is prob of sequence zt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037000 a multiple of 582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 + 29*g**3 + 24*g**3.\nAnswer: 67*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114272381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = 22. Let n(h) = h**3 - h**2 + 2*h + 4. Let i be n(0). Suppose -i*w = w - 105. Solve -p*v + 4 + w = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 384 + 2*2\/4. Let m(d) = d**2 - 31*d + 65. Let n = 214 + -184. Let o be m(n). What is the greatest common factor of x and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 12 (c) 493.4789 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**4\/b)\/b*b*b**(1\/2)\/b)\/((b*(b**(-4)\/b)\/b*b*b)\/(b**(-1\/9)*b)))\/((b*b\/((b\/(b**(1\/4)*b))\/b))\/b*b**0\/b)**(-1\/20) assuming b is positive.\nAnswer: b**(1073\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -5*v**2\/2 + 78*v + 21. What are the prime factors of x(0)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + 1644 - 1644 + 5*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6351 divided by 87?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - v - 1. Let g be n(-5). Let w(q) = -6*q - 3 + 15*q - 8*q. Give w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-18 + 5 + 9 + (-4 - 1) - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 24 + 7*m**3 + 0*m**3 + 3*m - 6*m**3 to the form j*m**3 + a*m**2 + i + u*m and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.0338961s to hours.\nAnswer: 0.00167608225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170407 is divided by 179.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6716 and 170522.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354349 to the power of 1\/2, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 e, and 1 g when three letters picked without replacement from kcgge.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - 4*n + 11*n - 34*n - 36*n.\nAnswer: -71*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64108*s**2 + 275088 wrt s.\nAnswer: -128216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21763 by 21763.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 bigger than 2\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -8110?\nAnswer: 194640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1397484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -888, -1711, -2534, -3357?\nAnswer: -4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 25*r**2 - 167*r + 143.\nAnswer: -(r - 13)*(r - 11)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.59 or 0.032?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 270880 and 338600?\nAnswer: 1354400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596*w - 36 = 2*z + 1583*w, -9 = z - 2*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:32 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/181158 and -71\/6.\nAnswer: 181158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/8 - 3127*v**2\/8 + 7855*v - 78675\/2 = 0 for v.\nAnswer: -3147, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 19*t**4 - 792*t**3 + 285*t**2 - 5*t**4 + 718*t + 413*t**2 + 96 + 2*t**4 + 439*t**2 = 0.\nAnswer: -1\/4, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 27*u. What are the prime factors of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*k - 16*k. Let c(j) = 34*j + 6239. Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56730 is divided by 93.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 7:51 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**5*y + f**2*y**3 + 4*f**2 - f*y**2 + y**3 wrt f.\nAnswer: 80*f**3*y + 2*y**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12222, 24420, 36596, 48750, 60882, 72992, 85080?\n\"Answer: -11*i**2 + 12231*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1110*i + 53. Does 18 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 5:06 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 0*i - 2*i + 20, -5*u - 4*i = -50. What is the highest common factor of 15 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -3)*-2 - (sqrt(405) - (sqrt(405) - sqrt(405)*-2*-1)))**2.\nAnswer: -432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 13 + -8 + -30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 48 = -5*j. What is the derivative of -2 + 80*s - 92*s + j wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let d = 31 - 28. Let a(i) be the second derivative of 0 - i - 1\/6*i**4 + 0*i**2 + 0*i**d. Calculate s(a(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 4:54 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/10 and (1919\/(-95))\/(4\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 - 2*x + 1. Let c be (3\/6)\/((-7)\/14). Let s(k) be the first derivative of k**4\/4 + k**3 + k**2\/2 - 7. Let p be s(c). What is o(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (365*g - 191*g - 40*g)*(g - 2*g + 2*g) - 1 + 2*g**2 + 1 + 0*g**2 - 2*g**2 + 4*g**2 + (-2*g + g - 2*g)*(0*g - g + 0*g) as d*g + c*g**2 + j and give c.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -114?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1896, -4087, -6558, -9309, -12340, -15651, -19242?\nAnswer: -23113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyz when three letters picked without replacement from zzzzzzmyyzzszymzmmz.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45910575 + 1843*c**2 - 45910575 to the form q + s*c**2 + y*c and give s.\nAnswer: 1843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-4 + -22 - -24) + -16?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 2*a)*(-a**2 - 4 - a**2 + 0).\nAnswer: 4*a**3 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1134 + -1253.9. Let n = f + 119.89997476. What is n rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101859 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 280\/(-144)*(-60)\/(-105). Put -15, -3\/7, i in ascending order.\nAnswer: -15, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -63, -96, -143?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Factor 4*h**4 + 15*h**2 + 13*h**3 + 5*h - 2 + 2*h + t.\nAnswer: (h + 1)**3*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89\/84 + -11\/12. Sort 1\/3, -0.2, b, -4.\nAnswer: -4, -0.2, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -126c236 - 3?\nAnswer: -126c239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -70?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*s = 126*s - 48*s + 461780. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(500)*2) + 3.\nAnswer: 9 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.738 from -16456549487.\nAnswer: -16456549488.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72*(-77)\/(-29106))\/((52\/(-6))\/(-1)).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.1 in -4, -0.4, -2, 24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 2\/3*a**3 + 0 + 0*a**4 + 16*a + 3\/5*a**5 + 0*a**2. Find the second derivative of l(h) wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - r**2 - r - 1. Let x(l) = 11*l + 10*l + 12*l - 5 - 9*l**3 - 38*l - 3*l**2. Give 5*p(g) - x(g).\nAnswer: 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 5*n - 10. Let d be l(-6). What is the greatest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 7.48 in increasing order.\nAnswer: 1, 3, 7.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 10261?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*t**3\/3 + 1396*t**2\/3 + 11917*t\/3 + 578\/3.\nAnswer: (t + 17)**2*(41*t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0012 - -5.0012. Let r = -6.5 - -6. Let s = 0.4 + r. What is the nearest to -1 in o, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 2*t - 43, -2*u + 33 = 3*t. Let x be 16\/(-20)*u\/(-2). Let h(k) = -2*k**2 - 10*k + 5. Let f be h(-5). Is x <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*p = -1 + 17, 5*p + 20 = 0. Which is smaller: 2\/1475 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:58 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3 - 2*c - 2 + 3 + 15 + 5. Let u(a) = 11*a. What is x(u(g))?\nAnswer: -22*g + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j = 8*j - 500 - 490 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**8\/6720 - x**7\/630 + x**6\/720 - x**5\/60 + 5*x**4\/24 + x**2. Let j(a) be the second derivative of n(a). Calculate j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -5*o**3\/3 + 5*o**2\/2 - 4*o + 836. Let n(y) be the first derivative of 2*y**3 - 3*y**2 + 5*y - 2. What is -5*j(s) - 4*n(s)?\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000053382096 rounded to seven dps?\nAnswer: -0.0000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.022 and -10\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 676, 676, 684, 706, 748, 816?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4425, -4426, -4427?\n\"Answer: -a - 4424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/6 - 3*m**2\/2 - m. Let d be l(-5). Let b = -18 - -23. Calculate the highest common factor of b and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l + 95. Let h(r) = -3*r + 63. Let w(t) = -7*h(t) + 5*y(t). What is the tens digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7\/12 (b) 1\/3 (c) -0.07 (d) 2\/3 (e) 0 (f) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -8*u**2 - 3*u - 5. Let j(d) = -d - 15*d**2 - 1 + 6*d**2 + 8*d**2. What is 3*j(y) - o(y)?\nAnswer: 5*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(45)\/(sqrt(9)*-2).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0261992 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0097538*12.\nAnswer: -0.1170456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = s + 7*d, -3823014*s - 4*d + 74 = -3823018*s + d for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 7465890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 43, -4 in increasing order.\nAnswer: -5, -4, -1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -825*l**3 + 420*l**2 - 36*l.\nAnswer: -3*l*(5*l - 2)*(55*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4270590 - -1550225129\/363. Let d = b - -3\/121. Factor d - 4\/3*m**2 - 4\/3*m.\nAnswer: -4*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 10*n + 5. Let a be l(6). Suppose 4*s - 80 = -4*j, -j + 5*s = 3 + 7. Let w = a - j. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 4. Let q be g(8). Let n be (2 - 1)*(-4)\/q. Sort n, -1, 4.\nAnswer: -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -516868.\nAnswer: -1\/129217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34692188 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*a - 102 = -9, -3*k + 55 = -2*a. Solve -k = -5*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*-3)**2*-6 + sqrt(475)*2*4 - (-5 + -5*(2 + 2 + sqrt(475) + sqrt(475)))**2)*-1.\nAnswer: 2460*sqrt(19) + 73775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 + 84*z + 176 = 0.\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*k + 23*k - 21*k)*(k**2 + 2*k**2 - 4*k**2) + (0*k**2 + 0*k**2 + 2*k**2)*(2 - 2 + k).\nAnswer: -92*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r**2 + r + 27*r - 28*r.\nAnswer: -67*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, -66 in increasing order.\nAnswer: -66, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e9 + d0c?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4804607 is divided by 178?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/5 - 1\/(-5). Suppose -3*z - 4*a + 47 = 0, 0 = -2*z + 5*a + h + 53. What is the highest common factor of 21 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7311941755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 480*j + 11803. Calculate w(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1885 + -1.8115. Put r, -1\/205, -5, 4 in decreasing order.\nAnswer: 4, -1\/205, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 28 = 9*u. Find c such that 2*c**u - 3*c**3 - 1\/2*c**5 + 0 + 2*c**2 - 1\/2*c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-405)\/(-108)*16\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261696 and 3.\nAnswer: 261696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24255 is divided by 12115.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 13. Let a be 140 - (0 + (-1 + 1)\/k). What is the units digit of a\/(-15)*((-1 - -3) + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-22))\/3 + (-5550)\/(-275). Suppose -2*c = 3*c + 10. Put x, c, -4 in descending order.\nAnswer: x, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:35 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637988488 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1980) - sqrt(1980)) + sqrt(1980) + sqrt(55))\/((sqrt(66)*-1 - sqrt(66))\/sqrt(6)).\nAnswer: -13*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5)*j**(-4\/7))\/(j**(2\/3))**(-1\/22)*j**4\/j*j**7*j\/(j\/j**6*j)*j**(-4\/7)\/j assuming j is positive.\nAnswer: j**(4363\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -198108932 and 0.4.\nAnswer: -198108931.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119\/3 + 40. Suppose 15 = -g + 4*f, -5*g + 2*f = 10 + 11. Which is the nearest to 8? (a) g (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*z = 14, 4*p - z = 2*z - 11. Solve -3*q - 4*c + p = 0, 0*q - 3*q = -3*c - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d = -5. Suppose 9 = -d*a - 6. Let x be 4\/7*(a + 10). Solve 2*v - 2*m = 0, 3*m + 8 = x*v + v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34497155 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 649*a + 1951. Let t be x(-3). What is the highest common divisor of 18425 and t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (sqrt(112) - (sqrt(112) + 1))*4) + sqrt(112)*2*-3 + sqrt(112))**2.\nAnswer: -128*sqrt(7) + 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(104)*-2)\/(sqrt(72)*-4).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -158779?\nAnswer: -158777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - ((-36)\/(-3))\/(-4). Let o be b\/4 + 10\/(-8). Is 2 + o + 1 - -64 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 61 = 3*d + 3*g, 5*d - g = 186. Solve 96*z = 90*z - d for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)\/z))\/z)**(-15) assuming z is positive.\nAnswer: z**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*l - 5 = -9*l, m + 2*l = 14 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1933 - -29?\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -221552 + -4?\nAnswer: -221556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 + 23ba06?\nAnswer: 23ba7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 9*j**5\/20 + 2*j**4\/3 + 20*j**2 - 29. Let m(a) be the second derivative of v(a). Find the second derivative of m(o) wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 417646348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10508688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(3840))\/(sqrt(1200) - 4*(sqrt(1200)*-3 - sqrt(1200))).\nAnswer: -16*sqrt(5)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 4*r - 32. Give o(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 436, 437, 438, 439?\n\"Answer: g + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 7:24 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1 + 2 + 1 - 2 + (-1 + 1 - 1)*(3 + 1 - 3))*(76*t - 112 + 112) to g + y*t and give y.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 17 + -9 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17603341 and 4.\nAnswer: -70413364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34.4644536*-0.3\nAnswer: -10.33933608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*q, 0 = -q + 3*q + 5*h - 12. What is the units digit of (-42 + q)*300\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 63*t + 18*t + 23*t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 661\/5 + -1317\/10. Let s(z) be the first derivative of w*z**2 + 10 + 5*z. What is the first derivative of s(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/(-1*sqrt(3)) - (sqrt(24) + sqrt(96) + sqrt(24) + sqrt(24) + sqrt(24))\/sqrt(8)) + 3)**2*-2.\nAnswer: -312 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 48*j - 10. Let d(g) = -16*g + 3. Give 10*d(y) + 3*l(y).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -21\/33973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29769.\nAnswer: 3, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -29, -49, -67, -83, -97, -109?\n\"Answer: n**2 - 25*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 1789230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -93624747, -187249494, -280874241, -374498988?\n\"Answer: -93624747*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 2*q**2 - 11*q + 9. Let o be n(4). Let d(g) = -2*g**3 - 2*g**2 + 3*g - 10. Let a be d(o). What is the highest common factor of 527 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*w - 54, 0 = -4*w - w + u + 72. What is the smallest common multiple of 4 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251372149.\nAnswer: 1251372149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 + -0.2500005. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121609 is divided by 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21 - 0.01. Let g = 21600 + -21599.79994. Let h = m - g. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*o*p*s + 2*b*p**2 - 2*b*p*s + 2*o*p**4*s - o*s + 2*o + 24*p**5*s wrt p.\nAnswer: 4*b + 24*o*p**2*s + 480*p**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 30 - t**2 - 6 + 6.\nAnswer: 2*t**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6061\/474 + -49\/79. Find the common denominator of y and -68\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 2. Suppose 94*a - 17*a + 308 = 0. What is c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u - 56*u + 1855820 = -1054568. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-3 + 4*sqrt(475) + 2)*-3)**2*6.\nAnswer: -12960*sqrt(19) + 2462724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - d - 18 = 0, -268*n + 84 = -273*n + 4*d. Which is the nearest to 0.7? (a) 2\/9 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6699c (base 15) to base 12\nAnswer: -138910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*h + 467 - 366 = -939 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -41*m + 4*m**2 - 1 + 1 + 33*m = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 15. Let y be l(10). Suppose y - 33 = -4*f. Suppose -6*u + f*u = 25. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3 = 12. List the prime factors of (1 + m)*(117\/(-6) - 2).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 45009785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2987765*a - 51*a**2 - 2987765*a.\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -543, 5, -223, 838 in ascending order.\nAnswer: -543, -223, 5, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 9) in base 3?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 22*z = 2700000. Round z to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k - 52 = -36*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4 + 7*d**2 - 20*d**2 + 10*d**2 - 96*d. Let w be s(-32). Solve 0 = -b - w*a + 23, -a - 8 = 5*b - 28 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -115, -165, -267, -439, -699, -1065?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3718 and 5148.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + k**2 + k**2)*(7*k - 6*k + 9*k)*(-5*k - 6*k - k).\nAnswer: 120*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (3 - 0) - (-6 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 14) to base 3\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 17*d + 14 = u, -4*u + 5*d = -70. Let p be 282\/4 - 1\/2. What is the greatest common factor of u and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22413999667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2988*u**3*y**2 + u**3*y - 3379*y**2 + y wrt u?\nAnswer: -8964*u**2*y**2 + 3*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -379, -1513, -3401, -6043, -9439, -13589?\n\"Answer: -377*g**2 - 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*a**5 - 4*a**3 + 0*a**2 - 9\/2*a**4 + 0*a.\nAnswer: -a**3*(a + 1)*(a + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 + 241 - 119 + 2280*f + 1742*f to the form l + c*f and give c.\nAnswer: 4022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133804123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -20*q**2 - 20*q + 10. Let s(c) = -30*c**2 - 32*c + 16. Let j(g) = -5*s(g) + 8*w(g). Let d(r) = 18*r**2. Determine j(d(f)).\nAnswer: -3240*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 38.2142?\nAnswer: -191.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 260512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3671 (b) -0.18 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168572 divided by 4.\nAnswer: 42143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-154) - (-4)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11567157 (base 8) in base 12?\nAnswer: -a30613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4292 + -3713. What are the prime factors of d?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/4, 7\/118, -0.08, -46?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) -5 (c) 0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 271*h - 1. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + (4 - 14 - -3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let n = 2.5 + k. Let y be 1\/(-8) + (-40)\/(-6080)*-19. What is the closest to 1 in n, 0.1, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004830 to the power of 1\/2, to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*v**2 + 16*v**2 - 4*v**4 + 8*v**4 + 44*v**2 - 44*v**2 + (-2*v**2 + 6*v**2 - 3*v**2)*(v**2 - 2*v + 2*v) + 6*v**4 + 6*v**4 - 8*v**4.\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -42*m**3 + 19*m**2 + 76*m + 11. What is the hundreds digit of i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20247\/121482)\/((3\/(-52))\/((-3)\/2))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 5*n + 5. Let v(f) = -f**2 + 2*f - 2. Suppose 4*r - 26 = 2*w, -5*r = -3*w + 8*w - 10. Suppose 10 + 15 = -r*h. Determine h*v(y) - 2*k(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i + 2. Let p(d) = 2*d**2 - 3. Let k(y) = -y**2 + 2. Give i*p(u) - 3*k(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/5 + 5058*t\/5 + 2830804 = 0.\nAnswer: -1681, 4210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.10126 rounded to two dps?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.74 rounded to 0 dps?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 - 4*g - 6. Let d be q(6). Suppose d*p = p. Which is the closest to 0? (a) p (b) -0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 4:22 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00232815 rounded to five dps?\nAnswer: -0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 542, 2530, 5846, 10490, 16462, 23762?\n\"Answer: 664*n**2 - 4*n - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:12 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-90)\/20 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from {o: 17, a: 3}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*l + 4*l + 84 = 0, 0 = -2*j + 3*l - 140. Let m = j + 151. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10481 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, i: 7, f: 5}. Give prob of picking 2 i.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - h - 2*h)*(74 - 74 + 13*h + (5 - 4 + 0)*(-4*h + 6*h - h))*(-4*h**2 - h**2 + 4*h**2).\nAnswer: 98*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -28*q**3 - 3809*q**2 - 136*q + 185. Determine p(-136).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 269725948631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -118, -114, -110, -106, -102?\n\"Answer: 4*z - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)*1 + -2. Suppose -4*m + t = -11. Suppose m*u - 3223 = 860. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013835986 rounded to 6 dps?\nAnswer: -0.001384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41 - -32?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = 3. What is the lowest common multiple of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 155, 296, 501, 776, 1127?\n\"Answer: z**3 + 23*z**2 + 7*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 1\/3*t**3 + 1\/2*t**2 - 4 + 0*t. Factor z(w).\nAnswer: w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**5\/20 - 5*a**4\/12 - 3*a. Let v be f(5). Suppose v = n - 21 - 4. Calculate the remainder when 48 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -75131071?\nAnswer: 2\/75131071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 6*t + 5. Suppose 3*j - 3 = -2*h - 1, 0 = 3*h + 5*j - 5. What is d(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731879433 and 31131.\nAnswer: 10377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 4*z**2 + 489 - 489)*(-44*z - 34*z + 58*z).\nAnswer: -40*z**5 - 80*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(0 - 5*v + 3 - 1).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0, -38 in decreasing order.\nAnswer: 0, -3, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 7*h = -0*h. Suppose -5*y = -2*o + 21, h = 3*y + y + 4. Suppose 0 = -4*m - 8 + o. Solve m = -5*n - 5 + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 792.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/(5\/(-50)). Suppose -h - 4 = -3, -3*x = -4*h - k. Suppose x = 5*m - 52 + 2. What is the highest common divisor of 15 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 225 = -4*u. Suppose -10 + u = 5*l. Let z(q) = 2*q**2 - 12*q + 8. Let y be z(l). Calculate the highest common divisor of y and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*u + 169, -2*u + 2*r + 110 = -2*r. List the prime factors of u.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(140))\/sqrt(5))\/sqrt(4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 33338204 to the nearest ten thousand.\nAnswer: 33340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/9558 and -61\/405.\nAnswer: 47790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**18\/b)\/b)\/(b\/(b\/((b*b*b\/(b*b**11\/b*b*b)*b)\/b)*b*b)*b))\/(b**0*b\/(b*b**19)))**(-23) assuming b is positive.\nAnswer: b**(-1081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1880, 3872, 5870, 7874, 9884?\nAnswer: 11900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5313)\/(-45))\/(-23) - 1*-5. Which is the nearest to -100? (a) 0.4 (b) s (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203.09157 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101336 + 100608.67. Let n = 731 + i. What is n rounded to 1 dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(0 + sqrt(1900))*4 + -2)**2*-5.\nAnswer: -1368045 - 3600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Suppose 3*v = -4*m + 2, 2*v - 5 = -4*m - 9. Let s(r) = 23*r**2. Let j(d) = -3*d**2. Let g(n) = v*j(n) + s(n). What is c(g(x))?\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9930427 days?\nAnswer: 85798.88928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 v when three letters picked without replacement from {g: 8, v: 5, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1053))*-1 + 1 + sqrt(1053)*3 + 3 + 5)**2.\nAnswer: 252*sqrt(13) + 4261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*b + 40331 = 0, -6197 + 46533 = 3*x - b. Let q = -7776 + x. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 4:08 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*i**4 + 62*i**5 - 55*i**3 + 54*i**4 - 56*i**4 - 128*i**5 + 71*i**5 + 30*i**2.\nAnswer: 5*i**2*(i - 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + -5*sqrt(39)*2 + sqrt(39) - (-2*sqrt(1404) + sqrt(1404)))\/((sqrt(396)\/sqrt(48))\/(sqrt(22)\/sqrt(2)*-5)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -90, -159, -264, -417, -630, -915?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54804, 109596, 164374, 219132, 273864?\nAnswer: 328564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 - 8*r**3 - 14*r**3 - 9*r**3 + 37*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 83*b**2 - 137*b**2 + 135*b**2 - 3 - 2 in the form s + w*b + a*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1223 + 5?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-7) + 2)\/(-1 + 0). Suppose -5*k - 4*k + 180 = o. What is the least common multiple of k and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/34080 and -49\/25296.\nAnswer: 17960160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-2250))\/(2\/90).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/8*(2223\/(-95) + 23)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x - 1. Let j(n) = -6*n**2 + n - 6. Let h(q) = -j(q) + 5*z(q). Suppose 2*m - 3*a = -12, 5*m + a = 6*a - 30. Calculate h(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at most as big as 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 + 0)) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188 - -196. Suppose -21*j + x = -13*j. Calculate the remainder when 7 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iedtssijsjjejjjss. What is prob of sequence jdsj?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-181)\/1086 + (-1)\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 61 + 71 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -26. Let l be (k + -1)\/(-3) + 40. What is the highest common factor of 60 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2485826 a multiple of 1006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -233510.2 rounded to the nearest one thousand?\nAnswer: -234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5358, -10716, -16074?\nAnswer: -21432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -g + 628264, 6*z + 3239318 - 97995 = 5*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 1\/24*j**4 + 0*j + 1\/20*j**5 + 1\/120*j**6 + 0 - 4*j**2 + 1\/3*j**3. Calculate the remainder when f(3) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 77*r**4\/12 - 7*r**3\/6 + 7*r**2\/2 - 32*r. Is o(2) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/8))**(-8) assuming x is positive.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821856151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82543 or 82544?\nAnswer: 82543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -20. What is the second biggest value in 3, v, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.36 - -7.2284. Let a = 0.189 + l. What is a rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/6 + 6895\/30. Let t = -149 + q. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Let c be (-1)\/(1\/(-86)*k). Let q = -10 + c. What is the remainder when q is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1049711 - -1985472. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 - 420166*l**2 - 54646930*l - 1776299850 = 0 for l.\nAnswer: -65, 210213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3159)*3*3)\/(-2*-2*sqrt(108)).\nAnswer: 27*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*l + 7 = 0, 0 = 5*d - 6*d - 5*l + 35. Suppose 0*h + 5*h = 0. Suppose -4*y - 60 = -z - y, h = 2*y. Calculate the greatest common factor of d and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 + 9*b - 11. Let a be o(7). Let i be (3 + -8)*1\/(-69). Let r = -6\/23 - i. What is the biggest value in r, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:30 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/54)\/((-4)\/3). Let x(a) be the third derivative of 0*a + a**2 - i*a**4 + 0 + 1\/6*a**3. What is the derivative of x(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 5*w + 55, 30*z - 27*z + 6*w + 27 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/13, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {t: 1, w: 2, q: 11, s: 3, k: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 5*j + 1. Let l(d) = d**3 - 2*d**2 - d. Let p be l(3). Suppose 0 = -4*a - h - 60, a + 2*h - 62 = p*a. Let c = a + 18. Calculate o(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 + 6*p - 4. Let t be x(-5). Let d = 129 - t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 833\/9060 + 358\/2265. What is o in o**4 - 11\/2*o**2 - 3\/4*o**3 - o + 6 + t*o**5 = 0?\nAnswer: -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b119 - -7?\nAnswer: -1b112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -0.2, -11, 2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262419526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (590\/35)\/(2*(-2)\/84*(-312)\/52)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 - 81. Suppose 3*y - h = 34. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8431115*j**3 - 64958853*j wrt j?\nAnswer: -50586690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czzcrzciizi. What is prob of sequence zr?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 980 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384889.983 rounded to the nearest ten?\nAnswer: 384890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 154*q + 8999. Is 89 a factor of u(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q + 2*q + (1 + q - 1)*(2 - 5 + 1) + (1 - 3 + 4)*(q + 0 + 0).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -713.15422 - 6.\nAnswer: -719.15422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -54720.269 take away 0.1158?\nAnswer: -54720.3848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1) + 0\/(-3). Suppose t = -5*f + 4*f + 6, 9 = t + b*f. Let x be -3*t\/(-9) + 0. Solve 1 = -k - x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**2 - y + 6. Let v(q) = -9*q**2 - q + 5. Let i(p) = 5*d(p) - 6*v(p). Let m be i(1). Let t be 0\/(1 + -2 + 3). Solve -5 = -m*a - t*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + y = 5*y - 16, 0 = -4*c + 5*y - 22. Let t = c + 6. Let u be t - 5\/((-20)\/24). Solve 17 = -3*f + 5*m, -u*f + 4*m - 12 = -0*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 285 - 310. Let y = n - -25.195. What is y rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.3 + -48.3. Let l = q + 18.2. Round l to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 14*o + 42, -6*o + 20 = 4*i - 2*o. Solve -i*n = -20*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9192023 divided by -5?\nAnswer: 9192023\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3052 + 3052 + 8*u**2. Let c(p) = -7*p - 5. Let h(g) = 6*g + 4. Let x(a) = -4*c(a) - 5*h(a). Give m(x(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 126*u**2 + 40*u + 69. Let p be x(-21). Suppose -2*f = -m - 36541, -7*f - p = -10*f - 4*m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3431257400129 and -7.\nAnswer: 3431257400122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**7\/105 - n**4\/6 - n**2 + 1. Let h(b) be the second derivative of m(b). Find the second derivative of h(c) wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 20\/5 - (-7 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3459.4 rounded to the nearest 10?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 4*g + 0*g**2 + 2*g**3 - 2*g**4 - g**2 as x + t*g**4 + p*g**3 + w*g**2 + d*g and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 64*j**3 - 144*j**2.\nAnswer: 4*j**2*(j - 2)*(j + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 21*n = 20*n + 6, -g + 5*n = -5*g + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (17 + -15 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqddefh. Give prob of picking 1 q and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -398, 0, 22, 6, -8 in increasing order.\nAnswer: -398, -8, 0, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 12*n**3 + 129617 - 129617 - 4*n)*(-n - n + 0*n).\nAnswer: -24*n**4 + 2*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57925915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4272 and 64?\nAnswer: 17088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 143. Let t = h + -51. Suppose -5*k = -3*q - 10, -2*k - q = -7*k + t. Solve 0 = 5*m + u - 5 - k, 4*m = 4*u + 32 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -5*t**8\/336 - 5*t**7\/21 - 7*t**6\/8 + 3*t**5 + 45*t**4\/2 - 385*t**2. What is d in v(d) = 0?\nAnswer: -6, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2770525*d - 12904403?\nAnswer: 2770525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) -0.46 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57997523*c**2 - c - 3*c - 57997377*c**2.\nAnswer: 146*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:21 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -140, 237, 888, 1813, 3012, 4485?\nAnswer: 6232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*r + 14 - 2, -4*r = -16. Suppose 0 = -g*z + 2*z - 12. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1736*a + 6949. Let n be x(4). What is the fifth biggest value in 0.3, -0.3, -1\/4, 182, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05943 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 950808953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-429)*(42\/4)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*n + 292*n = 9. Suppose -2*a = -v + n*v - 94, -5*a = -v - 205. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 63, 69, 75, 81, 87?\n\"Answer: 6*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 190*j**2 + 80*j - 20521. Give h(-189).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 16*x + 14*x = -47*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7127.107 hours?\nAnswer: 25657585200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 2, e: 10}. Give prob of picking 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/5 (c) -2\/113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -458350 by -445.\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**2 + 11*w**2 + 5*w**3 + 4*w**3 - 3*w**3 wrt w?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -14.0092. Let z = p + 0.002. Round z to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4459.6 - -4460. What is the third smallest value in h, -0.2, -4, 2, 2.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.4, 50.\nAnswer: 0.2, 0.4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.12 (b) -4\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -25*p**3 + 2*p**2 - 9*p - 6. Let w be s(-4). Suppose -b - b = -2*n + 1108, -3*n - 2*b = -w. List the prime factors of n.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14798915.9 rounded to the nearest one thousand?\nAnswer: -14799000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1644)\/(-40))\/3 - 2. Let w = v + -23\/2. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/(4\/16) + 69. Let h be (1\/(-10))\/(3\/v) + 3. What is the closest to -2\/7 in 1, h, -35?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in centuries?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - 6. Let k be v\/(-3) + 12\/36. Let f(p) = -4*p - p + k*p. Let r(u) = 2*u**2. Calculate f(r(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = a, 2*a = 5*a - 4*w + 22. Let o = -3 - a. Solve -o*j - y + 2*y = -5, 6 = -2*j + 3*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171641.722+-0.5\nAnswer: 171641.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 44 + 11 + -16 + -1 + -15 + 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.2 - -11. Let i = 0.7 - 0.2. Let o = -0.1 + i. Which is the closest to 1? (a) 3 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.37 - -0.77. Let z = -6 - w. Let a = 0.1 - z. What is the biggest value in -3, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d + (1 + 4 - 4)*(-1 + 2*d + 1) + 3 + 2*d - 3 - 2*d + 4*d - 4*d + (3 - 2 - 2)*(d + d + 18*d))*(6 - 2 - 3).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 + -2 - (0 - 6)) + (-382 - -391).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gleupuuguepggepll. What is prob of picking 1 l, 1 g, and 1 p?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9133.\nAnswer: 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/120 - 11*x**5\/60 - 13*x**3\/6 + 1743*x**2. What is w(11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.16767 - 0.102606. Let k = a + -0.077. Let r = 0.012 + k. What is r rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4892, -5542 in descending order.\nAnswer: 4, -4892, -5542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1460 - -1461. What is the third smallest value in p, -0.1, 1.3, 0.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 + 3*a. Let l be c(-2). Suppose 2*s = -u + l + 13, s - 4*u - 18 = 0. Let y = 50 - s. Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (8516\/(-14854) - -3). Let o = -2\/1061 - a. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/8))**(-35))**(-11\/4) assuming n is positive.\nAnswer: n**(-385\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 0*p - 3*p**2 + 3*p - p**3 - 2*p. Calculate w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2897678.301 to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) - -6*sqrt(1152)) + sqrt(18)*1*-4)\/(6*(sqrt(225) - (sqrt(225) - (sqrt(225) - sqrt(225)*-1))) + (sqrt(225) - -2*sqrt(225)*5 - sqrt(225))).\nAnswer: 26*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59168 from 0.07.\nAnswer: -59167.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 0 + 2 - 4 + 1 - 1 + 5*j - j + 4*j - 2*j + (-j + 2*j + j)*(1 - 3 + 1).\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 107364742, 107364752, 107364762, 107364772, 107364782?\n\"Answer: 10*r + 107364732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*v + 3*o, -5*v + 8*o + 20 = 3*o. Let k(h) = -h**3 + h**2 + h - 4. Give k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -230*b**3 - 2*b**2 + b - 2. Let v be m(-2). Let s = 2650 - v. What is the common denominator of -47\/4 and (s\/(-324))\/((-1)\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -618*i - 9866. What is x(-16)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + c - 1. Let k be 2\/(-3)*45\/6. Let p = k + -4. Is n(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g = -37*g - 279. Which is the nearest to 0.1? (a) -1.2 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttotttttttttttot.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaai when four letters picked without replacement from {y: 5, j: 3, a: 1, i: 2, n: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(99)*2)\/(sqrt(9) - (sqrt(9) - ((sqrt(1089) - sqrt(1089)*-2) + sqrt(9))) - sqrt(9)).\nAnswer: -4*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/15 - ((-68775)\/(-9450))\/(20\/216)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 534463*b**5 - 35*b**3*k - 75*b**2*k + 3417*b*k + 2*k + 13 wrt b?\nAnswer: 32067780*b**2 - 210*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -540*q**3 + 538*q**3 - 6*q + 8*q**2 + 2 - 32*q**2 + 0*q to r + s*q + y*q**2 + g*q**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -16*u - 478. Let a(s) = -3*s - 96. Calculate 11*a(r) - 2*b(r).\nAnswer: -r - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32\/5 (b) 0 (c) -0.3 (d) 4\/5 (e) -2\/3 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5513 + 5517. Solve 0 = j*m - 3*s + 24, 6*m - 3*s + 21 = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**8\/2016 + 11*x**7\/3780 - x**6\/540 + 11*x**4\/6 + 15*x. Let j(l) be the third derivative of p(l). Solve j(h) = 0.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4511 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:17 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -125, -133, -141, -149, -157?\n\"Answer: -8*c - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(3\/7))*p**(-3\/7))**0*(p*p**(-10)*p\/(p\/p**(-8)*p))**44 assuming p is positive.\nAnswer: p**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -20 - 118*v + 161\/2*v**2. What is the first derivative of q(z) wrt z?\nAnswer: 161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:32 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 33*q**5\/20 + 11*q**4\/12 - 196*q**3 - 1072*q. What is the second derivative of u(x) wrt x?\nAnswer: 198*x + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10 - 72\/(-10)) + 483\/(-70).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5504971+-0.37\nAnswer: 5504970.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 10:30 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b8 + -c9?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*f = -8768 + 16133 + 63885. What is the remainder when f is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 3810 - 5*l - l + 7*l.\nAnswer: -l - 3810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2337408*r - 2*r**2 + 2335441*r + r**2 in the form b*r + m + q*r**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 149, 303, 457, 611?\n\"Answer: 154*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 176*q - 3843. Determine b(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5234 less than 1862?\nAnswer: 1847.4766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + (sqrt(80) - (1*sqrt(80) - sqrt(80))))*-2 + -3)*3 - (-1 + (sqrt(80) + (sqrt(80) - sqrt(80)*-2) + -3)*4))**2.