diff --git "a/data/dm_maths/full_data/222_11255.jsonl" "b/data/dm_maths/full_data/222_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/222_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 7, what is 13435540 - 10?\nAnswer: 13435530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/45463 and -19\/30987?\nAnswer: 128069271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 5*i + 4*o, 2849 = 3*i + 3*o + 2912. Solve 27\/5*p - 54\/5 - 1\/5*p**3 + 0*p**i = 0 for p.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*f**3 + 133*f**2 - 299*f + 24 = 0. Calculate f.\nAnswer: 1\/12, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbbblbbbbbbohblb. What is prob of sequence ol?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 26*p + 120. Let j be v(4). Let g(a) = 14*a - 2. Let c be g(-1). Let x = -14 - c. Solve 2*s = -j + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -42. Let c = -22 - -36. Let v be 396\/c + 4\/(-14). What is the highest common factor of n and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 131 + 180 + 0*f - 2*f.\nAnswer: -2*f + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -521 and -521 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + v - 12, 169*j - 178*j - v = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1867, -1859, -1851, -1843, -1835?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 94 (c) 0.2 (d) -1\/3 (e) -1 (f) 375 (g) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 34 = 3*r, 0 = 2*r + 2*k + 7 - 23. Solve -2*o + 3*i + 9 = r*o, 3*i = 3*o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -2 (c) 2\/5 (d) -0.4 (e) 0.159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**14*a)\/a)\/a)**49\/(a*a**32*a**(-14)*a) assuming a is positive.\nAnswer: a**666","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15077402 divided by -17\nAnswer: 886906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -19, -24, -29, -34, -39?\n\"Answer: -5*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0, -0.3, 17, 0.1 in increasing order.\nAnswer: -0.3, 0, 0.1, 2\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -267. Suppose -2*v - g + 15 = 5, -v - 3*g + 5 = 0. Suppose -k = -3*l - h + 2*h, 2*h - 128 = -v*l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 13*m - 11. Suppose -c + 160 = m*d, -2*d - 5*c = -c - 154. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -94. Let k(r) = -r**2 - 6*r - 5. Give k(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 + -0.2. Let d = -997 - -999. What is the nearest to d in u, -2, 31?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, -2, -5, -8.\nAnswer: -8, -5, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 184, 4, 2\/39, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 + 672*z - 95472 = 0. Calculate z.\nAnswer: 204, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/303 - 592\/2121. Sort -11, 5, 0, z in descending order.\nAnswer: 5, 0, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n + 4523 = -845. Let v be (-12)\/((2\/4)\/(-1)). Let f = v - n. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 3 (c) -0.3 (d) 0.2 (e) 2\/15 (f) 458\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**(1\/2))*s**(-13)\/s*(s**(-1\/5))**(-37))**(-12) assuming s is positive.\nAnswer: s**(366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22756*i**6 - 3843*i**3 - 38825101*i**2 wrt i.\nAnswer: -2730720*i**3 - 23058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*m = 6*m - 52, 3*k + 2*m = 50. Let p be -1 + (2 - 3) - -11. Calculate the remainder when (-3)\/p + 616\/21 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -500.1464 + 500. What is d rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*t + 4*t - 15*t**4 - t**6 + 11*t - 12*t**2 wrt t.\nAnswer: -120*t**3 - 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*(b**(-6\/5)*b*b)\/b)*b)\/b**1)**(-38) assuming b is positive.\nAnswer: b**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, -32 in descending order.\nAnswer: -3, -20, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 90?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m - 42 = -44*m. Suppose 20 = 3*u + m. Suppose -2*z + 2 = -56. Solve 4*v - 6 = 3*y + z, v = -u*y - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 6749441288?\nAnswer: -6749441288.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11696238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 - n**2\/2 + 5*n + 3. Give a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(272) - (sqrt(272) - (sqrt(272) + -1))) + -2 + sqrt(272)*-2 + 2 + 5 + -1 + sqrt(272) + 2 + sqrt(272))*3)**2.\nAnswer: 480*sqrt(17) + 2848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l + 8. Let n(k) = -k. Let i(q) = -3*n(q) - r(q). Let w be i(-6). What is the common denominator of -85\/2 and (196\/(-20))\/((-16)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**5 - 78*o**3 - 482*o**2 + 1172427*o?\nAnswer: 100*o**3 - 468*o - 964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h**(2\/9))\/h*h*h)\/h**(-1))\/(h**(6\/13)*(h\/(h\/(h**(-13)*h)*h*h))\/h) assuming h is positive.\nAnswer: h**(2195\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i*p**4 - 2*i*p**3 - 3*i*p**2 + 2*i - 177 wrt p.\nAnswer: 36*i*p**3 - 6*i*p**2 - 6*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 450424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpl when four letters picked without replacement from lllqggqpbqqq.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -22*p - 3. What is the units digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjaaavsvwasjwajaaj. Give prob of picking 2 a and 1 j.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 13. Let x(j) = -j**2 + 22*j + 25. Let f be x(23). Suppose k - 15 = -f*k. What is the highest common factor of w and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - -0.246?\nAnswer: 82.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32*101911\nAnswer: 3261152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(-4*(-4)\/120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -218. Let r = -0.2 + 0. Let f = -0.1 - r. Which is the biggest value? (a) 5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 27*o**2 - 37*o + 259. What is v(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266 + 259. Let m = 1 - 2. Is x <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 1512*g**2 - 14822*g - 988. Give j(-494).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 28. Let t be (5 - 2) + (4 - 3). Suppose -d + t*d = 0. Sort -4, d, s.\nAnswer: -4, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (21 - (30 + -40)) + 2 + -2 + -76.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23629*w - 12668*w - 10962*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 7:08 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8275 + -61.0175. Let q = -62 - p. Let g = -0.1 - q. Round g to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96104 is divided by 154.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 508\/3887?\nAnswer: 508\/3887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 1 (c) 45 (d) -2\/5 (e) -0.7 (f) 248\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 21*f - 109. What is l(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9922*q - 158900. Determine g(-16).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 289 - 339 = 0. Let j be 162\/q - 9\/(-15). Calculate the highest common factor of j and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, 77, -42, 4, -5 in increasing order.\nAnswer: -80, -42, -5, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**9\/1260 - 37*o**6\/360 + o**5\/12 - 72*o**2. Let y(l) be the third derivative of r(l). Differentiate y(t) wrt t.\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -706803*k - 4947633. What is b(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36502 (b) -1\/2 (c) 6\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 11:55 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -119?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 196102.29 and -0.5.\nAnswer: -98051.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639*t = -786*t + 559776. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 8*v**2 - 4. Let g be j(7). Suppose 0*i + 5*i = g. Calculate the smallest common multiple of 8 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2295 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 5*(2*3*sqrt(700) - (-2 + (-1*sqrt(700) - sqrt(700)))) + 3)**2.\nAnswer: -4480400 - 32000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11059977*-0.09.\nAnswer: 995397.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.26, -0.203 in decreasing order.\nAnswer: 22, -0.203, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11479\/((-6)\/120*-5) + 0. List the prime factors of (w\/(-130))\/(4\/(-10)).\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewmzzgggmzi. What is prob of sequence mwm?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 56 in 2\/9, 33, -0.5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5538 from 6.\nAnswer: -5532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 less than -424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1215)*-2 - -1*2*sqrt(1215))\/((sqrt(5) - (sqrt(105)\/sqrt(7))\/sqrt(3)) + sqrt(5) + sqrt(5) + sqrt(125)*5).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = x, 2*p + 0*p = 0. Let w = 1 + x. Calculate the greatest common divisor of w and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584\/544 - 1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/35? (a) 0.1 (b) -1 (c) -42373.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-530686)\/(-29484) - 18)\/((-8)\/66) and 5\/63.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 303837.\nAnswer: -1\/303837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (2 - -9 - 1). Let x(r) = r**3 - 8*r**2 - 7*r + 16. Does 17 divide x(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 26*f - 25*f, 0 = -4*g + f + 19. Suppose -5*t - 2*n = 9 + 3, -g*t = -n + 20. Sort -5, -8, 0, t in decreasing order.\nAnswer: 0, t, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -57*w. Solve 2*o + 4 = -2*p, w = -2*o - 3*o + 3*p - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 - 1206*y - 7065. Determine m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*j + 754 - 754 as b*j + l and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40140 - -3?\nAnswer: -40132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 - 277 = -6*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -96. List the prime factors of (2 - -176) + (-6 - v).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3400\/(-476))\/(-5) - 558\/(-21)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1314, -2623, -3930, -5235, -6538, -7839?\nAnswer: -9138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 0 - sqrt(19))*6 - (sqrt(1539) + -3 + -1 + sqrt(1539)))**2.\nAnswer: 288*sqrt(19) + 24640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200509.313509 - 0.2.\nAnswer: -200509.513509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*r - 524*r - 249*r + 185*r - 188*r.\nAnswer: -1053*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*5*(-10)\/20. Let v(b) = -7*b - 2. Let d(y) = 3*y + 1. Let i(c) = 9*d(c) + 4*v(c). Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Let l = i - 3. Let o be ((-1)\/(-4))\/(-2 - -1). Is l at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-3)\/42)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 6*z + 5. Let h(m) = m**3 + 7*m + 6. Give 5*h(w) - 6*j(w).\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78711783?\nAnswer: 3, 149, 176089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5146645 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*18105\/(-426)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 3\/5*x**6 - 8\/3*x**3 + 0*x**4 + 9*x + 0 + 0*x**5 + 0*x**2. What is the second derivative of i(v) wrt v?\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*x - 835 = -1656 + 7527 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(180)*5)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z = 44*z + 360 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 2. Let d = -193 - -191. Let n(y) = -y - 1. Let v(q) = d*n(q) - h(q). Let f(c) = c**2 + 2*c**2 - 2*c**2. Calculate v(f(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 219 + 397*m**2 - 127 - 395*m**2.\nAnswer: 2*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-2)\/((-2)\/(-5)). Let i be d\/6*-1*9. Suppose -i = -j + 2. What is j rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8886450*j + 8886300*j + 2100 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -613 at least as big as -283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 10*d - 10*d - 63 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48381143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 + 5)\/((-1)\/11). Suppose m - a + 41 = 0. Let y = 46 + m. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a factor of 1613647650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 20. Let g be (-70)\/4*48\/(-10). Suppose 2*d = -d + g. Solve 5*i - d = i - 4*y, -p*y + 18 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1821.3652 to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(3600) + sqrt(3600) - sqrt(3600))\/((sqrt(12) + sqrt(12)*1)*-2) + -5)*3.\nAnswer: -15 + 45*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 7. Suppose 5*n + 0*n - 24 = -v, -4*v + 8 = -2*n. Is n less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 143.357823ms?\nAnswer: 0.0000016592340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-28 - -9)) + (-5 - -1) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.055 and -0.47?\nAnswer: -1.43585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13953782*l**5*n + 1014*l + 718*n wrt l.\nAnswer: -279075640*l**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b462 (base 12) in base 11?\nAnswer: 13851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1177 - -1200. Suppose 16 + 4 = 5*x. Suppose x*g + g = 25. Calculate the remainder when m is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*m - 1, 3*t + 2*m - 3 = 5*m. Let l = -2 + 1.9. Let r = -2.2 + 2. Which is the closest to 2? (a) r (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 112807758 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626, 12947, 43674, 103509, 202154, 349311, 554682, 827969?\nAnswer: 1178874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiv when three letters picked without replacement from iiviw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 812078749 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 3*i - 17. Let z be v(7). Let u(j) = 9*j**3 + 3*j**2 + 2*j + 2. Let y be u(-2). Let a = 117 + y. What is the greatest common factor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 6. Let r be 0\/1*1\/(-1). Determine l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*y - 3*y + 3 + (-4 + 5 + 1)*(3*y - 3*y + y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8600 and 1849?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46349538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -90, -66, -32, 12, 66?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -21*g**2 + g. Let v be k(1). Let u be (-442)\/(-110) + 4\/v. Let r = u - 201\/44. What is the smallest value in 0, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 11 + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.08 - -0.92. Let u = -29 + 51. Let o = u - 21. Which is the nearest to -1? (a) l (b) 2\/15 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 5*a, 0*a + 2*a + 2*f + 2 = 0. Suppose 4*m + 0*m - 276 = a. Calculate the remainder when m is divided by (-1)\/1 + 15 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11701983 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (6\/18 - 12)) + 10\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2951043\/17 - 173539. Do f and 51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-7)*-2)\/(-1*16)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -18*p + 5922. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 48. Is 24 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4321544 is divided by 5213.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**5\/20 + m**4\/3 + 2*m**3\/3 + m**2 + 299*m. Calculate v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -126. Suppose 6*j - h + 0 = 0. Calculate the highest common factor of 168 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 6*d + 5. Suppose 5*n + 0*n - 4*g = 15, -36 = -3*n - 3*g. Let h be b(n). What is the second derivative of -f - h - 5*f + 5*f**4 + 12 wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -9*r - 11*r. Which is the fourth biggest value? (a) -0.1 (b) 1 (c) r (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**4 + 7*v**3 + 2*v**2 + 20. Let t(i) = -4*i**4 - 15*i**3 - 4*i**2 - 40. Let x(n) = -9*l(n) - 4*t(n). What is the third derivative of x(z) wrt z?\nAnswer: -48*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m - 39. Suppose 23*h = 19*h - 48. Let s be a(h). Let b be 3 + (-3)\/s + -2 + 3. Solve -5*z - n + 3 = 0, b*n - n + 9 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 4, -3, -1, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*21.7.\nAnswer: -1.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 + 234762*i + 7*i**2 + 42*i**2 - 234762*i.\nAnswer: 75*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09079 from 0.4.\nAnswer: 0.30921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**3\/6 - 4*b**2 + 11*b + 28. Let m(l) = -2*l. Calculate p(m(u)).\nAnswer: -10*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19221033 divided by -9299.\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*j - 962 = -7397. Let r(b) = -9*b**3 - 4*b**2 - 4*b. Let n(m) = 260*m**3 + 117*m**2 + 117*m. Calculate j*r(f) - 4*n(f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1023, -926, -4149, -8640, -14393, -21402?\n\"Answer: o**3 - 643*o**2 - 27*o + 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 32, 0, 5, 0.3, 3, -4\/45, 9?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -746 and 61647216153.\nAnswer: 61647215407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 639 = -6*s. Let x = s + 1915\/9. Let b = 39 - 39. What is the closest to 1\/3 in x, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 64*x**7\/105 - x**6\/120 - 17*x**4\/2 + 158*x**2. Find the second derivative of y(w) wrt w.\nAnswer: 1536*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 57*p + 8. Let o(i) = 1. Determine d(x) - 6*o(x).\nAnswer: 57*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/4)*s*s**(-1\/5)*s*s)\/((s**(-5\/6)\/s)\/(s**(-1\/7)*s)))**(12\/7) assuming s is positive.\nAnswer: s**(2831\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84)*-3 - sqrt(84))\/((2*sqrt(108))\/sqrt(9)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + -3 + -3.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - h + 13 = 0, -h + 80 = 34*i + 4*i - 0*h - 38 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2992 = 717*f - 15898. Solve -16*r + 12 = -f*r - 5*n, -5*r + 56 = -9*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {m: 7, h: 2, k: 2, i: 1, w: 3, a: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 13828432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7994 - -14. What is t rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5529194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -46*d + 97. Does 4 divide m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 136423*o - 1636939. Determine i(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + 1 + sqrt(45) + sqrt(45) + (sqrt(45) - sqrt(405)\/(sqrt(9) + sqrt(36)\/sqrt(4))).\nAnswer: 2 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, -5*t + 9*t = 2*c - 1138. Let n = 287 + t. Solve 4*l + l = 5*x, -n*x - 4*l = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/3))**(1\/17) assuming x is positive.\nAnswer: x**(1\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -5a25?\nAnswer: -5a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvoimlvilmlhhliiimll. What is prob of picking 1 l and 1 v?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-3 - -67)*(-1 + (-1 - -1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b257b (base 12) to base 3.\nAnswer: -10201022002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + m = 2*m - 2, 5*x + 2*m = 16. Suppose -w**3 + 3*w**x + 3*w**3 + w**2 - 2*w**4 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/2457603?\nAnswer: 4\/2457603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 310, 2008, 6466, 15064, 29182, 50200, 79498, 118456?\n\"Answer: 230*h**3 + 88*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/7 - 72\/63.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 10:55 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7 - 2 + 2 - 4*v + 2. Let l(z) = 3*z + 2*z - 2 - 4*z. Calculate 6*b(r) + 26*l(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*o + 2873*o + 54978 = -1700*o + 450*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 123807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-1 - (-2 + 2)) - (-396 - -401)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 = 74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 836*w = 0.\nAnswer: -209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -8 - -1 - -1 - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/30 + -3 - 2604\/105.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -11779, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a**2 - 222*a + 48. What is n(14)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*g = 9*g + 321*g - 14904 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*h - 6*h + 180. Suppose 0 = h*o - 9*o + 1908. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, 3963 in ascending order.\nAnswer: 3, 15, 3963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146\/8 + (-9)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 divided by 5?\nAnswer: 587\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, 9328, 3, -4, 1 in increasing order.\nAnswer: -33, -4, -2, 1, 3, 9328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 12*w + 5*n - 6, -5*n + 22 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116019357.