\nAnswer: -896*sqrt(5) + 62736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1426 - 1417. Solve -31 + 67 = v*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*c**(3\/14))\/c*c**(-4\/9)*(c**(-7)*c)\/c*(c\/((c*c*c**(-1\/2))\/c))\/c*c*c assuming c is positive.\nAnswer: c**(-235\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - 1.03. Let v = f + 0.4. Let d = 0.3 + v. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -2, 0.5, 4, 24990, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*p**5 + 758960*p**4 + 4843476*p**3 + 4752280*p**2 - 10355116*p = 0.\nAnswer: -1891, -37\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 11*i + 0 + 0*i + 5*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, and 2 t when four letters picked without replacement from {h: 6, t: 4, q: 3}.\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 - 156 = -14*t. 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: Which is smaller: -1\/42 or 23?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 156 = 20. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000199699291 to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 18 + 2*n**2 - 3*n**2 to d*n + o + z*n**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p - 59 - 434 = 140*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x**3 - x**2 + x - 1. Let d be -4*((-14)\/(-8) + -2). Let u be j(d). Suppose -4*p = 5*c - 3*p - u, -c + 5 = -p. Solve q + c = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1 (b) 1.5 (c) 0.6 (d) -2 (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20825 by 5.\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 232663 * -1\nAnswer: -232663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from dmsdslqm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*(2*sqrt(78)*2 + sqrt(78) - sqrt(78)))\/((-6*(sqrt(66)*-3 - sqrt(66) - sqrt(66)))\/sqrt(11)*6).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5))**26 assuming a is positive.\nAnswer: a**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1011111111 (base 2) to base 7\nAnswer: -2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 7*p**2 - 6*p + 3. Let s = -613 + 607. What is i(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2101 - -538. List the prime factors of c.\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**3 + 225*a**2\/2 - 68. Factor o(n).\nAnswer: 3*n*(n + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -4, 818, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 720.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 159*i**2 + 33*i + 117. What is the smallest common multiple of w(-3) and 18?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75454, 75310, 75166, 75022?\nAnswer: 74878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u + 13. Let j be p(5). Let o = j - -37. Solve 5*a + o - 25 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -60146*s. Let y(z) = -3*z**2. Determine j(y(o)).\nAnswer: 180438*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b + 3*b)*(3 + 4 - 2) - 943 - 43*b + 943 + (3 - 4 - 1)*(-2*b + b + 3*b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-78)*((-195 - -189) + (-42)\/(-8))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 23. Let p be -2*(-25)\/k*22. Let f = p + 17. 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 g(j) = -j**3 - j**2 + j. Let f be g(0). Let h(s) = -45*s**3 - 2*s**2 - 2*s - 1. Let r be h(-1). Let d = -41 + r. Is f > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304385032*v**2 + 100*v**3 - 304385032*v**2.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(0 - -1)*1. What is the derivative of 2*l**3 - l**3 + i - 4 wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 2. Let j be g(2). Suppose -4*c = 4*s - 44, s - c - j*c = 11. Calculate the remainder when 19 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 321 = b. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0) + (-214)\/(-148). Let p = 2\/37 + f. What is the nearest to -4 in 2, 2\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nssk when four letters picked without replacement from nssnssnk.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.768 - -4.45. Let g = i - 1.994. Let f = -0.076 - g. What is f rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19245*w - 9528 = 19642*w for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/(-10*18\/225). Is q smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1593782307?\nAnswer: 3, 13, 13622071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 7*j - 9. Suppose 0 = 3*s - j, 2*k - 1679 = -2*k - s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35478, -35481, -35476, -35457, -35418, -35353, -35256, -35121?\nAnswer: -34942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 55. Give k(37).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -61?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/35)*b)**22\/(((b**(-23)\/b*b)\/b)\/b**(4\/9)) assuming b is positive.\nAnswer: b**(21956\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (0 - 1 - (8 + (-7 - -12) - -18))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -312*l + 177.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4235 and 96458054.\nAnswer: 482290270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*j = -25 - 21, -42 = 3*q + 4*j. What are the prime factors of 10965\/204*(-4)\/q*72?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 748 - 371 - 377 - 2*l**3 - 18*l.\nAnswer: -2*l**3 - 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 330143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4095 + 5161. Solve 0 = -h*o + 1059*o + 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1\/4)\/(4\/24))\/((-39)\/(-26)). Solve -26 + d = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 393404, 786816, 1180230, 1573646, 1967064, 2360484, 2753906?\n\"Answer: g**2 + 393409*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 1948 = -2*x + 4*x, x - 965 = -5*m. What is the greatest common divisor of 3038 and x?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/10*10\/4. Suppose 0 = -2*a + 6 + d. Suppose 3*y = q + 2*y - 7, a*q + 2*y = -2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, p: 7}. What is prob of picking 1 l and 1 p?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-15))\/(2 + 2086\/(-1040)). Let n = d + 70. Is 2 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55556 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from jwjnon.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:36 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - u + 18. 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 the units digit of 1631619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5471 + 0.0471. Suppose -4*n + 10 = -6. Let z = 184 - 924\/5. What is the third biggest value in p, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 250?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 42*h**2 + 159*h + 7834. What is a(-14)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 236 = -n, 0 = 4*n + 8*f - 13*f - 839. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:58 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006879379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12 - 2)*(0*w**2 - 3*w**2 - w**2).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 29*a - 24. Calculate r(29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -7*o - 38*o**2 + 1\/15*o**6 + 0*o**4 - 1\/5*o**5 + 0*o**3 + 0. What is the derivative of q(r) wrt r?\nAnswer: 8*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -16529, 7 in ascending order.\nAnswer: -16529, -3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48892638 to the nearest integer?\nAnswer: 6992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 19*i - 42. Let r be a(21). Solve -5*x = -3*g - 2, -1 = -r*g - g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 f when four letters picked without replacement from gfnmn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26507 + 35683 = -296*i for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 11*g**2 + 3*g + 28. Let h be t(12). Let j = h + -54. Suppose 5*f - j = 1. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 20*r - 10. What is t(5)?\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*j + 25416 - 9940 = 0 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 14721 = -21*r. Let n = 14 + r. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6823451293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -1 + 3 + -3 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) -0.13 (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3612 + 37304. Let b = 234 + -239. Is z\/b + 2\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222405 (base 6) to base 4\nAnswer: -10210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171927 divided by 21?\nAnswer: 8187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**18)\/i**(-3\/13)*i\/(i**(-5\/12)*i)*i**(1\/7) assuming i is positive.\nAnswer: i**(-17701\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5932 + -5890. What is the highest common divisor of p and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 12*i**2 + 2*i - 5. Let w(o) = o**3 + 11*o**2 - 3*o + 5. Let h(r) = -7*w(r) - 6*y(r). What is the tens digit of h(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) - (sqrt(288) - (sqrt(288)*-2 + 1) - sqrt(288)) - sqrt(288) - (1*sqrt(288) + -1) - (5 + (3 + sqrt(288) + sqrt(288))**2 + sqrt(288) + 5).\nAnswer: -1169 - 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (7 - (7 + -5)) + -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160596432 divided by -232?\nAnswer: -692226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + 24. Let q = 9 + o. Suppose 0*i = q*i - 6. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*6)\/(sqrt(360)*4).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 250 = -286. Let u(f) = f**3 + 2*f**2 + 2*f + 8. Let a(s) = s**3 + 2*s**2 + 2*s + 9. What is b*a(l) + 7*u(l)?\nAnswer: l**3 + 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 2*x = 25*a - 12, 2*a + 3*x = 33. Suppose -3*c + 0*c + 12 = 0. What is the highest common factor of a and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**3 - 17*g**2 + 13*g + 52. What is h(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 6) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -89 + 3*p + 13 + 0 - p**4 + 0*p**2 + 0*p**2 as w + t*p**3 + h*p**4 + i*p**2 + q*p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r - 10*r)*(5 - 5 + 1 + 2 - 3 + 3 + 1 - 1 + 2 + (-2 - 1 + 1)*(2 - 2 - 1) + 6 - 2 - 8).\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20526643*a**3 + 25540582*a wrt a?\nAnswer: 123159858*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3852, -7696, -11534, -15366?\nAnswer: -19192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4)\/10 - (-168)\/(-320)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2934 - 5?\nAnswer: 292f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 455 - 21798?\nAnswer: -21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - 0.1. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 274\/397 - 699\/1588. Factor -7\/4*h**3 - 9\/4*h + 0 - k*h**4 - 15\/4*h**2.\nAnswer: -h*(h + 1)*(h + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.2 + 5.2. Let h = -24\/1123 + -285170\/3369. Let f = -84 - h. What is the second biggest value in -0.5, t, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-28))\/(4\/4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1 + 46*d**2 - 4*d**3 - 3*d**3 - 3 - 42*d**2 - 6*d. Let p(x) = -22*x**3 + 11*x**2 - 20*x - 11. Give -11*i(b) + 4*p(b).\nAnswer: -11*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 127001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, c: 1, x: 1, m: 2, f: 1}. Give prob of picking 1 n and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 3*f + 54 = -4*z, 2793*f - 82 = 4*z + 2788*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70575012?\nAnswer: 2, 3, 47, 53, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 7:29 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f + 1247 + 1261 - 2484)*(6*f - f - 6*f).\nAnswer: -3*f**3 - f**2 - 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let b be g(-3). Suppose -b*j = 4 + 8. Let x(q) = -q**4 - 3*q**3 + 4*q + 2. Let k(m) = m**4 - 1. Let n(s) = j*k(s) - 2*x(s). Factor n(y).\nAnswer: -2*y*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/90)\/((-1)\/10). Solve k = -2*g + 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = p - 82 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 6565*o + 104998. Give p(-16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w. Suppose i - 16 = -3*i. Suppose w = a + 2*j - 7, -3*j + 34 = i*a + 2*j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163860000 rounded to the nearest 1000000?\nAnswer: -164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-2\/31)*n*((n*n**(-6\/5)*n*n*n)\/n*n*n)\/n*(n\/(n\/(((n\/n**10)\/n*n)\/n)*n))\/((n\/(n**(-1\/23)*n)*n)\/n*n) assuming n is positive.\nAnswer: n**(-25593\/3565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 457200 divided by -38100.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*c**2 - 272492*c**4 + 273*c**2 + 273251*c**4 wrt c.\nAnswer: 18216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 5*j - 220 = 0. Suppose -2*x - q + 2*q = -47, x - 5*q - 28 = 0. Calculate the remainder when j is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/3501 and 17\/342?\nAnswer: 133038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t + 33*t**2 - 6 - 11*t**2 + 4 + 4*t as z*t**2 + m*t + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwtqqqm. What is prob of picking 1 t and 2 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -14 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29, 43, 57?\n\"Answer: 14*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -37 and -0.14964942?\nAnswer: 36.85035058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 2*z**2 + 4*z - 4. Let n(x) = -x + 6. Let d be n(-3). Let h = d - 3. Calculate the remainder when m(3) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5\/6 + 95*d**4\/2 - 8349*d**3\/2 + 233289*d**2\/2.\nAnswer: -d**2*(d - 147)*(d - 69)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/2343218 and -33\/1101778?\nAnswer: 166368478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403064862.\nAnswer: 2, 3, 67177477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 369, 397, 451, 537, 661, 829?\nAnswer: 1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 2*u**2 + 3*u**2 + (6*u + 15*u + 7*u)*(5*u - 2*u - 2*u).\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -3 (c) -13945.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.891 + -0.331. Let w = 130.64 + d. Let q = -177 + w. What is q rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25510000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 135. Let i(y) = -y**2 + 30*y + 92. What is the remainder when a is divided by i(32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4116 is divided by 679?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -21*a**3\/2 - 129*a**2 + 249*a\/2 + 351 = 0.\nAnswer: -13, -9\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 162 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2 - 561*m**3 + 3*m**2 - 376*m**3 + 3*m + m + 206*m**3. What are the prime factors of w(-1)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 3177746.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6422 (base 8) in base 5?\nAnswer: -101341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-139022 + 139022 - 311*t)*(t + 4*t - t) to j + q*t**2 + s*t and give q.\nAnswer: -1244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -113, -118, -123, -128?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0794691037 rounded to 5 decimal places?\nAnswer: -0.07947","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**(5\/2)*((i*i*i\/i**(-4))\/i)\/(i\/i**3))\/((i**(2\/5))**(-2\/33)*(i\/(i*i**(-2\/3)\/i*i))**(-11)) assuming i is positive.\nAnswer: i**(18563\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 8) in base 14?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336710 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 + 3*t + 0*t**3 + t**2 + 2*t**3 - t**3. Let m be u(2). Suppose -26500 = 3*g + m*g. Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.8, -497, -7\/4, 16\/5, 0.5, 5 in ascending order.\nAnswer: -497, -7\/4, 0.5, 2.8, 16\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86*p**2 - 23*p**4 + 86*p**2)*(-3*p - 4*p + 3*p).\nAnswer: 92*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76066*y**3 - 25360*y**3 - 25359*y**3 - 25355*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/116877040 and -129\/4760.\nAnswer: 116877040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*q + 231*q - 2184. Solve 28*m - 31*m = -q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 12, -5*t = 247*w - 253*w + 32 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 - ((-11 - -5) + 8 + -10) - -12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/26625 and -10\/71.\nAnswer: 26625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -11. Let n = -14 - q. Let w = n + 7. Which is the nearest to 0.1? (a) -0.2 (b) 1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3*(-6)\/4. Let m be 21\/6*8 - h. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14755 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99064)\/(-549))\/(-58)*(-45)\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(152)\/(sqrt(8) + -1*sqrt(8) - sqrt(8)) + -4)*-5.\nAnswer: -30*sqrt(19) - 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548186757, 548186756, 548186753, 548186748, 548186741, 548186732, 548186721?\nAnswer: 548186708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*8\/(-64))\/((-6)\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -10*f**3\/3 - f. Let a(l) be the third derivative of -l**5\/30 - 250*l**2. Give i(a(z)).\nAnswer: 40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.17 (b) -0.07 (c) 4 (d) -4 (e) -263 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14)*16 - (12 - (-3024)\/(-152))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 92\/(-20))*-5. Suppose -w + 4*k - 17 = 3, -m = 3*w + k. Suppose -5*q - 20 = -10*q. Put w, q, -3 in ascending order.\nAnswer: w, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -130, -493, -1214, -2413?\n\"Answer: -20*g**3 + g**2 + 12*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let c be z(1). Find the common denominator of (-61)\/(0 - c*-9) and 81\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96295?\nAnswer: 5, 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3*h**3 + 2*h**3)*(-h + 0*h - h) - 3*h**4 + 7*h**4 + 0*h**4 + (0 + 0 - 2*h**3)*(-12*h + 0*h - 11*h) + h**2 - h**4 - h**2.\nAnswer: 53*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 412\/1545*(-1)\/(-2)*3\/(-4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 7*j + 14 - 21 to the form q + p*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 >= 898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b - 10 = 0. Sort b, 1\/4, -23.\nAnswer: -23, b, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1157 = -23*s - 3144. Let d = 344 + s. List the prime factors of d.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4879 = -6570*v + 6283*v for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 10:40 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**5*w**3 + 27*i**5 - 66*i**2*w**3 - 21*i**2 wrt i.\nAnswer: 360*i**2*w**3 + 1620*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -19, -5, 0, -4 in descending order.\nAnswer: 15, 3, 0, -4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 20*s + 24 to the form h*s + z and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134304006 divided by 3.\nAnswer: 44768002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 6 + -2 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21\/124 (b) -3\/2 (c) 11 (d) 53 (e) 0.3 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2154977.19ms?\nAnswer: 0.024941865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*o = 2*s - 53962, 0 = -5*s - 5*o + 53980. Suppose 5*c - s = -2*c. Suppose c = 5*a + 217. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/39 + 347\/3. What is the second derivative of d*x**2 - 47*x**2 - 57*x**2 + 57*x - 66*x**2 wrt x?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23888688 divided by 3981448\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75891 and 4936.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 100167 and 100165 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) -2 (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 46 = 15*t. Let l(q) be the second derivative of 0 - t*q + 1\/6*q**3 + 0*q**2. Let k(u) = -u**2. Give l(k(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3215\/20 - (-6)\/(-8). Suppose v + h = 5*v. Suppose -3*k + 4*l = k - 48, -5*k - 5*l = -v. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 860.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44122235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 77 (c) -1 (d) -27 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7338183.13 - -2908.9?\nAnswer: -7335274.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167062 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: Which is the second biggest value? (a) -4\/17 (b) -0.5 (c) 5\/3 (d) 2\/3 (e) 90 (f) 9 (g) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b**3\/7 + 48*b**2\/7 + 60*b\/7 + 16\/7 = 0. What is b?\nAnswer: -2, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3 and -89\/214458?\nAnswer: 214458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b - 198. What is l(27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let w(g) = -3*g**2 - g - 1. Let s(h) = -w(h) + y(h). Let u be s(-2). Let r = 8 + u. Solve 2*m - 4*b = r, -m - b - 5 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3839 + 3840. What is the nearest to 0 in 0.5, f, -2263?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.88 - 19. Let c = 2.42 + m. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 divided by -6.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 11*k + 2. Let u be b(9). Let m be (1 - (-116)\/u)*208. What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7931*y**5 - 288*y**2 + 38540*y - 32 wrt y?\nAnswer: -158620*y**3 - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 19*a + 88. Let k be j(8). Suppose k = -7*y + 26*y - 12578. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/22351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156*c**6*i + 177955*c**4*i + 48*c**2*i + 2*c**2 - 224189*i wrt c?\nAnswer: 18720*c**3*i + 4270920*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6181628.039 rounded to the nearest ten thousand?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let r(w) = 5*w**3 - w. Let i = -116 - -115. Determine i*f(h) - r(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 + 54438*a**2 - 108867*a + 54432 = 0. Calculate a.\nAnswer: 1, 18144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.103, -0.5026, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4974009.\nAnswer: 1\/4974009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (33 + -6)) + 12\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -26 + (6 - (-4 - 7))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus -4606.41145?\nAnswer: -4606.37145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(200) + -1 + sqrt(200) - sqrt(200))**2*-5.\nAnswer: -1125 + 500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65683 divided by -5?\nAnswer: 65683\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1872) + -2*sqrt(1872)) + sqrt(1872) + (sqrt(1872) - ((-1*-2*sqrt(1872) - sqrt(1872)) + sqrt(1872))))*2)**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 375739927 to the power of 1\/4, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 53 = -233. What is the greatest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - -213?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -30. Solve -i*w + 4*o + 8 = 2*w, 0 = -4*w - 4*o - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q - 48655 = -y, -q - 5*y = -24332. Suppose 11*h + q = 64*h. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 1572*p**2 + 300078*p + 1857492 = 0. What is p?\nAnswer: -6, 351, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 157, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45386 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27800 and 118700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1 + sqrt(17) + -3)**2 - sqrt(51)\/sqrt(3)*4) + 0.\nAnswer: -8*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121\/(-66) - (-1)\/(-6) - -411?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -301, -695, -1249, -1957, -2813?\nAnswer: -3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238686 - 47527 = 19*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 30*v**4 + 4*v**3 - 7*v - 4. Let j(k) = -k**3 - k + 1. Let o(s) = -b(s) - 4*j(s). What is the second derivative of o(f) wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 9*s + 35. Suppose -12*w - s*w + 38 = 0. Solve 6 = -4*r + w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 + 20*c**2 + c + 24. Let k(t) = t**3 - t**2 - t - 1. Let y(n) = g(n) + 4*k(n). What is the units digit of y(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)*p)**(1\/86)*p*p**(-1\/3)*p*p\/p**5)\/((p**(2\/21)\/(p*p\/(p*p**7*p)))\/((p**(-1\/2)\/p)\/p)**(10\/3)) assuming p is positive.\nAnswer: p**(-160327\/9030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -55. What is the tens digit of 9\/(-3) + 0 + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*z - 4550 = -216*z + 850 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:08 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9 + 77*l + 1 + 36 + 41. Let z(a) = -1. Let c(u) = i(u) - 6*z(u). Find the first derivative of c(y) wrt y.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-3) - -1)\/(6\/(-2376)). Calculate the greatest common factor of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8749764*l**3 + 61272012*l**2 + 165664*l + 112 = 0. Calculate l.\nAnswer: -7, -2\/1479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 k when four letters picked without replacement from {x: 1, e: 5, m: 5, k: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/30 - 5*f**3\/6 - 35*f. Find the second derivative of m(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9248.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37537038 and 990?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + 1)*(-1439*v**2 + 600*v**2 - 193*v**2) - v**3 - 3*v**3 + 2*v**3.\nAnswer: -1034*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j*j**(2\/17)*j*j**1\/j**(-3\/10))**(-23) assuming j is positive.\nAnswer: j**(-21183\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-4890)*26\/(-351)*-1*(-9)\/(-6)?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbybbbybbbbbbbbbbbb. What is prob of picking 4 b?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + 91*c + 371. Let p be b(-19). Solve -34*q = -p*q - 260 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) 3\/52 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 + 10*o + 81. Let p(b) = -58*b**2 + 39*b + 323. Let n(k) = -2*p(k) + 9*v(k). Calculate n(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 94264905?\nAnswer: 94264905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w\/(w\/w**(-1)))\/(w**(-3\/4)\/w))\/(w**(-4)\/(w**(1\/3)\/w)) assuming w is positive.\nAnswer: w**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**4 + 3*i**2 + 2*i + 6. Let j(d) = 7*d**4 + 3*d**2 + 2*d + 7. Let p(r) = -6*j(r) + 7*v(r). What is the second derivative of p(t) wrt t?\nAnswer: 168*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1985 + 15917\/8. What is the common denominator of u and 12\/13?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 43660499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 10 = p, -5*x + 3279 = -4*p + 3324 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78 and 0.91?\nAnswer: 78.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 37874?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1579.4 - 1569. Which is the nearest to -1\/4? (a) -0.2 (b) 0.2 (c) t (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:56 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 1:31 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-53 - (-32 + -41)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159556 divided by 3.\nAnswer: -159556\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**2 - 2*c + 10. Determine k(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*b - 2*b - 161, -o + 4*b = -77. Suppose -o + 9 = -4*y. Suppose -m + 4*m - 2*a - 30 = 0, -4*a = -2*m + y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 g when three letters picked without replacement from qaffzgf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o = -15*o - 11*a - 218, -76 = -o + 4*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -8, -29, -60, -101, -152?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-15)*35\/28*-1)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.279 - 0.4.\nAnswer: 4.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((12\/63)\/2). Suppose 3*j - 35 = 5*q, -5*j + 132 = -2*q + c. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-3 + -9 + 12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116.589 - -98.197. Let d = m - 215. Round d to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccw when three letters picked without replacement from {n: 2, c: 3, w: 5, j: 2, v: 1, r: 7}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 17*x**2. Let l(r) = 15*r. What is n(l(f))?\nAnswer: 3825*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 25437, 0, 1667, 5 in decreasing order.\nAnswer: 25437, 1667, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -28*h**3 + 124*h**2 - 48*h = 0?\nAnswer: 0, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 479*-1011\nAnswer: -484269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -3\/4, -5, 0.14244?\nAnswer: 0.14244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 39*h**2 - 76*h - 1089. Let r be l(-19). What is the closest to -1\/4 in 14, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 318.5861 kilograms?\nAnswer: 0.3185861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-185)\/(-10) - (-2 - (-5)\/2). Suppose 37*n - 1805 = i*n. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51120 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 + 3.6. Sort -1\/5, -2, y.\nAnswer: -2, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/75 + (-62)\/(-6). Solve -7*r + i = -2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075 (base 8) in base 6?\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 8. Let h be z(-2). Suppose h*v - 304 = 626. What are the prime factors of v?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 10*v**2 - 15*v + 10. Calculate m(-5).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-32)\/12) + 5500\/(-400).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1)\/i))**12\/(i**(2\/5)*i**(-10\/7)\/i) assuming i is positive.\nAnswer: i**(1331\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (55 + 21 + -40)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -93578 times -0.4704?\nAnswer: 44019.0912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1950 by 325.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 108*p + 15104.\nAnswer: -2*(p - 64)*(p + 118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 13. Let x be h(9). Suppose 0 = -2*u + 3*o + 13120, -5*o + 26347 = x*u + 85. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(3*n - n + 0*n)*(-105 + 74*n + 105 + (5 - 2 - 1)*(-3*n + 0*n + 2*n)) in the form h + k*n + f*n**2 and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 + 62.9853. Round d to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 999 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1863.66432 hours in weeks?\nAnswer: 11.09324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-12))\/((-1)\/(-297)). Does 20 divide q - 3\/((-6)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*q**2 - 27*q**2 - 20*q**2 - 30*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 12*w - 2*w)*(14*w + 5 - 5).\nAnswer: -238*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*a + 11, 2*a + 1 - 3 = 0. Suppose 0 = 4*c - 2*y + 24, c + 22 = 4*y + 23. Is c greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (34 - 12) - 5) + -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*480\/(-144).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + b = 6, -u + 8*b + 6 = 11*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 52738?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3448 (b) 1\/7 (c) -0.1 (d) 0 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(312))\/sqrt(12))\/(sqrt(648)\/sqrt(9)))**2 - ((1 + sqrt(1872))**2*-1*4 + -1).\nAnswer: 96*sqrt(13) + 67489\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u - 20*u + 3*u + 12*u - 689.\nAnswer: u - 689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8324 - 8348 + 2*u + 17005)*(3 + 2 - 3) as j*u + r and give r.\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1457 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -14*m**2 + 17*m - 8. Let b(l) = 3*l**2 - 4*l + 2. Determine -18*b(u) - 4*r(u).\nAnswer: 2*u**2 + 4*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3278 = -2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(54) + sqrt(108)\/sqrt(2))\/sqrt(3) + -5.\nAnswer: -36*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -6\/5*n - 2\/5 - 6\/5*n**2 - 2\/5*n**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50852 is divided by 187?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1114343413 (base 6) to base 5.\nAnswer: 11114100220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 7 - ((-252)\/(-30) - 5). Sort f, -0.3, 18\/5, -1 in descending order.\nAnswer: 18\/5, f, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 493350.18 or -0.7?\nAnswer: 493350.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) -5 (d) 4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 2*j + 2*j + (4 + 0 - 5)*(-6*j + 2*j + 3*j) + 59*j - 765 + 765 - 8 + 4*j + 8.\nAnswer: 65*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -17, -156\/124669?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**5\/60 - 4704*b**2 + 2. Let n(f) = -680*f - 2. Give n(x(t)).\nAnswer: -680*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 5*s**2 - 5*s - 7. Let t be y(6). Let q(c) = -5*c**2 - 2*c - 1. Let x be q(t). Let i(b) = b**3 + 4*b**2 - 2*b - 4. Give i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 303313005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371934314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289801 - 546*n + 6*n**3 - 289807 + 546*n.\nAnswer: 6*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2. Let k(n) = 23*n. Determine t(k(l)).\nAnswer: 529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208853141*o**2 + 366355890*o.\nAnswer: -417706282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1274515 divided by -43.\nAnswer: -1274515\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*p + 13 = 3*p, -i - p + 23 = 0. Let l(x) be the first derivative of 7 - x**3 + x**3 - i - 5*x**4 + 20*x. Find the first derivative of l(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 35. Determine r(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 123130221 (base 4) in base 15?\nAnswer: 234a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1010000110110101?\nAnswer: -1010000110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 332\/14 + 2 + 4\/14. Suppose -20 = 3*x - y. Put -5, -2, x, 0 in decreasing order.\nAnswer: x, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 2*x + 9*x - 23. Let h be c(3). Let d = 12 + 0. Solve -r + h*r - d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 + 0.24. Suppose -3*w + 5*f - 3 = 0, -5*w + 2*f - 5 = 7*f. Which is the nearest to -1\/2? (a) k (b) -1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m - 5. Let i be h(9). Suppose -42 = -s - 39. Put s, i, 1, -3 in ascending order.\nAnswer: -3, 1, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/405579 or 1?\nAnswer: -4\/405579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14301154, -28602311, -42903468?\n\"Answer: -14301157*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 52.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 136461 (base 8) to base 12\nAnswer: 24041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (101 - 11) + -21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + k**3 + 2*k + 7*k**4 + 6*k**2 - 4*k**4 - 3*k in the form h*k**4 + f + c*k**2 + x*k**3 + p*k and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 643, 2969, 6935, 12541, 19787, 28673, 39199?\nAnswer: 51365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 58734780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0891 to three decimal places.\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*v + 289*v = -33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30739 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8395841 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let p be (7 - 2) + (-12)\/4. Let m(h) = -p*h**2 + 7*h**2 - 2*h**2. Give m(z(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**4 - i**3 - i**2 - 1. Let c(j) = -12*j**4 - 8*j**3 - 6*j**2 - 8 - 3 + 3. Let q(p) = -c(p) + 8*y(p). What is the third derivative of q(t) wrt t?\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72884?\nAnswer: 2, 7, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*y + 5315986 = -41*y - 1412482. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 2, k: 1, r: 1, c: 1, a: 3}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*y**3*z**2 - 2*y**3 - 4*y**2*z + y*z wrt z.\nAnswer: 374*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 951529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*g + 15, -20 = g - 5*g - 4*j. Suppose g*l - 576 = -3*l. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 10764.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (229566\/33)\/((-74)\/(-407)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21044530 to the power of 1\/2, to the nearest integer?\nAnswer: 4587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2. Let l(q) = -q + 3*q - 16 + 16. What is l(z(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 201*y + 213. Determine w(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14422 (base 7) in base 3?\nAnswer: -12110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 4*o**2 - 2*o + 4. What is the smallest common multiple of 6\/(-2)*80\/(-24) and n(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:50 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 6*n**2 - 2*n - 4. Let d be j(-6). Let t(x) = -x**3 - 6*x**2 - 8*x - 8. Let a be t(-6). What is the highest common factor of a and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14950.5 + -14951. Let p = 4.4 + 24.6. Let r = -21 + p. Which is the closest to 0.2? (a) l (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/409?\nAnswer: -3\/409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/42 + 64919\/28. Let t = 2337 - p. Find the common denominator of 37\/6 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437299 rounded to the nearest one thousand?\nAnswer: 437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j + j**2 - 14*j**4 - 9*j**4 - 7*j**4 + 31*j**4 + 2 to the form c*j**2 + k + w*j**4 + u*j**3 + y*j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 1:15 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148789 = 419*d + 1145018 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -225.67 - -225.57. Let i = 21 - 21.13. Sort i, -0.5, d in ascending order.\nAnswer: -0.5, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + t)*(t + t + 4*t)*(0 + 4 - 2) + (-1 + 0 - 1)*(-3*t**2 - 3*t**2 + 7*t**2).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 4*w + w - 2.\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 2*m**6\/15 - 9*m**2 - 12*m. Differentiate y(i) wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 18, 8\/3, 7, 2\/7, 1 in decreasing order.\nAnswer: 18, 7, 8\/3, 1, 3\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.3384 - 1.937.\nAnswer: -57.2754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5 - 5)*(-5 + 5 + 2*s**2) + 2*s**3 - 3 + 3 + (3*s**2 + 3*s**2 - 3*s**2)*(5 - 2*s - 5) - 5*s**3 + 2*s**3 + 0*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 58651912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/2652 and 79\/1224?\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 17 - 2. Let p(b) = -b + 5. Let w be p(2). Solve -4*u = a*k - w, 5*k = -u + 2*u - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2*b\/b**1)**(-2\/31)*(b**(-1))**(-28)*(b*(b*b*b*b**(-1))\/b)\/b**6 assuming b is positive.\nAnswer: b**(740\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1232 (b) -2\/7 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-168))\/(124\/(-248))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 8 = -8*q. What is the remainder when 38 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 - -1) + 3)\/(-2). Let p be 2*4\/16*y. Suppose p*l - 42 = -3*l + j, 38 = 2*l - 4*j. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 3.6. Let x = 3.836 - l. Round x to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 26 - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -402633073*l*q**3 - 280*q**3 + 39*q**2 + 124*q - 9 wrt l?\nAnswer: -402633073*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 693 and 59796.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2 + -1)*-3. Let y(l) be the first derivative of 3 + 7\/3*l**g + 0*l - 1\/2*l**2. Find the second derivative of y(m) wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422425 divided by -5\nAnswer: -84485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267843522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:14 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251148096?\nAnswer: 2, 11, 31, 57329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13157 divided by 197\nAnswer: -13157\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 o, and 1 x when three letters picked without replacement from ogxgcixgoggoqoo.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 2 - 5*q + 15*q. Is 4 a factor of g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -5. Suppose 5*u - 4*u = 10. Let i = 15 - u. Put x, 3, i in descending order.\nAnswer: i, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 3, n: 1, h: 1, t: 1}. What is prob of sequence nh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 5*v)*(v - 6*v + 9*v)*(v - v - v).\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-3))\/(r**1\/r)**(-6\/7) assuming r is positive.\nAnswer: r**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 3:11 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = m - 22, -2*t + 8 = 4*m - 20. Sort -3, 3, t, -7 in increasing order.\nAnswer: -7, -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddjh when four letters picked without replacement from {s: 6, d: 2, b: 2, h: 3, j: 3}?\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3. Let j(q) = -5 + 4 + q**2 - q - 2*q**2. Let k(p) = -g(p) - 2*j(p). What is the tens digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - sqrt(99)*1*5) + sqrt(99))\/(-1*sqrt(9)*-1) - (0 + 4 + -2*sqrt(99)).\nAnswer: -4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - y - 165. Let l be d(-11). Let x = l + 1875. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*h**3*x**2 + 2273*h**3 - h**2*x + 28*h*x**2 - 4*x**2 - 12 wrt x?\nAnswer: 152*h**3 + 56*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -441*a**5\/20 + 6*a**2 + 11*a + 6. Let o(f) = -3*f. Give o(y(m)).\nAnswer: 3969*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/51359 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*t - 3853 + 1991 + 1352 + 2471 = 0 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 836\/3 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 10*a - 2. Let s(p) = 5*p**2 - 11*p + 3. Let v(x) = -5*s(x) - 6*z(x). Let f be v(-2). Suppose 5 + 19 = f*d. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27 or -42?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7139620.\nAnswer: 2, 5, 356981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 2*v - 2. Let y(l) = 2*l**2 + 7*l + 7. Let u(h) = 7*g(h) + 2*y(h). Suppose u(s) = 0. Calculate s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*b + 520 = -269*b. Calculate the remainder when b is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 43529*m**2. Let c(p) = 3*p**2. What is c(w(v))?\nAnswer: 5684321523*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 504584 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 94 = 91, -3*f - 3*m = 12. Let q = 0 - 7. Let s = q - -6.8. Which is the third smallest value? (a) -4 (b) f (c) 2\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(2*sqrt(162) + 2)*-2*5.