\nAnswer: 3, 38673119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6045 and 17763?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/((-105)\/2394*-19)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (121 - -1) + 1 - -3. Let a = 501\/4 - s. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10822711 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4)*1*4. Let z be 2 - 6\/9*x. Let g be z + 1 - 8\/(-4). Solve 4 = -2*v + g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463365995 - 463365995.402999579. Let p = -0.403 - j. Round p to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -953 + 908 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 7\/6*w**3 + 0 + 1\/2*w**2 - w. Is 15 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13195 - 6187. Is 96 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (40\/(-6))\/(2\/(-12)). Suppose -83*g = -4*o - 80*g + 104, 0 = 4*o - 4*g - 96. Calculate the greatest common divisor of o and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 12 + (14 - 1) + -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - f + 11 = -139, 0 = d - 5*f - 34. Let k = d + -12. What is the remainder when 99 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3)*x*((x**20*x)\/x)\/x)**(1\/7))**(-10\/9))**41 assuming x is positive.\nAnswer: x**(-6970\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -128. What is the lowest common multiple of 11 and d?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205 divided by -205.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16486, -33091, -49696, -66301?\nAnswer: -82906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 4*v + 5*v)*(-11237 + 11237 + 659*v).\nAnswer: -1318*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c - 1. Let f(i) = 151*i - 5. Calculate 2*f(d) - 10*z(d).\nAnswer: 282*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5\/2*o**3 + 1\/2*o**4 - 85 - 183\/2*o**2 - 347\/2*o = 0?\nAnswer: -10, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*h - 7 = -v + 901*h, -12 = 4*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by (1*33)\/((-3)\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 3 = 0. Let i = 4 + s. Let x(y) = -y**2 + y + 1. Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 31. What is the closest to 1\/3 in -4, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 1, y: 6, q: 3, d: 2}. Give prob of picking 2 d and 1 b.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1690 (b) -4 (c) -3 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173 - 173 + 8*m**4 + (-2 - m**4 + 2)*(5 - 3 + 0).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-8 - (-1)\/((-2)\/8)). Suppose -35 = -13*o + b*o. Solve 2*w + 25 = o*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tsbbxxxbbpbxbbxbx. What is prob of picking 2 x and 1 b?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526989561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197970 and 2535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 - 4*g + 6. Let s be z(6). Suppose -5*a = 5*w - s, 2*w + 1 = -a + 22. Find the second derivative of c + c - a*c**4 + c - 5*c wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -20 + -41 + (126 - 5)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (665\/175 - (-8)\/(-10)))*-1356757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1042067 divided by -1\nAnswer: -1042067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 7) to base 10.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2399 or -2400?\nAnswer: -2399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/185 - 318\/2405. Let q = -257062 - -257062.4. Let g = 11 - 7. Which is the nearest to -3? (a) i (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445\/3 + 8126 + -8273.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + k**3 - 2*k**3)*(-7*k + 2*k + 4*k)*(-2*k + 2*k + k) + (k**3 + 2*k**3 + 0*k**3)*(0*k**2 + 3*k**2 - 5*k**2) + 4*k**3 + k**5 - 4*k**3.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75))**2*-4 + -2 + ((sqrt(6)\/sqrt(2))**2 - sqrt(3)) + 4.\nAnswer: -295 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3632420 and 154660?\nAnswer: 134399540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5562.56 centimeters?\nAnswer: 55625600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477557 is divided by 958.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 400808.1 minutes in nanoseconds?\nAnswer: 24048486000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**4\/8 - 7*c**3\/2 - 4*c**2 - 11*c. Let t be b(9). What is the greatest common factor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 747145*z**2 - 470380 wrt z?\nAnswer: 1494290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993348818?\nAnswer: 2, 3, 36913867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 58370580 divided by -46884\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8929\/13 + 1037103\/1508. Calculate the common denominator of -101\/2 and d.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - 13. Let l(n) = n + 14. Let f = 34 - 20. Suppose -f*i = -20*i - 144. Let v be l(i). Calculate w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(1944)\/sqrt(4)))**2.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/3 - 4*x**3 + 14*x**2\/3 + 24*x - 24 = 0.\nAnswer: -6, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p - 4*p + 4*p)*(-29 - 4 + 14)*(-3 + 3 + p) to the form n*p**2 + d*p + w and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 76 = -16. Suppose -6*l + l = s + 14, 5*s = -j. Let b be (-3)\/(-3) + -1 - l. Solve b*k + 18 = -5*m + k, 0 = -3*m + 5*k - 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20785, -20825, -20865, -20905, -20945?\nAnswer: -20985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 458, 1242, 2028, 2816, 3606, 4398, 5192?\nAnswer: 5988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -156. Let b(z) = z**3 - z**2 + z + 13. Suppose -3*d - 9 = 5*y, -2*y - 2*d = 3 + 3. What is the remainder when m is divided by b(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*a - 991415 = -59*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Suppose 11 - 39 - 2 = -10*x. Let w(y) be the first derivative of 0*y + 2\/3*y**x + 2 + 0*y**2. Calculate f(w(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*b**3 + 0 - 34\/11*b**2 - 32\/11*b = 0. What is b?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4 - 2965*h**3 + 64761*h**2 - 44019*h - 370818 = 0.\nAnswer: -2, 3, 21, 2943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:42 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1351269\/50 + -27017. Let i = w + -22\/25. Find the common denominator of i and -131\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -540731?\nAnswer: 324438.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211291?\nAnswer: 211291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*j = -4*u + 6, 3*j + 9 = -2*u. Suppose -10*z + 6*z + 20 = u. Solve 4*b + z = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*b - 3323 = 0, 28*j = 32*j + 4*b - 4484. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 478731090 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 3 + 4 - 2 as r*d + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 136.\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*-10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, -76, -215, -492, -955, -1652, -2631, -3940?\n\"Answer: -8*q**3 + 3*q**2 - 2*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*m + 5, -m - 4 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1635*b**4*u**2 - b*u**2 - 328*b - u wrt b?\nAnswer: 19620*b**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -397, -795, -1193, -1591, -1989, -2387?\nAnswer: -2785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17557719?\nAnswer: 3, 17, 344269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**4\/5 + 43334*g**3\/5 - 233532874*g**2\/5 - 12983304566*g\/5 + 41050539708\/5 = 0?\nAnswer: -58, 3, 10861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 3, -2*v = 6*n + 260 - 266 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585*w**2 - 1202*w**2 + 608*w**2.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171058766 to the power of 1\/2, to the nearest integer?\nAnswer: 13079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 2*c**3\/3 - 5*c**2\/2 - c - 410. Let f = -15 - -11. Determine b(f).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-86)\/(-129) + 8\/6)*1. Solve -2*s + u = -2*t, -14*t + 4*s = -12*t + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4858464 and 640?\nAnswer: 97169280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l*l\/(l*l*l**(2\/7)\/l*l))\/l)\/l))**44)**(-30)\/((l**0*(l*l*l*l*(l*l*l*l*l**(2\/3)*l)\/l*l*l)\/l)\/(l\/l**2*l*l**(-5)\/l)) assuming l is positive.\nAnswer: l**(-91409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12809 + -6030. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3 = 13. Suppose -z*a - a = r, r - 18 = 4*a. Solve -4*j + 6 = -r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19164054?\nAnswer: 2, 3, 7, 13, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.19016+107076\nAnswer: 107077.19016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)*-1*2*5)\/(sqrt(144)\/(sqrt(1200)*-2)).\nAnswer: 200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**5\/5 - 62*w**4\/5 + 198*w**3\/5 + 2196*w**2\/5 + 648*w + 1296\/5 = 0. Calculate w.\nAnswer: -6, -1, -3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -9*x + 163. Suppose -x = -5*d + 13. Suppose 0 = d*a + a. Solve 4*z - 4*s + 4 = -a, s - 1 = 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-8)*-2*2. What is the remainder when (-6)\/4*(-106)\/3 is divided by -3 - (-23 + 0 + w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.212763 days in milliseconds?\nAnswer: 104782723.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 74*z**2 - 3317*z - 4004. What is f(46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from knnkdmkdmdnm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-50)*3825\/(-170)*6.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)\/r)**(1\/5)*(r\/((r*r*r\/r**(3\/17))\/r))\/(r\/r**(2\/9)))**(-18\/11) assuming r is positive.\nAnswer: r**(3062\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -404, -411, -412, -407, -396, -379?\n\"Answer: 3*s**2 - 16*s - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112 + 6*z + 112)*(0*z**2 - 4*z**2 + 6*z**2) + z**3 - z**3 + z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9715.054 grams in milligrams?\nAnswer: 9715054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 4*p**2 - 3*p + 1. List the prime factors of g(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(17) + (sqrt(612) - (sqrt(612) + 0))) - (-6*(sqrt(17) + 2) + sqrt(17)).\nAnswer: 12 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-8)*4*6. Solve 0*w + f*q = 2*w, 2*q = 5*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t = p + 49, -778*p + 780*p - 3*t + 17 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/(w**(-29)\/w)))\/w)**(-4\/9) assuming w is positive.\nAnswer: w**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 621.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88.8 + -89. Let o be -1*1 + 2\/4. Which is the nearest to w? (a) 2\/15 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 3 + 3 - 12*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 divided by 124.\nAnswer: -251\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.67 + -0.33. Let f = s + 108.4. Round f to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634470 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 31421962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 268.4 at most 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -70*c + 48. Let a(k) = -k**3 + k + 2. Let x(d) = -2*d**3 + d + 3. Let l(i) = -3*a(i) + 2*x(i). Calculate the least common multiple of l(c) and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 (base 10) in base 6?\nAnswer: 12143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150405221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y**2 + 2*y - 1. Calculate the remainder when 69 is divided by f(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/7 (b) -13 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 13*u + 35. Let d be o(-15). Suppose 3*h - 5*w - 23 + 1 = 0, -2*h = -d*w - 18. Sort 5, h, -2, 8.\nAnswer: -2, h, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 25*r - 82. Let p be l(-21). Let s(q) be the first derivative of -8\/17*q**p - 1 - 2\/51*q**3 - 32\/17*q. Factor s(j).\nAnswer: -2*(j + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01267481 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12096\/2688 - (4 - (-474)\/4).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7639 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -14. Let h = z - 9. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32574, -65149, -97724, -130299, -162874, -195449?\nAnswer: -228024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:25 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 0.1 (c) 19493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 132. Let d be m(0). Calculate the remainder when (d\/(-77))\/(2\/63) + -4 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9196, -73409, -247698, -587101, -1146656?\nAnswer: -1981401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-13)\/(-2))\/((-50)\/(-40)))\/((-78)\/((-72540)\/(-62))).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 450*k - 530*k + 2400 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - (5 + -1)) + -17. Let l be (u\/(-7))\/((-1)\/(-2)). Solve -l*f = 3 - 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 h when three letters picked without replacement from {m: 5, h: 1, z: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(36)\/sqrt(144))\/((-3*sqrt(3267) - sqrt(3267))\/sqrt(9)).\nAnswer: sqrt(3)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t + 10. Give y(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93047 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43632231 and 1146.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 820 and 12.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**3\/3 + y**2 + y + 2. Let a be i(-1). What is the remainder when 9 is divided by a\/(-1 - (-6)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 774801\/62342 - -3\/8906. What is l in -9\/7*l**4 - 3*l - 39\/7*l**3 - 18\/7 + j*l**2 = 0?\nAnswer: -6, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:42 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b - 1. Let o be g(6). Suppose -5*z + 25 = -4*u - o, -2*z = 4*u + 16. Let c be 0\/4 - u*2. Solve -5*r + 10 + c = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 36. Let i be l(-6). Let k(z) = -2 - i*z - 6 + 27*z - 5. Let y be k(-6). Solve -t = -y*r + 14 + 5, t = 4*r - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/166 in -2\/9, -0.4, 1\/3, 1\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 6*x**2 + 44*x\/3.\nAnswer: -2*x*(x - 2)*(x + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -51*(103 - 0)*(-5)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 9*g + 3. What is b(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 0.03.\nAnswer: -76.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let k be 1*((-3)\/(-3))\/w. Factor 0 + k*g + 1\/2*g**2.\nAnswer: g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3625*o - 108741. What is k(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-31)\/2 + (-12)\/(-24). Let h be 10\/j*(-3)\/14. What is the biggest value in h, -0.1, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314251 is divided by 2109?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 3*a + 6*a)*(-1 - 4 + 3) - a + a + a - 2*a - 1 - 3*a + 2*a.\nAnswer: -4*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*h = 5066, -h - 5066 = -2*j + 3*h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 8 = f. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 17 = -3*k, f - 4*k = 4*f - 24. Suppose -4*a + f*z + 16 = z, a + 3 = -z. Which is smaller: a or 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - b + 28, 9*r + 2*b + 10 = 6*r. What is the nearest to 0 in 5\/2, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18 = 24. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2. Let n(u) = 4*u**3 + 3*u**2. Let m(v) = -v**2 - 12*v + 1. Let y be m(-12). Calculate y*n(p) - 3*l(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q - 4. Let p be i(4). Let v = 6 - p. Let t(j) = 2*j**3 + 20*j**2 + 2. Let c be t(-10). Solve 3*g = s - c, g + 3*g = v*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10765?\nAnswer: 5, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 3*y - 3. Let q be l(3). Let u = 9 + -3. Suppose -12 = -c + u. What is the greatest common factor of c and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:21 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-60)*-4 + (-417)\/5. Let p = 199 + a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2 - sqrt(252)) + sqrt(252) + -2 + 3*sqrt(252)*-1.\nAnswer: -30*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x + x - 2*x**4 - x**3 - 2*x + 4*x as v*x**4 + f*x**2 + i + k*x + o*x**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 33. Let q be ((-36)\/42)\/((-3)\/w). Suppose 5*i - q*p = 121, 5*i - 6*p = -4*p + 113. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22168 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17587\/11 + -1599. Which is the nearest to -0.1? (a) -0.3 (b) 0.09 (c) y (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032738347 rounded to 5 dps?\nAnswer: -0.00327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7\/1 - 3) + 0. Suppose 0*n - f*y - 76 = -2*n, 3*y = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7625878, 7625879, 7625880, 7625881, 7625882, 7625883?\nAnswer: 7625884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315 by 100971.\nAnswer: 35\/11219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m - 4 = 4*v - 32*m, 3*v - 4 = -m. Solve o - 9 + 5 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6)**(1\/5) assuming v is positive.\nAnswer: v**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11093*h**2*s**3 - 4*h**2*s**2*z + 20*h**2*s**2 - 6*s**3*z**2 + 2*s**2*z**2 + 113*s**2 - 2*s*z**2 wrt s?\nAnswer: 66558*h**2 - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 843 + 6*l + 2*l**2 - 4*l - l - 842. Let z(h) = 3*h**2 + 2*h + 1. Let o be 4\/10 - 46\/(-10). Suppose -15 = -0*a + o*a. Determine a*z(y) + 4*t(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let i = -0.081 - -5.081. Let v = i + -5.2. Is v >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7*g + 72 = 0. Let x be (-2 - 15\/g) + (-7)\/(-3). What is c in -159*c**3 + 15*c - 3 + 9 + 144*c**3 - 6*c**x = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:34 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 17. Calculate t(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i + 12. Let p be h(6). Solve 6*c - 3*c + z + 17 = 0, -p = 4*c + 4*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(9\/2)*f**(-1\/10)\/(f\/(f*f\/(f**(-6)\/f*f))))**(-11) assuming f is positive.\nAnswer: f**(-1023\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 5*i**2 - 5*i - 3. Let a(b) = 3*b - 12. Let y be a(6). Let o be z(y). Suppose -o*f = -10 + 4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*i + 495*i + 10830 - 225 = -1348*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1424 - 1344. Solve -11*o = -27*o - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329.8 - 620.4. Let o = 291 + l. What is the smallest value in o, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a*g**3*j + 8*a*j - 3*a - 158*g**3*j - g**3 - g - 26*j wrt g?\nAnswer: -78*a*g*j - 948*g*j - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26055 (base 10) in base 5?\nAnswer: 1313210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/159744 and 17\/2.\nAnswer: 159744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 6.38?\nAnswer: 8.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:48 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 16512363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1041\/2 - 521*u - 1\/2*u**2 = 0.\nAnswer: -1041, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 7. Solve -2*m = -2*j + 2, 2*j + 3 - 6 = c*m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1224927750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310 - 313. Sort u, -32, -2 in ascending order.\nAnswer: -32, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/6 - 154*f - 1. Let r(q) be the third derivative of -11*q**4\/24 + q**2. What is y(r(w))?\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 + -10. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-11\/5)*f\/f**3*f**(-8)\/(f*f\/f**(-2\/35)*f) assuming f is positive.\nAnswer: f**(-534\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = -3*n. Put -3, n, -2 in ascending order.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -1 (c) 0.8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*(f**(-6)\/f)\/f))\/f*f*f\/((f*f**(2\/15))\/f*f))\/((((((f**(-1)\/f)\/f)\/f*f)\/f)\/f)\/f)**(-4\/7) assuming f is positive.\nAnswer: f**(571\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 + 7.7. Let u be 208\/(-6)*2\/(-12) - 6. What is the nearest to t in 0.064, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*z = 1130*z - 7053 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(-3)*3\/(486\/180)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*o**3 + 28068*o**2 - 387*o**3 + 158*o**3 - 28066*o**2.\nAnswer: -92*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -10. Let w = -0.11 + 0.11. Which is the closest to w? (a) 0.2 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -18*u - 118. Suppose -4*k + 7*n - 2*n + 939 = 0, -15 = 5*n. Let f be 2\/6 - k\/(-9). Calculate the highest common factor of f and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (72\/42)\/(4\/14). Solve 20 = -o*j + 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7150 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 0, 2\/3, 38 in increasing order.