\nAnswer: 100 + 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20573332.\nAnswer: 2, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4 - a**2 - 4*a - 2 + 33*a**3 - 566*a**3 + 5*a to the form r + v*a**3 + p*a + f*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(0 - 252\/(-15)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*k - 22 = 5*k, 0 = 4*y - 3*k + 30. Let c be -2 - 10\/y - (-100)\/390. Let o(z) = z**2 - 9*z + 1. Let a be o(9). Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = -11. Let g = m + -4. Suppose g*c = -5*c + 15. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m + 1. Let v be i(4). Let j = 0.2 - 0.7. Which is the second biggest value? (a) j (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**5 + 9000068*g**4 - 168289973*g**2 wrt g.\nAnswer: 480*g**2 + 216001632*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w = 2, 2*w = v - 5. Let a = v - -10. Suppose 2*h = 3*h - 5*y - 8, -y - a = -4*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1933 - 1930. What is the third biggest value in 42, -0.1, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -2\/15, 0, 0.5, -3, -167 in decreasing order.\nAnswer: 0.5, 0, -2\/15, -3, -33, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 23*f. Let c(u) be the second derivative of -u**3\/2 - 16*u + 8. What is j(c(s))?\nAnswer: 9*s**2 + 69*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jwjjjwnu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 52 = -25*d. Let x be (d - 0)\/(3*(-4)\/(-5286)). Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*m**3 - 12*m**2 + 12*m**2.\nAnswer: -136*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 1\/12, -0.5, 0.041?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 8}. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 9*z**2 - 9*z**2 + 0*z + 5*z + 6. Determine t(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, q: 4, k: 1, u: 7}. What is prob of picking 1 k, 1 p, and 1 g?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3804 + -3791. Let d(m) = -m**3 + 13*m**2 + m - 3. Give d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 11*k**2 + 2*k - 12. Let n be v(11). Solve n = 4*x + 5*u, -2*u - 29 = -5*x - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1380273940 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1341 - -951. List the prime factors of r.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 1562 = -5*u + 16044, -2*u - 5*v = -7050. Suppose -6*p + u = -8582. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 751.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 4*j + 5*j)*(0*j**2 + j**2 - j**3 - 3*j**2).\nAnswer: j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2975, -12242, -27789, -49610, -77699, -112050, -152657, -199514?\nAnswer: -252615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33593504 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 1 e when three letters picked without replacement from {e: 2, b: 3, j: 5, q: 1, g: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c7ac (base 16) in base 4?\nAnswer: 1130132230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 14 + -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*((sqrt(650) - sqrt(650)*1 - sqrt(650))\/sqrt(2))**2)*4.\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 422, 878, 1348, 1838, 2354?\n\"Answer: v**3 + v**2 + 446*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5252*g. Let f(p) = 10*p - 1. What is x(f(u))?\nAnswer: 52520*u - 5252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1254504 and -83\/1608.\nAnswer: 84051768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -364 - -161?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*6\/2 - -2. Solve 26 = 3*y + q*x, 5*y + 2*x = -0*x + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*i**4 - 61*i + 61*i)*(0 - 2 - 1) in the form m + t*i**3 + z*i + n*i**4 + j*i**2 and give n.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 10*n - 16 = r, -2*n + 44 = -3*r. Let l(z) = -z**3 - 11*z**2 + 13*z + 18. Let a be l(r). Solve -2*c = -a + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 10*c + 8. Let b be f(8). What is the greatest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 310 - 236. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*a - c = -243, -57356118*a = -57356113*a + 2*c - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22248*c - 2*k = -22247*c - 11, 0 = -4*c - 3*k + 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(71 - (-896)\/112)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/29)\/((-68)\/1972)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -9381 (c) 6.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2709 divided by -3?\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 173. Let f = -5 + 5.4. Which is the biggest value? (a) -0.2 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.82 + 107.42. What is the closest to 1 in -3, -82, i, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9270240 divided by -465.\nAnswer: 19936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.3 - -17. Let o = -0.2 - g. Which is smaller: o or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 47*i**2 - 40*i + 388. Let v be t(-48). Solve -v*k - 5 = -5*n, 0 = -4*n - 3*k - 20 - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = w + 23, -5 - 67 = -3*k + 2*w. Let i = k + 74. Calculate the highest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18. Suppose -5*v + 82 = -u, -5*v - 2*u + 77 + 14 = 0. Let r = -8 - -19. Solve 0 = b + 2*d + r, -d = -4*b - p - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 4*z**3 - 480*z**2 - 1728*z.\nAnswer: 2*z*(z - 18)*(z + 4)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c + 4. Let g(s) = s + 3. Let d(m) = -2*g(m) + r(m). Determine d(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 705 = 19405. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.98 + 0.02. Let r be (-1)\/2 - (-20)\/72. Let m = -0.07 - -3.07. Which is the closest to r? (a) g (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-768)\/6912 + ((-292)\/9)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395407 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + -11 - -10) - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 12\/8)\/((-1)\/((-18)\/27)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529354 divided by 33?\nAnswer: 529354\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 divided by -1?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 34. Let c be i(-3). Suppose 5*d + 0*g = -5*g - 45, -2*d = -3*g + 23. Let t = d + c. Calculate the greatest common divisor of t and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 4. Let v = -124 + 113. What is the remainder when z(v) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 - 454*k**2 + 20736*k + 20365344 = 0. What is k?\nAnswer: -324, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbzqbbfqoqbtto. What is prob of sequence fo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 5*r. Let k be l(3). Suppose -z - 50 = -k*z. Suppose 3*x + z = x, -48 = -w + 5*x. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 6)*(4 - 2*s - 4)*(0 + 2 - 4)*(-2*s - 2*s + 5*s).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4719?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1)\/h)*h)**(19\/5)*((h**(-2\/5)*h)\/h)**(-2\/41) assuming h is positive.\nAnswer: h**(624\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(252)*-3 + -3 + -4))**2.\nAnswer: 9072*sqrt(7) + 83412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 10\/((-70)\/(-16647)) + 2\/(-14) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -430*t**2 + 4 + 5*t**3 + 430*t**2 to the form h*t + g*t**3 + q*t**2 + x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*s - 3273*s - 785*s + 110577 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133421 + -143222?\nAnswer: -332143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 604.314 + 0.966774239.\nAnswer: 605.280774239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 964, 3740, 8370, 14854, 23192?\n\"Answer: 927*k**2 - 5*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8151, -7952, -7765, -7596, -7451?\n\"Answer: -t**3 + 206*t - 8356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7639 + 0.8639. What is the fourth biggest value in 4\/5, -0.09, -3\/2, y, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5279 is divided by 408.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500 and 1180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -54, -100, -172, -276, -418?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, -3, 1, 6, -1, 2, -2 in decreasing order.\nAnswer: 6, 2, 1, -1, -2, -3, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-18))\/(a**(-7\/6)\/a)*(a**20\/a)\/(a*(a*(a**(-4\/13)*a)\/a)\/a))**(3\/13) assuming a is positive.\nAnswer: a**(271\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g - 5*v + 25, -5*g - v = -5. Suppose g = 3*n + 8 + 16. Let q(i) = -i - 5. What is the units digit of q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/165)\/((-1)\/5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*y - 14, 0 = 3*r + y - 0*y - 10. Let m(u) = -3*u**2 + 0*u**2 - u**r - u**2. Let l(s) be the first derivative of s**2\/2 - 1. Calculate l(m(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-1 + 1 - 2)*(2*o + 3*o - 2*o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 0.01886.\nAnswer: -3.98114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7723 (b) 1\/4 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16634 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175410627.\nAnswer: 3, 7, 23, 47, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7629.26*-0.0266\nAnswer: -202.938316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 x when three letters picked without replacement from pqjxqqt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -548.203761 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 143. Suppose -2*j + 4*m + 682 = j, -5*m + 493 = q*j. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 40. Suppose s + 109 = 5*v. What is the highest common divisor of v and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3273\/8 bigger than -410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 + 672*z - 13332 = 0.\nAnswer: 22, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 371, 510, 723, 1010?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 142 - 296. Let j = -5.742 - -4.742. Are a and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 + 4 + 90*h**4 + 8*h - 3 - 94*h**4 wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -237\/2*u**2 + 9 - 5*u. Is i(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**8\/1680 - d**7\/420 + d**6\/360 + d**5\/60 - 13*d**3\/3 + 8. Let l(y) be the third derivative of h(y). Factor l(u).\nAnswer: -u*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 7*m + a, 25*a - 26*a = 3*m - 39. Let r(y) = -1. Let w(s) = -21*s - 14. Give m*r(c) - w(c).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cac when three letters picked without replacement from {a: 13, c: 3}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:50 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ssczcycyycczyszscz?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**3 - h**2 + 19*h + 8. What is the units digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 9. Let g(j) be the first derivative of 4*j**2 - 639. What is f(g(b))?\nAnswer: 128*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 606\/(-4)*(-1)\/60 and (4\/(-8))\/(38\/(-190)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 872.0696 weeks?\nAnswer: 146507.6928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56158 (base 9) to base 10.\nAnswer: -37313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -194704.\nAnswer: 973520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2.9, -3, 30, -4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60726283?\nAnswer: 2531, 23993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**(-3\/20)\/(r**(1\/2)*r**(-1))*((r*r\/r**7)\/((r**(-1\/3)*r*r)\/r*r))**12 assuming r is positive.\nAnswer: r**(-398\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38901731243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 3821*c**4\/4 - c**3\/3 + c**2\/2 + 3*c + 23. Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15341c (base 13) to base 10\nAnswer: -521390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/105 and 47\/102375?\nAnswer: 102375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a2 + -e9?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 936435793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 484 = -r, r - 5*a = 424 + 42. What are the prime factors of r?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8504747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*c = -1757, d - c - 126 = -476. Let y = d - -616. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -4*g - 3*q, -1 - 18 = -2*g - q. Let w(f) = 2*f + 1. Let h be w(1). Suppose -a + 4 + h = 0. Is g at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 1179\/22. Is 1 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 2124?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 14. Suppose -4*i = 3*w + 44, -5*w - 24 = 3*i + 9. Let g be m(i). Suppose u + g = 5*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -13*d**2 - 57*d - 379. Let s(x) = 5*x**2 + 28*x + 189. Let r(y) = 2*j(y) + 5*s(y). Differentiate r(h) with respect to h.\nAnswer: -2*h + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5\/q*q**(11\/4))**2)**38 assuming q is positive.\nAnswer: q**513","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y = 197*y - 6279 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 + 4*x**3 + x**3)*(4 - 2*x - 4) - 4*x**4 + 0*x**4 + 3*x**4 + (8 + 0 - 1)*(4*x**4 - 4*x**4 + 3*x**4).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.69 - -2.8. Let j = -0.89 - n. Let i = j - -1.000032. What is i rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6723 by -2.\nAnswer: -6723\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (372\/21 - (-2)\/7). Let m = -22 - p. Let h(r) = 5*r**2 + 2*r - 26. What is the remainder when h(m) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y + 103 - 302 + 102 + 95. Give x(-4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 3. Let a be g(-3). Calculate the common denominator of (a\/(-8))\/((-11)\/32) and ((-5292621)\/1620)\/(-181) - (14\/5 - 2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2793, -2543, -2295, -2049, -1805?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*k + 4*k - 13, -10 = 2*k - 4*z. Let r = k + 6. Let t be 4 - (-25)\/(-5) - (r - 1). Solve 0 = 5*q - 5, -3*m - 4*q + t = 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -675*u + 1406 = -749*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 5*q - 2. Let z be g(5). Let v(m) = -427 + 841 + m**3 - 413. Determine v(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-105)\/(-30) + -4 - (-818)\/4.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 - 12101?\nAnswer: -22220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-20)\/(-5))\/28*((-88)\/(-12))\/(-22))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 618 or 650?\nAnswer: 650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*l + 5055*l + 3531*l.\nAnswer: 8982*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 27 - 9. Let n be w\/(-21)*(-1)\/(-2). Let a = 3 - 3.5. Sort a, -3, n in descending order.\nAnswer: n, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o**3 - 146*o**3 - 1491*o**2 + 1492*o**2 - 204*o**3.\nAnswer: -279*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 4. Suppose -2*u = 4*l - 4, -2*u - l + 1 = -0*l. Let b be s(u). Let x(q) = 3*q**2 - b*q**2 - 2*q**2. Let g(d) = -d**2. What is g(x(w))?\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 32*b - 15. What is the tens digit of i(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let j(w) = 6*w - 12. Give j(m(p)).\nAnswer: -6*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -a + 64, -i + 40 = -4*i + a. Let z be i\/(-9)*3\/2. Find the third derivative of 0*c**z + 6*c**3 - 3*c**3 - 3*c**2 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2*l**2 - 2*l + 14. Let q(t) = -7*t - 4. Give -3*q(b) + 5*y(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 128310956 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*i**3*j**2 - 124997*i**3*j + 250223*i**3 + 3*i**2 - 7 wrt j?\nAnswer: 428*i**3*j - 124997*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 107*m**2 + 80*m - 8. Let d(x) = 6*x + 15*x + 13*x - 34*x - 2*x**2 - 2. Let y(c) = 4*d(c) - l(c). Find the second derivative of y(k) wrt k.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 7. Let s(q) = -3*q - 7. Let n(d) = 4*r(d) + 5*s(d). List the prime factors of n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303587 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(sqrt(637) + 2 + 1 + sqrt(637) - (sqrt(637) + 1)*-3) + 2.\nAnswer: 34 + 175*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:14 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 14*z + 3. Let i(c) = -3*c - 4. Let x be i(-6). Let t be o(x). Is 3 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from tancxxcxax.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeheeeaeeeeeeee. What is prob of picking 2 e?\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*i = -13, 2*i = -2*t - 0*i + 2. Suppose d - t = 2. Suppose -d*k + 3*k = -58. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l - 48*l = 0. Sort l, 5, -1 in ascending order.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -12, -2\/3, -0.3, 2.9, 1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1514? (a) -3 (b) -11\/2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4322734.\nAnswer: 2, 13, 166259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (347\/(-1388)*48\/180)\/((-2)\/((-1420)\/(-2))).\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -27*y**2 - 248*y - 35. What is a(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 17*g**2 + 73*g - 140. Determine u(20).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/690)\/((-1320)\/(-29700))\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13) + -1)**2 + -2)*1.\nAnswer: -2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/40 + 19\/(-4). Let q be (-33)\/(-1) + h + (-4 - -6). Let s = q - 20. What is the highest common divisor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxsxssxxsxxsx. Give prob of picking 1 x and 3 s.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*b)*(5 - 5 + 3*b + (-2 - 3 + 3)*(-b + 0*b + 2*b) - 17*b + 7*b - 9*b) in the form f*b + p + n*b**2 and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u. Let n(j) = 1618*j**2. What is l(n(k))?\nAnswer: 4854*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78046558 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 19*r**2\/4 + 25*r\/2 - 8.\nAnswer: (r - 16)*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4788 by 1.\nAnswer: -4788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-12)*(3 + -15). Let s(o) = -o**2 - 5*o + 9. Let h be s(-7). Put h, -4, x in decreasing order.\nAnswer: x, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398 + 0.79.\nAnswer: -397.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 4*r + 4, 3*s = -r - 2361 + 2362 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u + 3)*(59*u**2 - 226*u**2 + 58*u**2).\nAnswer: 218*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -18. Suppose 77*d + r = 82*d. Solve 0 = -a - 3*a + x - 9, d*a + 1 = -5*x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 11 + 22*w as y + z*w and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4245\/4777?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 3*b**3 - 6*b**3)*(-2*b + 2*b - 2*b**2) + 76*b**5 - 33*b**5 - 18*b**5.\nAnswer: 37*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(63) + (sqrt(63) - (sqrt(63) - sqrt(63)*1)))*-4)\/(sqrt(108)\/(sqrt(36)\/sqrt(3))) - (-2 + sqrt(448) + (-2 + sqrt(847) - sqrt(7))))*3)**2.\nAnswer: -1872*sqrt(7) + 42732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 11. Let p be 46\/8*-10 - (-1)\/2. Let t = p - -65. Give f(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 118*r - 548. Let y be h(10). Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*y**4 - 155*y**3 + 155*y**3)*(-1 + 2 - 2*y + 0*y)*(-2 + 2 + 5).\nAnswer: -130*y**5 + 65*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*s + 1499 = -1777 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11804, 10\/7, 3\/4?\nAnswer: -11804","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*j - 5*q + 3*q, -2*q = 4*j + 110. Suppose -29 = -5*t + 6*t. Let r = j - t. Which is the closest to -0.1? (a) 3 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 159, 299, 513, 825?\n\"Answer: 4*p**3 + p**2 + 59*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -33. Let p = 0.23 - 0.18. Which is the second smallest value? (a) -2\/3 (b) -4 (c) y (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 - -279. Solve 2*m + s = g, 0 = s + 3*s - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 4*i)*(114 - 114 + 14*i) - 5*i + 5*i - i**2.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20203294 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1318 divided by -2.\nAnswer: -659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8986 is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 8*o + 5. Let f be v(8). Suppose -2*m + 19 + 86 = -j, -249 = -f*m - 2*j. Suppose -m = -5*k + 9. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 29?\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3 + 16264*n**2 - 489662*n + 473396 = 0.\nAnswer: -8162, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9270162 and 47878.\nAnswer: -9222284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/71271747?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 6:32 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3409663 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2078 or -203?\nAnswer: -0.2078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-5)\/(-25). Suppose -2*i - r + 29 = 0, 0*i - i + 5*r - 2 = f. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1012, 1059, 1146, 1285, 1488, 1767, 2134, 2601?\n\"Answer: 2*q**3 + 8*q**2 + 9*q + 993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/8208 and 85\/132?\nAnswer: 90288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180 - -179. Sort 0.3, s, -0.3, 4 in increasing order.\nAnswer: s, -0.3, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 99, 98, 97, 96, 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/17)\/(n\/n**5)*n*n\/n**(-1\/6)*n**9 assuming n is positive.\nAnswer: n**(1535\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ppcpcppppcpppccppc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/24 and 133\/54429036?\nAnswer: 108858072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 48 = 0. Let a(q) = q**2 + 35*q + 137. Calculate the remainder when a(-36) is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14359, 2084, 18527, 34970, 51413?\nAnswer: 67856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 - 3*h**2 + 3*h**2 + (-h**2 - 2*h**2 + 4*h**2)*(1 - 2*h**2 - 1) + 1091*h**4 - 5668*h + 5668*h.\nAnswer: 1087*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (228\/(-10))\/6 + 4. Let l be (-2)\/11 + (-8)\/77. What is the closest to -5 in l, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5978431?\nAnswer: 433, 13807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1835 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99)*-2 - sqrt(99) - sqrt(99)) - sqrt(99))**2 + sqrt(99) - sqrt(99) - ((1 + sqrt(99))*-1 + sqrt(99)).\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = 5*h, 4*n = 332 - 324 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 + 230784*j - 4438437888 = 0.\nAnswer: 38464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 3\/(-12). Let p be t\/((4 - 0) + -2). Suppose n - 3 = -p. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*n + 31, -4*n - 26*f + 27 = -23*f. What is the third derivative of 159*v**n + 3*v + 8*v**2 + 3*v + 4*v + 5*v - 11*v wrt v?\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/120 + 3\/108. Which is the third biggest value? (a) 5 (b) i (c) 9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5 + 193*o - 95*o - 81*o. Give v(5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17286908 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 12. Which is smaller: v or 17\/5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 205*w + w**2 + 56*w - 115*w + 367 wrt w?\nAnswer: 2*w + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 217\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128441305 to the power of 1\/2, to the nearest integer?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2072 and 4969396.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 267. Suppose -37*s + 72 = -s. Solve 6*j - m - s = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**5 - 4*z**3 + 2*z**2 - 82?\nAnswer: -540*z**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/2058 and (3*(-4)\/1890)\/((-11)\/((-14575)\/(-140))).\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 2. Let v be f(5). Suppose 4 = v*w - 8. Let z = -16 + 27. Calculate the remainder when z is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 12*w**2 - 16*w - 21. What is the remainder when 143 is divided by c(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 13*q**7\/42 - 5*q**4\/4 + 11*q. What is the third derivative of z(f) wrt f?\nAnswer: 780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24*o**2*v - 865*o**2 - 260*o - 5923*v**4 wrt v.\nAnswer: 24*o**2 - 23692*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwww when four letters picked without replacement from qnwbwwq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 - 768\/60)*235. Solve -j - 45 + t = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -1\/7, 127534.\nAnswer: -1\/7, 10\/9, 127534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1843? (a) -3 (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*a + 2*a = 0. Let w(o) = o - 3. Let m be w(7). Suppose 0 = -2*s - 5*i - 24 + 3, 4*s = 4*i. Sort s, a, m in decreasing order.\nAnswer: m, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - -0.4. Let d = -3.4 + 0.4. Sort m, d, -2\/7 in decreasing order.\nAnswer: m, -2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.697 - 1.697. Suppose 0 = 6*l - 12 - 0. What is the fourth smallest value in k, 0.4, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**3\/3 + 44972*q**2 - 349020000*q - 1556975000000\/3 = 0. Calculate q.\nAnswer: -1271, 17500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(171) - sqrt(19) - sqrt(19)) - -2*sqrt(171)) + (-1*(sqrt(190) + -1*sqrt(190)) - sqrt(190))\/((sqrt(110)*-1)\/sqrt(11)))**2.\nAnswer: -80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17424.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5918?\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.35424 meters in nanometers?\nAnswer: 16354240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(245) + -4 + -5*(sqrt(245) - (sqrt(245) - (sqrt(245) - (sqrt(245) + sqrt(245) + 2))))*4)*-2)**2.\nAnswer: 50512*sqrt(5) + 481044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -799, 5 in increasing order.\nAnswer: -799, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpw when three letters picked without replacement from pvvvvvpvvvvpvvpvpw?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + -101112012001012?\nAnswer: -101112012000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -10202?\nAnswer: -10102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7577 divide 704236688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22 + 19 + 1*-4. Put v, 3, -2 in ascending order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 10*g**5 + 329395*g**4 + 3610033425*g**3 + 13090333025000*g**2 - 805826725000000*g - 2096325000000000 = 0.\nAnswer: -11000, -5\/2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4514922 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 32*a**2 - 163*a - 207. Calculate p(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21500 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*3\/36*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -4802729?\nAnswer: -1921091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 - 248.19. Let h = x + 2.3. Let n = 34.89 + h. Is 1\/4 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + h. Suppose h = -2*c + 48 + 120. Is c\/(3\/1) + -3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 0.4, 13, -2845 in ascending order.\nAnswer: -2845, -0.2, 0.4, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.108\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 4, 2\/7, -1\/11 in decreasing order.\nAnswer: 4, 2\/7, -1\/11, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17.4468*-4\nAnswer: 69.7872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 8 - k + 14 + 13. Let z be s(-13). Suppose -j - 10 = -z*j. Solve -2*q - 3*p + 7 = 29, -j*q + 5*p = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*f + 940 - 2412 = 16*f + 2038 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47\/518 + -6\/37. What is the biggest value in a, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6\/(c\/(c\/(c*c\/((c**7\/c)\/c*c))))*c\/c**(-8)*c**(-1))**(-28) assuming c is positive.\nAnswer: c**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*y + 5426 = 5402 - 20892 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2. Let l(d) = -d + 22. Suppose -3*c + 3*q = 2*c - 7, -3*c = -3*q - 3. Let a(g) = c*l(g) - 22*o(g). Let s(j) = j. What is s(a(z))?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2891402 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 144268 = 253532. What is u rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -180. Suppose 5*z = 5*o + c, 0 = -5*o + 8 - 28. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 0*c - 4*c)*(0*c**3 + 0*c**3 + 2*c**3) + (11*c - 4*c + 0*c)*(2*c**3 - 2*c**3 + c**3) + 5*c**2 - 5*c**2 - c**4.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s + 3. Let n(q) = -95*q + 19. Suppose 19361*w - 152 = 19353*w. Give w*z(k) - 3*n(k).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-133) + 90\/(-35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11477976*f**3 - 2*f**2 + 11477972*f**3 + 2*f**2 - 22955941*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*b + 6, 22*b - 25*b + 6 = 0. What is the least common multiple of 18 and (233 - 5)\/(6 - w)?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -47*s**3 - 3*s**2 - 4*s - 2. Let i be h(-3). Let y = 28802\/23 - i. Suppose 4*b = -5*u + 3*b - 5, 5*u - 5*b + 5 = 0. Is u <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 20*v + v + 29*v. Let i(b) = 10*b - 67. Determine i(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/8 + 143\/40. Which is the nearest to y? (a) 0.02 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*r + 2873, r - 2*n + 6*n = 565. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5673258*d**2*r - 615*d**2 + 91*d - r**2 wrt r.\nAnswer: 5673258*d**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 + 274. Let p = m + -39. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = x + 2. Suppose 3*q + 11 = x*o, 4*o - 17 - 3 = 4*q. Let p = q + 11. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -66 = -1101\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16651 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*i + 70*i - 204120 = -82*i. Is 90 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (4 - 0). Suppose -2*k + 9 = 5*o, q*k - 21 = -2*o + 37. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -23770.\nAnswer: -3\/23770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4 - 3*j - 12 + 280*j. Is m(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0.5, 0.02, 2\/3, 275, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15435 and 612360.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 5*o**2 + 256*o + 139. What is the hundreds digit of l(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7005030 is divided by 1093.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**2\/5 - 6362616*o\/5 + 5060360295432\/5 = 0?\nAnswer: 1590654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 781 and 355?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24357 divided by 4976\nAnswer: 24357\/4976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/((-8)\/7)*(-140)\/(-49). Calculate the common denominator of -149\/6 and -5 + 3\/a - 4\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -320525 >= -320525?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxvkv. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 61, 46, 9, -56?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6752964 less than -6752962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 5*i - 13 + 3*i)*(-1 - i + 1) to z + y*i + g*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88058, -9, -2, 2, 18, 1.\nAnswer: -9, -2, 1, 2, 18, 88058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 33*s**2 - 32*s + 5. Determine m(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291214347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*c**3 - 87*c**2 - 30917*c?\nAnswer: -846*c - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23055 divided by 53\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(4\/(-18))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/225*(-2)\/(-7)*-3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -34*t - 107. Let r be y(-5). Suppose 4*w = -0*w + 28. What is the highest common divisor of r and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/860351?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089 divided by 815?\nAnswer: -1089\/815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 146562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 21. Let y be (s\/(-4))\/((-1)\/(-7)). Let v be (3\/6)\/(y\/(-84)). Let q(b) = b**3 + 6*b**2 - 2*b - 5. Calculate q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 3*i + 6*i + 8*i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4355 - 4135. What is the lowest common multiple of 70 and c?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(5) + 1*sqrt(5) + -4)*-4)**2 + -2 + 5.\nAnswer: -256*sqrt(5) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 15*t**2 - 1. Let n be q(1). Let x be ((-4)\/(2\/(-2)))\/(-1). Let z = x + n. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 take away 45359?\nAnswer: -45359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Suppose -3*t + 6 = 0, s - 4 = -2*t + 6. Let j(x) = 3*x - 13*x + s*x. Determine j(v(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296175 and 84375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0256972ns in seconds?\nAnswer: 0.0000000000256972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/12 and -95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 3, c: 4, k: 2, b: 3, z: 2}. Give prob of sequence zczb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -8 (b) 2 (c) 118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 95?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103761 and 10449?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25451 in 3\/13, -0.3, -6, -3\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -4. Let u = d + 80. What is the remainder when u is divided by 6\/(-24)*2*-44?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/103 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 + 2422?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29818, 59652, 89486, 119320?\nAnswer: 149154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s**3 - 16*s**2 + 16*s**2 + 2*s.\nAnswer: -32*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8076 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*h**3 - h**3 - 18*h + 1 + 2*h wrt h.\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y + 2*y - 4*y - 22*y - 11*y + 12*y + y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 11}. Give prob of sequence mx.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 + -15 + -1 - 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 63, 42, 3, -60, -153, -282, -453?\nAnswer: -672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 9:39 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1684363934.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264*d = -1044*d - 1639 + 15719 for d.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m - m)*(-1 - 1 - 1) + (4 + 5 - 2)*(2*m + 2*m - 3*m) to f + y*m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-3) - 3) + 0. What is the second derivative of h + 3*h - 3*h + d*h - h**4 wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.037 and 0.062.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = 5*v, 4*v - v - 9 = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -1\/60*d**6 + 0 - 5\/6*d**3 + 0*d**5 + 0*d + 0*d**4 - 3*d**2. What is the derivative of h(m) wrt m?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**3 + 24*z**3 - 61*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-39)\/618) + (0 - (-130)\/(-845))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 - z**3\/6 - 6*z**2 - 3*z. Let h(u) be the first derivative of g(u). Give h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/14)\/(3*(-37)\/222)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4930000 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:28 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 187*v - 150. Let b(x) = -113*x + 75. Let i(d) = -5*b(d) - 3*q(d). Calculate i(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*b - 2034 = 118*b. List the prime factors of b.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*t**3 + 5*t**3 + t**3)*(-2 + 23 + 3).\nAnswer: 96*t**3 + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.3374 + 14.6612. Let u = 26 - g. Round u to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 50205283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 + 4*j + 3. Let p(l) = -l**3 - l**2 - l - 1. Let h(t) = p(t) + w(t). Let u = 2911 - 2915. Determine h(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1 - (-5 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g**3 + 1\/60*g**5 + 1\/48*g**6 + 0*g + 1\/672*g**8 + 0*g**4 + 0 + 1\/105*g**7 - 5*g**2. Factor a(s).\nAnswer: s**2*(s + 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 + 9*z + 9. Let w(i) = -5*i**2 + 4*i + 4. Let p(y) = 4*m(y) - 9*w(y). Let r(f) = 2*f. Give p(r(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -13 - -6 - -25737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, -3, -16?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 7. Let o be l(-8). Let d be o\/(-5) + 151\/20. Let z = d + -73\/5. Find the common denominator of z and 91\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8763799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + k + 14 = -11, 5*c - 2*k = 25. Let a(j) be the first derivative of -1\/4*j**4 + 2*j**3 - 5\/2*j**2 + 4*j + 3. What is a(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) - 1)*(-30 - -34)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5\/2 - 4*z**4 - 2*z**3.\nAnswer: z**3*(z - 2)*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148698926.\nAnswer: 2, 251, 296213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -39904 (b) -157 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 1:04 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.2\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1108, 3, 0, 2\/5, -2, 6?\nAnswer: 1108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10)*(-330)\/33*4\/(-72)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78735531 is divided by 165759?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 51\/(-85)*(1*-1 - 4). Determine u so that -15 + 0*u**2 + y*u**3 + 2*u**3 - 20*u + 25*u**2 + 5*u**3 = 0.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 26540\nAnswer: 7962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 - -0.1. Let p = 0 - b. Let v = 65.5 + -62.5. Sort v, 4, p in increasing order.\nAnswer: p, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**6 - 3382*b**5 + b**2 + 14346*b.\nAnswer: 480*b**3 - 202920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 425.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.07 (c) -18\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004041 rounded to five dps?\nAnswer: -0.00404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19663 divided by -107?\nAnswer: 19663\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -165 + 385. What are the prime factors of x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, -5, -4 in descending order.\nAnswer: 23, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 5. Let y = -61795 - -61803. Which is the fourth biggest value? (a) u (b) 0 (c) y (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112195 divided by -22439\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 66838974?\nAnswer: 1\/33419487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/3 - 38950*u**2 + 227370500*u + 6832805000\/3.\nAnswer: 5*(u - 11690)**2*(u + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -196 + 358. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**8\/1176 - 2*o**7\/735 + o**5\/105 + o**4\/84 - 3*o**2\/2 - 4. Let w(q) be the second derivative of a(q). Factor w(z).\nAnswer: -2*z*(z - 1)*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 8*v**3 + 8*v**4 + 16*v**4 - 41*v**4 - v + 14*v**4 to the form f*v + o*v**2 + g + j*v**3 + s*v**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:28 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * -26.9.\nAnswer: -2125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3714, -3719, -3728, -3741, -3758?\nAnswer: -3779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 + -15.3. Let g = d + 11.952. Let q = g + 0.04800135. Round q to 7 decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*l = 1644 + 765 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -0.1, 0, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1069455178 and 814.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 242270 to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*h + 5*h**3 - 108*h - 3 + 209*h to k*h**2 + m*h**3 + l*h + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/9 + 34*x**3\/9 - 232*x**2\/3 = 0.\nAnswer: -29, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.978948 litres to millilitres.\nAnswer: 1978.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301728975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6789, -6730, -6651, -6558, -6457, -6354, -6255?\n\"Answer: -j**3 + 16*j**2 + 18*j - 6822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 1:54 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 <= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - (147\/12 + -6) and -101\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16882 is divided by 201.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**5\/20 + g**4\/3 + g**3\/6 - g**2 - 99*g. Let b be y(-3). Solve -x = -2*x + d + 4, x = -b*d - 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -10*t, -g = -255065*t + 255070*t - 27 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let s(a) = -a + 4. Let h be s(t). Which is greater: h or -1\/24?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) -1 (c) -174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 13*c**2 - 1. Let a be 2\/(-1)*(-5)\/(-10). Let z be r(a). Solve -7*b = -3*b + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87969, -351703, -791255, -1406625, -2197813, -3164819, -4307643?\nAnswer: -5626285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:29 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368586 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 9*j + 18*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 2*f**3 + f**2\/2 - 3*f - 585. Let h = 0 + 4. Is r(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 706044416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(-1*(1 + -4 + sqrt(448)*-1))**2)*3.\nAnswer: -2742 - 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g**4 - 82785*g**3 - 37*g**2 - 3273*g - 3?\nAnswer: -360*g - 496710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o. Let f(r) = 39*r**2 + 9*r. Calculate -5*b(p) - f(p).\nAnswer: -44*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*p - 143*p + 14*p - 4809 = 0 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -346059\/121 - -2860. Is k >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 + 9*j + 7. Give q(-6).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -174. Let x(o) = 13*o - 1. Let q be x(2). Solve h = -3*a - 2*a - q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1359.6 + 1360. What is the nearest to 1 in 5, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -216\/77 + 34\/11. Which is the closest to -0.2? (a) -0.2 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let z(c) be the second derivative of 31*c**4\/4 + c**2\/2 + 4*c + 405. What is q(z(b))?