\nAnswer: -4, 0, 2\/3, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 10*g + z - 53, -g = 5*z - 22. Let s be -29 + g - (-7)\/2. Is s at least 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 283791620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -235*c + 3998. Let d be w(17). Solve -z = -3, -3*m - 109 = d*z - 130 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -3*u**2\/2 + 2*u - 41. Let s(p) = p**2. Determine o(s(v)).\nAnswer: -3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 1. Let t(n) = n + 8. Let x be t(6). Let h(a) = 0*a - 2 + x*a**2 - 15*a**2 - 3*a. Calculate 2*h(w) - 5*s(w).\nAnswer: -2*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eleeeeleeeeeeeeeeeee. Give prob of sequence eee.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:03 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 5:54 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*f**3*g**2 - 9*f*g + 2*g**2 - 3*g - 46 wrt f?\nAnswer: -237*f**2*g**2 - 9*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -12 + 6 + -4 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5290*b - 5317*b. Suppose -6 = 3*j - 0. Sort j, b, 1, 3.\nAnswer: j, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 72\/(-7) + 6\/21. Find the common denominator of 2\/(-7) - (-138)\/(-154) and (-2)\/z*(1 - -48).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1. Let n(k) = -2*k - 1. Let c(t) = -t + 6. Let f be c(10). What is f*l(a) + 2*n(a)?\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -74*y**2 - 3035*y - 73. What is l(-41)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (90 + 50 + 10)*(z - 3*z - 5*z) as y*z + o and give y.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttdtdtdttttdtdddtdt. What is prob of sequence tt?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2. Let x(k) = 9*k**2 - 4*k. Let s(y) = -8*y**2 + 3*y. Let u(l) = -4*s(l) - 3*x(l). What is z(u(r))?\nAnswer: -50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)\/(l*l**(-2\/27)*l)*(l\/(l*((l*l**(3\/2))\/l)\/l*l*l*l))**(-46))**49 assuming l is positive.\nAnswer: l**(2733269\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Let c be 3*(t - (5 - 3)). Calculate the greatest common factor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 77 = -2*r. Let a be (9 - (-32)\/(-8)) + -3. What is the second derivative of -32*b**2 + 3*b + r*b**a + 5*b**4 wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6*u - 3. Let l be g(7). Suppose -2*c - 32 = -l*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7 + 0*o - 3*o - 9*o. Let y be p(12). Let q = -66 - y. Calculate the remainder when q is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 56, 77, 100?\n\"Answer: w**2 + 16*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**4\/4 + 8*d**3\/3 + 6*d - 5. Let x be m(-8). What is the second derivative of -x*q - 3*q**3 + 11*q**2 - 11*q**2 wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334495717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) + -4 - sqrt(171))) + 4 - sqrt(171))**2 + 0.\nAnswer: 48*sqrt(19) + 235","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + v + 8. Let d be x(0). Does 20 divide d\/(-52) + 1174\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 1514*r + 751752 = 0.\nAnswer: -1908, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 10*r + 25. Let z be o(-5). Suppose z = 3*m, -28 = -4*a - 0*a + 3*m. Let v(l) = 3*l + 4. Calculate v(a).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 1216?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y**(-1\/6)\/y)))\/(y*y\/(y**(-5)*y))*y**(3\/5)*y**1 assuming y is positive.\nAnswer: y**(-137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucuc when four letters picked without replacement from {u: 2, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*s + 2*s + 17*s + 167*s**3 + 3 + 2*s**3 - 3 - 6*s**3 + s**3 + 3*s**3 + (0 + 0 + 2*s)*(3 - 2*s**2 - 3).\nAnswer: 163*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -2*h, 3*w - 20 - 8 = -5*h. Let s be (-6)\/140*8*(-543)\/270. Let m = 17\/21 - s. Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3969) + sqrt(3969)*2))\/(-4*(-2*sqrt(7) - sqrt(7)) - (sqrt(7) - (sqrt(1008) + sqrt(1008)*-2)))*-3.\nAnswer: -243*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1910*v**2 + 29780 + 1557*v**2 - 14887 - 14891.\nAnswer: 3467*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 88 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24752974*g**4 + 549*g**2 - 188*g + 6 wrt g?\nAnswer: -594071376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 1794?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.7, 0.02, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 3220?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65983.4 grams in nanograms?\nAnswer: 65983400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64561318 to the power of 1\/2, to the nearest integer?\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1828 and -59\/1071208?\nAnswer: 1071208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**4 + 4*t**4 - 6*t**4 + (-6*t**3 - 8*t**3 + 2*t**3)*(-4 - 2*t + 4) + 3*t**4 + 0*t**4 + 0*t**4.\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 618928, 618907, 618886, 618865?\n\"Answer: -21*x + 618949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16532 by -4.\nAnswer: -4133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let m(b) = -2*b - 11*b + 2*b. Give a(m(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18344)\/38981)\/((-126)\/51)*7\/(-54).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221 + -212. Calculate the remainder when 60 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5753375 + -16.028\nAnswer: -5753391.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {v: 3, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49290, 98578, 147866?\n\"Answer: 49288*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -1, 3, -2613, 0.2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2075*p**2 - 902628*p - 1297. Give k(-435).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(429\/26 + -15). Suppose -12 + 47 = -3*p + j, -3*p - 2*j - 47 = 0. List the prime factors of (3 + p)\/(i\/4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.338292l?\nAnswer: 7338.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 + 0*f**3 + 2*f**3 + (-2*f - 1 + 1)*(-1 + 1 + 2*f**2) + f**2 + 3*f**3 - 3*f**2 - 4*f**3.\nAnswer: -7*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23314044 - -12?\nAnswer: 23314100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2648 = -4*h - h, 0 = 2*h + 6. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -335.0128 - -336. Let i = -1 + b. Round i to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.84. Let b = 0.34 + o. Let m = 0.1 - 0.6. What is the third biggest value in 0.2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 - 6 = 5*i, -d - 10 = 4*i. Let g = 149 + -137. Solve 5*k - 3*c = 7, -k - d*c = 4*k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 divided by -11?\nAnswer: -14920\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 45. Let z be 0 - (-1 - (-3)\/c). Factor 20\/3*k**2 - 10\/3*k - 2\/3*k**5 + z - 20\/3*k**3 + 10\/3*k**4.\nAnswer: -2*(k - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -73*d**5\/10 - 83*d**3\/3 - 67*d. What is the second derivative of m(z) wrt z?\nAnswer: -876*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -n - 242, -5*k - 4*n = -0*k - 292. Suppose -4*l + 5*u - k = u, 0 = -5*l + 2*u - 60. Let r = l - -18. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -300*d**3 + 2*d**2 + 76*d - 15. Let t(x) = x**3 + 3. Let s(n) = -c(n) - 5*t(n). What is the third derivative of s(m) wrt m?\nAnswer: 1770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*n - 1. Solve -4 - 6 = -n*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1 - 2*v + 3*v + 2. Is 2 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/845? (a) 1 (b) 4 (c) 7\/2 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/116006 and 29\/63276.\nAnswer: 696036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -176*g - 3703. Determine b(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90645 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*s - 12 = 0, -s + 10 = -5*a + 4*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 + 5*r**2 + 0*r**2)*(-1079 + 1079 - 170*r) to the form m*r + w*r**2 + i*r**3 + k and give i.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, -5, 98, -4, -11 in increasing order.\nAnswer: -317, -11, -5, -4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44003 - 131?\nAnswer: 43322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/24*3*3\/6.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*a**3*c**2 + 17*a**3 - 4*a*c - 2*c**2 wrt c?\nAnswer: -62*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -29*m - 2. What is the remainder when x(-3) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1226 divided by 26.\nAnswer: -613\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/350 and 101\/308?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/27 (b) -7 (c) 2\/5 (d) -2\/15 (e) -3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 - -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Suppose -c + 2*m + 6 = 0, -5*m = -17 - i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 66*k**3 - 255*k**2.\nAnswer: -3*k**2*(k - 17)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q**5\/5 - 855416*q**4\/5 - 1520871*q**3\/5 + 9789858*q**2\/5 + 8174152*q\/5 - 2281152\/5 = 0. Calculate q.\nAnswer: -4, -1, 2\/9, 3, 95048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6967, 9118, 11267, 13414, 15559?\nAnswer: 17702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 564*j**2. Let y(n) = 3*n. Give y(d(b)).\nAnswer: 1692*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-187)\/24123*(-2 - -8).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + -5 + sqrt(75)*2 + 5*(sqrt(75) + 1) + -3)*-1*-5)**2*5.\nAnswer: 43750*sqrt(3) + 2297500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 228.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*u**2*x**3 - 15*u**2*x**2 - 4*x**2 wrt x.\nAnswer: 492*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 920325 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -2. Let t = -28 + d. Let n = -6 - t. Let s(g) = -g - 1. Calculate s(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + v - 11. Let u be w(-8). Let j = u + -39. Let t = -66 - j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -701184 + 703?\nAnswer: -700481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -7, -19, -31, -43?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -3. Let d = -1 - l. Let g = 102\/7 + -15. Sort 0, d, g in ascending order.\nAnswer: g, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187742\/1557 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**2 + 90*s - 91 = 0.\nAnswer: -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjghcgjggghjqjchqj. Give prob of sequence jjh.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.88 - -0.12. Let o = 5.18 + t. Let x = -10 + o. Round x to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*w + 332 = -291*w. Let c(v) = 9*v - 4. Let i(n) = 5*n - 2. Let q(d) = 3*c(d) - 5*i(d). Let k be q(2). Put 0, 5, w, k in ascending order.\nAnswer: w, 0, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 16*c + 26*c)*(4*c**3 - 10*c**2 + 10*c**2) to the form z*c**2 + r*c**4 + d*c**3 + m*c + f and give r.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + 90. Let h = u - 139. Solve h*y + 4 = -12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-7))**(-2\/81)\/(u**0\/u)**(-2\/71))**(-24) assuming u is positive.\nAnswer: u**(-1840\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-68)*44)\/(3\/((-9)\/3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**3 - 4*b**3 + b**3)*(8 - 13 + 21).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, 0, 5\/3, -0.3, -2\/7, -139, -174\/11?\nAnswer: -174\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36, -300, -1010, -2388, -4656, -8036?\n\"Answer: -37*i**3 - i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 - 235\/(-45). Suppose b*q + 7 = 27, -22 = -2*j - 4*q. Suppose j*w = -2*w + 4*k + 26, 2*w - 4*k = 8. Solve -w = 2*u - 2*i, -2*i + 4 = 2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 47.\nAnswer: 5\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-90))\/(3\/(-30)*1).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28722765 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7048 + 11*h**2 + 7048.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**5 - l**3. Let p(d) = 33*d**5 - 5*d**3 - d**2 - 255. Let s(c) = p(c) - 5*x(c). Find the third derivative of s(o) wrt o.\nAnswer: 2580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 23*l + 94. Let i be o(21). Let y = -443 + i. What is the remainder when y is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurussurssussusu. Give prob of sequence sr.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 - r**2 + 6*r + 23. Let y(o) = -7*o**3 - o**2 + 7*o + 23. Let h be 1\/((-2)\/10 - 0). Let v(z) = h*y(z) + 6*k(z). Is v(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 2*i + 2*i)*(4*i - 3*i - 3*i)*((-i + 1 - 1)*(-3*i + 4 - 4) + i + 3*i**2 - i + 16 - i**2 - 16).\nAnswer: 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 2760795.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.96 + -7. Let m = -3.04 - z. Let d = -9 + 4. Which is the second smallest value? (a) m (b) 2\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5359, 11657, 17955, 24253, 30551, 36849?\n\"Answer: 6298*r - 939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let o(g) be the third derivative of g**8\/2016 + 3*g**5\/10 - g**4\/12 + 56*g**2. Let n(l) be the third derivative of o(l). What is r(n(c))?\nAnswer: 100*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485750709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 3\/2*r**2 + 11\/20*r**5 - 75*r + 0 + 1\/3*r**4 + 0*r**3. Let m(p) = -10*p**3 - 3*p**2 - 2. What is -3*c(o) - 4*m(o)?\nAnswer: 7*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 92 = 2*x - 8, 0 = -4*r - 5*x + 94. Let p be (-96)\/(-52) - (-4)\/r. Find the second derivative of 6*z**p - 9 - 9 + 7*z + 18 wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 5 - -8) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 2.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57138 and 534.\nAnswer: 57138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1676, -0.1, -11, 0.02?\nAnswer: -1676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 715 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 65, 113, 161, 209, 257?\n\"Answer: 48*w - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3173*z**2 + 1482*z**2 - 3*z**3 + 1691*z**2.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43208172 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -208670*f. Let i(r) = -3*r. Calculate l(i(b)).\nAnswer: 626010*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 106 = -30. What is the remainder when o is divided by 1\/1 + 8\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0716 - 0.4716. Which is the fourth biggest value? (a) 3 (b) 8 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2078.\nAnswer: 16624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 360*i**2 - 34087*i + 33726.\nAnswer: (i - 77)*(i - 1)*(i + 438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*m + 220*m + 94*m + 4 - 2 + 270*m - 101*m.\nAnswer: 438*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*f - 274 = -f, -4*b + 3*f + 218 = 0. Suppose -5*k + 25 = -4*w, 2*w - b = -4*k - 2*w. Calculate the least common multiple of 4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+11967771\nAnswer: 11967775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4778448 divided by -6\nAnswer: 796408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*o - 12, -5*u - 2463 = -6*o - 2481 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 10564596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**6\/720 - t**5\/60 + t**4\/6 + 2*t. Let s(d) be the third derivative of q(d). Let v be s(-2). Solve 3*c + v*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 62 + 17e6?\nAnswer: 1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 6:29 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 12. Let t = 695 - 689. Give h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3750687 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -18*w + 23. Let k(t) = -3. What is 4*k(y) + x(y)?\nAnswer: -18*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvk when three letters picked without replacement from zklkkzlzzlvzvgszzv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 6:32 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q - 10. Let o be 11\/(-5) - q*1. Let j = 2072416\/5 + -414484. Which is the second smallest value? (a) -5 (b) o (c) -1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22561554 (base 7) to base 3\nAnswer: -10201200001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5641\/6 - 953. What is the common denominator of k and -59\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three quarters of a millimeter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + 13*w + 10. Determine x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*a + 6*a, -4*a = -3*q. Let x(w) = -4*w + 2729. Is x(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5636729 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5)*22\/(-33). What is the tens digit of (-465)\/s + (-66)\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -9. Let u(z) = z**2 + 21*z + 13. Let n be u(-20). Do l and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -641 by 39.\nAnswer: -641\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 15*o**2 + 660 - 644 + 5*o. List the prime factors of p(5).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6043 is divided by 95.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290948.3 + -0.0853.\nAnswer: 290948.2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 18 = 17*y. Calculate the lowest common multiple of 28 and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 2*z - 253, -2*x + 78 = 4*z - 9*z. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/90 and -12\/22705?\nAnswer: 408690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 3538*i\/3 + 1180.\nAnswer: -2*(i - 1770)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -2, 2*h - 5*u = -15. Let p be h + (0 + 3 - 1). Suppose -p*j = -j - 2. Do j and 2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*n + 103*n = 2821 + 23 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((6 - 8) + 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200046 is divided by 66681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/11 + 8*s**4\/11 + 6*s**3\/11 - 36*s**2\/11 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 103741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/3490227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -75 + 3. Calculate the highest common divisor of 24 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from nppppnpnwpwpsswwpwpp.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 - 40750\nAnswer: -40749.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 + 120055314?\nAnswer: 120055534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 + 60?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/6)\/j)\/(j\/j**(-1\/6)))\/(j**0\/j)**(-30))**(-43) assuming j is positive.\nAnswer: j**1333","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5712 divided by 1\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 9:46 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((2*sqrt(44)\/sqrt(4))**2 - sqrt(121)\/(sqrt(44)\/sqrt(4)))*-6 - (sqrt(1375) - sqrt(1375)*-2)\/(sqrt(5) + (sqrt(35)*1)\/sqrt(7))).\nAnswer: -269 - 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**2 - 872*h**3 + 15*h**2 - 1559*h**3.\nAnswer: -2431*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - s = 3 - 12, 22 = 2*i + 5*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 3\/40, 0.04?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -2*j**2 - j**3 - 1\/20*j**5 + 5*j + 7\/12*j**4 + 0. Let x(g) = g**3 - 6*g**2 + 6. Let y be x(6). Calculate a(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5395389 litres?\nAnswer: 539.5389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*l + 4*u, -4 + 0 = -2*l + 4*u. Let y = l - -13. Suppose y*t - 2*p = 36, p = -4*p + 10. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 496 - 494. Suppose -302*v - h = -303*v. Suppose -58\/7*g + 12\/7 + 18\/7*g**v = 0. Calculate g.\nAnswer: 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -13 + 3 + 6 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w - 3. Let a(y) = -y**3 + 2*y**2 - y + 2. Let h be a(w). Let q(n) = -n + 6. What is q(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909161152?\nAnswer: 2, 2083, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (0 + -2*sqrt(76) - sqrt(76) - -2*sqrt(76)*1)*2)*-2*4)**2.\nAnswer: 2048*sqrt(19) + 20480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189173526 divided by 6.\nAnswer: -31528921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 177467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 + 2210 = -174*f - 202 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 978 = -10*t. Suppose -t = 2*j - 1337. Suppose 7*k - j = -k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 1:24 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1381 and 2.\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -620 - -1339. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -88. Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-115*(-2)\/58 - (-75)\/150*-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 take away -127947?\nAnswer: 127949.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -839, -1172, -1507, -1844, -2183?\nAnswer: -2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.18, -9, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -178*j + 237. What is the hundreds digit of c(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/2)\/(-44)*76\/(-228).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -7, -4, 5, -0.1, 6, 31, -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9638 - 312 = 5*x. What is x rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -45?