\nAnswer: 279*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -765\/3899357 or -1?\nAnswer: -765\/3899357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18138 = -10*o + 10962. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.981865m?\nAnswer: 1981865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/320 + -1613\/4160. Let a = -3\/26 + w. What is the closest to 1 in 1\/10, a, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - 5.2. Suppose 79*z = 200*z - 78*z - 68*z. What is the third biggest value in 2, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 854552788?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -219656 divided by -219656\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 12:36 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqmmqqqq. What is prob of picking 2 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, z: 2, f: 1, p: 1, y: 11}. Give prob of sequence ifp.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 0*q - 25\/12*q**3 - 5\/16*q**4 + 1\/4*q**5 - 58 - 15\/8*q**2. Let d(x) = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-2*3 - sqrt(76))\/(sqrt(28)\/(sqrt(7)*1)))**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 716.7 - 681. Let g = v - 38. What is g rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/228 and -107\/120?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 975837060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*u + 15*u + u + 642*u**2 - 3*u + (3*u - 5 + 5)*(1 - 1 - u).\nAnswer: 639*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 1.901?\nAnswer: 1.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 47 = 162. Let w = -3 - 0. Which is the third smallest value? (a) n (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 4 = -4*i + 12, -5*y = 3*i + 23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/10)*j*j*j*j\/j**(-12)*j)**(-9\/10))**5)**(-20\/3) assuming j is positive.\nAnswer: j**501","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10587435019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 2. Suppose t*u - 395 = 2*i, i - 528 = -4*u + 3*i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + l - l + (2*l - 2*l - l)*(-2*l + 4*l + 2*l)*(4*l - 1 + 1) to the form o + b*l**2 + t*l**3 + w*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 5392*b**4 + 1800696*b**3 + 11167312*b**2 - 56182876*b - 219997920 = 0.\nAnswer: -8, -3, 5, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(4*d**2 - 4*d**2 + d**2 + (d + 0*d - 2*d)*(0*d - 4*d + 2*d)) to the form z*d**2 + v + a*d and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/58 - 105\/638. Calculate the common denominator of (4 - 8)*(2 + (-91)\/8) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14.5 = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.1844028 + -17448074.1844028. Let q = w + 17448070.08400053. Let h = 0.084 - q. What is h rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19430 - -57522. List the prime factors of s.\nAnswer: 2, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 730\/(-520) + (-6)\/(-39). Which is the third smallest value? (a) 2 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 2*g**2 - g. Let h be (-3)\/(-9) - (-2)\/3. Let z be o(h). Suppose 2 = z*b - 0. Solve -2 = -v - b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-6))\/((-3)\/9). Let c(h) = 193940*h - 193946*h - h**2 - 5 + 0*h**2. Let a be c(m). Solve -a*t = -6*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/595)\/(((-9)\/(-9))\/(-14))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 48597375 to the nearest 100000.\nAnswer: 48600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -25*m + 1. Let h(z) = 34*z - 14. Let n(s) = -2*h(s) - 3*w(s). Give n(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f - 1060 = 33*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/5 + 36*r + 672\/5 = 0 for r.\nAnswer: -56, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/(-5)*9\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-6)\/3 + 5. Suppose v = -2*f + 9 + 15. Suppose f = 3*z - 372. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 14 = -5*p + 5*j, p = j + 1. Suppose -3*z - 2*o + 9 = -o, 5*z - 32 = p*o. Is 4*((-2910)\/(-8) - z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.15?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -37*b**5\/20 + 29*b**4\/12 + 2*b - 32. What is the third derivative of t(g) wrt g?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22966 - -22981. Solve -122*n = -125*n - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(832))**2 - (-3 + (sqrt(13) - (-3*sqrt(143))\/sqrt(11))).\nAnswer: -4*sqrt(13) + 3333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9781132 is divided by 1045.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:44 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70100562 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8639, -8881, -9531, -10793, -12871?\n\"Answer: -34*o**3 - 4*o - 8601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(2\/11)*m)\/m*m*m**6)\/((m\/(m\/m**5)*m)\/m*m*m*m**(-1\/2)\/m))\/(m*m*(m\/(m*m**1)*m)\/m*m**(-7))**(1\/2) assuming m is positive.\nAnswer: m**(117\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 7, v: 3, h: 5}. Give prob of picking 1 i and 3 h.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -926, -1779, -2624, -3455, -4266?\n\"Answer: j**3 - 2*j**2 - 854*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -13*t - 46 + t + 144 - 53*t - 62*t**2 + 33*t**2. What is the first derivative of o(n) wrt n?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180085878?\nAnswer: 2, 3, 89, 577, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -16, -22, -30, -40, -52?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28853739 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**4\/24 - 13*k**2. Let u(w) = -7 + 18*w + 27 - 4 + 0. Let c(n) = -u(n) - 10*v(n). Differentiate c(m) wrt m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78918.825 rounded to the nearest ten?\nAnswer: 78920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-2)\/((-28)\/42)*-1 - (-49)\/13)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 99*k - 60. Calculate l(-30).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(-44))**41 assuming p is positive.\nAnswer: p**(3608\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 - 2*s**3 - 15*s**2\/2 + 4*s. Let t be b(-10). Solve 3*z - 1 = t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/8195 - -6478\/319605. Let j(n) be the second derivative of -h*n**6 + 1\/39*n**3 - 6*n + 3\/65*n**5 - 2\/39*n**4 + 0*n**2 + 1\/273*n**7 + 0. Factor j(c).\nAnswer: 2*c*(c - 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s - 9*s - 66*s)*(-2*s + 7*s + s) - 4*s**2 + s**2 + s**2.\nAnswer: -524*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/20 and 21\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -9. Sort h, 1\/4, 6\/5.\nAnswer: h, 1\/4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11462 = -9*s - 779. Round s to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 19*d**3 - 2*d**2 - 6*d - 9. Let s be y(7). Let i be (4\/(-12))\/((-2)\/30). Suppose 2*g + 3796 = q, -3112 - s = 5*g - i*q. Round g to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20774*v = -10425*v - 10436*v + 8004 for v.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**5 - 6*b - 3*b**5 + 5*b**5 + 15*b wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21194 is divided by 962.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 13. What is the remainder when (-3)\/12 + (-420)\/y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*k - 8*r, 0 = 5*k - r - 255 + 277 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/15 - 3)*9. Solve 3*w - 6 = -t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-18) - (-25)\/9. Let g(i) = 2*i**2 - 5*i + 3. What is the units digit of g(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/8 (c) -4 (d) -8\/7 (e) 2\/3 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 1. Let r(z) = -8 + 34*z**2 + 1 - 29*z**2. Determine -35*k(n) - 5*r(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 4214523797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -30 + ((-12444)\/(-442) - -2). Suppose -c*p**3 + 38\/13*p + 8\/13*p**2 + 28\/13 = 0. Calculate p.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 14. Let x = 41 + y. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/4 - 87375*q\/4 - 87381\/2 = 0.\nAnswer: -2, 29127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 2aa70c6?\nAnswer: -2aa70b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2094 (b) 1713 (c) 4\/5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 5:54 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 361 + -4?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**26*r)\/(r\/r**(-25)))**24)**(1\/5))**(-30) assuming r is positive.\nAnswer: r**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 5040?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g. Suppose -5*r = 4*q - 37, g*r + 5*q = -2*r + 25. Calculate the lowest common multiple of 4 and (6\/r)\/((-9)\/(-60)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110111 + -10100011?\nAnswer: -11010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*a - 88720 = 0, 13*o - 14*o + 5*a = -17736. Suppose -7*f + 25367 = -o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -197 - -200. Suppose h*q + 0*b + 3*b = -3, -3*q = -5*b - 29. Solve 5*j + q = -3*m - 0, 4*m - j + 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 7:33 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -13719124.\nAnswer: 13719123.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9264287mg to tonnes.\nAnswer: 0.0000000009264287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -424442 (base 5) in base 2?\nAnswer: -11100000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 6. Let s be f(5). Let j be -6*(-2)\/(-12)*3. Sort j, -2, s in decreasing order.\nAnswer: s, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + 1 + 14)*7*35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -2*v**6\/5 - 11*v**5\/10 - 4*v**2 - 2*v. Find the third derivative of g(o) wrt o.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*y + 0)*(y**3 - 5*y**3 - 6*y + 5*y**3).\nAnswer: -3*y**4 + 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35256*z**3 - 379*z - 35258*z**3 - 368*z + 747*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 11164 - 11161. Let a(u) be the first derivative of -9 + 2\/55*u**5 + 0*u**t + 0*u + 0*u**2 + 3\/22*u**4. Factor a(m).\nAnswer: 2*m**3*(m + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0)\/(4 - 1). Let o = 14048 - 14047.9. Which is the fourth smallest value? (a) -4 (b) o (c) 2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202978 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 905\/187 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102342 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 1312098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 39*v**2*z**3 - 8454547*v**2 - 313035*z**3 with respect to z.\nAnswer: 117*v**2*z**2 - 939105*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 14*u - 20118. Let d = u - 1698. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 5 + 3 = 18*c. Solve -3*z - 224 + 227 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 26. Let z be d(-26). Suppose z = -2*f + r + 379 - 6, 2*r = -2*f + 370. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4927 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111101101010101 (base 2) in base 11?\nAnswer: 146488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.84 - 18. What is d rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.026, -0.24216 in decreasing order.\nAnswer: -0.026, -0.24216, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooi when four letters picked without replacement from {i: 12, o: 3, p: 1}?\nAnswer: 33\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3158002\/20 - ((-1701)\/(-210) + -8). What is k rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(220)\/(-1*sqrt(4)) + sqrt(55))\/((sqrt(891)*-1 - sqrt(891)) + sqrt(891)))*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 23*x**2 - 65*x + 39. Let u be h(-25). Solve -399 = -3*c - u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:26 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 16 = -3*j. Let t = 3 - 3.3. Let f = -1.3 + 1.4. What is the nearest to j in 1\/5, t, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = -i + 29, -30 = -i - 2*h. Suppose -34 = -2*z - i. Let w = 12 + z. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1175 + -1137. Calculate the highest common factor of 46 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 9*u + 18. Let w be o(-5). Let k(s) = -25*s - 11. Calculate the remainder when k(w) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 32858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1325\/4 - -331. Let l = -188\/3 - -946\/15. What is the nearest to -1 in 0, r, -5, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9343*s - 149483. Let g be i(16). Let z = 0 + 3. Put 2, g, 10, z in ascending order.\nAnswer: 2, z, g, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 bigger than -557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 23 - 5*p + 5*p to the form k + h*p and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1123075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**4\/12 + 7*z**3\/3 + 7*z**2 + 6*z. Let i be u(15). What is the units digit of (-218)\/((i - -3) + -4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.3, 1\/5, -2, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k**3 - 879*k**2 + 219*k = 0 for k.\nAnswer: 0, 1\/4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -473208 or 1.14?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15988 (base 11) to base 13\nAnswer: a304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 8*d + 7. Determine f(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 484\/18 + (-23)\/(-207). Let c = g + -27. Solve -5*q - 10 = -r, c = -3*r + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 11\/3, -0.15, 10, -4, -1\/5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -10, -1\/2, -1, 10.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-191)\/1719*(-3)\/(-2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/1329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-5 - -11)*-6*18\/432)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 5. Let q(r) = r**3 + 6*r**2 - 10*r - 9. Let y be q(-7). Let d = y + -8. Calculate w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1991 - -5?\nAnswer: -198c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + -5. Let r = 15 + q. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 865535.4 millimeters?\nAnswer: 86553.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (5 + 1 + sqrt(1053))**2 + 5 - (2 + sqrt(1053) + -1)*4) + 1 + 5.\nAnswer: 81*sqrt(13) + 1096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*c**2 - 148*c**2 + 706*c**3 - 152*c**2 - 716*c**3 - 153*c**2.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81 - g + 30 + 9*g**3 + 37*g**3 - 8*g**3 wrt g?\nAnswer: 114*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from esxxxhaeseameeexexex?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28287 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e - -3c?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e4 + 90?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 - 138*r**4 + 71565*r**3 - 142704*r**2 + 71280*r = 0.\nAnswer: -180, 0, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132913517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:13 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -449 in descending order.\nAnswer: 2, -5, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 1. Let a(z) = 40. Let o(b) = a(b) + 3*r(b). Let n be o(-13). Calculate the highest common factor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 - 8*m**2 - 1\/6*m**4 + 0*m + 1\/30*m**5 + 0*m**3. Find the second derivative of v(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - 2*d**2)*(-207 + 70 + 69 + 69 - 257*d) + (2*d**3 - d**3 + d**3)*(-1 + 0 + 0).\nAnswer: 512*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2496 times 0.25?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -19. Does 11 divide (-580)\/(-30) - (-1)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 19, 15, 11?\n\"Answer: -4*h + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 6. Differentiate l - 4*u + 6*u + 28*u - u wrt u.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 44069, 88222, 132375?\n\"Answer: 44153*q - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by (((-168)\/(-49))\/3)\/((-4)\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 - g + 7. Let p(f) = 13*f**2 + 4*f - 26. Let h(w) = 9*b(w) + 2*p(w). Let u be h(-7). Does -30 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:29 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:46 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -15163, 0, 1 in descending order.\nAnswer: 77, 1, 0, -15163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1525735.\nAnswer: 5, 305147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 171, 170, 169, 168, 167?\n\"Answer: -y + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -134803 less than or equal to -134803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 332461872817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - -27) + (2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 5*f. Let k be w(-6). Suppose -2*j = -k*j + 4. Solve -c = -0 + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Suppose -g + 3*g - 12 = f. Let w(u) = -4*u**2 + 2*u - 4. Let n(r) = -r**2 - 1. Calculate g*n(i) - w(i).\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*k + 1 - 1 + 102*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 727*m*t**3 - 3*m*t**2 + m*t + 4*m - 41*t**4 + 33*t - 10 wrt t?\nAnswer: 4362*m - 984*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341055 by 1287.\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -112 - 30*l - 29*l + 63*l. Let t be g(28). Solve 4*b - 6 = -2*j, t = b - 5*j - 5 - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 63*a**2 + 105*a - 5. Let f(s) = 3*s**3 + 95*s**2 - 157*s + 8. Let c(d) = 5*f(d) + 8*t(d). What are the prime factors of c(-31)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = 22*o - 84 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3\/4 + 122735*y**2\/4 - 749312975*y\/4 - 47695102875\/4 = 0 for y.\nAnswer: -63, 12305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8221, 32898, 74027, 131608, 205641, 296126, 403063?\nAnswer: 526452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14079223*y**5 + 10*y**2 + 9*y - 20892 wrt y?\nAnswer: 844753380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2, m: 1, w: 3, y: 5}. What is prob of sequence ss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r*w**2 - r*w + 20*r + 4*w**2 + 2 wrt w?\nAnswer: 4*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -3)*(-5)\/15. Let u = 33 + -32.7. Let h be (-2)\/6 - 3\/(-9). Which is the nearest to -0.2? (a) d (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**9\/504 - u**8\/840 + u**7\/210 - u**3\/3 - u**2. Let m(w) be the first derivative of y(w). Factor m(x).\nAnswer: -2*x**3*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 20257316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*n + 284044 + 31781 = -472200. Is -2766 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -111667141\nAnswer: 7\/111667141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 + 139. What is the hundreds digit of 1\/x + 84677\/68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277197499, -277197498, -277197497?\nAnswer: -277197496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23, -47, -71, -95, -119?\n\"Answer: -24*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -533?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1832431 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 13. Let j be c(-10). Solve 4 = -5*k + 5*m - 1, 0 = 3*m + j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17719579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 1. Let i = 14438 - 28875\/2. What is the nearest to -0.5 in 0.3, i, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 5\/2 (c) 13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 5 - 1)*(-1 + 1 - 2)*(-15*t**3 - 103*t + 166*t - 113*t) to the form d + k*t**2 + j*t**3 + r*t and give r.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108 and 38156028?\nAnswer: 343404252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-4 + 2 + 0) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 16*x + 14. Let u be g(7). Solve u = 5*f + 20 - 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 7 + 4*f + 5*f. Let k(q) = 7*q + 6. Suppose y + 12 = -2*y, 0 = -3*u + 2*y + 26. Determine u*k(w) - 5*j(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -2\/225*r**5 + 0*r**3 - 1\/315*r**7 + 0 + 0*r + 0*r**4 - 1\/75*r**6 + 7*r**2. Factor z(y).\nAnswer: -2*y**2*(y + 2)*(5*y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**2. Let b = -72 - -70. Let d(h) = -4*h + 2. Let t(o) = -o + 1. Let r(x) = b*d(x) + 4*t(x). What is f(r(j))?\nAnswer: -176*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, v: 1, f: 5, s: 1, y: 2, h: 5}. Give prob of sequence ys.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -1 - 6) + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -11. Let c = 30 - f. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otut when four letters picked without replacement from uuuwypoupwttu?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 10. Give f(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -7, 2\/9, -10, 1\/7, 5\/18?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -313\/6 or 0.186?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -556 - -539.76. Let r = u + 16. Let i = -0.2399983 - r. What is i rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18*i + 1747. What is u(-93)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n + 53. Let u be h(4). Sort -3, -19, u in ascending order.\nAnswer: -19, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*((s*s\/(s\/((s\/(s*s**(-1\/4)*s*s)*s)\/s*s))*s*s)\/s*s)\/s)**12*(s**(-2\/5)*s*s)**(20\/3) assuming s is positive.\nAnswer: s**(149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (1 + -4)\/6*-186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3280256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:00 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - t + 6. Let h(p) = -124204 - p**2 + 3*p + 124203 - 4*p. What is -h(u) - k(u)?\nAnswer: -2*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a centimeter in millimeters?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 72*c - 2. Let k be x(5). Suppose -k = -4*i - 2*m, -5*i + 309 = m - 143. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37257, 37252, 37243, 37230, 37213, 37192, 37167?\nAnswer: 37138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 577, 578, 579, 580, 581, 582?\n\"Answer: n + 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10531057 (base 9) in base 5?\nAnswer: -2301124203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -773 (b) 0.2 (c) -44.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(6\/(-4)). Let h(o) = -o**3 + 17*o**2 + 21*o - 54. Let s be h(18). Let v(a) = -3*a**2 - 26. Let f be v(s). Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/(4 + (-57)\/15). Suppose 4 = 4*i - 4. Factor i*m + 0*m + 4*m**3 - 2 + 2*m**2 - 6*m**z.\nAnswer: -2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6\/600*10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/8 + 1089*u**3\/2 + 1581225*u**2\/8 - 1089*u\/2 - 395307\/2 = 0. Calculate u.\nAnswer: -726, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475*5.\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 + 0*l**2)*(4 + 1 + 1)*(2 - 4 + 1).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.1, -1, -170.586 in increasing order.\nAnswer: -170.586, -1, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20718316 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - (13 + -60)) + (-3 - -24).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 921*b**3 + 20*b**2 + 111018*b + 1.\nAnswer: 5526*b + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/10 + a**4\/2 + a**3\/2 + a**2\/2 + 263*a. Calculate l(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 20367222893979?\nAnswer: 20367222893975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578, -1164, -1750, -2336, -2922, -3508?\nAnswer: -4094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 20, 15*l = 10*l - 4*w - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = g - 13, -3*y - 3 + 16 = 5*g. Let m be (6 + (-200)\/28)*14\/y. Suppose m*x + 20 = -b + 561, 3*x - 408 = -3*b. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35938)\/(-2114))\/(2 - (0 + (-21)\/(-9))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a + 3. Let w = a - -1. Suppose -2*l + 5*l - 30 = w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(60\/1)*16\/(-12)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 708136, 1416288, 2124486, 2832754, 3541116, 4249596, 4958218?\n\"Answer: 4*l**3 - l**2 + 708127*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1 + 7\/35*-35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266715.99837 - 266702. Let v = b - 14. Round v to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -114*b**3 + 24*b**2 + 147*b - 13?\nAnswer: -684*b + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2423953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.607m to millimeters.\nAnswer: 982607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - 14 - 2) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3526282474 to the nearest integer?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000426652 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgl when three letters picked without replacement from {h: 1, d: 1, g: 3, w: 4, l: 4, j: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18567 and 22367.\nAnswer: -415288089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*r + 7, 2*o + 3*r = 4*o - 7. Let v(q) = q**2 + q - 1. Let a(n) = -3*n**2 - 5*n + 12. Calculate o*a(j) - 5*v(j).\nAnswer: -2*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from jddxhj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*h**2*z**3 + 2*h**2*z - h*z + 25273*h - 7*z**3 - 997*z**2 - 259 wrt z.\nAnswer: -258*h**2*z - 42*z - 1994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 - 2280*h**4 - 149*h**3 - 39259*h**2 - 9?\nAnswer: -60*h**2 - 54720*h - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in minutes?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -94, -98, -98, -94, -86?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 372 - 154 = -3*g, -2*j + 220 = -2*g. Suppose -a - a + 46 = -2*w, -j = -4*a - w. Let r = 23 + a. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -1 (c) -7\/745\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1095 by 15.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-12)\/14)\/((-18910)\/2730 - -7) and 80\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310710 rounded to the nearest one thousand?\nAnswer: -311000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -2. Let m(g) = 4*g**3 + g + 1. Let l be m(t). What are the prime factors of 12\/8 + (-38)\/l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 271298928 divided by -3\nAnswer: -90432976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -k + 24. Let i be 0 - ((-1)\/7 - (-5)\/k). Solve -w - w - 6 = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3*j - 3)*(-9*j**4 + 13*j**4 + 11*j**4).\nAnswer: -45*j**5 + 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 8*q - 609 - 581. What is the highest common factor of q and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5, h: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358067 = -74*a - 1360879 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**5\/6 - d**4\/24 - 12*d**2. Let s(z) = -z**3 + 3*z**2 + 24*z - 51. Let a be s(2). Calculate r(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 5*l**2 - 3*l - 13. Let y be v(-5). Determine q so that q**y - 1\/3 + 1\/3*q**3 - 1\/3*q - 2\/3*q**4 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let v be u(6). Suppose p - 1 = -9. Let x = p - -10. What is the greatest common divisor of v and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:49 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 29, 30, 27, 20, 9, -6?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + 3 - 8 - -1. Let d = s + 14. Let o(l) = -11*l + 1 + 2*l + 16*l - 2*l**2. What is o(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136455 rounded to the nearest one thousand?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 - f. Let a be m(-3). Let z be -4 + (-11)\/77*-119. What is the greatest common factor of z and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 45*s + 410. Let y be w(-33). Solve 11*m = y*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00269811 to 4 dps.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*r**2 - 34*r**2 + 73*r**2 + 253*r**2.\nAnswer: -343*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 2 - 0) + -111 + 109 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 14*j - 174. Let z be h(13). Suppose -z*s - 6 = -6*s. Sort 5, 16, s.\nAnswer: s, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + (4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(4*sqrt(468)*-2 - sqrt(468)) + -3 + (sqrt(468) - (-1 + sqrt(468)) - sqrt(468)) + -4)*-4)**2.\nAnswer: 33744*sqrt(13) + 10251433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4326225 - 5?\nAnswer: 4326220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -186 + 184. Sort -3, s, 9.\nAnswer: -3, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1018829457 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w + 0*w + 3*w - 22. Let t be u(19). Let p = t - -83. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.181 - -0.311. Round k to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.793 * 73.\nAnswer: 57.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7285*x - 594. Let d(s) = -7263*s + 595. Let y(a) = 3*b(a) + 4*d(a). What is the first derivative of y(q) wrt q?\nAnswer: -7197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 115404210.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419946 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 98, 224, 390, 590?\n\"Answer: -p**3 + 29*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378450)\/21750)\/(4\/(4 - -16))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - g**2 - 4*g. Let b(u) = u**3 - 2*u. Let r be (-201)\/(-39) - 50\/325. Determine r*b(w) - 3*k(w).\nAnswer: -w**3 + 3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*-2 - 1. Let t be 3*(24\/(-9))\/p. Let b(a) = -5*a - 2. Let i(w) = 4*w + 2. Let n(r) = t*b(r) + 3*i(r). What is the derivative of n(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 - 5. Let o be p(3). Let f(w) = w**3 + 7*w**2 + 8*w + 6. Give f(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -604, 8, 2, 0, 1, -1 in increasing order.\nAnswer: -604, -1, 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 52)\/(-2) + -1. Let s(l) = -16*l**2 - 2*l. Let y be s(-10). Let n be y\/(-6) - (-2)\/3. What is the highest common factor of k and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 + -235. Suppose 17 = 5*r + f, 3*r = r + f + 11. Suppose 0 = -r*i + 4*z - 20, -4*i + 3*z + 13 = 32. What is the nearest to v in i, -0.5, 4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -741 (b) -10\/43 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 7, r: 6, k: 3}. What is prob of picking 1 v and 1 r?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 2*q**2 - 25*q + 9. What is s(8)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqv when three letters picked without replacement from {s: 2, x: 1, q: 2, v: 3, t: 3, k: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8 + 41 - 49 - 712*o. Let i(g) = -2*g**2. What is v(i(s))?\nAnswer: 1424*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/6*-9)\/(-2). Let q(u) = 32*u**2 + u + 2. Is q(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2951, -2957, -2969, -2987, -3011, -3041, -3077?\n\"Answer: -3*g**2 + 3*g - 2951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-36)\/(-8))*-10. Suppose -s + 4*o - 3*o = -w, -4*s - o + 20 = 0. Solve -s*y + 2*n - 4 = 0, -4*y + 2*n = 1 + 1 for y.\nAnswer: -2","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: 2, q: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 17670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/(-4*22\/(-4)) and (6\/(-2))\/(37 - 3).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v = -146 + 50 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1157, -2363, -3637, -4985, -6413, -7927, -9533?\n\"Answer: -f**3 - 28*f**2 - 1115*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338.52776 - -0.65776. Let o = x - -336. Let u = 0.13 - o. What is the third biggest value in 0.4, u, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 167961894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26+-95.538356\nAnswer: -69.538356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 1 + 1)*(-4*a + 3*a + 3*a) + 0*a - a - a + 0*a - 2*a + a)*(2 + 1 + 2)*(1 + 2 + 0) to g + z*a and give z.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 9 - 7)*(-1084 - 116*w + 1084) + (w - 2*w + 3*w)*(-2 - 1 + 1)*(0 - 2 + 0).\nAnswer: 472*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4309 (base 11) to base 9.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*p - 211*p - 2484. Which is smaller: p or -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 16*j - 20*j + 12025, w - 3995 = 2*j. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/4 - 1) + -2. Let m be -10 + (-240)\/(-25) + (-2)\/(-30). Let q = 21\/4 + -5. Which is the biggest value? (a) w (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31009892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.022*-88271\nAnswer: 1941.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -229 + 230.406. Let q = 0.072 - g. Round q to 2 dps.\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2039, -2074, -2125, -2186, -2251, -2314?\n\"Answer: q**3 - 14*q**2 - 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0143 in -10, 0, -116, -0.3, 106, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 37*x = -40*x - 25, 0 = 2*t + 4*x + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 376, 821, 1444?\nAnswer: 2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215549447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 5515163801513801*q**2 - 5515163801513801*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80940059.\nAnswer: 23, 733, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 + -158 + 5454\/(-195)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b + 17. Let u be j(18). Let d = -82 + u. List the prime factors of d.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 0, 14*y - 18*y + 1010 = -2*a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 2751 = 68*w - 52 + 843 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10455*z - 10453*z - 5*a, 7*z - 2*a + 388 = -162*z - 23*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456 + -455.7. What is the fourth biggest value in 4, 6, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -727 - 2525 + y**3 - y**2 - 1716 + 231 as n*y**3 + q*y**2 + r + w*y and give r.\nAnswer: -4737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1705062 to the nearest 10000.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 50*i - 8*i in the form x*i + b and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + ((sqrt(1575) - (5*(sqrt(1575) + 2*sqrt(1575)) + sqrt(1575) - sqrt(1575)))*-6 - (sqrt(1575) + sqrt(1575)*2*-6 + sqrt(1575) + 3))))**2.\nAnswer: -67680*sqrt(7) + 55666944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + sqrt(931) - 5*2*sqrt(931))**2.\nAnswer: 378*sqrt(19) + 75420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167 + -118. Let f be 6\/(-4)*222\/9. Let o = -12 - f. What is the remainder when u is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(14\/28)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 870167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 14820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i - 18. Let w(j) = -11*j + 2. Let g be w(1). Let z be b(g). Put -7, z, 4 in descending order.\nAnswer: 4, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 771835*y**4 - 852160*y**2 wrt y?\nAnswer: 18524040*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*r - 196 = 654*r - 327*r for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -1\/7 (c) -4 (d) 8.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than 96682501?\nAnswer: 96682501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.046593 and 4.5?\nAnswer: 3.453407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-5))\/(2628\/(-440) + 6). Let s = -38 - 6. Let m = j + s. Solve -4*u = -m*u - 16, -4*u + 26 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47173 (base 8) in base 10?\nAnswer: 20091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -8. Let n = -11300 - -11318. Calculate the remainder when q is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 998, 2685, 5976, 11405, 19506, 30813?\nAnswer: 45860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 - (-1 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 20*s**2 + 25*s - 136. Determine b(19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 3211*n - 6407*n - n**2 - 1632*n**3 + 3194*n to r*n**2 + i*n**3 + b + g*n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1474 - -1572. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30845 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 17, -0.4, 9100, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14283*x**4\/8 - 228535038*x**3 + 26496825*x**2\/2 - 192006*x = 0 for x.\nAnswer: -128004, 0, 2\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2. Let h(w) = -17*w**2 - 9. Let s(l) = -4*l**2 - 2. Let y(o) = -2*h(o) + 9*s(o). What is y(p(m))?\nAnswer: -162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 127695\nAnswer: -1\/25539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 491344*v - 15088682896.\nAnswer: -4*(v - 61418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15376, 122899, 414752, 983101, 1920112?\nAnswer: 3317951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/29 in -3, 8, 736, -1\/6, 463, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 8. Let o = 9 - 5. Suppose -q + o*q = 0. Which is the second smallest value? (a) g (b) 1\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2837 minus -3.3?\nAnswer: -2833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5868 + 3719. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 2. Let f(d) = -d + 1. Let b(h) = 5*f(h) + 2*p(h). What is b(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 3 + 5)*(-3*c**2 + c**2 + 3 + 3*c**2).\nAnswer: 56*c**2 + 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q - 5. Suppose 0 = 4*b - q - 27. Solve 5*t - 17 = -b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = -2*t, 0 = -3*a + 4*t - 1 - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 - -2.11. What is the smallest value in 3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672\/(-8) - (-345618)\/4095?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238765551.\nAnswer: 3, 37, 89, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -162, -304, -446, -588, -730, -872?\n\"Answer: -142*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 217, 330, 445, 562, 681?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1042412.\nAnswer: 2, 7, 59, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:08 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16 - 8. Suppose t*n - 3*n = -4*n. Suppose 0 + 2\/3*y**3 + 1\/3*y**4 + n*y**2 + 0*y = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -4 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let u be h(1). Let n be (u + 20\/(-4))\/14. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.58 - 0.98. Let l = -264 - -267.34. Let v = -0.34 + l. Which is the nearest to v? (a) u (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-4)\/((-12)\/15). Suppose -5*w = 2*k - 198 - 178, 3*k = -v*w + 222. Does 26 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*x = -294 - 1301, 325 = p + 3*x. List the prime factors of p.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 6:30 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/6)*d*d\/d**6)\/(d**(2\/19)*d\/(d*d**(1\/13))) assuming d is positive.\nAnswer: d**(-4241\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - -48.1. Let i = 47.9 - x. Round i to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-14)\/(-21)*216\/32.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7896 divided by 14?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 19 + n + 12 - 16.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2 = 3*a, 5*a - 2*n + 0*n = -4. Suppose -3*z + 12 = a, 4*z - 46 = -j + z. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 2*o - 17*o - 37*o - 15*o + 83*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11351171 (base 8) to base 10\nAnswer: 2478713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u. Suppose -j = -2*j - 11. Let h(r) = -2*r**2 + 11*r - 11. Let f(w) = -w**2 + 6*w - 6. Let t(p) = j*f(p) + 6*h(p). Give y(t(m)).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.304 and 0.4.\nAnswer: 0.1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134141*a + 1232 = -134141*a + 2*m - 46*m, a - 137 = 5*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23481406 divided by -151?\nAnswer: -155506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 295549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 260*((-48)\/(-120))\/(112\/(-140))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {j: 5, l: 2, c: 7}.\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -18, 18, 90, 204, 366, 582, 858?\nAnswer: 1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531 = -3*w + s + 1504, 0 = 4*s - 8. Let u = -202 + w. Suppose u = -z + 4*z. List the prime factors of z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10 and -25\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352226, 352222, 352218, 352214, 352210, 352206?\nAnswer: 352202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -581a4 (base 12) to base 13\nAnswer: -417b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-168))\/(-150*8\/(-768)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/2 + s**3\/2 - 3*s**2\/2 - 174*s - 28. Let r(i) be the first derivative of n(i). What is r(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059169 rounded to five decimal places?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -37011\/4 (b) -2 (c) -2\/5 (d) 1\/3 (e) -1 (f) -5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152471195 smaller than 152471197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 901521 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36403702543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105300*q + 120904 = 107459*q for q.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5771200 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -533 + 687. Calculate the remainder when t is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**3\/3 + 9*g**2\/2 + 12*g - 66. Let t be y(-8). Solve d = 2*d - 4*i + t, 0 = 2*d - 5*i + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 2*b**5 + b**5 + (b**3 + 5*b**3 - 4*b**3)*(3*b**2 - 5*b**2 + b**2) + 6*b**5 + b**5 + 0*b**5 + 16*b**2 + b**3 + b**5 - 25*b**2 + 8*b**2.\nAnswer: 3*b**5 + b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**4 + 229*k**3 - 63*k**3 - k**2 + k**4 + 2*k + 219*k**3 - k**4 to the form c*k**4 + d*k + x + o*k**3 + v*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let q(p) = -p + 100376. Give u(q(h)).\nAnswer: -2*h + 200752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/((-1)\/330). Suppose i = -6*y + 10*y. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 9, a: 8}. What is prob of picking 1 z and 1 a?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 187 and 99?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*h = 17*m - 126*h + 259*h - 114, 2*m = 3*h + 69 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01191 + -0.38809. Let n be ((-2)\/(-18))\/((-2)\/(-6)). Which is the closest to n? (a) 2\/7 (b) 2\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 130 = 4*s. Let c be s\/(-9) + 24\/(-108). Suppose 5*v = c*v - 126. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -862836\/31 > -27834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 7\/6*z**3 + 1\/12*z**4 + z**2 + 0*z + 0. List the prime factors of a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3343 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q - 210 = -2*o - 48*q, 315 = 3*o - q. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:35 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27676 divided by -1258\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223430 + 1021?\nAnswer: -222404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/35, -1\/4, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -d - 10, -14*d = 4*j - 18*d + 20. Let s(h) = h**3 - 3*h**2 - 41*h - 1. Let t be s(j). Solve 4*v - 4*i = -32, -i = -t*v + i - 24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/4 (c) -2\/13 (d) -1 (e) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 + 26970\/(-2500) + 8 + -3 and -51\/250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (168\/16)\/((-6)\/(-8)). Factor y - 8 - o**2 - 2*o**2 + 3*o.\nAnswer: -3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -210 - 5 - (-2)\/2. Suppose -a + u = -29. What is the remainder when a is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.6237 millennia to centuries.\nAnswer: 7926.237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 + -103. List the prime factors of n.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - -1*2) + (-73 - -89).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*o + 15, -4*c + 0*o + 8 = o. Let y be (4 - 3)*(4 - c). Find the third derivative of y*j**2 - j**3 - j + j wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by -14*((-8 - -16) + -16).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 40. Suppose -2*q - 2*m = -164, -5*q - 6*m + 409 = -2*m. Calculate the greatest common divisor of q and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 3. Let t(j) = 2*j**2 + 12*j. Let r(k) = k**2 + 5*k. Let u(y) = -12*r(y) + 5*t(y). Calculate u(v(w)).\nAnswer: -32*w**2 + 48*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - w**2 - 13*w + 250. Let t(f) = f**3 + 3*f - 63. Determine -2*r(v) - 9*t(v).\nAnswer: -3*v**3 + 2*v**2 - v + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/15*(-18)\/4. Suppose -5*o + 1 - q = d, 4*o + 3*d = 5. List the prime factors of ((-3)\/o)\/(6\/98).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -34. What is the highest common divisor of 418 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 - 1 + 4*z**3 + 6*z + z**3 - 2*z to k*z + t + d*z**2 + m*z**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/60 - 5*g**4\/24 + 53*g**3\/6 + 5*g**2 + 3. Let a be y(-10). Solve -4*p - a*z + 2 = p, 2*p - z = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 10*u + 14. Let w be n(7). Let b = w - -9. Suppose 12 = 2*m + m. Solve m*r = 2*r - b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-5 - 8) - (4 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - d = -18. Which is the closest to 0? (a) -2\/13 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50 + (-2 - -1)*2. Let f(p) = -3*p + 3 + 2*p + 3 + 6. Let v be f(6). What is the highest common divisor of o and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 61. Let k be (10 + v)*(-4 - (-66)\/15). Suppose -c - k = -2*u, 3*u - 2 = 2*u + 5*c. What is the smallest value in u, 1, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.086 and -5.844?\nAnswer: -0.502584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.126 * -3572.\nAnswer: -450.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -42. Let w be (((-14)\/m)\/(-1))\/((-27)\/(-81)). Suppose 0 = -4*s + 26 + 58. What is the greatest common factor of w and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25895?\nAnswer: 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/18)\/((-4)\/18). Suppose -n + 20 = -0*n + 3*c, b*n - 2*c - 104 = 0. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -714.37 - -709. Let d = -0.37 - r. Sort 0.4, 2, d.\nAnswer: 0.4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.6, 2, -2, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -360b7 + -1325?\nAnswer: -3740c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*19\/4)\/((-6)\/12). Solve -3*z + 7 = -4*m, 2*m = -23*z + y*z - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 7*k - 5*k. Let x = 171 - k. Let z = 539 - x. List the prime factors of z.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/(1\/21). Suppose -2*d = -l + 1. Suppose -f - 5*h + 15 = 0, -6*f = -f + 4*h + 9. What is the second smallest value in d, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344 - 216 + 2*a**3 + 560.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1976 = -4*t + 3*t + 2*v, 5918 = -3*t + 4*v. What is the tens digit of (-12 - t)*2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 92\/(-12) - (3 + (726\/18)\/(-11)). Suppose -7*f + 4*f + 12 = 0. Let b be f\/18 + (-4)\/(-9). Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/80 + w**4\/12 + 26*w. Factor d(u).\nAnswer: -u**2*(u - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Find the third derivative of -3*j**6 + 2*j**p + 4*j**6 + 0*j**6 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 288826 and 1.313?\nAnswer: 379228.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10123570 (base 10) in base 9?\nAnswer: 21038831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -155, -255, -437, -725, -1143?\nAnswer: -1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3606 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -701?\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5\/3 + 656*q**4\/3 + 5788*q**3 - 42104*q**2\/3 - 133696*q\/3 - 24960 = 0.\nAnswer: -130, -36, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*h - 6 = 4, -3*n - 4*h = -14. Let x be (8\/(-3) - 16\/(-24))\/(-1). Let t = 40 + -24. Solve -n*z - t = -x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -911920 divided by -56\nAnswer: 113990\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q - 41. Let l(f) = f + 14. Let a = 34 + -31. Let o(z) = a*x(z) + 8*l(z). Determine o(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11390 or 11397?\nAnswer: 11397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286 + 6*y + 286 - 6*y + 532*y**2 to the form u*y**2 + v*y + o and give u.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 8:16 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:57 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, u: 1, d: 1, o: 2, e: 1}. Give prob of picking 1 u, 1 e, and 1 o.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:25 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 4)*(0 + 6 - 2) + 1 - 3 + 3 + 5 - 5 - 1)*(-3*g**4 - g**4 - g**4) to o + l*g**4 + x*g**2 + j*g**3 + h*g and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2229 divided by -48950\nAnswer: -2229\/48950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3140199538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + p + 2. Let n be y(-1). What is the highest common divisor of 15 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*x - 76*x + 190*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (470 + 43 - 135)*(-2 + 2 + 2*s)*(s - 5*s - 7*s) to p*s**2 + f*s + n and give p.\nAnswer: -8316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 92564.76 kilograms in milligrams?\nAnswer: 92564760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56.9 + -59. Let p = i + 2. Suppose 6*y - y = 20. Which is the second smallest value? (a) y (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from {q: 3, h: 1, t: 4, y: 1, a: 5, o: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 7:54 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -16, 1, -1\/4 in decreasing order.\nAnswer: 1, 0, -1\/4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27.955 and 3.\nAnswer: -83.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -20, 2, 0, 1 in decreasing order.\nAnswer: 2, 1, 0, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*m + 23, -3*m + m = 5*h - 23. What is the second derivative of 0*z + h*z + z**4 + 0*z**4 - z wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1*(-2*(2*sqrt(243) + sqrt(243)) + sqrt(243) + sqrt(243) + sqrt(243)))**2)*3.\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.69631 rounded to one dp?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322830677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g\/g**(-7)*g)*((g**2*g)\/g)\/(g**(-2\/31)\/g))\/((g**(-1))**(2\/11)\/(g**(2\/7)\/g)**(-42)) assuming g is positive.\nAnswer: g**(10314\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/10 and 61\/10050.\nAnswer: 10050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) 0.3 (c) 7.89 (d) 1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -3615394\nAnswer: 289231.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a + 1. Let s be g(6). What is the third derivative of s + p**3 - 19 - 2*p**2 wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 1)\/(-8 - -7). Let h(n) be the first derivative of n**3\/3 - n**2 + n - 1. Determine h(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19455 or 0.037?\nAnswer: -19455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 100 - 24 = 0. Let k be (g\/(-57))\/(2\/(-24)). List the prime factors of 8*(3 - 10\/k).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -572.247 - -572. Let w = j + 0.247. Is -104 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxpppvpinxxiyxpn. What is prob of picking 1 y, 2 x, and 1 v?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804*f + 304 = -785*f. Let i be (-2)\/f*-54*104\/195. Factor 3\/5*u**3 + 27\/5*u + i*u**2 + 0.\nAnswer: 3*u*(u + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -3325, -7538, -13433, -21010, -30269, -41210?\nAnswer: -53833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 times 0.608437?\nAnswer: -76.054625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2)\/4*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4 + (0 - 2 + 3)*(-2 + 0 + 0) - 1 - 3 + 3)*(-9*s - 4*s - 3*s).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:37 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-3)\/(3 + -4). Let u = 5 - 3. Solve a = -u*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41a5 - 9?\nAnswer: -41b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(2\/24*6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/4 - r**3\/2 + 5*r**2\/2 - 13*r. Let j(q) = -6*q**3 + 4*q - 6. What is 4*j(m) + 5*w(m)?\nAnswer: m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/14148634 and 19\/14.\nAnswer: 99040438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 4987\nAnswer: -299.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 16*i - 1 = 13*i - 3, -66 = -7*m - 5*i for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/14))**(15\/7)*k**(3\/2)\/(k*k*k\/(k\/k**15)) assuming k is positive.\nAnswer: k**(-752\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1911, 1901, 1891, 1881?\n\"Answer: -10*l + 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, r: 1, d: 11}. Give prob of picking 3 k.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {e: 1, b: 1, u: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 4. Let o be g(4). Suppose 4*z - z - 282 = o. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*42\/48*2. Let x be 11 + (45\/(-21) - g\/(-49)). Solve -5*q + 3*b = -2, 4*q - x = -q - 4*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3367, -3763, -4423, -5347, -6535, -7987, -9703?\nAnswer: -11683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q + 145 = 17*q + 5*n, 4*q = 5*n - 46 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-5)))**(-13\/3)\/(x**(2\/7))**25 assuming x is positive.\nAnswer: x**(-605\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 25\/6*r**3 + 19*r + 0*r**2 + 0 + 1\/900*r**6 + 1\/75*r**5 + 1\/15*r**4. Let z(b) be the second derivative of n(b). Factor z(u).\nAnswer: 2*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 616866, 1233729, 1850592?\n\"Answer: 616863*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1. Let j(h) = -27*h + 108. Give -j(z) - 108*y(z).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-70)\/(-49) - (-6)\/(-14). Let x(v) = -9*v. What is x(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6496 is divided by 3203.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2 + 610*k + 18605 = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*y - 83*y - 84*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)*f**(-2)\/f)**(-1\/2) assuming f is positive.\nAnswer: f**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -8 + (5 + -8 + 8 - -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 629347 and 761?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.44687ml in litres?\nAnswer: 0.06844687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1438*d + 718*d + 722*d + 30)*(-4 + 1 - 2)*(-4 + 3 + 3 + 2 - 3 + 2 + (2 - 3 + 3)*(3 + 2 - 3)).\nAnswer: -70*d - 1050","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 1399 = -11*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157011 or 157013?\nAnswer: 157013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54073, 41796, 21335, -7310, -44139, -89152, -142349?\nAnswer: -203730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(84)*2)\/((sqrt(7) - -1*sqrt(63)) + sqrt(7) - (sqrt(70) - (-1*sqrt(70) + sqrt(70)))\/sqrt(10)) + -5)**2.\nAnswer: -240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/60 + 5*k**4\/24 - 9*k**2\/2 - 19*k. Let z(g) be the first derivative of v(g). What is z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5091160\/(-51))\/(2\/(4*750)). What is p rounded to the nearest 1000000?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -992 - -4623. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 4435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -172f - -45e?\nAnswer: -12d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821125897?\nAnswer: 821125897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 162*v**5 + 408050*v**4 + 344062180*v**3 + 98329701360*v**2 + 1024176176320*v - 179957333248 = 0.\nAnswer: -836, -11, 14\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1175*s**2 + 1175*s**2 + 13*s**3 + 26*s**3.\nAnswer: 39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 862 + -833. Suppose 4*u - 580 = -0*u. Calculate the greatest common divisor of l and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7033 divided by 12\nAnswer: 7033\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -45.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4682259.\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26685)\/26685*-6*1*3\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 10:30 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {b: 4, k: 1, a: 6, j: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 0*p + 15. List the prime factors of 289\/68*252\/p.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 11 - 41. Calculate the remainder when 40\/(-6)*l\/4 is divided by (-6)\/15*10*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*n**4 - 5718*n**3 + 263667*n**2 - 2532378*n - 2801736 = 0.\nAnswer: -252, -1, 17, 218\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 50.035. Let o = 0.049 - n. Let u = o - -0.386. What is the closest to -1\/2 in -2\/9, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -532617?\nAnswer: 532624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -626, -2, 3, -26 in ascending order.\nAnswer: -626, -26, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7\/65 + 4\/13. Let q be (2 - 3)*2\/11. Let w be 12\/(-5)*((-54)\/(-4) + -11). Which is the nearest to w? (a) q (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2396 divided by -41392\nAnswer: -599\/10348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1457 + -13.1457. Which is the third biggest value? (a) w (b) 0.3 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4230 = -v + 7*y, 2*v - 5*y = 8439. What is the lowest common multiple of 8 and v?\nAnswer: 16808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18638, -149471, -504578, -1196093, -2336150, -4036883?\n\"Answer: -18689*x**3 - 3*x**2 - x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002518 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a - 56. Let g be (a\/(-5))\/((-4)\/1700). What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183 - 37 + 139 - 234)*(-1 + 1 + 3*c**2) as y*c + v*c**2 + z and give v.\nAnswer: -945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 32*t - 42. Does 7 divide j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 207444*h - 389659.\nAnswer: 207444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b061 - -19?\nAnswer: 2b07a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j - 201. Give u(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63174.1l?\nAnswer: 63174100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -22*a + 817. Let h(t) = -7*t + 301. Give 4*b(q) - 11*h(q).\nAnswer: -11*q - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1557, 5279, 9001, 12723?\nAnswer: 16445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 57*x. Let r(t) = -t**2 - 356*t - 90. What is r(n(l))?\nAnswer: -3249*l**2 - 20292*l - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 2*k - 3. Let h be t(-5). Let s = -2063\/120 - -136\/15. Find the common denominator of (-30)\/36*h\/(-10) and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 + -529213429810.\nAnswer: -529213429810.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-11 + (-1 - -19) + (-1 - 17))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 497 - 234. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1033*d - 4162. Determine h(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 573 divide 8856288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 132 = 178. Calculate the least common multiple of r and 135.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 43*i + 734. Let b be a(-38). Calculate the highest common divisor of b and 1768.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16612076*p**6 + 3*p**5 - 28680*p**2 + 5965.\nAnswer: -1993449120*p**3 + 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 42 = 6*a. Let t be a\/(-4)*(-7)\/(28\/(-8)). Which is smaller: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 41384636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h + 11. Let l(r) = 7*r + 6. Let m(u) = -9*l(u) + 4*y(u). Determine m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**5 - 607*f**4 + 3*f**2 - 113*f wrt f?\nAnswer: 60*f**2 - 14568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -284 (base 10) to base 16\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 16)*(-6)\/1. Suppose 0 = 3*n + k*b - 11*b - 62, -5*n - 5*b = -120. Solve 0 = 3*l + 4*j - n, 10 = 2*l + 2*j - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 680784 and 2496?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.5, 1, 0.2, 0.3 in descending order.\nAnswer: 1, 0.3, 0.2, -0.5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g*((g*g*g**(-3\/2)*g)\/g)\/g)*g**(2\/3)\/g)**16 assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 19*f - 16. Let o be 1 - 1\/((-1)\/5). Let n be ((-16)\/3)\/(o\/18). What is the units digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, y: 9}. Give prob of picking 3 y.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -274 - -269. What is the fourth biggest value in 2\/17, -3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.9 (c) -966 (d) -0.5 (e) -0.3 (f) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9477*d + 7584*d + 627375 = -12814*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29ece - -5?\nAnswer: 29ed3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 267 (b) 1\/4 (c) 5\/2 (d) 2 (e) -2\/17 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*n - 4 = 0, -5*y - 2*n + 19246 = 0. Does 70 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y**3 - 43*y - 11. Let f be g(-7). Let l = f + 8069. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 1959 + 642 = 0. Suppose -11*y = -206 - t. Solve -3 = y*d - 46*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 419 - 391. Suppose -3*y + 12 = 0, -3*k + 5*y = y - 2. Solve -k*b - b + s = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let p = -4 - m. Let a(d) be the first derivative of -5*d**3\/3 + 4*d**2 - d + 13. Let o(c) = c**2 - c. Determine p*o(f) - a(f).\nAnswer: -f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218 + 214. Let i(s) = 9*s**2 - 18*s - 6. What are the prime factors of i(u)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 510, 506, 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -q + 2*q. Let k(b) = 2*b + 29. Let w be k(q). Sort -3, 1, w in decreasing order.\nAnswer: w, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + -5 - 0\/(-1). Suppose -15*n = -y*n. Factor 0*o - 2\/9*o**2 - 4\/9*o**3 - 2\/9*o**4 + n.\nAnswer: -2*o**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*x - 7, -x + 0*x - 6 = -4*u. Let j be u\/5*-2*210\/24. Is -3 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/23)\/w)*w)**12 assuming w is positive.\nAnswer: w**(816\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 34*m**3 + 4*m**2 + 109*m - 112. Give u(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**3 - 2*f**2 + 19*f. Let y(q) = -13*q**3 - 53*q**2 - 37*q. Let v(m) = 19*m**2. Let r(t) = 3*v(t) + y(t). Determine -9*k(p) - 4*r(p).\nAnswer: -2*p**3 + 2*p**2 - 23*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 41584151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 1:55 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 2*u - 660 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1872224.23999966 + 1872224.5. Let l = -0.26 + q. What is l rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13208 - -62.\nAnswer: -13146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c - 2c2?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102 (base 6) in base 9?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/(-8))\/7*0. Suppose -11437591 = 5*m + 2*q - 2437593, b = 4*q - 4. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 48. Which is smaller: z or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 5, 0.4, -3 in descending order.\nAnswer: 34, 5, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 110244.\nAnswer: -29\/55122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o)*(0 + 2 - 3)*(-22*o**2 + o**2 - 5*o**2).\nAnswer: -26*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 32*p**5 - 7664*p**4 + 672194*p**3 - 25544112*p**2 + 355484448*p = 0.\nAnswer: 0, 44, 303\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 2*w**2 + 3*w. Suppose -p - 2*n = -6, 3*n + 0*n + 2 = 4*p. Suppose -p*c = -0*c - 6. Let j be m(c). Solve -2*u = 2*o, o = -j*o - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 40172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218740 rounded to the nearest 10000?\nAnswer: 1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277305, -277303, -277301, -277299, -277297?\nAnswer: -277295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let l(s) = -28*s. Let o be l(d). Let g(x) = 6*x - 4. Let b be g(3). Calculate the greatest common divisor of o and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132383*x - 195 = -132398*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 + 3.25. What is the closest to a in 3\/4, 0, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 1236*q. Let j(p) = -539*p. Determine j(u(f)).\nAnswer: 539*f**2 + 666204*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1452.4 + -1452. What is the fourth smallest value in u, 1\/47, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49275155?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/21)\/(t**(-5)\/t)*(t**(4\/3))**(-11\/4) assuming t is positive.\nAnswer: t**(47\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -17*h - 1. What is k(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 44*m**2 - 358604*m + 32600 = 0.\nAnswer: 1\/11, 8150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**6\/360 + g**5\/120 + 2*g**3\/3 + 1. Let n(k) be the third derivative of q(k). Find the second derivative of n(b) wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, f: 5, y: 1, u: 4, n: 1}. What is prob of sequence fnui?\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 36 = -452*y + 456*y, 0*y = -40*t - 5*y + 130 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*0.0348\nAnswer: 0.02088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 5. Let u(j) = -4*j + 6. Let c(x) = -7*x + 12. Let a(h) = 3*c(h) - 5*u(h). Let t be 3\/(-2)*(-12 - -16). Calculate t*b(l) - 5*a(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + (sqrt(209)*4 - sqrt(209)))*1)\/(sqrt(11) - (sqrt(176) + 3*sqrt(176)))*2.\nAnswer: -8*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -459294*m**2 + 2. Let j(p) = 16*p. What is j(d(l))?\nAnswer: -7348704*l**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41075000 and 4600400.\nAnswer: 575050000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3))**21\/((a\/a**(-7))\/(a*a\/(a\/a**(-1\/6)*a))))**(-42) assuming a is positive.\nAnswer: a**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1082*u**2 - 712. Let m(i) = i. Calculate m(j(b)).\nAnswer: -1082*b**2 - 712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 12, 0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {a: 1, c: 1, u: 1, t: 6}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -427 (base 11) to base 14.\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012904277 to 6 decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(225))**2 + sqrt(56)\/(2*sqrt(8)).\nAnswer: 7\/25 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637)*-3 + 4 + sqrt(91)\/sqrt(7).\nAnswer: -20*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176 - -96. Let d be 7137\/(-30) + 4\/(-40). Does 19 divide d\/(-4) + -1 - (-120)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:26 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, -6.44, 1\/9 in descending order.\nAnswer: 6\/11, 1\/9, -6.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98940 or -1187287\/12?\nAnswer: -98940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13483.4 + -13484. What is the fourth biggest value in t, 0.3, 2, 1, -122?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:15 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 1:22 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 630*d**3*f**3 - 2*d**3 - 27*f**4 + 75021*f**2 wrt f?\nAnswer: 3780*d**3 - 648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -17\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 78*h**2 - 15*h + 36. Let u be s(6). Suppose 5*r = -4*r + u. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-139*n**4 + 80*n**4 - 120*n**4) as q*n**3 + k*n**2 + g*n**4 + b*n + y and give g.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 4. Let u = -5 - 0. Let l = u - h. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 120680 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**2 - 56*f + 5. Let i(u) = -2*u**2 - 27*u + 3. Calculate -4*d(a) + 7*i(a).\nAnswer: -2*a**2 + 35*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3 + 11*p**2 + 51*p. Let i be h(3). Let q(a) = -a**3 + 5*a**2 - 3*a - 4. Determine q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4 + 27420*d**3 + 47438876*d**2 + 1526859108*d - 15265016352 = 0.\nAnswer: -3411, -41, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -748 - -744. Is (886*-1)\/(6\/132*a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 + 5*l**2 + l**2 + (-3*l - 3*l + 5*l)*(-l + 3 - 3) + 13*l**2 - 9*l**2 + 30*l**2 + (0 + 0 - 2*l)*(-7*l - 7*l + 9*l).\nAnswer: 47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Suppose -a*f = -7*f + 12. Suppose i + 4*i = -y + 28, 2*i - 1 = 3*y. Solve -u = -l + 3*l - y, f*l + 4*u = -4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 105*r + 420. Calculate g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 - 4*v - 8. Let w = -40 + 37. Is l(w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4515749059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 823011 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j, 3*o - 2*j = -3*j - 23. Let h(b) = b**2 + 7*b + 4. What is the remainder when 22 is divided by h(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 12*v + 4. Let a(p) = -1. Let o(b) = -2*a(b) + y(b). Let w be o(12). Is (-3582)\/(-15) + w\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5 - 2*g - 3 - 1 + 3*g**2 - g. Let p be z(2). What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -2, 1, 6, 13, 22?\n\"Answer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.77885 weeks?\nAnswer: 298.8468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/48*3 - (-5)\/(-1). Solve p = -4*b - n + 14, n = 4*b + 6*n - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 6. Suppose -6 = -c*i + 10. Calculate the greatest common divisor of i and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28134?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w*(w\/((w\/(w\/(w\/w**(-27))))\/w*w))\/w*w)\/w))**(4\/11)*(w**(-7)*w)\/((w**(-21\/5)*w)\/w) assuming w is positive.\nAnswer: w**(441\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/((-1)\/2). Let i be 1\/((-4)\/(-3) + (-24)\/16). Let k be (n\/3)\/(i\/72). Solve -3*x - 8 = k*r, -3*r = 4*x - 3 + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*x + 2*x. Let u be (0 + 0 + 1)*x. Suppose -z - u*t = 3*t - 10, -2*z + 20 = -5*t. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 - 2*j**2 - 6*j**2)*(22 - 22 - 36*j) - 2*j**2 - j**3 + 2*j**2.\nAnswer: 467*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1212748 micrometers to kilometers.\nAnswer: 0.0000000001212748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4 + 6 + -14 + 9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -844126 (base 9) in base 2?\nAnswer: -1111010011110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163.1 + 163. What is the closest to 2 in -2, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 211338*a**4 - 2747022*a**3 + 9508380*a**2 + 5283225*a - 52824750 = 0. What is a?\nAnswer: -2, 5, 70433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/25 (b) -0.3 (c) -9 (d) 32.8 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/54 + 113*r**3\/27 + 590*r**2\/9 + 1591*r. Find k, given that h(k) = 0.\nAnswer: -5, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let p(r) = -1750*r. Determine p(g(x)).\nAnswer: -1750*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11 and -34.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81637446218088 + -120496838989997873\/1476. Let u = d - 21428118. Let o = -70\/123 + u. Find the common denominator of -7\/18 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 2\/45*n**5 + 4 + 0*n**3 - 1\/18*n**4 + 0*n + 0*n**2. Factor m(w).\nAnswer: 2*w**3*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/5)\/(3\/15). Suppose 3*g - k*g = -4248. Suppose 2*u = 3*s + 348, -3*s + 0*s - g = -4*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -11. Suppose b = -b + 4*u + r, 0 = 2*u + 10. Let w(i) = -2*i**2 + 3*i - 3. Let x(n) = 2 - 5 - 2 + 5*n - 3*n**2. Determine b*w(l) + 3*x(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3614059 to the nearest ten thousand.\nAnswer: -3610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Suppose v = -9*u + 4*u - 10. Suppose 3*c + i = 0, -4*c + 4 = -i - 3. Put c, u, -4 in decreasing order.\nAnswer: c, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50466105 (base 7) to base 6\nAnswer: -230015113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 83*w**5\/210 - 85*w**4\/84 + 2*w**3\/21 - 6*w**2 + 15. Suppose x(d) = 0. What is d?\nAnswer: 2\/83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376552 (base 10) to base 2\nAnswer: -1011011111011101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l + 3*l - 2*l + 1)*(-50*l - 20*l + 5*l) in the form i*l + b*l**2 + a and give b.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 32\/7 of a week?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 325757586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-3 + (-6 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3080, 1\/4, 704, 0.06 in descending order.\nAnswer: 3080, 704, 1\/4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 118 + 74*p**2 - 221*p**2 + 70*p**2 + 74*p**2 to k*p**2 + d*p + j and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**27*m*m*m)\/m)**(-35\/6)\/((m\/(m*m*m*m*m**(-1\/35)\/m))\/m*m**(-3\/31)) assuming m is positive.\nAnswer: m**(-186546\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124300 + 33304?\nAnswer: 213104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 507658271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2592 and -73\/360.\nAnswer: 12960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 9 = -4*r, r + 23*n - 198 + 129 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + -11 + 12 + -9. What is the nearest to 5 in 0.09, h, -2, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 10*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 35. Let d(c) = -c**3 - 7*c**2 + 7*c + 3. Let z be d(-8). Calculate the highest common factor of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4 - -12)\/(-4) + 2)\/(-2). Factor l - 1\/3*o**2 - 1\/3*o**3 + 0*o.\nAnswer: -o**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 4 = 0. Let m(u) = u**2 - y - 4 + 8. Let l(a) = a**2. What is m(l(g))?\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-5)\/(-1)))\/(4\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157523839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a9a5 + -1d?\nAnswer: -3a9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/2))\/g)\/(g\/((g*g*g**(-29)*g*g)\/g))*(g*g*g**0)**(-33) assuming g is positive.\nAnswer: g**(-185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q - 2*i = 284, -4*q - i = -290. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 9*h + 5797. List the prime factors of h.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669a (base 11) to base 5\nAnswer: -240241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 2}. Give prob of picking 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 33\/20*u**6 + 25*u**2 + 0*u + 0 + 13\/70*u**7 + 81\/10*u**5 + 189\/8*u**4 + 1\/112*u**8 + 81\/2*u**3. Factor d(i).\nAnswer: 3*(i + 1)*(i + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h\/(h*h**18)))\/(h**0)**(-23) assuming h is positive.\nAnswer: h**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {i: 5, v: 1, s: 2, c: 1, y: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 648336.1 millilitres?\nAnswer: 648.3361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 14) in base 11?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuc when four letters picked without replacement from {u: 1, c: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 3*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 6 = -3*g - 9*a, 0 = 2*a + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96636 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3147*j**3 + 3153*j**3 - 6303*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbqqeqqbeebbee. What is prob of picking 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 2*q + 15)*(5 - 2 - 1) - 6*q + 4*q + 57 + 528 + 301 - 7.\nAnswer: 2*q + 879","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 380110?\nAnswer: 58\/190055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -24d2?\nAnswer: -24cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -39*r**3 - 2*r**2 + 5*r + 8. What is x(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aa45 + 45?\nAnswer: 2aa8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.970303 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 18, 4, 0 in increasing order.\nAnswer: -9, 0, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 1. Let a be (-2)\/((-18)\/39) - 6. Put -0.01, v, a in descending order.\nAnswer: -0.01, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h - 132. Calculate s(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(736\/(-30912)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16428 is divided by 245.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btt when three letters picked without replacement from {t: 2, b: 1, g: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265903 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.129 - 0.128713. Round h to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (10 + -8 + 4)) + 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498965 is divided by 1308.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -302 - -304. Solve -2*a = -8 - k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8, u + 4 = 5*b + 2*u. Factor -8\/9*c**4 + 0 + 2\/9*c**5 + 0*c**2 + 8\/9*c**3 + b*c.\nAnswer: 2*c**3*(c - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 16*i**2 - 19*i - 22. Is 4 a factor of v(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486062619.\nAnswer: 3, 7, 223, 271, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77583 and 39633?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 461, -2 in increasing order.\nAnswer: -2, 1, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 223 = -2*z, -5*z = 2*a + 369 + 136. Let q be 3*(-4)\/12 - z. What is the greatest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5252925 or -0.03?\nAnswer: 2\/5252925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - i**2 + i + 75. Determine l(0).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 7*j - 25, r - 4*j - 69 = -64 - 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2666 - 2606. Solve z = 16*v - v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242756.58 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -2*a + 9, 10 = -5*o. Let x(v) = 3*v**2 - 3*v - 6. Let s be x(a). What is the greatest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.5325655 to the nearest integer.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2006)\/(-177)*6*5\/(-20)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 19. Let i be m(21). Sort i, -4, 3 in increasing order.\nAnswer: -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 2736*z + 16375. Calculate s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 2*q**2 - 4*q + 4. Let z(h) = 4*h**2 + 2*h**3 + 3*h - 10*h - 2*h + 8. Let t(g) = 5*y(g) - 2*z(g). Suppose 4*x = 4 - 16. Calculate t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.079, -1\/5, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*q = 92, -m + 0*m = 4*q + 28. Let j be ((-84)\/m)\/(2\/20). What is the lowest common multiple of 11 and (-46)\/(-14) - 12\/j - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s. Let g(u) = -3003*u - 4. Let w be g(-1). Let l(d) = 2999 + 6*d - w. Calculate i(l(k)).\nAnswer: -54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-323)\/(-17))\/1083*3*2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000 + 12?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 - 47*h - 6. Suppose 6*y - 2*y = -5*j - 94, -3*y = -j + 61. What are the prime factors of q(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2, 0 = -2*k - w - 8 - 9. Let r be (-2)\/1*36\/k. Let l(a) = -2*a**2 - 9*a + 9. Let u(v) = v**2 + 4*v - 4. Calculate r*u(h) + 4*l(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14 - -12)*1\/5615. Let b = x - -286541\/494120. Calculate the common denominator of 109\/48 and b.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 1\/336*a**8 - 52*a**2 + 0*a**5 + 0*a**6 - 3\/4*a**4 + 0 - 1\/3*a**3 + 0*a**7 + 0*a. Find the second derivative of w(x) wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/(-3) - -1)\/(108\/(-486)). Solve -2*n - 16 = -2*b, -l*n = -b - 2*n + 17 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65695234729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 107. Suppose o + 5\/7*b**2 + 1\/7*b + 4\/7*b**3 = 0. Calculate b.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 3. Let o = s + 0. Suppose u - 14 = 4*d, 0*d = -4*u + 2*d + 14. Is u less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 338, 487, 636?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 77 - 53 = -5*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0.04266\nAnswer: 3.04266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -90*n + 89*n + 10, 0 = -n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2476*d**5 - 2201*d**2 wrt d.\nAnswer: 148560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4552 + -4781 + 124 + -1.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1555*x + 780*x + 777*x. Let s(w) = 5*w - w + 0*w. Determine n(s(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-1 + -3)) + (1 - 2). Suppose -26*c = -29*c - f. Put 3, 0, c in descending order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 12 = y, -16 = 4*n - 5*y. List the prime factors of 18\/((30\/n)\/(-5)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1201416*v. Let o(x) = 5*x. Determine c(o(s)).\nAnswer: -6007080*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 14*i**2 + 4*i - 22. Suppose -43 = -7*b + 30 + 25. Give o(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/21920 and -11\/20.\nAnswer: 21920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -54. Let j be 1\/4 - h*35\/20. Factor -1\/3*a**3 - 8\/3*a + 5\/3*a**j + 4\/3.\nAnswer: -(a - 2)**2*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2629224)\/20)\/2 - 228\/570. What is t rounded to the nearest 1000?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1234 = b, 4*b - 4904 = -0*s - 4*s. What is b rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -11*w**2 + 4. Let y(a) = -65*a**2 + 25. Calculate 25*j(m) - 4*y(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*k = 9*j - 2, -3*j - 5*k - 5 = 0. Solve 13*z = -42 - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44*-5*2\/(-10) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50324.9 meters to kilometers.\nAnswer: 50.3249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2074\/1589 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 > -4272\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q + 28*q - 37*q = 84*q - 10166 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15672360, 15672358, 15672356, 15672354, 15672352, 15672350?\n\"Answer: -2*y + 15672362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -187, 3, 5 in increasing order.\nAnswer: -187, -6, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3868 - 0.3868. Let w = -81\/22 + 2\/11. Is h not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-16 - -10) - -16 - 12?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*a**2 - 92*a**2 - 13*a**4)*(-1 + 3 + 5 + 4 + 0 - 3 + (-4 + 5 + 1)*(1 - 4 + 4) + 2 + 2 - 2).\nAnswer: -156*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1098343247548 and -0.5?\nAnswer: 1098343247547.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -33*k**2\/2 - 9*k + 66. Does 7 divide j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 5*f + 51, -4*f - 36 = 68801*d - 68797*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 92.37142 weeks?\nAnswer: 55866234.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 5\/2*b**2 - 1\/12*b**4 - 5\/6*b**3 - 5*b. What is d(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 4*r**5 - 2 + (-4*r + 15 - 15)*(r - 1 + 1)*(71 - 71 - 29*r**3).\nAnswer: 112*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 0. Let b(c) = -c**3 - c - 5*c + 6 - 4*c + n*c - 10*c**2. Does 5 divide b(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 21*x**3 + 70*x**2 + 48*x.\nAnswer: -x*(x - 24)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 15 - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*m + 988*t = 992*t - 1620, -1 = 3*m + 5*t + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (28 + 15 - 30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 13517.\nAnswer: 364959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8 - 43 - (4 + -9)) + 120\/(-30)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 - -5.9. Sort -1\/11, z, -4\/7 in descending order.\nAnswer: z, -1\/11, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21171.\nAnswer: 3, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z - 6. Let q(s) = 15*s - 5. Let x = -1208 - -1213. Calculate x*a(h) - 6*q(h).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjbblbpyyb. What is prob of sequence bpp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7*m - 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 35\/(-1820)*-52.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcca when four letters picked without replacement from cacavcccaac.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39\/5 - 8. Let t = -2\/2361 - -2369\/9444. Let d be (2\/(-5))\/(42\/(-10)). What is the fourth smallest value in d, f, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14010*j + 28408. Give y(2).\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*w = -77*w + i - 16, 3*w = 4*i + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:03 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 3*i - 12, -i = 4*x - 0*i - 16. Let t be (x\/(-3))\/(12\/(-18)). What is the first derivative of 2 + 6 - 4 - 4*a**t + 9*a**2 wrt a?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 12*u**2 + u + 13. Let i be t(-12). Let s be (0 + i)\/((-4)\/(-200)*2). Solve -4*v - v - s = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -1. Let n = y + 5. Let i = n - 0.9. Sort 5, i, -3 in decreasing order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/(-5))\/((-14)\/10). Let b = y - 3. Let m = -996\/7 - -142. Put -5\/6, b, m in descending order.\nAnswer: b, m, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.57 - 0.07. Suppose 5*p - 25 = 3*d, 0 = 3*p + 2*d - 7*d - 15. Sort p, -4, n in decreasing order.\nAnswer: p, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 3*c + 12. Let r be (-5)\/(-20) - c\/(-8). Let i be (-4)\/(-60) + 2\/(-3). Sort r, -0.4, i in increasing order.\nAnswer: r, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1833405 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(4*6\/120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 224 - 3a321?\nAnswer: -3a0db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681494?\nAnswer: 2, 11, 30977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 5*k + 187, -4*q - 3*k + 201 = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23211 (base 4) in base 3?\nAnswer: 1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**21)**47 assuming h is positive.\nAnswer: h**(-282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 15 - (-21 + (-5120)\/(-96))) + 14?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 1, v: 4, f: 4, w: 1}. Give prob of sequence fz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48.35 and 0.4.\nAnswer: -47.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82069667*j**4 - 51466492 with respect to j.\nAnswer: -328278668*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 4 + 3 - 3) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 482632133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62002 + -64542?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpcu when four letters picked without replacement from {b: 1, c: 2, k: 1, u: 4, p: 3, n: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-445)\/(20\/4) - 5. Let b = -80 - m. Calculate the highest common factor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -189.901904 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 62*r**2 + 104*r - 1403. What is the tens digit of i(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-1)*(-10)\/(-15). Let k be (-6)\/15 - l\/10. Factor k*i**2 - 2\/3*i**3 + 2\/3*i + 0.\nAnswer: -2*i*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) 1\/2 (c) 2 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(-6 - 2). Let d be (-4)\/16 - (-9)\/l. Suppose -y + 0*y = -5*c - 11, 0 = -3*y + d*c + 20. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3\/3 - 2*m**2 + 3*m + 30. Let r(k) be the first derivative of -3*k**2\/2 + 2*k + 5. Calculate 2*f(o) - 3*r(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-4 + 4 - 2*c) - 3*c + 2*c - c)*(0*c**4 + c**4 - 2*c**4).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -15. Suppose 0 = -5*w - 3*z + 23, 2*z = -2*w + n - 4. Let p be (w\/(-69))\/((-4)\/6). What is the second smallest value in 2, 2\/21, p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29756188939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = 1 - 361 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/4 - 3048*h + 6099.\nAnswer: -3*(h - 2)*(h + 4066)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 194, 287?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let p(j) = 1666*j. Determine x(p(n)).\nAnswer: 2775556*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:06 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15405 and 33180?\nAnswer: 431340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0*v + 3*v - v + 0*v. Let a(n) = -6*n**2. Give a(z(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/26 - 6\/(-39). Suppose 10*t - 5*t + 35 = k. Let g(m) = m**3 + 8*m**2 + 9*m + 5. Determine g(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 1. Let m(r) = 8*r + 14. Let d(n) = -6*a(n) - m(n). Let k be d(-9). Let o be (-6798)\/8 + k\/(-40). What is o rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-6 + -15 + 0)) + -15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*x - 14, 677*x = -5*d + 672*x + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 12, -62, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9592*r + 3 + 37898*r.\nAnswer: 28306*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 206\/14 + (-4)\/(-14). Suppose 0 = -14*z + 27 + 15. Suppose 3*o - h - z = 0. What is the smallest common multiple of 11 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734157 is divided by 460.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v - 264 = 72. What is the greatest common factor of 6 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/4*2*1. Suppose 120*o = -3*h + 122*o + 17, 5*o - 70 = -5*h. Solve h*w = 8*w + x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*k + 117*k - 292*k - 518 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*p + 50 = 1185*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39780842?\nAnswer: 2, 227, 87623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5778\/(-428))\/((-9)\/8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**(-41))**(-37)*(n\/(n*n**0))**(37\/5)\/((n\/((n*n**(-5)\/n*n*n)\/n))\/n*n\/(n\/(n\/(n**(-6)\/n))*n)*n) assuming n is positive.\nAnswer: n**(1493\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (-346 - -347)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32127352 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(11) - sqrt(275)) + (sqrt(11) - (sqrt(11) + sqrt(11) + sqrt(99))*-6) + 0)**2*-4.\nAnswer: -15884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let y(t) = 13*t**2 - 9*t**2 - 13*t - 45*t - 5 - 22*t + 19*t. Let u(a) = -6*a**2 + 91*a + 7. Let o(s) = -5*u(s) - 7*y(s). What is m(o(h))?\nAnswer: -8*h**4 + 224*h**3 - 1568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*i + 64, 7 + 8 = 3*q. Let j(z) = -z**2 + 12*z - 9. Let m be j(i). Solve m*a + a = -3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232\/(-72) + (-304)\/171 + (-1 - -3). Put t, -5, -296 in ascending order.\nAnswer: -296, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3866 = -4*d + 4*s, 0 = d + s - 963. Suppose -2*b + 5*b - 15 = 0, 3*f = b - 1880. Let w = d + f. What is w rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 380 - 7 - 6*s + 2*s + 2*s as g*s + d and give d.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -10\/9*l**2 + 0 - 4\/9*l = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31107 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: In base 2, what is -101 + -1110001110010?\nAnswer: -1110001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -2*t**3\/9 - 44*t**2\/3 - 1337. Suppose s(l) = 0. What is l?\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12073 and -0.1.\nAnswer: -1207.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -81*g - 689. Is u(-19) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-30) + (-4 + 13 - 8). Sort 1\/5, -1, 0.1, i.\nAnswer: -1, 0.1, i, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 664\/(-132) + 468\/(-286).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3047 + -1769. What is the greatest common factor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9162, 36674, 82528, 146724, 229262, 330142, 449364?\n\"Answer: 9171*k**2 - k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 37. Let f(i) = 829 - i**n + 825 - 1655 + 6*i. Give f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 776 + 66 = 0. Are -74 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 1:59 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -247.9983 + -0.0017. Let o = 247.999988 + m. What is o rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -454?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 0, 5*o = 5*l - 37 + 7. Let r(k) = 2*k. List the prime factors of r(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74521+-139\nAnswer: 74382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1327*u**3 + 0 + 18*u + 1 - 1325*u**3 in the form m*u**2 + j + d*u**3 + z*u and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 238 = -3*h. Suppose -16603 + 43350 = h*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -43*p**2 + 79*p - 6. Let w(y) = 43*y**2 - 78*y + 7. Let i(a) = 7*b(a) + 6*w(a). What is the second derivative of i(t) wrt t?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 3*u - u**2 + 0*u - 3*u**2 in the form y*u**2 + r + h*u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*a - 10*a + 11*a + 3*a + 0 + 0 + (-5 + 2 + 2)*(0 + 0 + a))*(4 - 2 - 1 - 2 - 3 + 3 - 2 + 0 + 3 + (-5 + 5 + 1)*(0 + 1 + 0)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.5992291 plus -0.2?\nAnswer: -39.7992291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 + 66. Let y(v) = 8*v**3 - 3*v + 3. Let i be y(1). Let g be (i\/6)\/(1\/12) + 0. Calculate the highest common factor of g and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -109*w**2\/2 - w + 2. Let d be z(-1). Let p = -17 + 29. Calculate the greatest common factor of p and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680160 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = -20. Let j be (0 + 0)\/2 - k. What is the third derivative of s**j + s**4 + s**4 - 7*s**4 - 7*s**2 wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, b: 16}. What is prob of sequence qz?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 + -3635?\nAnswer: -3468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 + 2*f**3 + 0*f**3 + 0*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78271946 or 78271945?\nAnswer: 78271945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001906 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + ((2 + sqrt(2057) + -4)*-1)**2 + ((sqrt(816)*-6)\/(sqrt(3) + 4*sqrt(12)))**2).\nAnswer: -264*sqrt(17) + 39256\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -4*p. Let m(i) = 12 - 17 + i + 4. Let d(q) = -3*q + 6. Let o(n) = d(n) + 2*m(n). Determine o(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + (sqrt(288) - (sqrt(288)*-1 + 5)**2)).\nAnswer: -310 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 15 = 17. Let w(n) = 0*n**r + 17*n**2 + 2*n - 3*n - 7*n + 6. Let y be w(6). Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3321104412 (base 5) in base 13?\nAnswer: -1654418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5402853 and 29\/4.\nAnswer: 21611412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38763 (base 11) to base 9.\nAnswer: -84102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-33) - 62\/(-22). Suppose -h*f + 15 + 15 = 0. Find the second derivative of -849 + 849 - 13*k + f*k**2 wrt k.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01142 and -10058?\nAnswer: 10057.98858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**2 - 99*w + 99*w. Let n(p) = 3*p**2. What is k(n(z))?\nAnswer: 36*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135506 is divided by 7750?\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*sqrt(70) - sqrt(70))*6)\/(sqrt(490)*6).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 1368 = 7*p. Let i be -3*20\/p*-6. Solve i*h - 17 = 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z + 12 = 0, -5*x = z - 12. Suppose 35 = 15*u - 10. Solve x*j + 3 = -3*q, -14 = -2*j + u*q - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 7*w + 7. Let q be b(-5). Let r be 2\/1*1\/q. What is the closest to -1\/4 in -0.5, 0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312139.4ml to litres.\nAnswer: 312.1394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*n + 121, -n + 8*n + 53 = -6*b + 4*n + 110 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/70? (a) 12\/11 (b) -2\/5 (c) 71\/3 (d) -0.2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*x - 1370, -2*x = -16*g + 20*g - 1106. Calculate the highest common factor of g and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1050 + 1052. Let b be (-2)\/4*0\/(-1). Solve -v + r*v = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a**2 - 3*a - 3. Let o be i(-2). Suppose 2*k + o*f - 16 = 0, -3*k + 25 + 0 = 5*f. Suppose -t = -k*t + 224. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -77, -77, -75, -65?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.1 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47397037, 94794078, 142191119, 189588160, 236985201?\n\"Answer: 47397041*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3248 divided by 116?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**5\/15 - 27*u**4\/2 + 6229*u**3\/9 + 4482*u**2 + 27556*u\/3 + 2343. Factor f(s).\nAnswer: (s - 83)**2*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108646 - -5?\nAnswer: -2108641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 8. Let t be 12\/44 - (-12831)\/143. Calculate the highest common factor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*b - 7*y + 6*y, -5*b - 17 = 3*y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213 (base 4) in base 7?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 3. Let y = 16 - k. Suppose y + 4 = 3*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + s + s. Let p(w) = 2*w**2 + 7*w - 3. Let l be p(-5). Let r(b) = l*b**2 + 10*b**2 - 24*b**2. Determine r(n(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*d + 130 - 530. Which is bigger: 10 or d?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 57*z**2 + 28*z - 64. Let f be q(-29). Let h be (f\/(-10) - 8)*(-4)\/6. Solve 5*r = -h*j + 12, -r - 4 = -3*r - j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256182\/3 smaller than 418727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*m**3*z - 2537*m**3 + 81*m**2*z**2 - 2*z**3 wrt z?\nAnswer: -2*m**3 + 162*m**2*z - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j, 5*j = 5*p + 2*j - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 251, 288, 349, 440?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 72149062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195251 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63282161*v**4 - 2*v**2 + 4512590 wrt v?\nAnswer: -1518771864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10860 - -10891. Solve 16 = 3*f + h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.76, 0.3, -2\/9, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 128190125 divided by -25\nAnswer: -5127605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13726380 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 9. Let o be v(14). Let i(g) = -5*g**2 + 9*g + 10. Let t(h) = 3*h**2 - 6*h - 7. Let s(z) = o*i(z) - 7*t(z). What are the prime factors of s(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 7*k**2 + 6*k + 20. Is 16 a factor of a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*z - 96*z = 96. Let f(x) = x**2 + 14*x - 101. What is the hundreds digit of f(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -508 + -2.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/20 - 5*q**4\/4 + 2*q**3 - 15*q**2 - 8*q. What is the tens digit of x(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 124*c + 27. Let g be h(1). Let l = -148 + g. Solve -3*t + 15 = 0, 4*t - l*t = 5*d + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.05353 nanograms?\nAnswer: 0.00000405353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 90, 214, 378, 576, 802, 1050?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1442?\nAnswer: 12978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-3*2\/3). Suppose 98 = 3*a - 94. Suppose f*r = a + 20. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -66\/43, 103 in descending order.\nAnswer: 103, 0.4, -1, -66\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -373\/154 + -6\/77. Let w = 3 + 3. Suppose 0 = -4*k - 5*j + 33, 4*j - 8 = 3*k + w. What is the closest to 1 in z, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 15*o - 20. Determine y(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:14 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (9 + 16 + -9 - (0 + 4) - 2)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 41*g - 130. Determine k(37).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1458, 1455, 1452, 1449, 1446?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**5 - 113*d**4 + 37*d**4 + 41*d**4 + 15*d**3 + 35*d**4 + 2183*d**2 wrt d.\nAnswer: -720*d**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 2*t + 0*t + (-1 + 3 - 1)*(0 + 0 + t) - 76 + 76 - 4*t + 0*t + t - 3*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965 less than 0.06250053?\nAnswer: -5964.93749947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 3\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 325*z**3 + 2272*z + 433. What is the first derivative of i(r) wrt r?\nAnswer: 1950*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6528214 months in centuries?\nAnswer: 0.0022106845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/18)\/y)**(15\/8) assuming y is positive.\nAnswer: y**(-95\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -29*z + 219. Calculate u(11).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let x be (477\/(-4))\/((-3)\/8). Let k = -2547\/8 + x. Which is smaller: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r - 51080 = 18*r - 5*m, -m = -2*r + 20417. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 2014146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -365427, -2923427, -9866573, -23387439, -45678599, -78932627, -125342097?\n\"Answer: -365429*k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 41 + 76 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5644 - -66\nAnswer: 5710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 309925559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwamnzanmmazngmza. What is prob of sequence gna?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*k + 26 + 72 + 518 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*d - 6 + 26, 9 = 3*d + m. Suppose d*w - 2 - 6 = 0. Suppose 2*z = x - 5, -2*x + 3*z + 2*z + 11 = 0. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 18*x + 40. Calculate v(21).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408919159*h**4 - 67055*h + 1129.\nAnswer: -4907029908*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2645 divided by 529.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - ((-171)\/27)\/1. Suppose 8\/3*p**3 + s*p + 0 + 2\/3*p**4 + 10\/3*p**2 = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320105718.\nAnswer: 2, 3, 17783651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-4) + 7\/28. Determine u so that -u - 22*u**3 - 10*u**3 + 30*u**3 + 6 + 3*u - 6*u**b = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3790?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + 72\/12*1\/(-2). Let q be ((-8)\/(-24))\/(8\/p - 2). Let o = -0.12 + 0.02. What is the closest to o in 1, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171189 and 142105891?\nAnswer: 1278953019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15 + 2\/5. Suppose t = h - 2*h + 20. What is the lowest common multiple of 16 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 123360947*w**4 - 299388829 with respect to w.\nAnswer: 493443788*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*v**2 - 19 + 65*v**2 - 28*v + 49*v**2 + 28*v.\nAnswer: -v**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2454842*v**2 + 1102522*v wrt v.\nAnswer: 4909684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -40. Solve -k - a = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -4, -26, 16 in decreasing order.\nAnswer: 16, 2, 0, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291429269 - 291429269 - 189*u**2.\nAnswer: -189*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 2524 - 2524. Let m(l) be the third derivative of l**4\/8 - 2*l**2. Give d(m(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 472 = 2*d, 4*w + 5*d - 500 = 0. Let a be (-26 - 10)*(-4)\/6. Calculate the greatest common divisor of w and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/11 and 1\/1509.\nAnswer: 16599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91 - (-48048)\/784) + (-1 - -23)?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, o: 3, s: 1}. Give prob of sequence hh.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -130*h**2 + 98*h - 4. Let o(l) = -2*l**2 + l + 1. Let i(b) = -4*o(b) - s(b). What is the second derivative of i(c) wrt c?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(209)\/(sqrt(1584)*2) + -1 + sqrt(38)\/sqrt(2)*-2 + -3)**2.\nAnswer: 329*sqrt(19)\/12 + 71923\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3223? (a) 0 (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3285261 divided by 6\nAnswer: -1095087\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1 + 91 + -5. Suppose 0 = 5*m + 3 - y. Let v be 3 + ((-42)\/(-8))\/(39\/104). What is the highest common divisor of m and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4356.9 and 5798206123?\nAnswer: 5798210479.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8, 4*o + 4*q = 27 - 7. Suppose o*d - 9 = -d + g, 2*d = 2*g. Is 0 - ((-9)\/d - 64) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:20 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + (-168)\/(-18). Suppose -h = -5*y - 4*m, 4 + 0 = 2*y - 5*m. Suppose q = 2*d + 7 - 0, 0 = -d + y*q - 2. What is the closest to 2 in d, 1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-1 - -2) + -3. Calculate the remainder when (b\/3)\/((-4)\/(-126)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11 - -7 - -2*2. Let i be (z - (-140)\/(-25))*-5. Suppose 4*y + y = -2*q + i, -2*q + 12 = y. What is the least common multiple of q and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) - (10 + 3). Let f = q - -34. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 - 437.5. Let n = r - -87. What is the third smallest value in n, -2\/9, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36964, -74025, -111078, -148123?\n\"Answer: 4*h**2 - 37073*h + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34 - ((0 - -1) + 0). Suppose 0 = -5*o - 4*d + 31, -48*o = -46*o - 4*d + 10. What is the greatest common divisor of l and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 65 - 65.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36577*a**3*w**2 - 2*a**3 + 7*a*w**3 + a + 526510 wrt w.\nAnswer: -73154*a**3*w + 21*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -318, -316?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.04792.\nAnswer: 0.019168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1. Suppose -68 = -t - 67. Let u(s) = s + 1. Give t*g(q) - u(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -311*k**4\/12 - 88*k**3\/3 + k**2 + 573*k. Find the first derivative of p(s) wrt s.\nAnswer: -622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46860219 + -17472\nAnswer: -46877691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.161027476 - -2.54.\nAnswer: 2.701027476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 933 + -22400?\nAnswer: -21467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 12*t + 12. Let r(a) = -a**2 - 10*a + 17. Give -3*r(f) + 4*u(f).\nAnswer: -f**2 - 18*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(6)\/sqrt(3)) - ((sqrt(27) - sqrt(3) - sqrt(3)) + sqrt(3))*-6)**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 6*q**2 + q**2)*(-4*q**3 + 3*q**3 - 2*q**3) - 2 + 2197*q**2 - 22*q**3 + q**5 - 2197*q**2.\nAnswer: 7*q**5 - 22*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/4 - 8998267*d\/2 - 80968809003289\/4 = 0?\nAnswer: -8998267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 376 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-646)\/9 + 24\/(-108). Let l(b) = -b**3 - 4*b**2 - 4*b - 6. Let x be l(-5). Calculate the common denominator of 59\/6 and 1 - 2*x\/a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2 - -99?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -678*w = -721*w + 1978 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*t + 2*t. What are the prime factors of 224\/t*99\/(-22)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 11*r**2 - 20*r + 20. Let q be i(9). Suppose -2*w + 11118 = t, t + 22248 = q*w + 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 1, 29, 67, 115, 173?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166768 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 20. Let m be 10*(4\/q + 9\/12). Suppose -v + 3*y = -143, -y = -m*v + 2*y + 691. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/(-7957) + 616047\/9483.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (0\/(-2) + 0). Calculate the common denominator of 0 + 3 + (-134)\/(-6) and g\/11*92\/(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o = -115. Suppose o - 3 = 4*l. What is the tens digit of 11\/((15\/6)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00146775 rounded to five dps?\nAnswer: 0.00147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4764 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 <= -5489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 10*h + 10. Suppose 2*q + 0 = -16. Calculate v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 116.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 69679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 526940069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -158, -18, 148, 352, 606?\n\"Answer: 2*g**3 + g**2 + 123*g - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-785)\/(-5) + -4 - -1. Calculate the highest common factor of k and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 + 8)\/(-2*1). Solve 0*i - g*i = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/15 (c) 0.2 (d) -905\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 6 = -4*x, 5*k - x - 4*x = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*j**2\/5 + 22999437*j\/5 - 19107090 = 0. Calculate j.\nAnswer: 54\/13, 589725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*x - 13, -33*n = -30*n + x + 17 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 944431\/88 + -10732. Calculate the common denominator of 105\/1976 and l.\nAnswer: 21736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**2 + 68*k - 5. Let v be l(6). Solve -114*z - 1 = -v*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572491 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(117\/27 + 5 - 9). Solve 0 = -2*x + z*u + 12, -5*x + 12 = 2*u - 5*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123321353 (base 6) in base 15?\nAnswer: 327c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6579 is divided by 200.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5 - 20*g + 11*g + 6 + 1. Calculate r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, e: 3}. Give prob of picking 1 b and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**3 - 3*h**2 - 3. Let c(r) = 23*r**2 + 32 + 41954*r**3 + 12*r**2 - 3*r**2 - 42042*r**3. What is 3*c(j) + 32*k(j)?\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.83 (b) -420 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 1163004?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 438153029?\nAnswer: 438152966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let c(g) be the third derivative of g**3\/6 + 61*g**2. Let p(a) = c(a) - 2*r(a). Let k(i) = -i**2 + 2*i - 2. What is k(j) - 3*p(j)?\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -731 - -731.08. Which is the second biggest value? (a) 4\/5 (b) 5\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.309482 less than -708372?\nAnswer: -708393.309482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -41122, -41093, -41046, -40981?\n\"Answer: 9*g**2 + 2*g - 41133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/sqrt(80) + ((1*sqrt(78))\/sqrt(6) + sqrt(13))*-3)**2 - -1*(6*-2*sqrt(1300) - (sqrt(1300)*-2)**2*1).\nAnswer: -76323\/16 - 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**3 + 15*s**3 + 454*s - 456*s to the form u*s + h + j*s**2 + m*s**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92964099 - 2368*t - 29422*t + 92964099 to w + d*t and give d.\nAnswer: -31790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*o = -270, -3*a - 5*o + 1 = -159. Suppose -10*k + a = -5. Solve -g - k = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 2*m - 2 + 0*m**2 - m**3 - 2 + 4*m**2. Let r(f) = -f**3 - f**2 + 2*f + 3. Let w be r(-2). Does 3 divide v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -39949805\nAnswer: 11984941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3636, 14614, 32896, 58470, 91324, 131446, 178824?\nAnswer: 233446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 - 298. Suppose -r*x + 27*x - 65 = 0. Solve x*m + 12 = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -9*c + 49. Suppose -c*l = -8*l. Solve l = -3*f + 4*t + 28, -5*t + 0 = 4*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5178004 is divided by 172600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4, 0.8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*i - 3*i. Let a(g) = 4*g**3 + 17*g**2 - 50*g - 7. Let z be a(3). Let h = z + i. Solve 4*u = h*t + 10, -4*t + u + 3 - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -42. Let j(s) = -s**2 + 14*s + 14. Let p be j(b). What is the tens digit of 5 + 37 - 3*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3791 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:57 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/6)\/(10\/(-15)). Let n be (0 - m)\/(2\/8). Let t be 18\/14 - (-8)\/n. Put 3, t, 4 in ascending order.\nAnswer: t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*m = -28, -28*m + 25*m + 40 = 7*a. Solve 11 = -x + a*h, -28*x + 10 = -24*x + 2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*n - 10978, -4*b + 14628 = 50*n - 46*n. What is the smallest common multiple of 10 and n?\nAnswer: 18290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - v + 2. Suppose -2*j + 3*a - 5 = 2*a, 2*a = -j + 10. Suppose j*r = 3*r. Determine o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(sqrt(567) + -1)*6*3)**2.\nAnswer: -209952*sqrt(7) + 6625152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 528 + -509 + (-25 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v + 379. Let k(b) = 14*b - 381. Determine 5*k(i) + 6*y(i).\nAnswer: -2*i + 369","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364 and 208.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (343 - 614 + 308 + 2*i)*(1 - 3*i - 1).\nAnswer: -6*i**2 - 111*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 0. Let h be (-58)\/(-87)*3\/8*-1. Let b = -0.09 - -0.13. What is the nearest to h in n, b, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 2. Let p be m(0). Suppose 2*y = -0*y + p. Calculate the remainder when 3 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 18053775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mffnmffmfpmpfmfmff. What is prob of picking 1 n and 1 p?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45148616 and 29906.\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5 = 0, 7*z - 3*z - 169 = a. Suppose -7*i - 7*i + z = 0. Suppose 130 = i*o + 52. Calculate the remainder when 50 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-7))\/((-22218)\/(-285131))\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 0*r**2 - 3*r + 0*r**2 - 9 + r**2. Suppose 805*o + 235 = 852*o. Determine l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1164 + 5669. What is the remainder when l is divided by 134?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 13*o - 11. Let b be t(14). Suppose 0 = f + 4, 4 + 84 = -b*y + 5*f. Let k be -1 - (-100999 + 9\/(y\/8)). Round k to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 6*u + 6. Let j(q) = -7*q + 7. Let s(x) = -6*j(x) + 7*l(x). Let c(z) = -13*z**2. Let t(b) = 4*c(b) - 7*s(b). Let v(o) = -4*o. Give v(t(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, 0.2, 3, -186\/37, 5\/3 in ascending order.\nAnswer: -186\/37, 0.2, 5\/3, 3, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 7*h**2 + 30*h + 8. Give b(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.28 - 1.28. Let n = r - 142. Let q = 3 + -1. Which is the second smallest value? (a) q (b) -0.6 (c) n (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 5. Let l = 9 - i. Suppose -w - 13 = 3*g, l*g - 6*w + w - 8 = 0. Sort 3, g, -2 in descending order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -22 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 541\/452 + 6\/113. Let z = -6573 - -118343\/18. Find the common denominator of f and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 127*s - 716. Let v be g(15). Calculate the highest common factor of v and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - 0.01. Let n be (0 - -1) + 4\/8. Let d = 0 + -1. What is the nearest to 0 in n, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1771254 litres in millilitres?\nAnswer: 177.1254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/688567, -4\/3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1420, -1415, -1396, -1357, -1292?\n\"Answer: z**3 + z**2 - 5*z - 1417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -15150*v + 151491. What is r(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12508.64 litres?\nAnswer: 12508640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -68*t + 680. Let s be m(10). What is the fifth smallest value in 3, -1, -11, s, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((49290\/(-40))\/(-93))\/((-8)\/32)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029818630 divided by -1?\nAnswer: -1029818630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -22.1. What is the third biggest value in z, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/6, -0.5, -4, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(138\/(-60))*(((-280)\/330)\/(-28))\/2\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**2 - 32*o + 0 + 0*o**5 + 0*o**3 + 0*o**6 - 23\/42*o**7 + 29\/12*o**4. What is the third derivative of t(z) wrt z?\nAnswer: -1380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*k - 271*k = 50 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1983119 (base 13) to base 7\nAnswer: 131300426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 s when four letters picked without replacement from ssaasassssss.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**3 - 2*l**2 - l + 1. Let q be 0 + 1 - -2 - 2. Let r(t) = 10*t. What is the remainder when y(-2) is divided by r(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)\/u**(3\/4))**(3\/5)*(u**(-1\/4)\/u)**(-4)*((u\/(u*((u*u**(-1)\/u*u)\/u)\/u))\/u)**47 assuming u is positive.\nAnswer: u**(911\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from fvmrrcrrrrrrrrrcrm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnanaaann. What is prob of sequence aa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11665 - -11566. Are -1866\/19 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6076275 and 4.9.\nAnswer: 6076279.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/37)\/z**(-20))\/(z\/(z*z**3)*z**(15\/8)*z))**(-4) assuming z is positive.\nAnswer: z**(-5941\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8873, 5, 0.1, 0?\nAnswer: -8873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 308, -28, 0.3, 62, 0?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250*w**5 - 49*w**4 + 164*w**2 + 188 wrt w?\nAnswer: -15000*w**2 - 1176*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4698.842ug?\nAnswer: 0.004698842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9295408 rounded to 1 decimal place?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21593 - -3?\nAnswer: -21590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/(1 - 12\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47 + -3 + 5 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 17943075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -5*n**4\/72 - 20*n**3\/9 + 95*n**2\/4 - 263*n. Factor f(c).\nAnswer: -5*(c - 3)*(c + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 12 = 0. Let g(p) = l*p**2 + 0*p**2 - p**2 + p**2. Let o(m) = -2*m. What is o(g(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/15 - (-17)\/5. Let w(v) = 14*v**2 - 2*v + 4. Let d be w(a). Suppose 0 = -8*u + 4*u + d. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 311141658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 76*p - 910. Let t be y(12). Solve -25 = -5*w - t*q - 10, 5*w - 2*q = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (7 + 0) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from ccctcccccccccttccccc?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8.1795 * 0.5\nAnswer: -4.08975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.453 - 34.447. Let a = -35 - b. Put -2\/3, a, 2 in increasing order.\nAnswer: -2\/3, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 5. Solve -2*v = c - r - 1, 4 = -4*v + 3*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -4. Calculate the common denominator of ((-3087)\/98)\/(-2 + (2 - 1)) + 6 and 1 - (-54)\/d - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 7 = -x - x, -3*x + u - 32 = 0. Let m be x\/(-15)*4*260\/6. Let g = 145 - m. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2378\/13329 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -5\/12*h**4 + 0*h**5 + 1\/10*h**6 + 0 + 0*h**3 + 0*h + 19*h**2. What is the second derivative of q(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7860*r + 2980. What is the tens digit of z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + -4. Let a = 5 - d. What is the remainder when 103 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**3 - d**2 + d. Let t(k) = 5*k**3 + k**2 - k. Let r(a) = 3*n(a) + 4*t(a). Let p(u) = -6*u**3 + 3*u**2 - 2*u. What is -p(j) + 2*r(j)?\nAnswer: 4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2282604 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.737 rounded to 1 dp?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 18*d = 16*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.3 and -42.801.\nAnswer: -49.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.15 (c) -1\/5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8\/2*(-1719)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 28 = l, 2*t + 23642*l - 11822*l + 52 = 11839*l - 36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159164607 to the nearest integer?\nAnswer: 12616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 3*b**2\/2 + b + 3. What is the derivative of k(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 592364623.\nAnswer: 53, 607, 18413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1016207 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8614862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 26 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7553*i - 558930. Give w(-74).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5184807 or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-292)\/75) + 210\/(-280). Let x = o - 1\/146. Let m(v) = v**2 - 5*v - 4. Let r be m(5). Which is the second biggest value? (a) r (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from ppppjppjjapy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -2*o - 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 872230.9440013 + -872231. Let a = 0.056 + w. What is a rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*v + 11970 = 214*v. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/5 + 3972*q**2 - 119332*q\/5 - 139188\/5.\nAnswer: 4*(q - 7)*(q + 1)*(q + 4971)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 2 - 0) + (-60)\/33 + 10.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - p - 99050 = 0, -7*p + 5*p - 59437 = -3*w. Does 30 divide w\/30 + (-15)\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115 - -115. Which is the closest to -0.1? (a) -0.3 (b) z (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 3*i**4 + i**4 + (24 - 53 + 16)*(5*i**4 - 4 + 4).\nAnswer: -63*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*u**3 - 388*u**3 + 777*u**3 + 5739*u**2.\nAnswer: u**3 + 5739*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - g + 35 = 0. Suppose g*w + 37 = -73. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.5 (c) -269 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 2 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 33 - f**2 + f**2 + 2*f**2 - f**2 - f. Does 9 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = o. Let g be ((-24)\/(-9))\/((-2)\/o). Let a be (1\/(-2))\/(18\/(-24)). What is the biggest value in g, a, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3382 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = x - 108, -5*x - 886439*b - 41 = -886442*b + 63 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 9:35 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 - -316. What is the third smallest value in c, 0.5, -2\/5, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 10:31 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 27 = 57. Let k(i) = 17*i**3 - i. Let t be k(-1). Let u be 2 - (t\/(-3))\/2. What is the nearest to -2\/7 in v, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4)**50)**(-19\/5)*(x**5\/(x*x\/x**(4\/5)))**(2\/11) assuming x is positive.\nAnswer: x**(-41762\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31204823 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4219\/4 + 1055. Solve 16*h + 12*h**2 + u*h**4 + 0 + 3*h**3 = 0 for h.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -969, -3893, -8767, -15591, -24365?\nAnswer: -35089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -27*o**3 - 11*o**2 - 18 + 10*o**2 - 17. Let v(r) = 26*r**3 + r**2 + 36. Let q(t) = 5*j(t) + 6*v(t). Differentiate q(w) wrt w.\nAnswer: 63*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**3 + 235*u**2 + 980*u - 2940 = 0. What is u?\nAnswer: -42, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*p**2*s - 238*p**2 + 18333*p*s wrt p?\nAnswer: 60*s - 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.446742 litres in millilitres?\nAnswer: 9446.742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 46\/3 + (-2)\/6. Suppose -t - 2*o - z = 2*t, 20 = -4*t + 3*o. Let c be ((-78)\/273)\/((-16)\/14). What is the smallest value in t, 3\/8, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4480 + ((-1180)\/140 - 6\/(-14)). Calculate the highest common divisor of 258 and f.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -9, -42, -109, -222, -393, -634?\n\"Answer: -2*a**3 + a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000207821077 to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-612)\/(-170))\/(1 + (-3)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 + 116. Suppose -3*d = 5*w + 9, w + 2*d = -3*d - 15. Does 17 divide w - (4 - (-1 - u))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2791090308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/36*2*1\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 32 = 2*p + 6*r, 0 = 5*p - r + 35. Let z(h) = h - 9. Let f be z(0). Let b = p - f. Solve b*c + 4 = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -j, 3*y - 35 = 5*j - 0*y. Let r(i) = i - 8. Let n be r(9). Put j, -5, n in descending order.\nAnswer: n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 26. Suppose -5*n - 9 + 34 = m. Suppose -n*o - 38 = -88. What is the greatest common factor of o and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)*i*i*i**6)**(-1\/74)\/(i**(-5)*i**(-1\/10)*(i\/i**0)**(-13)) assuming i is positive.\nAnswer: i**(73237\/4070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111111110001 (base 2) in base 10?\nAnswer: 81905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 + 22067*p**2 + p + 383801.\nAnswer: 6*p**2 + 44134*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70*(-62)\/(-1519)*7\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(75) + -1 + 4.\nAnswer: 3 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 172, 344, 516, 688, 860?\n\"Answer: 172*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + 25. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 11*t**2 + 28*t - 28. Let n be u(23). Solve -n = 2*w - 3*x, x - 22 = -5*w - 3*x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 4. Solve -4*p - 12 = -a + 2*a, 4*p + q*a + 8 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + a**2 - 2*a - 71. Let o be r(-5). Solve -3*h + 71 = o for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - 2*y - 3*y)*(-20 + 62 + 17)*(y**4 - 2*y**4 - y**4).