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 817 - 763. Let r be (-2)\/(-3)*(-75)\/(-10). Suppose -5*f + 48 = 3*j, -4*f + r = -7. What is the remainder when n is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.88 - 0.927. Let y = 4093 + -4095.953. Let j = y + m. Which is the third biggest value? (a) -1\/3 (b) 2 (c) j (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = l - 2*d, -22*d = -6*l - 27*d + 207. Solve -32*n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + q + 593, 0*q = -2*j - 4*q + 224. Suppose 0 = -10*y + 12*y + j. Let c = y - -64. Solve -c*d = -19 - 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581 is divided by 151.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40989 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 17*m + 23. Let l be i(-9). Solve -l = -5*a + 12*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2. Let j(u) = 5 - 12 + 5. Let k(w) = -3. Let c(p) = -5*j(p) + 3*k(p). Let i(b) = 3*b + 3. Let z(l) = -3*c(l) + i(l). Determine x(z(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, l: 14}. What is prob of sequence ljl?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941564070 to the power of 1\/2, to the nearest integer?\nAnswer: 44063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + -5 + sqrt(363)*-2)**2*5 + -3*6*(-2 + (sqrt(3) + 1 + sqrt(3))**2).\nAnswer: 478*sqrt(3) + 1742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (sqrt(170) - -1*sqrt(170)*-1))\/((sqrt(100)\/sqrt(2))\/sqrt(5))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.77 - -32.23. Let c = -32.9999972 + f. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let i(l) = -10*l - 141. Let m(c) = 8*c + 140. Let x(p) = -5*i(p) - 6*m(p). Give s(x(g)).\nAnswer: 4*g - 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 320233 - 4?\nAnswer: 320227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 10203.\nAnswer: 51015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 4*h + 2. Let g = -22 - -12. Let w = g + 15. Let v be l(w). Let b(j) = j. What is b(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4213.7 to the nearest 10.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000 - 11110010?\nAnswer: -100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267 is divided by 306?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5871\/3502 - (-21)\/(-14)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777561.73 rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + w + 19 = 21, v + 4*w - 18 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, z: 1, q: 2}. Give prob of picking 1 y and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-85))\/(-2*1\/(-2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -319.1 - 67.9. Let d = -386.3 - l. Put -2, 4, d in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b*j**2*y**2 + 38*b*j**2*y + 3*b*j - j**2 - j*y**2 - 104*y**2 wrt b.\nAnswer: 21*j**2*y**2 + 38*j**2*y + 3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 5*o - 4. Let m be r(6). Let y be ((-4)\/(-1))\/m*1. Suppose f = -p - 7, -7 = -2*f + 847*p - 842*p. Put -5, f, y, -2 in decreasing order.\nAnswer: y, -2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 3.6. Let v = h - 0.7. Which is the biggest value? (a) v (b) -1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (0 - (5 + -1) - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003411 to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1380 and 10350.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 10, -34, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.399 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1093539562*o**3 + 1093539566*o**3 - 2187079126*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -135*s**5 - 133*s**5 + 263*s**5 + (-2*s**4 + 1 - 1)*(0 + 0 + s).\nAnswer: -7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 681 + -457. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 61.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001522 to five decimal places.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781.55 kilometers in micrometers?\nAnswer: 2781550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 12. Solve -b + u = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9299 = 13*s - 394. Does 13 divide 0 + 4 - s - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74960.766 seconds in hours?\nAnswer: 20.822435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 83.5. Which is the nearest to 1? (a) r (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14*(-21 - (-1 - 22)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56, -65, -82, -107, -140?\n\"Answer: -4*m**2 + 3*m - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 276\/(-44) - (-3 - -4). Let f = h + 582\/77. Are f and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 5, -9 = -3*i - 3*c. Solve -g + 0*g = -i, 4*r + 2*g = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssx when three letters picked without replacement from {e: 2, s: 7, x: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -5 + 2 + 5 + 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49055, -98112, -147191, -196304, -245463, -294680, -343967?\nAnswer: -393336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 3. Let s be h(-3). Suppose -12 = -9*u + 6*u. Let j(k) = k**2 - 325*k + 1281. Let q be j(4). Sort u, -1, q, s in descending order.\nAnswer: u, s, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 v when three letters picked without replacement from {v: 3, l: 1, r: 4, p: 2}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -32*f + 30*f + a, 4*f - 2 = -5*a. Let l(k) = -k**3 + 2*k. Let g be l(-2). Sort f, -5, g in ascending order.\nAnswer: -5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -0.0578\nAnswer: 0.009248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/1*4\/(-6). Let a be (-15)\/20 + (-33)\/b. Let z(l) = 160 - 3*l**a - l**2 - 160. Let u(d) = 4*d. Determine z(u(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 60, 102, 170, 270?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7876 and 11044?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 4. Let p be -2 - (3*b)\/(-1). Suppose v - p = -v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -12*u**4 - 5168*u**3 - 20516*u**2 - 15360*u = 0?\nAnswer: -1280\/3, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -115376.961 to the nearest ten.\nAnswer: -115380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*a + 1027 + 2604 - 901 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-12))\/(134 + (-94361)\/1016)?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 276 = -o - 0*o, o - 4*g - 296 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418050 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1416321 = -564321. What is w rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179037264 to the nearest integer?\nAnswer: 13380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4894090 - -4893813.0647. Let q = -0.0647 + a. Let k = 276.999869 + q. Round k to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3005 minus -1486630?\nAnswer: 1486615.6995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 2*p**2 - 3*p - 2. Let b be o(-2). Solve 0 = 5*s - b, 0 = -3*z - 2*z - 2*s + 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22802 (base 16) in base 11?\nAnswer: 97198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 15) to base 7\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -906*w**2 + 1034*w**2 - 1713*w**2 - w**2 - 1 + 1 + (-3*w - 3*w + 4*w)*(3 + w - 3) + 3 - 3 + w**2 + 3*w**2 - 4*w**2 + 0*w**2.\nAnswer: -1588*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2)\/8 + 35\/4. Suppose 9*p = c*p - 243. Is p > -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Suppose 4*w - 11192 = 17*s - 15*s, 5*s + w + 28024 = 0. Is 19 a factor of f\/(-9) - s\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 - ((-1)\/((-3)\/(-9)) - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13 = -5*k + 1, 5*k - 22 = -3*y. Suppose 44 = 3*n - h, -k*n + 41 = -2*h - h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/55)\/(66\/(-5324)))\/((-3)\/(-9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 - 9*v + 8. Suppose -26 = -4*h - 3*u - 1, 5*h + u = 34. Is z(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**4\/3 + 2307632*x**3\/3 + 665638757996*x**2\/3 - 1331298284752*x + 1996957811526 = 0. Calculate x.\nAnswer: -576911, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5688352 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3751 = 5*a, 717 = 2*m - 5*a - 1146. List the prime factors of m.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 6*a**3 - 10*a**3 - 16*a + 0*a - 9*a**3 + 7*a**3 + 2*a + (-4*a - 3*a + 5*a)*(-4*a**2 + 5*a**2 + a**2).\nAnswer: -9*a**3 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 5 - (7 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -x - 6*o + 3*o, -x + 83 = -4*o. Let s = -207\/2 + x. Are s and 188\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1, -4, 2 in ascending order.\nAnswer: -4, -1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1373 = w - 1374, w + 8 = -4*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48467109?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 40\/39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/6 + 2\/(-4). Let c(z) = z**2 - 3*z + 4. Let l be c(k). Put l, 7, -1 in decreasing order.\nAnswer: 7, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2439 in -7.9, 0, -1, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 - 2*b**2 + b. Let t be g(1). Let q(a) = 5*a - 14. Let v(h) = -9*h + 26. Let k(i) = -11*q(i) - 6*v(i). Determine k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -48. Let s = 6 + -24. Let u = -9 - s. Calculate the remainder when g is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199350 + 97350. What is z rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*v - 70 = 0, -28 = -k - 2*k - 4*v. Suppose 6 = -p + k. Let n = p - 7. Calculate the greatest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - d**2 - 5*d**2 + 2*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-90)\/63*7 - -12. Let l(h) be the third derivative of -2\/15*h**5 + 0*h**3 + 1\/20*h**6 + 0*h - 3*h**j + 0 - 1\/3*h**4. Solve l(k) = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-8)*3*(-13)\/(-2). Is (7 - 2) + -1 + c\/1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 1}. What is prob of sequence ja?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*v - 12, -5*b = -4*v - 5 - 1. Let u = 15 - b. Which is greater: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 4 (c) 6\/47 (d) -0.17 (e) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 148\/24)\/((-2)\/(-3)). Let u(v) be the first derivative of -5\/3*v**3 + i*v**4 + v**2 - 8 + 4*v. Give u(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1485192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746968794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-159)\/(-9) - 8\/12. Suppose 3*k - o = -x, 4*x = -4*k + 21 + 7. Suppose 0 = -x*u + 7*u - 60. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 19773272?\nAnswer: -19773268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3567649, -7135291, -10702937, -14270587, -17838241, -21405899?\nAnswer: -24973561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 q, and 1 d when four letters picked without replacement from {d: 2, q: 6, a: 5}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z - 3 + 3 - 8*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3\/6 - 29*a**2\/2 - 132*a. What is i(0)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 - 153*m - 57. Give a(-9).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 2, -281, -28 in decreasing order.\nAnswer: 3, 2, -2, -28, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/3 (b) 0.5 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 679876604 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442978033 to the power of 1\/2, to the nearest integer?\nAnswer: 37987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**4 - 57*c**3 + 57*c**3 + c**4 - c**4 + 3*c**4 + (-1 - 1 + 4)*(1 - 1 + c**4).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001004 to 6 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322417064.\nAnswer: 2, 59, 683087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 0.5, 1, -2, -3 in ascending order.\nAnswer: -3, -2, 2\/25, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 - -119. What is the greatest common divisor of y and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*h - h = 7672, 0 = -2*h + 6. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -2.8, 2\/7, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 take away 183643278?\nAnswer: -183643270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28636 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*t**2 + 2885*a**2 + 7*a*t + 2*t**2 - 45*t wrt t?\nAnswer: -4*a**2*t + 7*a + 4*t - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 4*o - 1. Let g be -29*1 + 15 + -12. Let p = g - -29. Suppose p*f = -3*f + 6. Let b(y) = -y. What is f*s(v) + 4*b(v)?\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 2987?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -7*j - 24. What is the smallest common multiple of j and ((-2)\/(-30)*18)\/((-2)\/(-15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 38*w**3.\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - 24) + -74 + 19\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1560 and 124552?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -528, 3979, 8486, 12993, 17500, 22007?\n\"Answer: 4507*v - 5035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -314752*r + 7868809. Give x(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + -3 + 10 - -173 and 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*r, 22*y - 13 = 23*y + 5*r. Let d(j) = -2*j**3 - 2*j**2 + 2*j + 2. Let c be d(-2). Solve -s + c = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2473*d = -834*d + 655*d + 332630 for d.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1812.207 + 1814. Round t to two decimal places.\nAnswer: 1.79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + q - 621 = 0, -3*s - 377 = q - 6*q. Let x = -3\/3542 - 215175\/1771. Let y = s - x. Which is greater: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 10. Let l = 10024 + -10063. What is the third smallest value in l, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - a + 4 + 2*a + 0*a - 3*a + (-4 - 2 + 4)*(-2*a + 5*a - a) + 0 + 3*a - 12 - 1.\nAnswer: -3*a - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3844\/387 + 107\/43. Which is smaller: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2 - 2)*(-o**3 - o**3 + 0*o**3) - 2*o**4 - 4*o**4 - 2*o**4 as k*o**2 + u*o + m*o**4 + i + f*o**3 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 38*f - 301. Let q be y(-11). Let r = 40 - 28. Suppose 3*t + 3 = -5*b + r, 3 = -b - 3*t. Is q <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155752+0.8105\nAnswer: 155752.8105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 55 = -20. Suppose w*u = -3*m + 160, 2*m + 71*u - 76*u - 115 = 0. Are m and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -80. Is c - 2*(-1)\/2 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -108, -120, -132?\n\"Answer: -12*q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 10 = 0. Let t = o - 0. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 10, -j = -0*f + 5*f - 29. Suppose -5*g - j*i - 27 = -2*i, 4 = -4*i. Sort 4, 0.06, g.\nAnswer: g, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3551\/9 + -379. Let q = y - 293\/90. What is the common denominator of q and -55\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666025881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -20, -15*j - 5*n = -11*j - 13245. What is j rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161238)\/2002 - 2430\/(-30)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {r: 1, l: 5, h: 1, n: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 4*x**2 + 2*x + 4. Let o(u) = u**3 - 22*u**2 + u - 27. Let f be o(22). Let m be 10\/(-25) - (-13)\/f. What is w(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -54. Let z = 0.02 - -0.08. Let g = -1.1 + z. What is the second smallest value in 1, 0.1, g, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -60*y**2. Let r(k) be the first derivative of -6*k**3 + 841. What is r(x(p))?\nAnswer: -64800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y + 7. What is c(-5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 m, and 1 z when three letters picked without replacement from kxzzzkzzmkzz?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgdppydgagdddgapdd. What is prob of picking 2 a?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2 + 14\/(-28))*-3. Which is the closest to -1? (a) j (b) -2\/9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2703, 10895, 24565, 43713?\nAnswer: 68339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 - -1 - (45876\/(-11232) + 10) and -127\/54.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 + 6. What is the second biggest value in 4, 0.4, 13, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -113 or 1127?\nAnswer: 1127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493113?\nAnswer: 3, 164371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300.7264+1059966.9\nAnswer: 1060267.6264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 18. What is s(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80903504 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3616\/(-5424))\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = -4*j + 3*r, -j = -4*r + 20. Let l = -5 + 7. Solve 0 = -4*n + 8, j*m = l*m - 4*n + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 850\/(-15)*3141\/1745?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -43?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*(-550)\/165?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, 2\/11, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 456\/181 - -653852\/543. Let j = 1193 - o. What is the common denominator of j and (-1207)\/170 + 2\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265 - -669. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11247057 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180*m**2*y - 141*m**2 with respect to y.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -48. Factor 8 + 50*l**u - 2*l - 49*l**2 - l - 6*l.\nAnswer: (l - 8)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -233 - 3*q + 62 + 39 + 2 - 61 in the form n + b*q and give n.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5108 - 5108.053068. Round m to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 g when three letters picked without replacement from {f: 5, p: 1, g: 5, j: 1}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 7*c**2 - 12*c. Let b be j(-10). Suppose b = 7*d - d. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1457770.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1943 + 61. Suppose 4*c = 4*x - a, -x - 3*c + 322 = -171. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -173547?\nAnswer: -520641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.875377 to three decimal places.\nAnswer: -2.875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdbddpvdp. Give prob of picking 1 d and 1 v.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37887601 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3244 (base 7) to base 12.\nAnswer: -807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-2*28\/(-8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ccc2 (base 14) to base 8\nAnswer: -674312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1. Let l(h) = -2*h - 6. Suppose -2*j = -2 - 0. What is j*l(a) - 5*r(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + (6 - (-14 + 0 - -82))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -124, -1537, -3868, -7099, -11212?\n\"Answer: 3*b**3 - 477*b**2 - 3*b + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822343 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2701 + 391647\/145. What is the second smallest value in x, -5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owx when three letters picked without replacement from {w: 1, x: 1, a: 1, b: 1, o: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1923*r - 49772. What is q(26)?\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492.815 micrograms to tonnes.\nAnswer: 0.000000000492815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -259, 5, -7, 30 in decreasing order.\nAnswer: 30, 5, -3, -7, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -401.5*1\nAnswer: -401.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4924*d - 2459*d - 2464*d. Let i(p) = 3 + p**2 + 1 - 2*p**2 + 34. Calculate i(h(r)).\nAnswer: -r**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 85, 86?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1211 = 1213. What are the prime factors of (-4)\/3 - t\/12?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.76592*0.2.\nAnswer: -4.353184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/(((-64)\/(-3840))\/(1\/5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 4*q, 4*u = 5*q + 749. List the prime factors of u.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 160 = -38*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 39. What is the lowest common multiple of 3 and o?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**3)\/b)\/(b*b*b**(1\/3)*b))**(-13\/3)*b**(-43)\/((b\/(b**(-4)*b))\/(b\/(b*b*b**(-4\/3)*b))) assuming b is positive.\nAnswer: b**(-416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 1777036543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -8 + 3. Suppose -j - j + 434 = -5*r, -4*j + 898 = b*r. Let i be -6000*(j\/(-9) - 2). Round i to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*b - 342*b + 736*b.\nAnswer: 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvii when four letters picked without replacement from vvdidvuvdki.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -2*f. Suppose 3*w = -q + 1 - 11, 30 = f*q - 4*w. Suppose 0 = q*z + 1 + 4. What is the closest to z in -4, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98800 to the nearest 1000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 14\/15*b**3 - 2 + 2\/5*b**2 + 0*b. Factor z(h).\nAnswer: 2*h*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**3 + 14*q**3 - 4*q**3)*(0*q + 2*q - 8*q) + 3*q**4 - 4*q**4 - 3*q**4 in the form t*q**2 + l*q**4 + d + w*q**3 + h*q and give l.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -179851, -359665, -539479, -719293?\n\"Answer: -179814*x - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let g be c(6). Let u(i) = 25*i**2 - 14*i + 7. Let v be u(1). What is the greatest common factor of g and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 141 in -1\/4, -0.1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -1\/166 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304708761 to the power of 1\/2, to the nearest integer?\nAnswer: 17456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6 = i, 7*i - 2 = 2*i + 4*p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) 0.03129 (c) -0.04 (d) 1 (e) -0.1 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*x = -3*x - 1707, p = -5*x - 555. Let q be 133\/p*(-19765)\/2. Let c = q + -2316. Find the common denominator of c and -55\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 1, e: 1, p: 2, z: 3, w: 3}. Give prob of picking 2 z and 1 e.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 8. Let v be p(6). Let a be 0\/(-1*(-2 + v) - 0). Let c(s) = -s**2 - 2*s + 5. Let i be c(a). Put 1, 3, i in decreasing order.\nAnswer: i, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldp when three letters picked without replacement from ppdl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.353 + 0.061.\nAnswer: 5.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5\/8 - 7923*o**4\/8 + 25005*o**3 + 29955*o**2 - 100014*o - 103974 = 0.\nAnswer: -2666, -2, -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 - 5*t + 5*t. Let k(z) = z. Let i(o) = -8*o. Let y(f) = i(f) + 6*k(f). Give y(s(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/192*(-6)\/21?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.534 times 0.53\nAnswer: -2.93302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 2*h + 2, -f = 2*h - 8. Suppose -5*w = -4*r + 10, 4*r - 6*r = h*w + 28. Let q(k) = -k**2 - 6*k - 5. Determine q(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 180 in ascending order.\nAnswer: 3, 5, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -18. Factor -v**x - 291*v**2 - 4 + 279*v**2 - 36*v + 4.\nAnswer: -v*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:28 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177512 to the power of 1\/2, to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129177 greater than 1128722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1886 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**3 - 2*s**2 - s - 1. What are the prime factors of d(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*c + 68 = 0, 5*c + 91 = 3*j - 51. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 3:08 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + -18. Suppose 228 = -4*s + z, -616*s = -614*s - z + 116. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 31. Give m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10011?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 28\/(-4) + (-3)\/(-1). Round o to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t = -12. Suppose -2 = t*v + 4. Sort v, 3, 5.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5397011 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7956)\/5967 - (((-6720)\/(-9))\/10 + -5)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 82. Let t(p) = 9*p**4 + 25*p**2 - 21*p. Let m(f) = 2*f**4 + 6*f**2 - 5*f. Let x(n) = g*t(n) + 26*m(n). Solve x(o) = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 + 1468*o + 2.\nAnswer: 1468*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23974 - -64667. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4967, 5092, 5217, 5342, 5467, 5592?\n\"Answer: 125*d + 4842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(242)*-2)**2 - sqrt(242) - (-3 + (1*sqrt(242))**2 + sqrt(242)) - (4*(sqrt(242) + 1) - (sqrt(242) + 5*(-1*sqrt(242) - sqrt(242)))**2))*-5.\nAnswer: -116155 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4263065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 0.4 (c) 2 (d) 2\/13 (e) 16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-15)*(l*l**(-4))\/(l**3*l) assuming l is positive.\nAnswer: l**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z - 262 = -3*z + 1138. What is the highest common divisor of 476 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d*d**(-1\/2))\/(d\/(d\/(d*d**4))*d**(-8)) assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 779. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k**2 + 705*k + 6. Calculate f(-47).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -169*s + 446 + 704 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*a - 6*g - 177, -189 = 5*a - 2*g. Let z = a + 32. What is the units digit of (6\/(-3))\/2*z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -5\/36, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120210 + -1?\nAnswer: 11120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 31.26015 and 0.06?\nAnswer: 31.20015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2100 and 97211800?\nAnswer: 291635400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from ceakyok.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 0, j - 75 = -5*m - 0*j. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2586902, 5173814, 7760726, 10347638, 12934550, 15521462?\nAnswer: 18108374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41322113 - 0?\nAnswer: 41322113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*k**3 + 3*k**3 + 3 + 32*k**3.\nAnswer: -9*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/2))\/q**(-2\/7))**(28\/9) assuming q is positive.\nAnswer: q**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 12 = -2*b - 2*x, -b = 2*x - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1246447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3540881\/8 > -442609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 39946016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (53 + -101) - (42 - 0).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, o: 12, a: 1}. What is prob of picking 1 a and 1 o?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000310069 to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2242411 (base 5) to base 16\nAnswer: -9da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*q, -l - 2*l = -2*q - 23. Solve -4*a + 7 = l*k, 2*k - 14 = -0*k + 4*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 6:00 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*3972\/(-40) - (-6)\/15. List the prime factors of (-13)\/(-26)*(1 + m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72274 - -72276. Let m be (-87)\/(-60) - (-1)\/(-5). Factor -m - 75\/4*i**c - 20*i.\nAnswer: -5*(i + 1)*(15*i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (631 - 631 - 80*v)*(3 - 6 - 3) + 2 - 2 + v as q + p*v and give p.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 451335.204 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 29 = 5*u + 21, -5*x = 3*u + 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8211 by -69.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513 + 513 - 14*i**2.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*p + 23, -2*p + 11*o = 8*o - 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -311, -931, -1861, -3095, -4627?\n\"Answer: z**3 - 161*z**2 - 144*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64180 - 18730. Let t be d\/707 - -2*1\/(-7). Solve 66*y - t*y = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (4 + -2 - 0). Let o(y) = -2*y - 3. Let x(i) be the first derivative of 30 + 0*i - 9*i + 7*i - i**2. Give w*o(k) + 3*x(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 3853615293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20175 + -1?\nAnswer: -20176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*5\/((-70)\/91). Suppose 0 = -4*p, 2*p = x*a - 15*a + 16. Solve a*r - 35 = -3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-3 + 4 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553102 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -1 - (-8 + 14 + (-52 - 71) - -24)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*m + 40*m + 36*m - 4551*m**2 + 4556*m**2.\nAnswer: 5*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 18*g - 8 + 12*g. Let j be z(-10). Suppose j*n - 282 = -4*r, -4*r = r - 5*n - 345. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18015517 is divided by 4408?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (11 + -4 - 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 9*n - 3*n**2 + 9 + 2 - 11 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 18*p**3 - 5*p**2 + 6*p - 24. What is the hundreds digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-22)\/1*-2*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgbbtgoggtbwtgbwo. What is prob of sequence gogb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -141? (a) 3 (b) 0.2 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 5*r + 3. Let a be p(4). Suppose -3*h = 26 + 22. Let k = a + h. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100320340 + -30443?\nAnswer: 100234342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 8. Let a be z(-5). Suppose a*w = -4*r + 518, -2*w - 121 = -r - 7*w. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + g**2 - 2*g**4 + (50*g**3 + 65*g**3 - 145*g**3)*(g + 0*g - 3*g) to the form w*g**4 + d*g**2 + u*g**3 + o + l*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 171*o - 264. Calculate j(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 106 = -92 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/11 + 7279202*v**2\/11 + 36396060*v\/11 = 0?\nAnswer: -5, 0, 3639606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 68. Let i be (-8*k\/(-2))\/(-2). Suppose -3*z + 8*w = 3*w - 136, i*z - w - 86 = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 1, x: 4, a: 6}. Give prob of sequence xd.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263151.\nAnswer: 3, 7, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 108*k**4 - 2604*k**3 - 5192*k**2 - 2896*k - 416 = 0.\nAnswer: -1, -2\/3, -2\/9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 360.34 (b) -0.1 (c) -4\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(2 + 2*v - 2)*(-v + 3*v + 2*v).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7443, -29739, -66901, -118929?\nAnswer: -185823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -718, 6, -1, -3 in ascending order.\nAnswer: -718, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2. Let z(x) = x - 3. Let m(w) = 3*s(w) + 2*z(w). Let r(o) = 95*o + 29. Let u(p) = 938*p + 295. Let f(i) = -61*r(i) + 6*u(i). What is m(f(b))?\nAnswer: -334*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 27. Let q = -10 - -16. Suppose 9*r = q*r + 27. What is the greatest common factor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -57, 3, -4, -5, -7, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -131, -210, -289, -368?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -13. Let n = -169.92 - -169. Let p = n - -0.92. Which is the third smallest value? (a) p (b) r (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4817 (base 11) in base 9?\nAnswer: -8581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*o = 0, -4*o = 2*a - 0*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*d + 21*d + d**2 + 552*d + 445*d + 1851*d**3 - 1853*d**3 in the form n*d + v*d**2 + t*d**3 + o and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((11856\/(-182))\/38)\/((-234)\/(-9282)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 773*g**5\/20 + g**3\/2 - 903*g**2\/2 - 6797*g. What is the derivative of q(r) wrt r?\nAnswer: 2319*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 280.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-292)\/1095)\/(87\/290)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641500 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4659 is divided by 4632.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -93932 (base 11) to base 5\nAnswer: -13340021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/6 + -1\/2. Suppose 0 = -5*v - 2*j + 15, 3*v - j = 2*j + 30. Let s = -1 + v. What is the third smallest value in -0.2, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27837, 27814, 27791, 27768?\n\"Answer: -23*t + 27860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 12:36 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32\/28259 - 3788207\/26280870. Find the common denominator of t and -26\/279.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 20. Let t be x(18). What is the hundreds digit of (0 - t\/(-6)) + (-13216)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*b - 3186, -3*b = -5*i - 6*b + 5294. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001122121002 (base 3) to base 9.\nAnswer: -3048532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z, 4*h + 3192*z + 7 - 2 = 3196*z + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -171 - (4 + -70) - -29\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 1285 = 4*l. Suppose -4*g = -5*y + l, 3*g + 254 = y + 4*y. Let q = -226 - -569. Calculate the greatest common factor of y and q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 + 320*s**4 + 26356*s**3 - 4671120*s**2 + 27281358*s - 40541040 = 0. Calculate s.\nAnswer: -120, 3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -388?\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88794 + 1068?\nAnswer: 89862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a + -16bb?\nAnswer: -16d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4980*q**5 + 8*q**4*w**2 - 6875*q**2 - 2*q*w**2 + w**2 wrt q.\nAnswer: 298800*q**2 + 192*q*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 + 18*m**2 - 2 - 11*m**2 + 23*m**2 + m**3 to n*m**3 + t*m + j*m**2 + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 125*s**2 + 11*s - 23. Let o(u) = -63*u**2 - 5*u + 11. Let q(n) = -5*o(n) - 2*x(n). Let t(l) = l. Let i be t(4). Is q(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 + 34*r**2 - 7*r**2 - 1 - 18*r - 5*r**2 in the form h*r**2 + y + m*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/((u\/(u\/((u\/(((u*u**8\/u)\/u)\/u*u))\/u)))\/u)*u)*u)\/((u*u\/(u\/(u*u**(1\/22)*u)))\/u)*(u*u**(-11))**11)**35 assuming u is positive.\nAnswer: u**(-93205\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 6 + 6)*(0 - 14 - 116).\nAnswer: 130*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189*x**4 - 134 - 2115 + 3932*x**4 wrt x.\nAnswer: 16484*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 20. Let w be m(0). Suppose -5*r = -7*r - h + 14, -5*h = -5*r + w. Solve g + 2*i + r = -3*g, -5*i - 15 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((7\/28)\/(6\/8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*j - 2, -5*w + j + 25 = 2*j. List the prime factors of (14\/w - -2)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**3 + 4*m**2 + 31*m - 591. Let b(a) = -26*a**3 - 11*a**2 - 93*a + 1774. Let j(s) = -4*b(s) - 11*w(s). Find the first derivative of j(r) wrt r.\nAnswer: 15*r**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w = 0. Suppose -c - 1 + 7 = 0. Solve w*y - 3*y = -c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 24*h**2 - 5*h - 6. Let z = 20 - 19. Suppose -z = 5*c + 9. Is u(c) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 439495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 28*d + 3 + 4*d**2 + 32*d - 71*d. Let j be h(3). Solve p - j = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*s - 336 = -325*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -28 - 26. Let z be (y\/15)\/(-2)*1. Solve -2\/5 - z*c**2 + 7\/5*c + c**4 - 7\/5*c**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 = w. Suppose 2*c + 32 = -4*y, 4*y - 20 = 2*c + 5*y. Let s = -6 - c. What is the lowest common multiple of s and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 819 is divided by 131?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Let z = 43 - q. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let y(q) = -q - 1. Let o(b) = 43*b + 2. Let c(x) = -o(x) - 2*y(x). What is c(d(v))?\nAnswer: 82*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*o**4 - o**2 - 137*o.\nAnswer: -3984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -826, 4 in descending order.\nAnswer: 5, 4, -826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 29*z**2 + 8*z + 218. Calculate u(-29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 592183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6063*b**2 - 6013*b**2 + 18164*b**2 - 6086*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (356928\/(-640))\/(-429)*(-12)\/143\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*1\/((-2)\/(-3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 92 = -8*a + 3*b, 23*a - 5*b = 14*a + 11*a - 155 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*i - 1459*i = -736*i - 112 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-25 - -21) + -1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 - 113216748*d\/5 + 1602254003461938\/5 = 0.\nAnswer: 28304187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3203a57 - 24?\nAnswer: 3203a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26286479306 - -2.9?\nAnswer: 26286479308.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 695980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 * 0.1\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2270394*o + 2970772.\nAnswer: 2270394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 3, 4, -6 in descending order.\nAnswer: 27, 4, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -266757019 greater than -533514037\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5950342 is divided by 2975170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**0)\/(d\/((d**7\/d)\/d)))**47)**(-11\/5) assuming d is positive.\nAnswer: d**(-517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 230, 414, 646?\nAnswer: 926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 25 = 2*c + 21, 4*c + 16 = 2*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(208) + 0)*6 + (sqrt(325) - 1*2*sqrt(325)))**2.\nAnswer: 28158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*-6*((sqrt(21) - 1*sqrt(84)) + sqrt(21)))\/(sqrt(70)\/(sqrt(70)\/sqrt(7)) + sqrt(7) + sqrt(252)\/sqrt(9) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let a(s) = -s - o*s + 2*s + 5. Let i be a(5). Solve 4 = -u - i*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -33*y**2 - 53*y - 163. Determine h(-5).\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050039 rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 3*z + 37. Let n be -1*((-9)\/3 + 14 + 0). What is the hundreds digit of v(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456984480.\nAnswer: 2, 5, 7, 43, 30253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -6.7. Let t = 9 - v. Let o = -4 - 0. Which is the smallest value? (a) -1 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673886.\nAnswer: 2, 3, 278981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.2 in -2, -0.5, -1\/73?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1302688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 51*i**2 + 33*i**2 + 34*i**2 - 20 as l*i + m + z*i**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*p + 9 + 8 = 0, -4*k + p = 19. Let l(f) = 23*f**3 - 1. Let a be l(1). Suppose -20*m - 4 = -a*m. Sort m, -1, k in descending order.\nAnswer: m, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -6 - (-2 - -6 - 35)) + 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -3*g - 14388. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**4\/4 + 5*g**3\/3 - g**2\/2 + 6*g + 5. Determine j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4530197715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (28 + (20 - 32 - 46))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, 2, -1, 4 in descending order.\nAnswer: 232, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**2\/11 + 21884*v\/11 - 59863682\/11 = 0.\nAnswer: 5471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3038014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -0.1, 2\/15, -217, -27?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24839217 or 24839219?\nAnswer: 24839219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.3 + -10. Let k = -0.1 - o. Let r = -1 + 1.1. What is the second smallest value in r, -2\/7, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60375047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 499 + -496. Solve 5*b - 5*l - 45 = 0, -v*l - 2*l = 2*b + 17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6))**(-19\/4)\/(((l*l**(-3))\/l)\/(l\/(l\/((l\/l**(-2\/17)*l)\/l)))) assuming l is positive.\nAnswer: l**(2003\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 + 16*r - 4. Let o(s) = -5*s**2 - 17*s + 3. Let x(l) = 5*o(l) + 6*z(l). Is x(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -22*s - 113. Let u be k(-8). Solve 23*x = 2*x + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.9920654 minutes?\nAnswer: 0.03320109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 1511380*z**2 + 1511378*z**2 + 4.\nAnswer: -2*z**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21089 - -42?\nAnswer: -21047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + (sqrt(110) - (sqrt(110)*-3 - sqrt(110))) + sqrt(110))*-3 + sqrt(110))*-1)\/(-6*sqrt(60)\/sqrt(216)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 138*4\/(-8) - -1. Suppose 0*l - 10 = -2*l - 5*z, -3*l + 3*z + 15 = 0. Put l, u, 1, 4 in ascending order.\nAnswer: u, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915952 is divided by 4422?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddudu. What is prob of sequence ud?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 6*n + 12. Let l be w(6). Let j be (-2 + l)*(-9)\/(-2). Let q = j + 232. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 - 8 = -2*i, -5*t = 3*i - 5. Suppose g = -i*g + 5. Sort 1\/8, g, -5.