\nAnswer: -236*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1110228562 divided by -3\nAnswer: -1110228562\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*q**2 - 33*q - 1 - 3*q**3 + 14*q - 1 + 22*q + 0*q**3 to j*q**2 + v*q + k*q**3 + p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, u: 1, n: 1, e: 2}. Give prob of sequence eu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*1*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/(1*sqrt(324)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 359966915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 1, e: 3, q: 2, l: 1, t: 3, j: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t = 95*t - 3*m + 8, 8 = t + 5*m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05222583 and -5223.\nAnswer: -5223.05222583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -21*y + 26*y. Suppose 0 = -96*s + 205 - 13. Which is the smallest value? (a) y (b) 1\/6 (c) 0.5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**4\/3 + 13796*d**3\/3 + 41360*d**2\/3 + 27568*d\/3 = 0 for d.\nAnswer: -3446, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.403 - -48.197. Let m = -44 + l. Let y = 4.2 - m. What is the second smallest value in -0.05, -0.1, 5\/3, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 minus 0.4775?\nAnswer: -0.1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-3))\/(2\/3). What is the units digit of (1 - 2) + z - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33091*d**2*u**3 + 84*d**2*u**2 - 215*d**2*u - 7*d**2 - 13*d*u**3 + u**3 + 2*u wrt u.\nAnswer: -198546*d**2 - 78*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36268*c**3 + c**2 + 10056*c + 1?\nAnswer: -217608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -61.046. Let g = j + 0.446. Which is the second smallest value? (a) 3 (b) 3\/2 (c) -6\/11 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.038714ml to litres.\nAnswer: 0.000038714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/(i*i*i**(-4\/11)\/i*i))*i)*i**(2\/7)\/i*i assuming i is positive.\nAnswer: i**(-104\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-15) - (-9)\/35. Let o = 4 + -4.2. Let d be 10\/(1400\/(-45)) + 9\/(-21). Put d, s, o in ascending order.\nAnswer: d, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152448.857 seconds to weeks.\nAnswer: 1.9055040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 2*s + 80 = 0, 2*z + s - 27 + 42 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 - y**4 + y**4 + (-67 + 2*y**3 + 67)*(-2*y**2 - 3*y**2 + 4*y**2).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.210570153 rounded to four decimal places?\nAnswer: -0.2106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 11*z - 8. Calculate g(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2551 = -95661*d + 95600*d - 11 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 14, t: 1}. Give prob of picking 2 w.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0.7. Let v = t - -1.8. What is the nearest to 2\/7 in v, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 - 78\/21. Let h be (j\/6)\/(3\/(-27)). Let m(v) = v - 2. Let z be m(h). Solve c + z*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k - 1. Let s be t(1). Is s + 1\/2*90 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b + a3?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:22 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.52 - -0.02. Let j = 0.798 - 5.798. Which is the third smallest value? (a) -7 (b) l (c) j (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -0.5 (c) -2 (d) 1 (e) -157 (f) -0.034 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 132*y - 519. Let n(h) = 930*h - 3635. Let q(l) = -15*c(l) + 2*n(l). What is the first derivative of q(w) wrt w?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + -13 + 185 + -156.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.3 (c) -15 (d) 4 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -112. Let v = u - 41. Let x = v + -29. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffofofhffffazooaf. Give prob of sequence oazz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3100400 by 33700.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3\/7 - 3876*p**2\/7 - 24012*p - 254772.\nAnswer: 4*(p - 1011)*(p + 21)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 1811966\nAnswer: -7247864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/50 and 73\/565650.\nAnswer: 565650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6842*a + 6844*a - 10 = 0. Let r(k) = k**3 - 5*k**2 - k - 1. Let x be r(7). Suppose 6*n = 4*n + x. What is the greatest common divisor of a and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2 - i + 5. Let u be 5*(0 - 29) - 0\/134. Let d = u - -152. Calculate the remainder when d is divided by x(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 238092 and 54840524.\nAnswer: 164521572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5 = -13. Is ((-8331)\/r)\/(10\/20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186215665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3 = -3*s, s + 3*m + 1 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/6*115570\/39 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.594 - 5.594. Which is the second smallest value? (a) 3\/64 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004277962 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 606507 + -2?\nAnswer: 606505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = 52*j - 104*j + 40*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -34\/7019425?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 5*l + 4. Let n(o) = -o + 2. Let i be n(-3). Let h be t(i). Suppose h*s = -0*s + 32. Calculate the remainder when 22 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -569*n**3 + 2*n + 568*n**3 + 10 + 68 + 78 + 3*n**4 to the form o*n**3 + r*n**2 + t*n**4 + k + s*n and give k.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17*q**7\/q)\/(q**(-7))**(-2\/21) assuming q is positive.\nAnswer: q**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 19*c - 22. Let s be b(-18). Let w be s + 3*(4 + -5). Let q(n) = -n**2 - 6*n + 3. Give q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -728 - -732. Suppose h*y + 8 + 4 = 0, 4*c = 2*y + 374. What is the remainder when 735 is divided by c?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 296 and -164.\nAnswer: -48544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by 504.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:17 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553772690 a multiple of 8709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**4 - 3*k**4 - k**4)*(k + 4*k - 3*k + (-1 - 2 + 0)*(0*k + 4*k - 6*k) + 2 + 2*k - 2 + 3*k + 2*k - 4*k).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 j when four letters picked without replacement from {y: 10, j: 4, u: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 7. Let a be (2\/s)\/(5\/10). Let j = a + -18\/5. Is j at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/504 and 137\/180.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 3)*(q**4 + 0*q**4 - 4*q**4) + q**4 - 4 + 5 - 3*q**4)*(1 - 5 + 1).\nAnswer: -12*q**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -25*w**3 - 17*w**2 + 14*w + 125. Let p(q) = 8*q**3 + 6*q**2 - 5*q - 42. Let k(g) = -6*i(g) - 17*p(g). Differentiate k(s) with respect to s.\nAnswer: 42*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + d - 3106 = -5*q, -4*d + 1228 = 2*q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from wpghp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**26*x)*(x\/(x**(-20)*x*x*x))\/x assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.1. Let r(u) = u**3 - u**2 - 14*u + 8. Let h be r(4). Suppose 266*c - 271*c - 15 = h. What is the second biggest value in 0.5, -4\/5, c, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (4 - 1)) + (-4 - -5) + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:55 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -164 - -1?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111000110000 (base 2) in base 5?\nAnswer: -1120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21 + 234\/10)\/(-2 + -5 + 4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506801647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -94*w**2 + 67*w + 2540. Let s(x) = 94*x**2 - 60*x - 2540. Let v(z) = 10*n(z) + 11*s(z). Differentiate v(q) with respect to q.\nAnswer: 188*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-15) + (-3)\/(-20))*(-22)\/(-66). Let k be 7\/((-119)\/(-2)) - 0. Let x = 2.6 - -0.4. Sort x, 4\/3, b, k in descending order.\nAnswer: x, 4\/3, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158798834 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2136115 and 1630?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34.57+-499262\nAnswer: -499296.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/32)\/(1\/72). Suppose i + 3 = 5. Suppose 7*t - 180 = i*t. Calculate the greatest common divisor of c and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.741ml in litres?\nAnswer: 0.230741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44390575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111001000001 (base 2) to base 11.\nAnswer: -8995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188501 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*x + 2*m, -2*x + m + 58 = 50 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 383*o - 658 + 62 - 598 - 428 + 318 with respect to o.\nAnswer: 383","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73659, -73610, -73535, -73434?\n\"Answer: 13*g**2 + 10*g - 73682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1*8)*1\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.811 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1751 - 406*t + 7103 + 147*t + 4*t**2 - 157*t + 5464.\nAnswer: 4*(t - 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585763 divided by 3?\nAnswer: 861921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*m = 40 + 278, 4*m = -3*t + 194. Which is smaller: t or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 407*x. Let r(k) = -17*k. Give 6*p(j) + 143*r(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 12. Let h(m) = m**2 - 5*m - 2. Let d be h(7). Let y be t(d). Solve 3*z = -5*f - 0*z, -f - 5*z = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05024+6.32971\nAnswer: 6.27947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*l + 5*k - 95, -5*l + 71 = -3*k. Calculate the least common multiple of l and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*o - 25*o + 10*o**2 - 87 + 14 - 20 - 87 + 5*o**3.\nAnswer: 5*(o - 4)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2. Suppose -29*r + 30*r = 4. Let s(z) be the second derivative of 0 + 6*z + 0*z**3 + 0*z**2 - 1\/12*z**r. Calculate v(s(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*t - 108 = -482*t. Let l = t + -35. Solve 3*y + n - 6 - l = 0, -3*y + 3*n = 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 220870281 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**5*h*h)*h\/h**(-24))**31 assuming h is positive.\nAnswer: h**868","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 18, 27, 50, 93, 162, 263, 402?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/16954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 3 (b) 1 (c) 148.2 (d) 21 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**3 + 4*w**2 + 4*w - 4. Let s(r) = -48*r**3 - 11*r**2 - 11*r + 11. Give -11*n(f) - 4*s(f).\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -634 + 698. Solve r = -94*j + 78*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z + 2, 3*m - 3*z - 21 = 0. Suppose -89 = -m*o - 19. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3 + 45*k**2 - 424*k = 0.\nAnswer: -53, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 385190*w**2 - 270689635*w + 47341612680.\nAnswer: 5*(w - 349)**2*(w + 77736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2, -1\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27.74? (a) 5 (b) -4 (c) 37 (d) 0.13 (e) 5\/4 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 140282168 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/10)\/4*((-95)\/(-266)*-7)\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 373655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + g - 0*g + 62, 121 = 2*p - 5*g. Let q be (-2)\/9 + 266\/p. Solve -s - 4 = -6, -4 = 4*d + q*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 5:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 309*s + 8. Let q be j(8). Let c = q + -1593. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2666592 and 113\/39006.\nAnswer: 29332512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6654029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15301, -30615, -45929, -61243?\nAnswer: -76557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2 + 5*d - 1. Let r be x(2). Let h = -12 - r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 29*w**7\/21 + w**6\/30 - w**3\/6 - 37*w**2\/2 - 23*w. What is the second derivative of f(j) wrt j?\nAnswer: 1160*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/10*(-45)\/27. Suppose 0 = 2*r + 2*g + 2 - 4, -1 = -4*r - g. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 11*o + 1. Let h be r(-4). Suppose 5*d - 3*n - 46 = 0, -3*n - 9 = d - h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**4 + 813*q**3 + 12516*q**2 + 6747*q - 69966 = 0. Calculate q.\nAnswer: -13, -3, 2, 299\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 506*a - 504*a + 5*w - 19, 4*a + 2*w - 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.6. Let b = 31.95 + -34.95. What is the fourth smallest value in 3, -2\/5, b, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -2\/85 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*i = -12*i + 2172, -3*x = -5*i - 1589. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 244 + -1224\/5. Let h = -372 - -648. Let t = -278 + h. Which is the second smallest value? (a) t (b) 2\/7 (c) -3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760\/1757 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4442nm in meters?\nAnswer: 0.0000000074442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/1*(-15)\/30. Suppose -4*d + 4 = -o*d. What is the second derivative of -4*n**5 + 9*n - d + 4 + 2*n**5 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2 + 22 = 0, -s = -2*x - 12. Suppose 0 = 3*k + s - 20. Suppose -938 - 136 = -k*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 29 (c) 4 (d) -94 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Suppose -c = 2*g - 1, 2*c + g + 0*g = 5. Let b(h) = -5 + c*h + 6 + h. Calculate b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2094 and 22\/5654149.\nAnswer: 33924894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 12. Suppose 0 = -3*q + 5*f + 124, -j*f - 100 = 5*q - 282. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -12. Solve 3*z = -6, 5*c = 4*z + z + s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312096007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.45 - 0.2?\nAnswer: 3.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1486*k + 2960*k + 7 - 1472*k. Calculate l(-18).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594569 is divided by 265585?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-20 - (-18 + 9)) - 72.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (294\/4)\/7*(-6292)\/(-33). Suppose -31*b + f = -18*b. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 100*k**2 - 6*k - 11*k + 24*k - 4*k - 96*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/8, -3, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*w + 9. Suppose w*f - 17 = 47. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/231 and -55\/1696212?\nAnswer: 18658332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31720 + 31734. Solve x*g = 10*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + s + 0 + (-3 + 1 - 2)*(-s + 3*s - 8*s) - s + 5*s - 3*s + 4*s - 2*s - s + (s + 0*s + 0*s)*(4 + 0 - 2) + 0*s + 6*s - 4*s + s + 3*s - 3*s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 131985*c = -131981*c - 12, 54 = -8*h - 7*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Let k be (0\/3)\/(4 - 2). Let m be (32 - k) + (-1 - -1). What is the greatest common factor of s and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 21*s**3 - 530*s**2 + 125*s - 1. Let w be x(25). Put 5, 0.5, 0.048, w in ascending order.\nAnswer: w, 0.048, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((13 - 11) + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 122 = 2*t + 5*m, 5*m - 52 - 69 = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25488 - -25487.9. What is the nearest to 0.2 in -4, -11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1) + (-8 - 0). Let v = q + 20. Solve 5*b + 3*u + 14 = 0, -2*b + 3*u - 3 = v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25802.\nAnswer: 2, 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 13 - 25 = 0. Let p(y) = -58*y + 2 + 4 + 66*y - 10*y**2 + s*y**3 - 3*y**3. Give p(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 3*y - 3. Let j be i(-4). Let v = j + -27. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**(-2\/7)*q)\/(((q*q*q*q**(-3\/2)*q)\/q)\/q)*q**(-2\/17)*q*q**2)\/((q**1*q)\/(q**(1\/10)\/q)*((q\/q**(1\/3))\/q)**(9\/2)) assuming q is positive.\nAnswer: q**(6269\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19584070, 19584053, 19584034, 19584013?\nAnswer: 19583990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4544)\/(-30) - 2*(-3)\/15. Let d = 152 - f. Solve 0 - 4\/15*t**4 + 2\/15*t + 4\/15*t**2 + 0*t**3 - d*t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 7*q + 1)*(-12*q - 2 + 14*q + 9) to the form c*q + x + a*q**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1024\/4689 - -2\/521. What is the second smallest value in -4, a, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/21540 and -23\/7180.\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5833*f - 5815. Suppose 3*c - 1145 - 1115 = -4*u, c = 3*u - 1708. Calculate the least common multiple of u and y(-1).\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, o: 1, n: 3, c: 1}. Give prob of sequence ohnc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*z = 61*z - 569 - 15. Solve -4*j = z*q + 2 - 14, -q - 27 = -5*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*j**5 + 11*j**4 - 263*j**2 + 3.\nAnswer: -1860*j**2 + 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5))**(1\/8)\/(z*z**8*z\/(z**(1\/7)\/z)))**(-9) assuming z is positive.\nAnswer: z**(27171\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1895\/7 - -3032007\/11200. Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 52.\nAnswer: -5, -4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3881b4 (base 16) to base 10.\nAnswer: -3703220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 2*q**2 - q**4)*(-3 + 4 + 4) + (-6 - 6 - 11)*(-q**4 - q**4 + 0*q**4) in the form d*q**3 + a*q + m*q**2 + t*q**4 + y and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*10*(-34 + 4240\/120).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00033039 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*g**5 - 2*g**3 + 3*g + 8?\nAnswer: 380*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -274\/9 + 30. Find the common denominator of (4 - 6)\/(22\/(-54)) and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(86 - 86 + 88*j)*(-5*j + 4*j - j) to k + l*j + d*j**2 and give d.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*j = 68, -16*s + 11*s + 21*j + 356 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 divided by -5635?\nAnswer: -241\/5635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*y + 3*o, 6*o - 1 = 5*y + 2*o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65704\/602)\/191*(-14)\/516?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 17, -2 in descending order.\nAnswer: 17, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -40*j**2 + 907*j + 907. What is a(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 - -240. Let h = n - 66. Let b be (-3 + 333\/h)*4. Calculate the greatest common divisor of 84 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 19 + (2 - (16 - 10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 50 = 9*j. Let y = j + -3. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-2\/33)*k**(-3)\/((k*k**(-2\/9)\/k*k*k*k)\/k) assuming k is positive.\nAnswer: k**(-455\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*y**2\/11 + 26*y\/11 + 8\/11.\nAnswer: 2*(y + 1)*(9*y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -f. Let a = f - 1. Let i(d) = d**2 + 2 - d**3 - 4*d**2 + a*d**2 + 6*d. What is i(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -12. Let t(d) = -d**2 - 8*d + 1. Does 13 divide t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89797 is divided by 2040?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -7, -3, -1, 1020, -12 in increasing order.\nAnswer: -12, -7, -6, -3, -1, 1020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 265*k + 35911. Give x(-136).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17624648 divided by 2.\nAnswer: -8812324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 75. Let a(g) = 4*g + 63. Let w be a(35). Let v = w + l. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.7 - 16.7. Let l be (-22)\/6 + (-2)\/6. Let m = 0.16 - 0.06. What is the closest to l in -1\/12, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.66 from 5.237951714.\nAnswer: 5.897951714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1530 and 82\/746895?\nAnswer: 4481370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55459.\nAnswer: 31, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 5}. Give prob of picking 2 v.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(2\/9)*u))\/(u\/u**(-6)*u))\/(u*u*u**2*u*u**(1\/5)))\/(u**(6\/11)\/((u**(-5)\/u)\/u))**33 assuming u is positive.\nAnswer: u**(-11809\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lruwjwr. Give prob of sequence wj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 46 = -4. Let y be (-55)\/(-99)*(-3)\/j. Which is the closest to -2\/23? (a) -1\/5 (b) -6 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from {z: 1, c: 1, v: 2, q: 6, p: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a**2 - a. Let r(u) = -4*u**3 + 2*u**2 - 2*u. Let g = -4 - -2. Suppose 7*p - 3 = 4*p. Determine g*c(x) + p*r(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1.52, 7, -0.3 in increasing order.\nAnswer: -4, -1.52, -0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1076705.\nAnswer: 5, 7, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + (-1 - -1). Find the second derivative of -2*x - x + x**5 + l*x**5 + 4*x wrt x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**5 - 7*p + 8. Find the first derivative of g(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + (sqrt(88) - (sqrt(88) - -2*sqrt(88)))))\/(sqrt(8)*-6).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-39 + -43) - 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 96\/880*11*-1\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*v + 3 = 0, -2*h + h = 4*v. Let i be -3 + (h\/8)\/((-3)\/4). Is 4642\/55*i\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33\/13 + 197\/52. Let k = 55417\/4683 - 1\/3122. What is the common denominator of j and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10477*v - 521 with respect to v.\nAnswer: 10477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-11))\/(96\/(-88))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14319312 by -4773104.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - 9\/(-6). Let x be (12\/u)\/(-1) + 3. Sort x, -1, 2 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-143)*(-18)\/36?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 3*f + 8*c - 686, 5*f + c = 1165. Let o = f - 22. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r - 5. Let q(v) = -v + 1. Let h(a) = -6*q(a) - z(a). Let y be h(-6). Let s = 26 + y. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100010010110011 (base 2) to base 10\nAnswer: 17587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)*n\/n**(-1\/11))\/(n**(-1)\/n)**(-3\/14)*(n**(4\/7)\/(n*n**7*n))\/(n*n**(1\/4)*n*n)**(9\/11) assuming n is positive.\nAnswer: n**(-297\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*k - 67215 - 197230 + 19595 = 0. Calculate the highest common divisor of 400 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 40 + 6*a + 1\/2*a**2. Suppose -3*l - 13 = 5. Calculate m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1) - 2)\/((-7)\/168). Suppose 0 = -6*x - m + 6. Sort x, 2, 5.\nAnswer: x, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5621586 times -0.05?\nAnswer: 281079.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1209*y - 39. Let s(n) = n + 1. Let h(x) = -k(x) - 26*s(x). Let p be h(-4). Suppose -9047 = -8*q + p. What is q rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -264 (b) -204 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**4\/20 - 6*b**3\/5 + 19*b**2\/10 + 34. What is n in u(n) = 0?\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2129613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and -48.\nAnswer: 6720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13686706\/79 - 173252. Let p = z + 11211\/1264. What is the common denominator of 47\/8 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2 + (-20 - 407\/(-111)*3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by -53.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/24 and 67\/198816.\nAnswer: 198816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2776229253.\nAnswer: 3, 7, 43, 337, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i - 12, 24 = 4*f + 3*i. Suppose x - 306 = -3*x + r, -f*x - 4*r + 220 = 0. Calculate the highest common divisor of x and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 756 and 7236?\nAnswer: 50652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a5c1 (base 13) to base 4.\nAnswer: -2003013232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -4 (c) 1 (d) 4 (e) -3 (f) 3.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w = 4 + 55 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:37 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 69786223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4367*y + 994*y + 239507 - 30397 - 21475 = 0 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-30))\/(-1)*32*60\/(-3840)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38 (b) -0.3 (c) -1\/2 (d) 302 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z + 2*z**2 + 2*z**3 - 11 + 11 + (1 + 4 - 3)*(-z**3 + 4*z**3 - 2*z**3) + 0 + 2*z**3 + 0 - z**3 + z**3 + 2*z**3.\nAnswer: 8*z**3 + 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 12*d - 14. Let t(m) = -18*m - 3. Let j be t(-2). Let n = j - 8. What is the remainder when n is divided by f(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*c**2 + 2*c**3 - 242*c**2 + 2*c**3 + 1227*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 2*s - 10, -4*a + s = -18 + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.9, -3\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -227.019 or -52.6?\nAnswer: -52.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0 - 1\/8*w**4 - 1\/2*w**3 + 2*w**2 - 2*w. Let u(a) = 2*a. Give u(y(f)).\nAnswer: -6*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 45. Let y = -9 + x. Find the common denominator of ((-34)\/y)\/(4\/2) and -41\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + h**3 - 3*h**3)*(-6 + 2 + 0)*((-3 + 1 + 0)*(2 + 2 + 0) + 0 - 1 + 0).\nAnswer: -108*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5782027377692 and -0.08.\nAnswer: 1.4982027377692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13743 - 13742.9. What is the fourth smallest value in k, 1, 4, -2\/13, 0.309?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -86*b. Let t(o) = 4*o**2. Calculate t(l(d)).\nAnswer: 29584*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -20. Let r be -1*(-1)\/1 + w. Solve 0 = 3*d + 6 - r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 50 = 54 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2\/9 + 41156*a\/9 + 845432\/3 = 0. What is a?\nAnswer: -10227, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -9000 + -0.2983715691\nAnswer: -9000.2983715691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 180*r - 875. Determine t(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180007 or 180006?\nAnswer: 180007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 101. Let m be k(22). Let d = -77 - m. Solve -d*p + 2*l + 25 - 9 = 0, 2*p = -3*l + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815985603 is divided by 2627.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -29, 4, 211, 670, 1459?\n\"Answer: 13*b**3 + 9*b**2 - 85*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 2\/5*f - 4\/5*f**2 + 2\/5*f**3.\nAnswer: 2*(f - 2)*(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 24*r - 14. Let u be m(16). Suppose 5*z - 304 = -2*o, -7*z + 3*o = -5*z - u. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/5 - 7\/(-5). What is the nearest to 0 in -2\/7, 5, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101941 is divided by 251?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*o - 29 + 16. Calculate the highest common divisor of 3492 and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:07 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 38 (b) 2 (c) -3 (d) -51 (e) -2 (f) -19\/2 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y - 5, -j + 17 = -3*y. Suppose -76*r + 740 = -56*r. Calculate the remainder when r is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 19. Which is the third biggest value? (a) 1 (b) -3\/8 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18826, -0.5, -1\/4, -3, -5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 22. Calculate the greatest common factor of z and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 927.48 + -711.5. Let r = k + -216. Which is the nearest to 2? (a) 3 (b) -1\/8 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2)*(1 - 5 + 0)*(5 - 5 + 2*p**4) + 7*p**4 + 4 - 4 to the form o + v*p**3 + y*p**2 + h*p + n*p**4 and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4*x - 5*d**4 - 12*d**3*x**3 + 5*d**2*x**2 + 2*d**2 - x**3 wrt d?\nAnswer: -48*d*x - 120*d - 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 30*d - 55. Let i(g) = -23. Give i(h) + r(h).\nAnswer: 30*h - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**3\/3 - 7*v**2\/2 - 6*v - 65. What is n(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1. Let t(z) = -z**3 - 6*z**2 + 7*z - 3. Let b(m) = -2*g(m) - t(m). Let s(v) = v**3 - 8*v**2 - 88*v + 49. Let x be s(14). Give b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41955*o**4 - 442824?\nAnswer: -167820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-40)*(-37)\/3. Let g = n + -91\/15. Which is the nearest to -2\/3? (a) -1\/7 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 1023054*d**2 - 14323197*d - 50131704.\nAnswer: 3*(d - 341032)*(d + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 5 = 8*j, 4*j = -4*q + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(99) + 0).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/132*(-12)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14642 + -10?\nAnswer: -14652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*i + 4*j, -i = 3*j - 77 + 65 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -120 and -117 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 28*f = -66. Let s be (f + 1)*(-5)\/10. Solve -7*w = -3*w + s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 5*i, 3*i + 2*j = -0*i + 2. Suppose -12 - i = -7*k. Suppose u + k*f = 50, -70 = -u - f - 16. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16961 is divided by 790?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**3 - 3*d**2 + 4*d + 7. Let z(n) = -7*n**3 + 4*n**2 - 5*n - 8. Suppose -4*j - 27 = -5*u + 4, -j + 5 = 3*u. Give j*z(t) - 5*m(t).\nAnswer: -2*t**3 - t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*m = 3*i - 30, -5*i = 3*m. Let k be 5\/4*(-8)\/(-20). Let o = 203 + -202.8. Which is the closest to 0? (a) i (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/7 + 28*y**2 + 4600*y\/7 - 10000\/7 = 0. Calculate y.\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 4*l**2 - 2*l - 1. Let r be g(2). Suppose r*m + 2*m - b - 59 = 0, 4*b - 6 = -2*m. Let c = -1 + m. Solve -2*d + 4*d = -c, 3*a - 19 = 5*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*u + 4*w, 55*u + 3*w + 3 = 51*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -265, -269, -275, -283?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/112)\/(45\/(-1368))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -186\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/12 - 35\/(-15). Solve -i*o - 3*b + 23 = -0*o, 5*o = 5*b - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 23020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/21, 1\/52, 0.1, 62\/67 in descending order.\nAnswer: 62\/67, 0.1, 1\/52, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-35)*h*h**(-3\/26))**(-33\/4) assuming h is positive.\nAnswer: h**(28413\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3718\/(-572))\/((-2)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*o - 1386 = -340*o. Suppose 7 - o = -17*i. What is the remainder when 82 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43142050 rounded to the nearest ten thousand?\nAnswer: -43140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7204*l*m**2 + 39*l*m - 9*l - 33*m**2 + 533286 wrt m.\nAnswer: 14408*l*m + 39*l - 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646650 (base 7) in base 4?\nAnswer: 1301231310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(13)))**2 + sqrt(13) + ((sqrt(39) + sqrt(39) + sqrt(234)\/sqrt(6))\/sqrt(3))**2.\nAnswer: 101*sqrt(13) + 542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8514 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 - c. Let v be o(1). Find the third derivative of s**v - 2*s**6 + s**2 + 2*s**4 - 2*s**4 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -802419 - -11521322. Suppose -16*u + 45118903 = a. What is u rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496239.1ml in litres?\nAnswer: 496.2391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(63)*-1*-1)**2*-2.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 70\/15)*0 - (-6)\/57?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 4*v**2 + 2*v - 8. Let i be (-1)\/(4\/(-2*8)). Let n be m(i). Let r = 6 + -11. What is the closest to 2 in n, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + w**2 - 3. Let x be b(-2). What is the highest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 487 (c) 0.3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (-464)\/(-87)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**7\/630 - b**6\/180 + b**5\/60 + 7*b**2 - 30. Let i(u) be the second derivative of q(u). Suppose i(k) = 0. Calculate k.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12)*(6\/(-4))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 4*z**2 - 2*z + 4. Let i be u(-5). Let n = i - 23. Let f = 102 + -78. What is the highest common divisor of f and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 + 22. Let l = -20 - z. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -13, 46, 141, 278, 463, 702?\n\"Answer: l**3 + 9*l**2 - 5*l - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(24\/(-214))*-4. Suppose 0 = -6*w + l + 337. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.150637ml to litres.\nAnswer: 0.002150637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 2. Let s(k) = -k**2 + 2. Let u be s(2). What is the remainder when -4 - -38*4\/8 is divided by v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 416 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 724*o**3*x**3 - 2*o**3*x**2 + 47034*o**3*x + o*x**2 + 3*o*x + 1491*x**5 wrt x?\nAnswer: 4344*o**3 + 89460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*l**2 + 6*l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i - 69*i + 36 = 0. Suppose 0 = i*c + 3*x - 9, 5*c - 3 - 6 = x. Let s(u) = -u**3 + 4*u**2 - 3*u + 1. What is s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -7 + 3. Suppose h - n*z = z + 61, 209 = 5*h - z. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 4*x**3 - 2*x**3)*(-3 + 4 - 5) - 9*x**3 + 5*x**3 - 2*x**3 - 2*x.\nAnswer: -2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 (base 4) in base 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591615.\nAnswer: 5, 13, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 496, 498, 500, 502, 504?\n\"Answer: 2*v + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, g: 2, r: 1, p: 1, l: 1}. What is prob of sequence mm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 391*z - 112*z - 3817 + 469 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15823*j*w + 459896*w wrt j?\nAnswer: -15823*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-3) - 1)\/(-1). Solve 0 = -4*r + f*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -461, -0.3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-126)*(-4)\/(-6). Let l be 5*(-4)\/(-20) + (1 - 22). Suppose 4 = 66*u - 70*u. What is the nearest to u in l, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5808845 by 2.\nAnswer: -5808845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31703250 (base 8) to base 7\nAnswer: -111445260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/4, -3\/5, 5, -1\/32, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.789 + 539.789. Let r = v - 535. Let n = 0.3 - 0. Which is the nearest to -1\/3? (a) 0 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(-160*m - 86 + 165 - 81).\nAnswer: 320*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -67. Suppose a*v - 10*v = -2814. What is v rounded to the nearest ten?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -374873, -374873, -374865, -374843, -374801, -374733, -374633, -374495?\n\"Answer: o**3 - 2*o**2 - o - 374871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41\/2 + -21. Let s = 58 - 288\/5. Which is the nearest to m? (a) -5 (b) 9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-14 - (5 - 16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 3 + -1)\/8. Solve w = 2*t - 3 - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(153) - 1*sqrt(153)) + -2*sqrt(153)*-1)\/(-3*sqrt(63)\/(sqrt(7) + (sqrt(7) - 1*sqrt(175)))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 22*y + 748. Let g(f) = -f. Determine m(g(v)).\nAnswer: -22*v + 748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccpccccc. What is prob of picking 2 c?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 781 - 1316. Let c = 5 - g. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*n = -12, 5*h = 2*n - 0*n - 6. Let v(b) be the second derivative of -1\/6*b**4 + h + 2*b + 0*b**3 + 0*b**2. Let r(l) = -6*l. What is r(v(d))?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-45) + (-11)\/9. Let m be y\/(-7) - (-25135)\/63. Let n = m - 3656\/9. What is the common denominator of 29 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.33 + -2.33. What is the third smallest value in -2\/11, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.25962 times -17?\nAnswer: -106.41354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/176 and -20\/77.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 + 156. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201762?\nAnswer: 2, 47, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -50 - (-2 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5811*c + 191754. Calculate h(33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3\/5 + 14*p**2\/5 - 8696*p\/5 + 1736 = 0 for p.\nAnswer: -70, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122211 - -10112?\nAnswer: -112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (12 + -6 - 8). Sort -1586, -3, i, -2.\nAnswer: -1586, -3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 + (-98 - -54) + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8107.7 rounded to the nearest one hundred?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 0 - (11 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 + 83. Let t = 60 + n. Let y be (-3)\/(-3) + -8*t. Put y, -3, -2 in descending order.\nAnswer: -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122339343471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 9529662 and 9529665 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))\/(x\/x**(1\/4)))\/(x*x\/(x*x**7*x*x*x)*x*x**2) assuming x is positive.\nAnswer: x**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5442 = 3*b, 4*b + 4*x = x + 7221. Suppose 0 = -j - 2*h + 1159, 3*j - b - 1684 = 2*h. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21724, 19548, 17372, 15196, 13020?\nAnswer: 10844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttzittpzeztdztpedtpz. What is prob of sequence zp?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 224819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8225?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4*p - 1. Let u be s(-5). Suppose 5*k + 343 = u*z, k + 401 = 5*z + 4*k. Let r = -44 + z. What is the remainder when r is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*b**2*r + 6*b**2 + 2*b*r - 38651*b - 7437350*r wrt b.\nAnswer: 14*b*r + 12*b + 2*r - 38651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 1. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256672?\nAnswer: 2, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f - 20 = 0. Suppose 4*i - 4*n = 13 + 3, 32 = 5*i + n. Let d = i - f. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - c - 1889998, 3*x + x = 5*c - 2520010. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/19 + 276*(-160)\/(-3648)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 190.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/5)\/3 + 0. Let w = -38952 - -38931. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119235793*i*j**2 + i*j - 29806524*i - j wrt j.\nAnswer: 238471586*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 47*g**6\/30 - g**5\/10 - 121*g**2\/2 - 16*g + 2. What is the first derivative of q(w) wrt w?\nAnswer: 188*w**3 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/((-1)\/(-12)). Suppose j + 20 = m*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8. Let s be (1\/(-1))\/(2*2\/(-4)). Sort -5, s, l.\nAnswer: -5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 7080 = -4*y - 302*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -4*g + 22. Let u = 4 - 1. Calculate the least common multiple of g and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 6*j + 3. Let a(w) = w - 7. Let r be a(4). Let f(p) = 6*p. Calculate the least common multiple of f(1) and d(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 + 0*f**2 - f**2 + 5 - 5 + (-4*f + 4*f - 2*f)*(-2*f + 4*f + 0*f))*(-10 + 2 + 2).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3145 + -21277. Calculate the common denominator of 4\/(-26) + x\/2808 and 4 - -13*5\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/147*-30)\/(6*(-44)\/1848).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 19*d**2 + 36*d - 62. Let s be n(20). Which is bigger: s or 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 2*i - i, 0 = -z + 3*i - 4. Let p be (z\/(-24))\/((-7)\/14). Let g = 1231 - 1230. Which is the closest to g? (a) 3 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1564, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -341\nAnswer: -3\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/12 - y**3\/6 + y**2\/2 + y. Let f(o) = 3*o**2 + 2*o - 2. Let w(v) = 2*v - 25. Let i be w(12). What is i*f(u) - 2*r(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/19)\/v*v**(-14\/9)*v*v assuming v is positive.\nAnswer: v**(-104\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320967 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017083676 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 10*r**2 - 11*r - 36. Calculate the remainder when l(7) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 7.149409.\nAnswer: 14.149409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 376112425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j - 1. Let p(v) = -11*v + 1. Give -5*o(m) - 3*p(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5391.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10)\/((-57)\/(-3990)). Sort 0.3, -0.05, v.\nAnswer: -0.05, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**6\/15 - v**5\/2 - 7*v**4\/6 - v**3 + 16*v + 3. Let r(y) be the first derivative of m(y). Find p such that r(p) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggpgpgp. Give prob of picking 1 p and 1 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 692 = 4*w - g, 0 = 3*w - g - 423. Calculate the greatest common divisor of w and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*w + 154*w - 2*b - 9065340 = 0, 3*w - 4*b = 6799025. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 4, 2\/11, 194\/19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4241 (base 5) in base 6?\nAnswer: -2351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (9 - 14) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31767516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/180*(-558)\/(-8). Is l less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 596*b - 75 - b**2 + b**3 - 341 - 1107*b + 607*b wrt b?\nAnswer: 3*b**2 - 2*b + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/40 and -21\/85.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/9 and 111\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-1 - 0 - (-7 - 2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2 - 3. Let t = 1.6 + -1. Let g = -1 + t. Sort c, g, 5.\nAnswer: c, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 1038210792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 11 = -14. Let c = p + 8. Suppose c*u = 5*z - 190, 5*u + 176 + 14 = 5*z. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -198 - 9*f**2 + 198 as i + k*f + u*f**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 10*u - 8*u)*(2*u - 4*u + 12*u)*(-16 - 5 + 4)*(-1 - 1 + 1).\nAnswer: -2210*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-600)\/(-4550))\/((-104)\/(-169)))\/(-12).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 137. Suppose -i*l + 90*l = -24. Suppose -r = -0*r - 13. Calculate the remainder when r is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 771*v\/2 + 765.\nAnswer: 3*(v + 2)*(v + 255)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -774862 (base 10) to base 16\nAnswer: -bd2ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1)\/(-5)*7 + 845937\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68\/14279 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 33658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 46. Let u be (-82)\/(-7) - (-6)\/p. Suppose u = b - 10. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 + 9*s**2\/2 - s - 1. Is j(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212 + 466. List the prime factors of t.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23538 is divided by 78.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 1. Let a(s) = -18*s - 4. Determine -a(p) - 4*u(p).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47161 (base 10) in base 16?\nAnswer: b839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(1 + -4). Suppose 3*c + 2*l = 2*c - j, -l + 5 = 2*c. What is the units digit of (-14)\/c*-1*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*n + x - 2*x - 8 - 24, 16*n - 3*x - 166 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33078 and 1110.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3*c = 9, -5*c = 5*l - 2*l - 5*l - 2*c - 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3124*q**5\/3 - 25549*q**4\/3 + 5650*q**3 + 147740*q**2\/3 - 26744*q\/3 - 32 = 0. Calculate q.\nAnswer: -2, -1\/284, 2\/11, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012451 to five dps.\nAnswer: -0.00125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 177539 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -424 (base 7) in base 12?\nAnswer: -15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o = -16. Let k be (-2 + o)*(-45)\/(-2). Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -280. Suppose n = 5*i - 3*z, -4*i - z = 2*z - 175. Let o = i + -4. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65662.12 litres?\nAnswer: 65662120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1694 and 237072?\nAnswer: -401599968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3392187 milligrams?\nAnswer: 339218.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**12*v)\/(v*v**5\/v*v))\/(v**12\/(v\/(v*v\/(v*v**(-3\/8))))) assuming v is positive.\nAnswer: v**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.03 and 27061556 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 195?\nAnswer: -195.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 140*d**4 + 10625*d**2\/2 + 380*d + 1. Differentiate z(x) with respect to x.\nAnswer: 3360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165804, 166955, 168872, 171555?\n\"Answer: 383*f**2 + 2*f + 165419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6254 + 6251. Let r be (-3)\/(-9) - 52\/(-24). Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0212*-0.3.\nAnswer: -0.00636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5837118 decades to years.\nAnswer: 5.837118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -204516 divided by -46\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 590\/261 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vveyvjyvfjvvvvvvy. Give prob of sequence eyjf.\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 973 divided by 675\nAnswer: 973\/675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 < -3603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(49) - 1*sqrt(784))\/(sqrt(63)*-1))**2 + -2*(3 + ((-1 + sqrt(7))*-4 - (sqrt(7) + (sqrt(77) + sqrt(77)*1)\/sqrt(11) + sqrt(7))))**2.\nAnswer: -989 + 224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69528587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.1 + 13. Is t >= -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77) - sqrt(77)*2) + sqrt(77))\/(sqrt(825)\/sqrt(3)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 438.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 40) + 24 - -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.1000273 - 49.1. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-2\/127)*z*z\/((z**23\/z)\/z)*z*z)**14 assuming z is positive.\nAnswer: z**(-24920\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 665 + 674 + 0*f. Let q be r(2). Solve q*z - 11*z + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-1) - (-4 + 8 + 9). Do -5 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**4\/24 + i**3\/2 - 11*i**2. Let s(w) = -1. Let h = -35 + 36. Let r(d) = d + 8. Let o be r(-7). Determine h*f(j) + o*s(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 8 + 8 + (1620*a**2 - 3886*a**2 + 1707*a**2)*(2 + 0 - 1)*(2*a**2 + 5*a**2 - 5*a**2).\nAnswer: -1120*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 5. Let o be n(7). Let j = 1 - 1. Let d = -7 + 5. Put j, o, d in increasing order.\nAnswer: d, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 11) in base 15?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c**2 - 3*c**2 + 11*c**2 - 2*c**2 - 7*c**3 to v*c**3 + y*c**2 + p*c + u and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 16*w**4 - w**2 - 28*w + 1\/60*w**6 + 4\/5*w**5 + 512\/3*w**3 + 0. Determine t so that q(t) = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25041752083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - 0.11. Let n = 0.71 + w. Which is the closest to 0? (a) -4 (b) 8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, -3\/7, -84, -0.1 in ascending order.\nAnswer: -84, -1, -3\/7, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 233438729 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 + 3*j - 5. Let y be ((-16)\/12)\/(1\/(-3)). Let b be q(y). Solve -2*c = 3*x + b, 4*c = x - 27 + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/36 + (-20)\/(-12) - 327\/(-218). Determine m, given that -45*m - t*m**3 - 69\/2*m**2 + 27\/2 = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*d - 20, -4 = 8*d - 7*d. Let g be (-6)\/27 - (-137)\/9. Let n = 11 - g. Put -5, c, n, -2 in ascending order.\nAnswer: -5, n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -84\/11, -3\/10, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**3\/3 - 6*i**2 - 6*i - 2. Let h be r(-11). Solve 0 = 3*g + h*f - 19, g - 3*g - f = -8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.9 (c) 1962 (d) 0.5 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/180*12*72477?\nAnswer: 3, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -208, -215, -224, -235, -248, -263?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1294983 in ascending order.\nAnswer: -1294983, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*165435365\nAnswer: -16543536.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.62 - -0.12. Let o = q - -3. Let l = 58020 - 58019.6. What is the closest to -0.3 in l, 1, o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 divide 19648980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6330 to the nearest 100.\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120130.\nAnswer: 2, 5, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 4 = 7. Let v = 7962\/1771 - 104\/23. Which is smaller: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 8:10 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1216, -2773, -5048, -8401, -13192?\nAnswer: -19781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00361243 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -41. Solve m = -0*m + p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3117183, -6234374, -9351571, -12468774, -15585983, -18703198, -21820419?\nAnswer: -24937646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*x**2*y - 2571*x**2 - 7*x*y + x - 1963*y wrt x.\nAnswer: -8*y - 5142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (365 - 365 - 18*y)*(-3*y - 2*y + 3*y) + (-3*y**2 + 2*y**2 + 0*y**2)*(-39 + 12 - 53) to the form d*y**2 + i + n*y and give d.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/(-24))\/((-1)\/3). Let g(n) = -n**3 + 13*n**2 - 6 - 9 - n - c*n - n. Is g(12) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -130, -204, -278, -352, -426?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.07 + -7. Let u = i - -1.93. Let x = -20\/13 - -206\/117. Which is the nearest to 3? (a) x (b) u (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + 3. Let c(k) = -13*k**2 - 223*k - 31. Let q be c(-17). Let w(s) = -11*s - 4. Give q*w(a) + 4*f(a).\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w - 869 - 6763. What is the remainder when w is divided by 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17548256 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -419 - -930. Let v = a + -486.3. Let o = 24.7000147 - v. What is o rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129 by 4493152.\nAnswer: 129\/4493152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 113?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.3 + 7. Let g = -0.2 + 4.2. Let i = 3 - g. Which is the closest to -0.1? (a) n (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1800)*1*3)\/(6*(sqrt(36)\/(sqrt(60)\/sqrt(10)) + sqrt(6) - sqrt(6))).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 11*w - 2. Let h be k(12). Let f be 14\/(-10) + h\/25. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**3\/4 + 415*t**2\/4 + 2470*t + 12635 = 0?\nAnswer: -38, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*t - 45*t + 130 = -28*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*k + 225 = 0, k - 111 - 108 = -4*u. Let y(a) = a - 35. Let i be y(6). Let d = i + u. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from figlifff. Give prob of sequence ig.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*x**2 + 5*b**2*x - 3*b**2 - 4*b - x**2 - 2*x + 224 wrt b.\nAnswer: -2*b*x**2 + 10*b*x - 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 6741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 639.9 + -639.8. What is the closest to -4 in -7, 0, 0.2, j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 212 = 4*j. Let w = j - -97. What is the remainder when w is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*t + 1 - 1.\nAnswer: 134*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v - 206. Let h be r(-30). Solve 0 = i - 2, 2*d - 10 = d - h*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5737830749 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14527 - 5701. List the prime factors of k.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3377 to three decimal places.\nAnswer: -0.338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1626 - -697. Suppose -x - q = 3*t, -2*t + 4 = 6. What is x rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 10*w + 29. Calculate the smallest common multiple of f(12) and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82 and 4018.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**3\/4 - 1351885*s**2\/4 + 13518941*s\/4 - 12167055\/4 = 0.\nAnswer: -1351895, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:01 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2799 is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199959981 is divided by 833?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, d: 3, l: 3}. What is prob of picking 3 g and 1 d?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 132?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 325840.69 rounded to the nearest 100?\nAnswer: 325800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 89.4\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300*n**3 + 4*n**2 - 8*n - 30.\nAnswer: -1800*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15760*c**3 - 31509*c**3 + 15748*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 15. Let p be v(-7). Let r(m) = m + 2. Let h be r(-2). Suppose -c - k = -p, 0 = -2*c - k - h + 20. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -671 - 2413?\nAnswer: -3084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 77*d**5\/5 - d**4\/12 - 77*d**3\/3 + 835*d**2. Differentiate b(y) wrt y.\nAnswer: 1848*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -27. Suppose 11*j - 16*j + 13*j = 0. Is f < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 2. Let r be l(-6). Let f be r*1\/4*2. What is the closest to -1\/3 in -0.3, 0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddepeppep. Give prob of picking 3 e and 1 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*a**3 + 35*a**3 - 18*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 38 - 22. Let u(b) = 388*b**3 - b**2 + b + 1. What is the hundreds digit of u(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79143995 to the power of 1\/2, to the nearest integer?\nAnswer: 8896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9, 1, 45, 141, 307, 561, 921?\n\"Answer: 3*l**3 - l**2 - 8*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 29*n**2 - 41*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.019297 millimeters?\nAnswer: 0.001019297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109 - 107 - 269)*(3*m + 0*m - m) to the form t + d*m and give d.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79710454 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033 (base 5) in base 9?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 265*k + 3807. Calculate a(-15).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -859942, -859945, -859958, -859987, -860038, -860117, -860230, -860383?\n\"Answer: -r**3 + r**2 + r - 859943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 215*s**4\/4 - 98*s + 319. What is the first derivative of i(n) wrt n?\nAnswer: 645*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.811239416 to 4 decimal places.\nAnswer: 0.8112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3417*c**4*z**2 + 20*c**2*z**2 + z**2 - 7*z + 32 with respect to c.\nAnswer: -13668*c**3*z**2 + 40*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649205.\nAnswer: 5, 129841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 962*l = 966*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 352*o**3 + 3*o**2 + 3*o + 1. Calculate h(-1).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 a when three letters picked without replacement from {a: 1, n: 3, j: 4, u: 2, t: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 7, 4, 1, -2, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37286 + 16*x**2 - 37286 - 2*x**2 - 5*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 9*i**2 - i + 11. Suppose t - 5*t + 36 = 0. Let y be k(t). What is the second derivative of -2*h**4 - 8*h**4 - 3*h + y*h**4 wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) -0.4 (c) 11\/9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151140 - 5?\nAnswer: 151131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154\/29 - 197\/261. Calculate the common denominator of b and -41\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 + 11*o + 23. Is x(-6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673935, -673924, -673891, -673824, -673711, -673540, -673299?\nAnswer: -672976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -1)\/(-3)*-5. Suppose n = -3*n - y + 43, 4*n + k*y - 23 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**2. Let k(b) be the third derivative of 0*b**3 - 35*b**2 + 0*b + 0 - 11\/24*b**4. Calculate k(y(a)).\nAnswer: 110*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from uksfokfsksfskk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 - 67776*i - 5 + 2 + 67763*i)*(-4 + 2 - 10 - 2 + 0 + 0 + (1 - 5 + 2)*(5 - 1 - 2) + 0 - 2 + 0 - 2 + 0 + 0 - 2 + 6 + 0).\nAnswer: 108*i**2 + 234*i + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3, -4\/493?\nAnswer: -4\/493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-246)\/(-48) - 4)\/(3\/2). Factor 3\/4*o**2 + x*o**4 - 1\/2 + 7\/4*o**3 - 3\/4*o.\nAnswer: (o + 1)**3*(3*o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (261870\/(-42))\/43*(-37)\/(-37)?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*n + 507 = -4*x, -5*n - 241 = 2*x. Round x to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -12*z**4 - 82928*z**3 - 1213948*z**2 - 1734552*z + 22343040 = 0?\nAnswer: -6896, -9, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31.19. Let h = 0.39 - q. What is the nearest to 0.1 in 5, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495*g - 7487 = -804*g + 17194 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -9. Let p be 2\/10 - j\/(-20). Let m(z) = z**3 - 3*z**2 - 4*z + 2. Let h be m(4). Are h and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490395168 divided by 59746.\nAnswer: -8208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -3 (c) 7\/5 (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*z = -163*z - 90 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 4, n: 15}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*u**2 - i**3*u - i**3 - 5*i*u**3 - 2*i*u - u**3 wrt u.\nAnswer: -2*i**3 - 30*i*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 37 - 17 = 0. Suppose -u*l + 7*l + 20 = 0. Calculate the smallest common multiple of (0 - 2)\/(2\/(-16)) and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by (-475)\/190*((-748)\/70 - (-12)\/42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -5\/2, -8\/3, 28, 0.2, 0, -1.7?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27505 and 0.04.\nAnswer: -0.011002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13852 is divided by 243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 203 = -4*v - 65, 5*g - 3*v - 410 = 0. What are the prime factors of g?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -6195\/1286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (287\/(-56) + (3 + 2)\/5)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95792190 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19045418417.7703 - -19044266792. Let c = z + 1151677. Let i = -51.2 + c. What is i rounded to 3 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + -0.96. Let x = -13 + 18. Let q = -5.4 + 0.4. What is the closest to y in x, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8346 is divided by 2765.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/2736*72\/(-60).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)*1 + sqrt(220))*4)\/(1*sqrt(405) - (sqrt(30)\/(sqrt(24)\/sqrt(4)) + sqrt(5))) + 3 + 2.\nAnswer: 5 + 16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 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: What are the prime factors of 18414?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -882800, -882785, -882736, -882635, -882464, -882205, -881840?\nAnswer: -881351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 - 13*t - 52*t**2 + 3 + 42*t**2 wrt t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*8\/(-28)*1. Which is the third smallest value? (a) 4\/7 (b) 0.5 (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p = -8*p - 104*p + 65 + 229 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q - 38. Suppose -86 = i - 95. Let k be g(i). Suppose -38*r = -k*r + 75. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125? (a) -1 (b) -11.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -2.\nAnswer: -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-20) + (-34)\/(-10). Let b(p) be the first derivative of -1\/9*p**h + 0*p - 1 + 0*p**2. What is l in b(l) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.209736 minus 0.028?\nAnswer: -1.237736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264870 and 7479.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-6)*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -139*s**2 - 21112*s + 2436. Give t(-152).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -49. Let c(t) = -37. Let r(l) = 4*c(l) - 3*k(l). Let j(p) = -p - 6. Give -3*j(f) + 21*r(f).\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3377544 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**5\/150 - 133*f**4\/20 - 457*f**2 + f. Solve y(q) = 0.\nAnswer: -399, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -752) + (-2 - -3). Suppose -u = -4*f + 303. Calculate the highest common factor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.96 - -732.1\nAnswer: 753.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -331, -707, -1131, -1603, -2123?\n\"Answer: -24*v**2 - 304*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 49*f**2 - 17*f**3 + 13*f**3.\nAnswer: -4*f**3 + 65*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/14*(-4)\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*x - 4 = 0, -3*x = -0*x + 6. Suppose -2 = a*b - 5*b. Suppose -3*m = -l + 15, -1 = -b*l + m + 44. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 (base 9) in base 14?\nAnswer: 21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/4)\/(-4 + (-195)\/(-50)). Let j be (-33)\/k - (2\/6 + 0). Factor 0*u + 0 + 4\/5*u**3 - j*u**2.\nAnswer: 2*u**2*(2*u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6952 divided by -118?\nAnswer: -3476\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.593, -0.3, -0.1, 1, 0.05, -3 in decreasing order.\nAnswer: 1, 0.593, 0.05, -0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(-12)*w)\/w)*w\/(w*w**(2\/13))*w)\/(w**(-1)\/w**(2\/3)) assuming w is positive.\nAnswer: w**(566\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 244.0456l?\nAnswer: 244045.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3158223\/950 + 6649\/2. Find the common denominator of 44\/855 and v.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -11*h - 1512. Let p = h - -124. Find the second derivative of 21*c**2 - 41*c - p*c**2 + 9*c**2 + 18*c**2 wrt c.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**2 - 73*k**2 - 185*k**2 + (-4*k + 2*k + 0*k)*(4 + k - 4).\nAnswer: -267*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122054\/33 + 3699. Let s be -1 - (-3 + 331\/165). Let o = s - r. Which is smaller: o or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 487.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 254c - -3b43?\nAnswer: 6190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3632081 is divided by 2171?\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*h + 38. Let g(s) = -6*s**2 - 21*s + 13. Let u be g(h). Let b = u + 59473\/63. Is -1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 + (-72)\/75). Suppose 0 = 2*h - z - 53, 88 + k = 5*h + 4*z. Let s(f) = -23 + 5*f - 2*f + h. Give s(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**4\/4 + 3010*h. Let r(p) = 154*p**2 + p. Calculate d(r(t)).\nAnswer: 71148*t**4 + 924*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -4, g - 18 = -y. Suppose 5*o + 10 = 0, -4*o + y = 2*i - 21. Let m = -13 + i. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/q**5*(q*q*q\/(q*q**(-4\/7)))\/q**(-6))**(2\/13) assuming q is positive.\nAnswer: q**(50\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -0.14 (c) -1 (d) 2 (e) 19 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5397 or 4158?\nAnswer: 5397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*m**3 + 58*m**3 - m**4 - 1 + 2*m**4 to i*m**2 + j*m**4 + d*m + z*m**3 + b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158 (base 9) to base 3.\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let t be 6\/v*(-30)\/(-9). Let i(u) = -5 + t - 2*u. Let b(n) = -2*n. Calculate b(i(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*f + 25*f - 3 + 44 - 8*f as d*f + l and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 4*j + 3*j - 4*j + 0*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvs when three letters picked without replacement from ffcvscvffcfvvcvvf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1837 = -3*y + 2*v, -3*v + 4 = 19. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:14 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 0.21112342.\nAnswer: 0.11112342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 - 10*f. Let g(n) be the second derivative of -n**4\/12 + 130*n. Calculate a(g(k)).\nAnswer: -3*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1108 + 4525\/4. Calculate the common denominator of w and -1 - 33\/(-4) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 990\/994 - (4 - 3). Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 9*l**2 - 2*l + 6. Suppose -3*j + 9 = -4*j. Let k be b(j). Let m = 29 - k. Solve -m*h - 3*t = -0*t + 28, 3*t + 13 = -2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.34873 + -6.63.\nAnswer: -3.28127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/7 + 226*t**3\/7 - 883*t**2\/7 - 1110*t\/7 = 0. Calculate t.\nAnswer: -1, 0, 5, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1285468 + -3.059\nAnswer: -3.1875468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.59 - 21.6. Let b = g + 0.06. What is b rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8411484 minutes in seconds?\nAnswer: 50.468904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041312 - 4?\nAnswer: -3.958688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5*z)\/z**1*(z\/z**(-4)*z)\/z*z*z**(-1)*(z**(1\/4))**(-9)\/(z**(-2\/9)\/(z\/(z*((z\/z**(2\/9))\/z)\/z))) assuming z is positive.\nAnswer: z**(367\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1.7264?\nAnswer: -10.7264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5118066 is divided by 1270?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -19701634\nAnswer: -5\/19701634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = 0, -19 = -a - b + 2. Let x = 31 - a. Suppose -w - 5*s = 3, -5*w - 4*s - x = -3*s. Is w <= -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/30026310 and 19\/12424680?\nAnswer: 360315720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*f. Let o = f - -34. Calculate the remainder when o is divided by 896\/48 + -1 + (-4)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20113.1 + -21385. Let d = 1220 + l. Let m = -51.9000211 - d. What is m rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + 0\/3 - 3. Let f(k) = a*k**2 + 2 - 6*k**2 - k - 2. Calculate f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 14. Let l(c) = -c**3 + 9*c**2 - 10*c + 4. Let b be l(8). Let s = b - -24. Let h be g(s). Sort h, -2\/7, 5 in decreasing order.\nAnswer: 5, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 12 + 9. Suppose 5*d - u = 2. Solve -d = -t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -438 + 437.6. Let v = -16 + 20.6. Let c = 2.6 - v. Put c, -12, s, 3 in increasing order.\nAnswer: -12, c, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -3*g + 4059. Suppose -r = -z - 341, 3*r + 5*z - g = -472. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + 6, -c + 6 = 2*p. Suppose -4*k + r + r + 16 = 0, -3*k - 3*r + 12 = c. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14144352 (base 8) to base 11\nAnswer: 1894091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.5 (c) -8 (d) -1\/4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 1 - -4)*-19. Let v = i - -31. Let b be ((-8)\/v)\/(14\/6). Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1772.134*-11.\nAnswer: 19493.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76283262?\nAnswer: 2, 3, 11, 167, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than -2966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*f + 6973 - 4939 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 6*p**2 - p - 7. Let q = -6 + 11. Let t be d(q). Suppose -2*h - t = -3*h. Calculate the remainder when h is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86 + -86.0078. What is d rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**6\/10 + 11*d**3\/6 - 3*d**2. What is the derivative of z(x) wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - ((-1 - 1) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3793773 and 5307.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*p**3 - 572*p**3 + 201*p**3 + 118*p**3.\nAnswer: -59*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 less than 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 1 + 6 + 3*o - 4*o. Let h be r(-5). Is h bigger than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5334*i**2 + 12 + 13 - 27 + 2.\nAnswer: -5334*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 75 = 61. Which is the third smallest value? (a) 4 (b) 2.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4277 rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -1320, -2966, -5270?\nAnswer: -8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/247691 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2308 and 2310 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 + 5*a**3 - 13*a**2\/2 - 17*a + 293. Calculate h(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 24. Let v be k(-17). Suppose 5*d = 25, -h - 2*d + 6*d - 21 = 0. What is the least common multiple of v\/1 + h + 3 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 70 - 125\/4*n**4 + 5*n**2 + 0*n + 25\/3*n**3. Factor r(a).\nAnswer: -5*a*(5*a - 2)*(5*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8319.0031328 + -8319. Round a to 5 dps.\nAnswer: 0.00313","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 18)*1 - 3. What is the greatest common divisor of j and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 67, -0.3, -5, 2 in increasing order.\nAnswer: -5, -0.4, -0.3, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19436915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = -2*h. What is the units digit of (-43)\/(2\/(h\/2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyiiiiy. Give prob of picking 1 i and 3 y.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 + -26.3. Let y = 26 + o. Let v be 4\/(-6)*(-10)\/(80\/(-12)). What is the third biggest value in y, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000117047 rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 14*c = -1125. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 2\/9, -0.05, 1\/7, 6?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3437769, -6875491, -10313213?\n\"Answer: -3437722*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5}. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 10. Suppose 20 = 5*p, -q*w = w + 5*p + 10. What is the tens digit of (-8 + 2)*w\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/9 - (-2)\/3. Suppose 0 = l*m - 5*r - 407 + 43, -5*m + 550 = 3*r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8329383, -8329382, -8329379, -8329374, -8329367?\nAnswer: -8329358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x + 24 = -47*x. Suppose 0 = -2*u - x*w + 30, w = 2*u - 4*u + 30. Solve 2*c = -2*y + y - 7, 3*y = -4*c - u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4*f + 58 - 114 + 64 = 0, z = -4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 8:37 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 5:38 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 8106.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - m = -3*m + 70, 0 = -3*v + 3*m + 228. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2*x**2 - 3*x**2 - x**2) + ((-3*x + 4*x - 2*x)*(4 - 2 + 0) - 3 + 3*x + 3)*(-5 - 1 + 4)*(-26*x + 53*x + 22*x).\nAnswer: -102*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9500 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 11*n = -3*b + 60420, -4*n - 12 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1572, 12555, 42346, 100347, 195960, 338587, 537630?\n\"Answer: 1567*l**3 + 2*l**2 + 8*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/30*(-113 - -83).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 14. Suppose -43 = 4*x - 9*x + 4*z, 0 = 5*z - 15. Let q be k(x). Solve q*g - 12 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -2. Let a = -0.55 - -5.85. Let c = 5 - a. Sort 3, u, c in descending order.\nAnswer: 3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 26 + 91 + 4*d + 15 to the form l*d + p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0650463 rounded to 4 dps?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.0582 - 0.2418. Let z = 141 + o. Let u = 8.4 - z. What is u rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 244, 127, -36, -245?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1128)\/(-1316) - (-15)\/7 - (-10)\/(-6)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**8\/7 + 5*b**4\/12 + 16*b - 10. Let n(q) be the first derivative of w(q). What is the third derivative of n(k) wrt k?\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3808 + -3806. Let s(i) be the second derivative of 0 + 10*i - i**4 - 2*i**t - 1\/5*i**5 - 2*i**3. Let s(q) = 0. Calculate q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 14\/(-13)) + 1242*(-18)\/(-1404).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 6.1368533?\nAnswer: -9.1368533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 12*h + 15. Let a be l(10). Suppose 0 = -0*o - 2*o + 10. What is the highest common factor of o and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 45150314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -258, -700, -1434, -2466, -3802, -5448?\n\"Answer: -w**3 - 140*w**2 - 15*w - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**5\/40 - g**3\/6 + 5*g. Let v(y) be the second derivative of o(y). Let a(q) = -2*q. Determine a(v(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, b: 1, d: 2, t: 2}. Give prob of picking 1 b and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from {h: 6, n: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 301 and 0.2.\nAnswer: 301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870\/(-105651)*15155\/15 - -37?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 171 and -52?\nAnswer: -8892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - c - 12, -3*x - 3 = -6*x - 2*c. Suppose -t = -f + x*t + 17, 4*t - 70 = -2*f. Is f greater than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + -1 + 3 + 0 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2063 + 250*h - 2070 + 4134 + 321*h to the form u + p*h and give p.\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1594 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 116?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -170291, -340609, -510931, -681257, -851587, -1021921?\n\"Answer: -2*w**2 - 170312*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1627 from -46009.\nAnswer: -46008.8373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {d: 2, s: 3, b: 7, y: 3, k: 1, r: 2}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24666, -24642, -24618, -24594, -24570, -24546?\n\"Answer: 24*u - 24690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 20, 115, 318, 665, 1192, 1935?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*r + 4*d - 321, r - 5*d - 41 = 0. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -1031*r**4\/4 - 3*r**2\/2 - 8829*r - 3753. Differentiate i(o) wrt o.\nAnswer: -3093*o**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -619756 smaller than -619607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.89 - -3688765011.\nAnswer: 3688765010.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66 + -42. Let u(f) = 13*f - 102. Let x be u(8). Suppose -x*r - 3*a + 15 = -62, -5*r = 3*a - 197. What is the highest common factor of r and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:52 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326*z**4 + 19*z - 3?\nAnswer: -3912*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5198941739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(-2))*13*37\/481?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71630 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52665.\nAnswer: 3, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13702, 55118, 124142, 220774, 345014, 496862?\n\"Answer: 13804*l**2 + 4*l - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2453749 to two dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108567321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 2*x**2 - 6*x - 8. Let o be a(-2). Let s(n) = 1. Let u(b) = -3*b + 3. Let g(j) = -6*s(j) - 2*u(j). Does 10 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-39)*2\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (2 + 0)*-8. Suppose c = 2*c - m. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 6*a. Let o be f(7). Suppose -3*x + 5*x = -5*b + o, 0 = -2*x - 8. What is the greatest common factor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 7*z**2 - 4*z - 5. Suppose 0 = -d - 2*l - 2, -4*d + 3 = 3*l + 21. Let k be (d - 1)*1 - 1. Is r(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5\/120 - o**4\/12 - o**3\/3 + 5. Let s(a) be the third derivative of m(a). Let f = 5 + -1. Determine s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -10) + 13 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/4 + 17*k**3\/6 + 17*k**2\/2 - 8*k. Let z(c) = c**2 - 6*c - 6. Give 6*r(o) + 17*z(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 262, 528, 794, 1060?\n\"Answer: 266*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 66 (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u + 1. Let j be q(0). Let y(p) = -p**2 - 5*p - 4. Let i be y(-3). Suppose i*c = 6*c. Sort c, 2, j in ascending order.\nAnswer: c, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(208) + 1))**2.\nAnswer: 288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6007800?\nAnswer: 2, 3, 5, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(99) + -2)*3 - -4*(0 + sqrt(99))*6)**2.\nAnswer: 1296*sqrt(11) + 32217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 191 + -143. What is the common denominator of -4\/3 and (16\/z)\/(7\/(-31))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -54. Suppose r = 4*r - 18. What is the lowest common multiple of o and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 8 + -5)*(181 + -178).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -39621.5.\nAnswer: -39621.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2 - 5*z - 4. Let o be k(-4). Let p = 157 + o. Let t = p + 158. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccxcxvcc. What is prob of picking 3 c?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - (4 + 3) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1720*v**3 + 1744*v**2 - 454*v + 6.\nAnswer: -2*(2*v - 1)**2*(215*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: How many litres are there in 500958.9 millilitres?\nAnswer: 500.9589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10352 (base 7) in base 5?\nAnswer: -40320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 82 in increasing order.\nAnswer: -4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 28 + 76 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -1\/15*g**7 + 1\/6*g**4 + 0*g**3 - 11\/30*g**5 + 0*g + 0 + 4\/15*g**6 - g**2. Factor d(n).\nAnswer: -2*n*(n - 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59173 (base 10) to base 16.\nAnswer: -e725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61776949 rounded to 2 decimal places?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*u + 4, 6 = 17*a - 20*a - 4*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 45*v + 15. Let o(r) = 44*r + 16. Let u(n) = 3*d(n) - 4*o(n). Let t be u(-6). Suppose t = 3*s + 2*g - 7*g, s = -2*g + 94. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.13 + 0.23. Let y = 11 + x. Which is the nearest to y? (a) 2\/3 (b) 2 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18687579 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6*-1*(-6)\/4. What is i in -6\/5*i**v + 8\/5*i + 2\/5*i**4 + 8\/5 - 4\/5*i**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 230872761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15129*l**3 + 9097 wrt l.\nAnswer: 45387*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9. Let y = -185 + 191. Let k be y\/(1 - 13) - (-23)\/(-10). Which is the third smallest value? (a) -3\/2 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {k: 2, s: 5, i: 1, j: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 65 - 2*k**3 + 126 + 0*k**3 + 22*k.\nAnswer: -2*k**3 + 22*k + 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-690) - (-5)\/((-150)\/(-56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24728015?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 2:48 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/989 and 65\/69?\nAnswer: 2967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-4)\/(-45)*((-270)\/(-12))\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 808628 times 5?\nAnswer: 4043140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.44 + 0.06. Let x = 2 - z. Let m be (-3)\/7*(-11)\/(-33). Which is the nearest to 0.1? (a) -0.2 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 204\/9 - (-2)\/(-3). Let o(x) = -3*x**2 + 3. Let w(u) = 45*u**2 - 45. Let m(f) = -11*f**2 + 11. Let h(s) = 26*m(s) + 6*w(s). Determine c*o(y) - 4*h(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84.56 + 84. Let m = s + 1.56. Which is the nearest to 1\/3? (a) m (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 9:58 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1336435.7 to the nearest ten thousand.\nAnswer: -1340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 302*q + 9 + 79*q to y + m*q and give m.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b3b701 (base 12) to base 4\nAnswer: 22300110301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from pscsswjwwcscwcsj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9060741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 - 109 = -10*a. Let r = a - -31. Solve -4*p = -5*p, -5*f - 10 = -r*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + -313694918.\nAnswer: -313694918.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/9 (b) 2\/19 (c) 0.02 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 + 14 = 0. Let a be 2\/(z\/(-25)) + 1\/(-2). Solve -2*c - a = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 u when two letters picked without replacement from {g: 3, p: 3, u: 5, h: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*(sqrt(208) + sqrt(13))*-4*-3 + (-1*((sqrt(104) - 1*sqrt(104)) + sqrt(104)))\/((2*sqrt(56))\/sqrt(7))).\nAnswer: -717*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123, 102, 75, 48, 27, 18, 27?\n\"Answer: h**3 - 9*h**2 - h + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*c**4 + 17*c**2 + 8883 wrt c.\nAnswer: 140*c**3 + 34*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010 - -12110002220?\nAnswer: 12110012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-8) + 3\/2. Suppose -5*p = 5*q - 3605, -o*p + 4*p - 2 = 0. Suppose 5*t - 4*t - q = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 + 477*a - 907*a + 430*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 849 + -367. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2)*(2 + -1). Let d(v) = -v**3 - 10*v**2 - 9*v + 2. Let m be d(-9). What is the third derivative of -i**2 + 2*i**f + m*i**5 + 0*i**5 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 187*f**3 + 5*f**2. Let z(y) = -21504*y**3 - 576*y**2. Calculate -576*w(n) - 5*z(n).\nAnswer: -192*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 55927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6675*k - 6686*k = 88 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 724 - 5883\/8. Let u = -48635 - -244522\/5. Let s = u + -7657\/30. Find the common denominator of y and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 23. Let i = 79 + -101. Let d be k(i). What is the greatest common divisor of 720 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 156\/(-546)*4\/(44\/5313)?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}