\nAnswer: -5, 1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*3*-5 + sqrt(117) + (sqrt(117) + (sqrt(117) - (sqrt(117) - sqrt(117)*2)))*-3 + sqrt(117))\/(-2*sqrt(324)*2*-6).\nAnswer: -11*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/891*(-806)\/(-28). Let r = b + 1\/99. Let s = 1 - 1.4. What is the second biggest value in s, -0.3, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 3*l**4 + (l + 3*l - 6*l)*(3*l**3 + l**3 - 3*l**3) + l**4 - 2*l**3 + 2*l**3 to the form v*l**4 + s*l + f + r*l**3 + p*l**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145192*d*s**3 - 15*d*s**2 + 361*s**3 + 2162424*s**2 wrt s.\nAnswer: -871152*d + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18844a2 (base 11) in base 4?\nAnswer: -30021012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.19 + 3. Let q = t + 0.19. Which is the nearest to q? (a) -4 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31903*-0.5.\nAnswer: 15951.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-3)\/(-2) + -1). Let h be -8 + -4*(-18)\/24. Is ((-664)\/(-20))\/(g\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 + r**2 + 160*r + 479. Give o(-3).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1*(-5)\/2*6\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 3806468*l**4 + 7612950*l**3 - 11419416*l**2 = 0. Calculate l.\nAnswer: -3, 0, 1, 1903236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-35)\/15 - ((-13834362)\/18)\/17 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 1. Let z(h) = 25*h - 175. Let a(d) = -6*g(d) - z(d). What are the prime factors of a(-15)?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxcxy. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6)*(2 + 1 - 6)*(2 - 2 - f**2).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62693537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 + 2*w**2 - w**2)*(3 + 1 - 2) + (4*w - 3*w - 4*w)*(3*w + 29*w - 9*w) in the form l + y*w**2 + h*w and give y.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**2 - 9*d + 1. Let v = 527 - 670. Let c = v - -137. Give x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-137 - -172) + (-1 - 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/94650 and -47\/63225?\nAnswer: 79789950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**3 + v - 1. Let h be t(1). Let o = 8 + h. Let c = -8 - -7. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 87130931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10537*r*u**2 + 204*r*u - 706*r - 65*u**3 - 16*u**2 + 12*u wrt u.\nAnswer: 21074*r - 390*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -173 divided by -1561981\nAnswer: 173\/1561981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 0, 4*j - 5*w = -0*w - 2. Let v(x) = -4*x**2 - 185*x - 678. Let u be v(-42). Solve j*m = 2*n, -n + 5*m = -5*n + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296*y = 299*y - 6. Suppose 29*b - 55*b**3 - 19*b - 5*b**y - 16*b + 54*b**3 = 0. Calculate b.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (-5 - (-3 + -1)) + (-22 - -17)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**4\/3 - 3*y**2. Let n(s) = 2*s. Give n(t(q)).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1363 - 1a?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914468 less than -3?\nAnswer: 1914465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(80)*-3)**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2\/5*p**2 - 2\/5 - 4\/5*p = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*j - 4680 = 101*j. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/61262 and 41\/1140?\nAnswer: 34919340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 + -71. What is the fourth smallest value in -0.01, 2\/7, 0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/7)\/v)\/((v**(-5\/3)*v)\/v)*(v\/(v**2*v))\/(v**12*v))**(4\/9) assuming v is positive.\nAnswer: v**(-1132\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -1)*(40\/(-5) + -52)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.53 * -6710.8\nAnswer: -50532.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 185 - 203 - (-2 + -23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = 12, 4*x - 54 = -2*m. Let c be 38\/x + 10\/(-60). Find the third derivative of -5*p**2 + 3*p**6 - 7*p**6 - c*p**6 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 158\/(-3)*3\/(-2). Suppose 4*g - v = 2*h - 3, h = g - 41. Let j be (-8)\/h + (-40)\/(-22). Let q(p) = p**2 - 2*p - 1. Calculate q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 1)*(2 - 1 + 0)*(3*s + 7*s + 32*s + (-3 + 1 + 1)*(s + 3*s - 2*s) - 3*s + 2*s - 2*s + 6*s + s - 5*s) in the form z + q*s and give q.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -502*t + 5524. Give h(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204 times -13560?\nAnswer: -70566240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - -33.09. Is a greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-1)\/2*2). Suppose -3*o + 12 = -n*o. Factor 2*w**4 - w**4 + 2*w**2 - 3*w**o.\nAnswer: -2*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 5*n - 5. Let a be u(1). Is a not equal to 7\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -191 - -210. Solve z = 2*c + 1, 5*z + 2*c - 4*c + b = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 85774, 85776, 85778, 85780?\n\"Answer: 2*x + 85772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 7, e: 5}. What is prob of sequence xex?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100.545 + -0.055. Let u = d - -105. Let l = 5.6 - u. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/6)\/((4\/(-192))\/1) and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -721 (c) -2 (d) 6 (e) -20.2 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 3 - (-33 - -40)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.49735462 to 0 decimal places.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 3*q**2 - 3*q**2 + 2*q - 2*q - 7*q**2 + (-2*q - 2 + 2)*(4*q + 3*q - 5*q) + 0*q**2 + 2*q**2 - q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.22. Let h = z + -5.08. Let w = h + 3. What is the third biggest value in w, 5, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1010.297 + -5.503. Round o to the nearest ten.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-18)\/(-4644)*90\/20.\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-56)\/9 - (-2)\/9. Let h = f - -1. Let y(g) = -4*g**2 - 5*g + 3. Let d(s) = -7*s**2 - 9*s + 5. Calculate h*y(a) + 3*d(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 175*i**2. Let p(j) = j**2. Calculate p(q(k)).\nAnswer: 30625*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6182 and 2512140?\nAnswer: 27633540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -944551\/4 less than or equal to -236139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((4 - 3) + (-41 - 1))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258 or 3\/238?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 2*p + 10. Let c = p + 3. Suppose 3*z + 4*k - 7 = 2*k, -z + k - 1 = 0. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/4, 1.243, 5 in descending order.\nAnswer: 25\/4, 5, 1.243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 72 - g + 179)*(-7*g + 11*g + 33*g).\nAnswer: -37*g**2 + 703*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25088541251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10111232 + -2103?\nAnswer: 10103123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*x**2 + 81*x**2 + 2*x**3 - x**4 + 4 to a + z*x**4 + l*x**3 + d*x**2 + j*x and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, 100, 1, -323 in increasing order.\nAnswer: -323, -1, 1, 3, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*u + 13 = -5*d - 339*u + 38, -5*u = -0*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8082 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38818 rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2*l**2 - 2*l - 3. Let n(r) = -35*r - 27. Let q(d) = -17*d - 14. Let w(i) = -3*n(i) + 5*q(i). Give -11*o(c) - 2*w(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 - 6*t + 0*t**2 + 3*t**2 - 10*t + 14*t as u + m*t + i*t**2 + h*t**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -42947 times -8?\nAnswer: 343576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*o, 0*d + 5*d + 2*o = 12. Let i = 4 - d. Solve -4*f + 11 + 1 = i, -3*j - f = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/(157\/7065).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = 3*u + 2*m, 5*u - 5*m - 968 + 128 = 0. Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 203606\/738 - (-1)\/9. Solve -17*c = 29*c - v for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17330, -34649, -51966, -69281, -86594, -103905?\nAnswer: -121214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 189, -3 in descending order.\nAnswer: 189, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1071 - -0.0071. Let u(x) = 7*x - 2. Let l be u(4). Which is the second smallest value? (a) l (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3643 + 3729.2. What is the biggest value in -4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1099 and 185417.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1869097445?\nAnswer: 5, 373819489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = -0*y. Let f be 0 + (y - 3) - -1. Is 5 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049991726 rounded to 7 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 9 = i. Let o(x) = -i + 3 + 5*x. Let j(k) be the third derivative of k**4\/24 - 87*k**2 - k. Give o(j(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 13. Calculate the smallest common multiple of i and 2248.\nAnswer: 6744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -20*g**2 - 3*g - 2. Let t(d) = d - 5. Let w(a) = -21*a**2 + 2*a - 33. Let b(k) = 6*t(k) - w(k). Determine 2*b(s) + 3*z(s).\nAnswer: -18*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:39 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146 + 597 + j - 1371*j**5 + 4641*j**5 - 2*j**4 wrt j.\nAnswer: 65400*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 580, 1242, 2152, 3310, 4716, 6370?\nAnswer: 8272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39348 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/30 + l**5\/15 - l**4\/3 - 6*l**2 - 9*l. Let p(b) be the first derivative of i(b). Suppose p(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**4\/24 - 3*o**3 - 3*o**2. Let b be s(20). Let h(r) = 0 - r**3 - 5*r**2 + b + 0 + 4*r**2 + 5*r. Determine h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 18, -4, -0.24 in decreasing order.\nAnswer: 18, 2, -0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 174?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + 10 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 21 = 2*h, -49 = -z - h. Which is smaller: 42 or z?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2141809, -2141824, -2141841, -2141860, -2141881, -2141904, -2141929?\n\"Answer: -r**2 - 12*r - 2141796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from jnnjjrunrnjrrjr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.99999984 + 11. What is d rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 + 452. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5115\/316 + 5\/79. Let j be (1609\/(-3))\/(2\/(-3)). Let l = j + -841. What is the common denominator of l and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3407 - 0?\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211031 is divided by 39?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 21. Let z be i(-8). Calculate the highest common divisor of 52 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9090 is divided by 1144.\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 124579 divided by -9583?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/4)\/(-12*10\/390).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02823297 rounded to four dps?\nAnswer: 0.0282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(832)) + 3*sqrt(104)\/sqrt(8)*-1.\nAnswer: -51*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 574921457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 21, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6 = -9, 3*g + 5*c = -6. Let q = 0.458 - 0.158. What is the nearest to g in 5, -3, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*45\/12*27\/((-5535)\/2993)?\nAnswer: -73\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7405100 to the nearest one hundred thousand.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 2 u when four letters picked without replacement from zuquuuthhuzzqzzuzh?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 24*x**2 - 6*x - x + 9.\nAnswer: -24*x**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/31, -1\/4, 0.5, -3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d + 3. Find the first derivative of i**d + 10*i**3 - 9 - 8 wrt i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t + t - t + 6*t**5 wrt t?\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001002121111122 - 10?\nAnswer: -1001002121111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 82?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 4)*(-4*c - 8*c + 9*c)*(-7 + 2*c + 7 + (4 - 3 + 1)*(0*c - 3*c + c) - 6*c + 4*c + 3*c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*r**5 - 4*r - 35.\nAnswer: 3120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/11 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n - o = -300 + 455, 4*n - o + 87 = 0 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 4:28 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-4*s**5 + s**5 - s**5 + 0*s**5 + s**5 - 3*s**5 + (-2*s + 2*s - 2*s**4)*(2*s + 0*s + 0*s)).\nAnswer: 20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 442242 + -442239. Let s = 1 + -0.5. Which is the third smallest value? (a) 2 (b) o (c) s (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21941?\nAnswer: 37, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeieeeappippppxeia. Give prob of picking 2 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 - 2*s**2 + 12*s + 2. Let q(o) = -o**3 - o. Let h(g) = -m(g) - 6*q(g). Give h(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3.5. Let h = 11 + -16. Which is the smallest value? (a) h (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -415\/53 - -13883\/954. Find the common denominator of j and (-2)\/14 - 257\/(-182).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (-5 - 1) - -267.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -2*j**3\/3 + 1. Let z(p) = 570*p**2 - 1123*p**2 + 566*p**2. Determine z(w(d)).\nAnswer: 52*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3 + 4*b - 7*b + 0*b + 12. Give a(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47660*n**2 - 26*n + 9*n + 17*n - 47661*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1550 and 82\/743625.\nAnswer: 46104750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -233453055 + 15?\nAnswer: -233453040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*d**2 - 31*d - 96*d**2 + 31*d - 11.\nAnswer: -d**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1.42, 18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5355342 times 52\nAnswer: -278477784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -684 + 4785\/7. Which is the third smallest value? (a) w (b) -0.4 (c) 2\/3 (d) 2\/127 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205514582 divided by -6.\nAnswer: 200919097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -7*d + d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q + 12. Suppose q*j + 9 = 3*y + j, -y + 2*j = -2. Solve 0 = -v - 2*s - 4, 20 = -y*s + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*m + 106 = 0, -5*w - m + 152 = -5*m. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*o**2 + 5*o**3 + 64*o**2 + 61*o**2.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -430*r**2 + 2*r + 8. Suppose -3*s + 5*s = 22. Let b be x(s). What is b rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 44969?\nAnswer: 13490.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 902402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:26 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*j - 34 = 0, 2*p + 16 = 5*j - 5. Let i = 51300\/13 + -3946. What is the biggest value in i, p, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6527 - -5526.1. What is s rounded to the nearest ten?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 - o + 3*o**3 - 5 + o - 5*o. Let c(z) = 3*z**3 - 7*z**2 - 6*z - 6. Let s be 294\/(-28)*8\/14. Give s*i(y) + 5*c(y).\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + 4*f - 3*m + 126, 6*f - f - 9*m - 534 = 67*m for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 394 + -363 + (-1 - 41).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -653.6742 plus 23?\nAnswer: -630.6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 74*j - 229. Let w be u(-3). Solve 8*o = 5*o - 3, w*k + 5*o = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -60 (b) 0.5 (c) 4\/11 (d) -5 (e) 3 (f) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.06385.\nAnswer: -0.006385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -381175488*l**3*n**2 - 7*l**2*n**2 - 140*l**2*n - l**2 - 23*l*n**2 + 2*n**2 + 3 wrt l?\nAnswer: -2287052928*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = -35 - 40. Let o(h) = -19*h - 43. Does 46 divide o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 34*c + 7. Let f(q) = -11*q - 2. Let o(v) = -63*v + 7574. Let d be o(120). What is d*f(u) + 4*m(u)?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6703093*p. Let o(c) = -3*c. What is o(z(k))?\nAnswer: -3*k**2 + 20109279*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41976 is divided by 5521?\nAnswer: 3329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1292\/6*(4 - 50\/20). Which is bigger: 324 or q?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((-45)\/9)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**2 + 12750*z = 0.\nAnswer: -4250, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24874 - -5?\nAnswer: -24868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.81*-5.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 - 870*h**4 + 28990*h**3 - 297260*h**2 + 511005*h - 241870 = 0. What is h?\nAnswer: 1, 19, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11410665 (base 7) to base 5.\nAnswer: -224324122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101112101 (base 3) to base 13.\nAnswer: -3658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2812 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/((-3315)\/(-234))*(187\/(-132) - -1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - 2*m**3 + 3*m**2)*(-2*m - 3 + 3) + 106 - 388*m**4 - 68 - 34.\nAnswer: -384*m**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(11\/((-231)\/(-6))). What is the greatest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000010010100111011100 (base 2) to base 14.\nAnswer: -158d1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 6*t + 10. What is the remainder when 4 is divided by w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10332\/270)\/(-41)*6\/(-8)*-8.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttttottottotttot. Give prob of sequence oott.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 0. Let c(l) = l**3 + l**2 - l + 1. Let i(p) = 0*p**3 + 6*p**2 + 5*p**3 + 0 - 4*p + 4. Calculate x*i(m) - 4*c(m).\nAnswer: m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12*4\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 4*l + 10*l)*(-3*l + 4*l - 2*l) + 56*l - 36*l**2 + 1 + 34*l**2 + 3*l.\nAnswer: -19*l**2 + 59*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 9748*x - 155851. Calculate u(16).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 5*u**2 - 50*u - 120 = 0.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3561*w**2 + 126 + 7123*w**2 - 3557*w**2 in the form y + c*w**2 + k*w and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from coqnclx. What is prob of picking 1 c and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/20*(-115)\/69*14\/2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Let r = k - 3. Let l(b) = -3*b**2 + 2*b**2 - 8 + 0*b**2 + 4 - 4*b. Give l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -2 + -5 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13166 (base 7) to base 15\nAnswer: 10a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 1\/60*p**5 + 0 + 1\/4*p**4 + 5*p**2 + 1\/6*p**3 + 0*p. Calculate u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 + -366 + (3 + -1 - (5 - (1 + -1)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 11:35 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14863?\nAnswer: 89, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(1 - 2 + 0)*(-x - 2*x + 0*x) + 2*x + 2*x - 2*x - 32 - 18*x + 32 + (-3*x - 3 + 3)*(-3 + 5 - 3).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*u + 6 - 3, 5*k - 19 = 2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4542\/35 - -651\/5. Determine s, given that x*s**2 - 3\/7*s + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5295 + -2238. Is 24\/(-64) + t\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.5. Let v = -10411\/76 + 137. Let a = v + -309\/380. Put -3, f, a in decreasing order.\nAnswer: f, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 8. Let x be j(2). Suppose x*a - 2*v - 24 = -5*a, -3*a + 2*v + 16 = 0. Factor -2*k**a - 3*k**4 + 331*k**5 - 336*k**5.\nAnswer: -5*k**4*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -601*x**3 + 4*x**2 - 9. Let y be r(-3). Let l = 23059 - y. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/25382 and 81\/3626.\nAnswer: 25382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 7132.63?\nAnswer: 713.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 1 - (-30 - -26) - 3 - 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*w + 67 + 374, -3*w - 5*h = -318. Suppose 7*j = 624 + w. List the prime factors of j.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/5 (b) -1\/4 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0701 - -69.0299. Let v = -0.0928 + 69.0928. Let y = i - v. Which is the nearest to -0.2? (a) -2 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*z - 4104 = -87*z for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6868*o + 3439*o + 2394*o to the form h*o + s and give h.\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o + 15. Suppose 5*z = -6 + 1. What is the remainder when ((1 + 2)*-14)\/z is divided by i(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.49 - 5.5. What is x rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -19*g**6\/120 - g**5\/30 + 21*g**4\/8 + 82*g**2. What is the second derivative of w(r) wrt r?\nAnswer: -114*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 9 = -p - 4*y, 2*y + 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14042 - -14046. Solve n + v + 1 = x, 5*n - 2*v - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.557 - 0.157. Let j = -0.123 - 0.877. Which is the third biggest value? (a) w (b) 1\/8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(70\/(-21)))\/((-1)\/(-5)). Let i = -11 - q. Let v = 63 + -43. Solve -z + 2*z = -5*j + 30, i*j = v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -14. Let q = -0.07 - -5.07. Which is the closest to s? (a) 0.1 (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsbxxslsxlsxlb. What is prob of picking 4 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45773, 45833, 45893?\n\"Answer: 60*f + 45713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-13670)\/(-30)). Let h = y + 27082\/176343. Let z = h - 9319\/1032. What is the common denominator of z and 8\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(3\/3)\/((-10)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -4, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/2*4\/(-4). Suppose -2*z = -p*b, -b - 10 = -3*z - 0. Suppose -3*j + b*g + 982 = 0, -3*j - j - 2*g = -1318. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**8\/20160 - t**7\/5040 - t**5\/60 + 10*t**2. Let v(j) be the third derivative of z(j). Let v(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/684164 and 65\/446?\nAnswer: 684164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 111*z**2 + 4445*z + 162. Calculate t(-40).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*p**3 - 57.\nAnswer: 297*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - s**5 + s**5 - s**5 + 2*s**2 - 2*s**2 + (3 - s**3 - 3)*(-3*s**2 + s**2 + 4*s**2) + s**2 + s**4 + 2*s**5 - 116*s - 203*s + 142*s.\nAnswer: -3*s**5 + s**4 + s**2 - 177*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -94?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:43 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 220201 (base 3) to base 15\nAnswer: 2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -753167.68 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.063 + 14.463. Let v = -14.3999709 + t. Round v to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90428\/2383 - 4502128783\/14298. Let j = g + 311894. Let v = 3035 + j. What is the common denominator of -97\/2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l - 3*l**2 + 7*l - 2 + 2*l**2. Let m be q(2). Suppose y + 2*y = 6. What is the second biggest value in m, y, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 25*i - 24*i. Suppose -2*s = 5*s - i. Calculate the highest common divisor of 18 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34628955 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 17*d + 5*c + 57 = 0, 3*d + 33 = -2*c. Suppose 0 = 5*m - 10*m + 5. Sort d, m, -4, 4 in descending order.\nAnswer: 4, m, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178867647*w**2 + 1904*w + 36361 wrt w.\nAnswer: -357735294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 - -33223?\nAnswer: 33103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*i + 2 - 86*i + 109*i - 165*i + i - i - 2*i + (-3 + 2 - 1)*(-4*i + 3*i - i).\nAnswer: -143*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**3 - 48252*a**2 + 3*a + 48252 = 0.\nAnswer: -16084, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.14125 and -1001477.\nAnswer: -1001477.14125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 351.9 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/((1*sqrt(54))\/sqrt(6)) + 4.\nAnswer: sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -1af4?\nAnswer: 1af5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*t - 216, 4*z + 0*t - 3*t - 779 = 0. Suppose -r = -5*v - 10, 5*v = -3*r - 61 + z. What is the lowest common multiple of 7 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*t**2 + 7*t + 2 - 3*t**4 + 4 - 5 + t**4 - 2*t to h*t**3 + n*t**4 + k*t + v*t**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/191 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Let s(g) = -g**2 + 10*g - 33. Let m(l) = -s(l) - u(l). Let n be m(6). Solve n*v - 6 = o - 0*v, 2*o = -2*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 22093*w - 220810. Calculate q(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -16\/5*b**3 - 34\/5*b - 148\/5*b**2 + 18\/5 = 0.\nAnswer: -9, -1\/2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02502100716 rounded to 5 dps?\nAnswer: -0.02502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 2*w**2 - 7*w - 2. Let m(h) = -1. Let f(a) = 6*m(a) - v(a). Suppose -1 = r - 0*r. Determine f(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkuuku. What is prob of sequence uuu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/3)\/(328\/246)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/18*9\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 30*d = -12. Let w be ((-32)\/(-4))\/(-4) - -4. Let p = 0 + w. Is d bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 + 641 - 9334*w + 9336*w + 149 to f + p*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5259738.73905 and 5.\nAnswer: 5259743.73905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 - 1518*p + 33880 = 0.\nAnswer: -1540, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 40\/45*(-15)\/(-20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 49*b**3 + 8*b**2 + 87*b - 1219. Is p(25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-10)))**(-2\/39) assuming t is positive.\nAnswer: t**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 7 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27873.04 + 9347985.\nAnswer: 9375858.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1333 - 600*m**3 + 1330*m**3 - 76 + 542*m**3 wrt m.\nAnswer: 3816*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 12, k: 2}. What is prob of picking 2 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-2 + -3)) + 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41515646 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 523825 - 136138. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 123, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, g: 10}. Give prob of sequence ssgg.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101101111 + -10011?\nAnswer: 100101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1174, 4646, 10432, 18532, 28946?\n\"Answer: 1157*w**2 + w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -22?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3044907 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*g + 33, -5*v - 28 = -4*g + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554, -1111, -1666, -2219, -2770?\nAnswer: -3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5 = -f + 3*v, -2 = 5*f - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4581 + 4659 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/56*((-3)\/2)\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 957437026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*z + 2*y, -3*y = 4*z - 4*y - 29. Let g(l) = l - 9. Let t(f) = -2*f + 14. What is z*g(c) + 5*t(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 37*j = -608. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*g + 401120 = 720. Calculate the lowest common multiple of 1430 and g.\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 + 12 + -6 - -3. Suppose -31*n + 26*n + 25 = -y, n - 2*y - 5 = q. Suppose -19 = -d + 7. What is the remainder when d is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2 + (-7)\/(-3) + 912\/72)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + 0))**2*-3 + (2 + sqrt(162))**2*-4.\nAnswer: -664 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(100) + -3.\nAnswer: -3 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17\/374*44\/24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 96.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/14)\/(6\/(-21)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74790\/(-2770))\/((-8)\/4)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266652 by -6.\nAnswer: -44442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -2)*-12*(-5)\/(-45). Suppose -4*p = -c*q + 201192, -6643 = -3*q - 5*p + 144267. What is q rounded to the nearest 1000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0356738 grams in kilograms?\nAnswer: 0.0000356738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53039 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3, t: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/7 - 32604*d**3\/7 - 19034097*d**2\/7 - 2707572690*d\/7.\nAnswer: 3*d*(d - 11430)*(d + 281)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -823, -834, -849, -868, -891?\n\"Answer: -2*u**2 - 5*u - 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 + (-5)\/((-10)\/(-6)) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1845, -3700, -5555, -7410, -9265, -11120?\nAnswer: -12975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353316919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**5 + 43*t**4 + 108*t**3 - 676*t**2 + 832*t - 192 = 0.\nAnswer: -4, 3\/10, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68659, 274739, 618211, 1099075?\nAnswer: 1717331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -24. Suppose 242 = g*p - 3*p. Calculate the remainder when p is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165674965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000071525483 rounded to 7 decimal places?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157507\/12472 - 6\/1559. Find the common denominator of -5\/4 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -828218 - 6?\nAnswer: -828222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51\/4 + -12. Let h = 12 - 8. What is the closest to h in 1, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*n + 65 - 333 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s + 0*s)*(-3*s**3 + 2*s**3 - 2*s**3) + 4*s**4 + 3*s**3 - 2*s**4 - s**3.\nAnswer: 11*s**4 + 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*p = -463*p + 77 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00146192 to 5 decimal places.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 - 15*v + 21. Let n be p(5). Let a = n + 156. Solve 2*f + 1 = -2*y - 7, 0 = -y + a*f + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/14 and 129\/190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.07 - -16. Let s = 536 - 1107. Let y = s + 570. What is the closest to 2\/7 in r, -0.2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000004909852 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -1, -7\/43 in decreasing order.\nAnswer: -7\/43, -0.9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/7 + 1612*y**2\/7 - 91192*y + 15472080\/7 = 0?\nAnswer: -1102, 26, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*g**3*q*z + 13*g**3*z**3 - 1046*g**3*z - 83*g*q*z**3 - 17*z**3 wrt z.\nAnswer: 78*g**3*z - 498*g*q*z - 102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17c (base 16) in base 5?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4399370, 4399281, 4399192, 4399103, 4399014?\n\"Answer: -89*b + 4399459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 35. Let f be t(-15). Suppose f*a = a + 4302. List the prime factors of a.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1251*x - 74. What is the thousands digit of t(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75383.9979 - -75390. Let z = h - 6. What is z rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(((c**9\/c)\/c*c*c)\/c))\/(c\/((c**(2\/17)\/c)\/c*c)))\/(((c*c**(1\/6))\/c)\/(c*c\/(c**(-3\/14)\/c*c))) assuming c is positive.\nAnswer: c**(-2440\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d - 8. Let i(f) = -9*f - 3. What is the least common multiple of i(d) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n + 594 = 0. Let p(f) = -5*f**3 - f**2 - f - 1. What is the remainder when (-1*1)\/(18\/n) is divided by p(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*15\/(-18)*20\/(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4 - (-8 + 13\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1011100121 (base 3) to base 6\nAnswer: -253454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (348\/100 + -3)*(-180)\/8. Which is smaller: -12 or i?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -2. Let x be w\/((-3)\/(-12 - -3)). Suppose 34 = 2*l + 5*i, -3*i - 2 = -x*l + l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1745, -3488, -5231, -6974?\nAnswer: -8717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -49*a**2 + 47081*a. Let i(z) = 2*z**2. Determine n(i(m)).\nAnswer: -196*m**4 + 94162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Let m = -5536 + 5538. Which is the closest to 0.1? (a) m (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -165, 48 in descending order.\nAnswer: 48, 15, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/704 and 37\/243320?\nAnswer: 1946560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12214100 (base 5) in base 2?\nAnswer: -11100100000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1809383*z + 904658*z + 904740*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c + 4. Suppose 4*q - 10 = c*d, 0 = 2*q - 7*q + 2*d + 11. What is the closest to q in -0.1, 1\/10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1127322717 to five dps.\nAnswer: -0.11273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 1\/2*a**2 - 93 + 3*a. What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/27087438 and -143\/77448.\nAnswer: 108349752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211112210101200122 - -2?\nAnswer: 1211112210101200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 3:57 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 993 = -y, 2*y + 0*y = 4*c + 1986. What is the highest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j - 57. What is k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*p - 14, 2*p + 1967*h = 1970*h + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)\/j*j*(j**(1\/4)\/j)\/j*j)**(-9\/4)\/(j**2*j\/(j**5\/j)*(j*j**(-6)*j*j*j)\/((j\/j**(-4)*j*j)\/j)) assuming j is positive.\nAnswer: j**(1305\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - 18. Let t = x - 7. Calculate the lowest common multiple of ((-44)\/(-6))\/((-1)\/(-3)) and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:26 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 16*k - 34. Let u be n(6). Suppose j - 48 = -y, 4*y - u = 5*j + 31. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msp when three letters picked without replacement from pntsmnmmmmmpstmm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23096475 or 23096476?\nAnswer: 23096475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 - 5*r**2 - 77*r.\nAnswer: 6*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/3 + 2\/(-6). Find the second derivative of 5*s**3 - 29*s**2 + 29*s**2 - d*s wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -1 (c) 478 (d) 2\/7 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21))\/(96\/(-560))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (144\/84)\/(10\/(-14))*(-55)\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67452 and 201509.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l. Let f(z) = 3528498*z. Give f(h(p)).\nAnswer: 42341976*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 + 133 - (3 + -12) - 31?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 12:20 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e415 (base 15) to base 10.\nAnswer: -48170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -3\/2, -1, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*j = 507 - 489, 4*j + 40 = 0. Let i be -4*2*(0 - -1). What is the fourth biggest value in 1\/2, 1, i, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-45)\/300*6\/(-3).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 379151149 to the power of 1\/2, to the nearest integer?\nAnswer: 19472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 16*r - 28 + 148, 0 = -5*j + 10*j + 2*r + 190 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71766 - -288760. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 637561910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 9, 12, -43\/3, 5 in decreasing order.\nAnswer: 12, 9, 5, 0.2, -43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 0.4 (c) -0.13 (d) 5\/3 (e) 378 (f) -0.11 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-27) + (-84)\/378. Sort h, 57, 5 in increasing order.\nAnswer: h, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 0.1. Let k = -2.09 - u. Let d = -418 + 1258\/3. Is k less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 14 + 16. Let n be -3 + (-4 - (-3 + p)). Let a be (n\/((-3)\/(-3)))\/(-1). Solve 5*h - h = -4*c - 12, -h = a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6324651121 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*y + y = -4, -3*u - 2*y = -40. Suppose -2*n + s + s + u = 0, 3*n + s = 2. Solve 4*l = -2*j - 2, n*l = 3*j + 11 + 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4 + 12*v**3 + 15*v**2 + 6*v = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 1070*l + 265486. What is j(-391)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71.04999544 - 71.05. What is p rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17679 + -169.\nAnswer: 17510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 3*z + 17, -248*l + 249*l - 3*z = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 15*g + 7. Let c = 51 - 59. Let w be i(c). What is the nearest to w in 0, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8130.913l?\nAnswer: 8130913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 - 61. Solve f + 3 = -c*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268354861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1292*z - 1299*z = -35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -172 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 401109 a multiple of 589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 316.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfggcgfccfgfy. What is prob of sequence nf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13034703*y + 13034353*y - 26069359*y.\nAnswer: -303*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 4 - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**2 - 7*x**2 + 1 - 6*x**4 + 3*x**3 - 3*x**3 - 2*x**4 + (0*x - x - x)*(4*x**3 - x**3 - x**3).\nAnswer: -12*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409760, 819294, 1228828, 1638362?\nAnswer: 2047896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226041 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 4*z = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121099 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 5*z - 34. Determine t(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 1.2. Let v = -15 + 10.5. Let p = -0.5 - v. Which is the closest to s? (a) 5 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 8, n: 3}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2586210 (base 9) to base 6.\nAnswer: -50155400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701 = h - 703. Let m be (-4698)\/(-145) - h\/5. Which is the nearest to m? (a) -5 (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(15*(3 + -11 + 9)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 918627 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 - -10010?\nAnswer: 101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 3*j**2 + 3*j**3 + (-3*j + 2*j + 0*j)*(3*j**2 - 7*j**2 + 3*j**2) - j**2 + j**2 - 2*j**3 + 62*j**3 + 68*j**3 - 4 - 126*j**3 - 61*j**2.\nAnswer: 6*j**3 - 61*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -680917.5 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**3 + 2*p**2 + 6*p - 3. Let q(i) = 3*i**3 - 4*i**2 - 6*i + 2. Let d(w) = -2*b(w) - 3*q(w). Determine d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - (3 + 5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 85 + -35. Let l = r + -50.019. What is l rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2212 from -0.22.\nAnswer: 2211.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:44 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 20. Let m be z(12). Solve 27 = 4*x + 3*a, x - 5*a = -m - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 2*w - 4. Let f be z(4). Suppose 0 = -f*o + 54 + 62. Suppose 4*a - 606 = -150. Calculate the remainder when a is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 279*g**2 + 5555*g - 79. Determine d(-20).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -492853*v - 333847 wrt v?\nAnswer: -492853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8304 divided by 7.\nAnswer: 8304\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/6 + 23*f - 1. Let t(m) be the third derivative of -m**5\/10 - 2*m**2. Give t(j(s)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 14*t - 18. Let s be y(-13). What is the hundreds digit of 5 - (s\/1 - 119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.4 + 14.4. What is the nearest to -0.1 in 2\/17, l, 91?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - g + 1. Let r(w) = -7*w**2 - 5*w + 5. Suppose 0 = -17*o + 19*o - 3*z + 2, 5*o - 3*z = 13. Calculate o*m(l) - r(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41229 and 4293.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by (-4950)\/(-288) + 6\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = 0, 2*k + y - 6*y - 7 = 0. Sort 0.5, -5, -1\/7, k in descending order.\nAnswer: k, 0.5, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/35952 and -1\/12.\nAnswer: 35952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose r*o - 32 = -2*o. Let t be (5\/(5\/4))\/2. Solve -2*i = -m + 4, 0*i - 5*i - o = -t*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 869661\/20 + -43483. Let q(c) be the third derivative of 2\/3*c**3 - 1\/6*c**4 + 0 + 34*c**2 - w*c**5 + 0*c. Factor q(l).\nAnswer: -(l + 2)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 2*k**5 - 25*k**4\/8 - 35*k**3\/6 + 5*k**2\/2 - 41. Solve x(w) = 0 for w.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkw. What is prob of sequence wk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/17, 0.1, -117, 0.5, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*t - 562*t + 1130*t**2 + 184*t + 190*t.\nAnswer: 1130*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v**2 + 11*v - 11. Suppose -2*z + 12 = 3*y, -8*y - 3*z + 13 = -6*y. Let t(x) = -4 + 3*x - x**2 + 6 - 5*x. Determine y*g(b) + 11*t(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 466. What are the prime factors of x?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 times 10\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 4*p**2)*(2 + 2 - 7)*(-40 + 11 + 2) to w*p + k*p**2 + a and give k.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3\/3 + 12. Let c(u) = -u - 3. Let x(d) = 4*d + 11. Let j(t) = -22*c(t) - 6*x(t). Give j(m(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -23*u - 4 + 11 + 29*u - 8*u**2 - 1455*u**3. Let w be z(-9). What is w rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14049 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 19. Let d(g) = -g**2 + 9*g + 11. Let q be d(h). Is q less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -28. Let d be 344\/(-1200) + u\/6. Suppose -n = 4*n - 5*s + 20, 3*s = -4*n + 19. Is d at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20d (base 14) to base 5\nAnswer: -3110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*z - c + 11 = 135*z, -4*c + 11 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -0.0158460448635.\nAnswer: 0.0158460448635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68848.\nAnswer: 2, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 17*g**2 + 5*g - 2. Is j(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-238))\/(15\/20)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**3 - 5*k**2 - 5*k - 1. Let r be p(-3). Suppose 4*w - 630 = -r. What is the remainder when 27 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (196\/21 + -9)*-15. Let q(j) be the first derivative of 20*j**4 + j**3\/3 - 3*j**2\/2 + 3*j + 1. Is q(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 4. Suppose 2*m = d*m. Solve m = 3*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820729745.\nAnswer: 5, 11, 37, 47, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/((q*q\/q**21)\/q)))\/q)\/q*q*q*q*(q\/(q*q*q\/(q\/(q**7*q)))*q)\/q assuming q is positive.\nAnswer: q**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eimi when four letters picked without replacement from mmmmmzimeiiiiim?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(648) + -2)**2*-2.\nAnswer: -1298 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 538 divide 89912876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p - 10. Determine m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let w(a) = -3*a + 16. Let x(u) = 5*o(u) + w(u). Let v(y) = 3*y. Let z be v(-1). Let q(r) = r + 4. What is z*x(c) + 8*q(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 6d?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6a0 (base 15) to base 16.\nAnswer: -be6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23028 and 6384.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(972) + -1 - sqrt(972))*-5 + -3 + 0)**2.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 231 by -11.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aa (base 11) to base 8.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42885 and 42885.\nAnswer: 42885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 1 + 50*g**2 - g + 0*g + 2*g. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*g**4 - 4*g**2 + 2 + 47*g**4 + 53*g**4 as t + n*g + k*g**3 + y*g**4 + o*g**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -4*w + 14, w = t - 11 + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) -0.5 (c) -1\/68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 331717 - -1351?\nAnswer: 333270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23380 is divided by 866?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + -1*sqrt(475))**2.\nAnswer: 40*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3340*f**2*k**3 + 3*f**2*k**2 - 28*f**2*k + 20*f**2 + 5*f*k**3 + 2*f*k + 957*f - 4*k**3 - 5*k wrt f.\nAnswer: 6680*k**3 + 6*k**2 - 56*k + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14981?\nAnswer: 71, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4199, 33693, 113753, 269663, 526707, 910169, 1445333?\n\"Answer: 4214*z**3 - z**2 - z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nnaannnn?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 218313218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 106*0.5\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -301991096 + 0.1?\nAnswer: -301991095.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + ((-20)\/(-30) - 1\/(-3)). Let h be ((-1)\/(14\/(-8)))\/(-49 - (-10121)\/203). Let k = -0.2 + 0.4. Which is the nearest to k? (a) -3 (b) f (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 4. Let h be -3*8\/n*1. Let o be 2\/h + 12\/(-40). Which is the second biggest value? (a) o (b) -3\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232578 and 146?\nAnswer: 232578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-268)\/(-1260)*18\/(-48) and 137\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/25168498 and 89\/25168498?\nAnswer: 25168498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by -3.\nAnswer: 376\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 324, -125, -2, -4 in descending order.\nAnswer: 324, -2, -4, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (102\/(-1122))\/(4 + 96\/(-22)). What is the fourth biggest value in 1\/3, r, -2\/73, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140050 at least 6140049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/870 and 15\/149089?\nAnswer: 4472670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-9 - 2) + -8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/15)*p\/(p**15*p)*p**(1\/3)\/p*p\/((p*p*p**(-2))\/p))**35 assuming p is positive.\nAnswer: p**(-476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -35*b + 24*b. Solve -b = j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 15*k**2 - 16*k + 20. Let q be u(-16). Let j be -4*((-385)\/q - -1). Suppose 3*i = 6, 2*r - j = 4*i + 237. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97268867 to the power of 1\/2, to the nearest integer?\nAnswer: 9862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3)*(3*x**3 + 2*x**3 - 3*x**3) + (-2*x + 4*x + 0*x)*(-28*x - 69*x**2 + 28*x + 1) as i*x + w*x**3 + j*x**2 + d and give w.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1300753?\nAnswer: 1300753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -345084290 divided by 5?\nAnswer: -69016858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9754357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 54 = -j + 75, 3*j + 4*h = 354. Let a = j - 54. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298609245 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/5 - 133580460*u + 11152337058632250 = 0?\nAnswer: 166975575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/13251?\nAnswer: -4\/13251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -38. Let v = -63 - -81. What is the least common multiple of x and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*d - 50284, -5*h - 5*d + 54185 = -8680. List the prime factors of h.\nAnswer: 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-2))\/(-1*2). Let n be 1\/15 - 221824\/(-13440) - 8. Is d equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxjjhjhjkkjkjkxkjhh. Give prob of picking 1 x and 1 j.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2630? (a) 1\/6 (b) -0.3 (c) -1752 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 991*b**2 - 3148*b**5 + 871*b**2 - 112*b**2 - 90*b**2 wrt b?\nAnswer: -188880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-8))\/(5\/20). Is (-2)\/(-7) + (-96)\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 3)*(-4 + 0 + 3) + 1 + 3 - 1)*(12 + 0 - 3)*(-t**2 + 2*t - 2*t) as w*t**2 + a + v*t and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {s: 3, z: 6, u: 4, a: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 1 - -2. Let l = -59 + 60. Let q be (2 - l) + -1 + (0 - -2). Calculate the greatest common divisor of q and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*z + 7, 3*z + 106*r = 101*r - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 e when four letters picked without replacement from rvreevaa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m = 3*t - 25*m - 3, -3*t - m = 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 0.4, 5, -50\/7, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in -6\/13, -6230, -2\/11?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 6*d - 5. Is v(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 284757*b - 1139032. Calculate s(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x - 1024. Let u be w(-94). Let y(r) = -r**3 + 10*r**2 - 3*r + 7. Give y(u).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 - 288. Let k = 24.3 + -4.3. Let o = s + k. Is o at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 5*b - 57 = -0*b, -15 = -1410*r + 1413*r + 4*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u - 26 + 194. Calculate the least common multiple of u and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7742 + 10945. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 19 + 3*b - 20.\nAnswer: 3*b - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 3)*1\/(-2). Let q be (2 - -12)*(-1)\/f. What is the highest common factor of 35 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4, 2\/19, -12, 72, -56\/15?\nAnswer: -56\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 28 (b) -0.2 (c) -14 (d) 4 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 10) to base 4\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 2*k + 440, -5*k - 889 = -4*x. Calculate the remainder when x is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -12*(-34)\/(-1300) - 32\/(-208). Which is the biggest value? (a) o (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 68*m + 27*m - 261 + 84 - 194. Is x(52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 59 - 65 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 2}. Give prob of sequence ooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30024 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 2*s - 2. Let l(t) = -t**3 + 6*t**2 - 2*t + 8. Let k be l(6). Let x be 48\/(-30)*10\/k. Determine n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -3, 736, -5 in descending order.\nAnswer: 736, 34, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 527 and 0.04.\nAnswer: 527.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {q: 15, m: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101111111011011 (base 2) to base 12\nAnswer: -1224b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006429367494 to 7 decimal places.\nAnswer: 0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -274*g**2 + 541*g**2 - 266*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + 2*b**4 - 3*b**4 + (b**4 - 1 + 1)*(1 + 2 - 1) + 2*b**4 - 3*b**2 + 3*b**2 - b**2 - 5*b + 5*b - 1618*b**4 - 2143*b**4.\nAnswer: -3760*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*p + 23 + 6, 3*p = -5*l + 28. Suppose s - 2 = l*h - 2*h, -3*h = 4*s - 53. What is the least common multiple of s and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 3*v**2 - 3*v - 4. Let a be -6 - (-7 - 15\/(-3)). What is c(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.73075ns to hours.\nAnswer: 0.000000000054091875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1285 - 1280. Let n(v) = v - 2. Let i be n(5). Suppose -4*x - 3*o = -31, -3*x + 44 - 17 = i*o. Which is the closest to 2? (a) 0.4 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 1\/4, 0.2, -162?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49.4306*0.43.\nAnswer: 21.255158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, p: 5, h: 1, b: 1, o: 1, n: 3}. Give prob of sequence opn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-12)\/(-24)*0\/(-2). Let d(c) be the second derivative of w + 1\/10*c**5 + 0*c**2 + 0*c**4 + 2\/15*c**6 + 1\/21*c**7 + 0*c**3 + 8*c. Factor d(f).\nAnswer: 2*f**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -565\/4406 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588402?\nAnswer: 2, 3, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131489?\nAnswer: 131489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 10 - 22. Solve -3*w + 0*w - b - k = 0, 9 = 3*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000802 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 228\/(-144)*(-1)\/((-6)\/16) and -151\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106979190.\nAnswer: 2, 3, 5, 137, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74400b (base 13) to base 11.\nAnswer: -159a171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(76))**2 - sqrt(19)) + -2).\nAnswer: -2*sqrt(19) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16 + (-17 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -9, -3 in decreasing order.\nAnswer: 2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80292 (base 12) in base 2?\nAnswer: 101000100110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.62 - 0.88. Let s = c - -11.81. Round s to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10080, 4, 1, -37.\nAnswer: -10080, -37, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1024 + 1019. Which is the second smallest value? (a) -3 (b) 1 (c) i (d) 71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*n + 3340 = 0, -3*n + 490 + 2843 = 4*b. Suppose -3*m + b = -m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 356, 361, 370, 383, 400, 421?\n\"Answer: 2*s**2 - s + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/23177 and 64\/6321.\nAnswer: 69531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 1 + q**4 - 3*q**4 + 2*q**3 - 2*q to m*q**3 + s + w*q**2 + z*q + b*q**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -267, -131, 249, 999, 2245, 4113, 6729, 10219?\n\"Answer: 21*d**3 - 4*d**2 + d - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316468, 633002, 949536?\nAnswer: 1266070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5410, -5235, -4936, -4513, -3966, -3295, -2500?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 82 = m - 3*q, -3*m - 4*q = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1376*h = 1910*h + 27597 + 141749 - 34620 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279)\/124*(5\/6)\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 930, 1857, 2782, 3705, 4626?\n\"Answer: -d**2 + 930*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 4*s**2 - 60*s**3 + 4*s**2)*(5*s - s + 5*s).\nAnswer: -522*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 - 3*b**5 + 5*b**5 + (-1 + 2 - 3)*(2*b + 2*b**5 - 2*b) - 2*b**5 + b - b + 3 + b**5 - 3 + 79*b**5 + 177*b**5 - 45*b**5.\nAnswer: 205*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 + 2*o + 2. Let c be (8\/(-10))\/((-4)\/30). Let b be 1*(2 + -2 + c). Let h(u) = -4*u**2 - 50 + 80 - 3*u - 33. Calculate b*q(y) + 4*h(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48563 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u - 6. Let x be h(-5). Let m be -2 + x*(-12)\/2. Suppose v - i - 10 = -m*i, 10 = 4*v + 2*i. Solve 3*k + 12 = 3*o, 3*k = -2*o - v - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - k**2 + 2. Let l be b(0). Suppose -s - 3*g - 2*g = -68, 2*s - l*g - 124 = 0. What is the remainder when s is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -2579?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 1545600*j**2 + 106627356*j.\nAnswer: 4*j*(j - 386331)*(j - 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/15))\/(b*b*b**(1\/6))*(b*(b**(1\/3)\/b)\/b)**38)\/((b*b**(2\/9))\/(b*(b*b**(2\/5))\/b)*b\/((b**(-7)*b)\/b)*b*b**(3\/5)\/b) assuming b is positive.\nAnswer: b**(-3131\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253 + 256. Suppose 2*o - 7*o = -f*d - 1412, -d = -2*o + 472. What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3*r**4 + 2*h**3*r**2 - 403*h**3 - h*r with respect to r.\nAnswer: 12*h**3*r**3 + 4*h**3*r - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 23. Put z, -2, 1.5 in decreasing order.\nAnswer: 1.5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5343 in ascending order.\nAnswer: -5343, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 11060?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3\/2 (b) -2 (c) 3 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5558, 6, -2329 in decreasing order.\nAnswer: 6, -2329, -5558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -3 (c) 0.2 (d) -4\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 20\/84 - 108\/(-189).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjur when four letters picked without replacement from {j: 2, r: 1, u: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6) + (-120)\/162.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 + 42596535*m - 42596535*m - m**2 + 7 - 5*m**2.\nAnswer: -29*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.08 - 69.0799950012. Round i to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -66, -105, -152, -207?\n\"Answer: -4*b**2 - 19*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 5*x**3 - 14*x**2 - 38 - 37 - 5*x + 4*x + 73 to the form v + a*x**3 + f*x + d*x**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ucc when three letters picked without replacement from cchxxfccxhu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11d74 (base 14) to base 13\nAnswer: 16c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 337\/9 + -10420\/279. Put -3\/7, 3\/5, a in ascending order.\nAnswer: -3\/7, a, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 + 94. Let g = f - 32. Let t = g + -20. Which is the smallest value? (a) -0.5 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22099733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 75, 5, 49.\nAnswer: -5, -3, 5, 49, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 5)*(23*f - 2*f + 44*f + (1 - 1 - 2*f)*(-2 + 6 - 2) + 0*f + 0*f - f) to v + l*f and give l.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*(-1666)\/(-196)*2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165.831 - -0.169. Let z = -166 + x. Which is the nearest to -1? (a) 5 (b) z (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*y + 382*y - 279*y**2 - 520*y.\nAnswer: -279*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/10652 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -30. Let t be (-3 - b\/(-6))\/((-5)\/(-130)). Calculate the greatest common factor of t and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 12:20 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/154 and 103\/574.\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**7\/7 + f**6\/3 - 16*f**3\/3 + 63. What is the third derivative of h(m) wrt m?\nAnswer: 120*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/3 + 77*r**2\/3 + 8088*r + 256620 = 0 for r.\nAnswer: -94, -39, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttyttytiiggtit. What is prob of sequence tiy?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, 0.2, -0.5, 0.1, 363?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n - 12. Suppose j = -4*j - 40. Let t be p(j). Let x(c) = 4*c**2 + t*c**3 + 3*c**3 - 2*c**3 - 1 - 6*c**3. Give x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1081*b**4 - 92737*b**3 + 3*b**2 - 16*b - 230585?\nAnswer: -25944*b - 556422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, q: 4, x: 4, k: 5}. What is prob of picking 1 k and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 338*t**5\/5 + 48353708*t**4\/5 + 498383322*t**3\/5 + 585067336*t**2\/5 + 29067368*t + 10299456\/5 = 0. What is t?\nAnswer: -143048, -9, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 66\/(-10) - 15\/(-25). Let m be (3 - (-39)\/s)*-4. Suppose 2*g - m = 2*u, -u + 13 = 3*g - 0*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/20 + 7*s**4\/12 - 2*s - 1425. Let q(i) = 9*i + 6*i**2 - i**3 - 13*i + 4*i. What is 6*a(z) - 7*q(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6137 + -6203. Put o, -5, 1 in decreasing order.\nAnswer: 1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -3504?\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -913 - -910. What is the closest to -1\/2 in 0.1, i, 2\/13, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 10*q**3 + 4*q**2 - 16*q.\nAnswer: 2*q*(q - 1)*(q + 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -14 - (-55 - -43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -8)*(1 + 0). Let y = -12 - -16. Which is the nearest to 0? (a) h (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1432, -2672, -3916, -5164, -6416, -7672?\n\"Answer: -2*g**2 - 1234*g - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/4680 and 191\/24570.\nAnswer: 98280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 22) + 29 + -13 - -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5394, 10786, 16178, 21570?\n\"Answer: 5392*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28867320 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 412811?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -31400 smaller than -5117984\/163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -443c?\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -779*t**2*z + 3386376*t**2 - 13*t*z - 170*z wrt z?\nAnswer: -779*t**2 - 13*t - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 2*n + 1 - 18*n**2 + 15*n**2 - 2 - n. Suppose -3*w - 4*f - 8 = -4*w, -2*w - 5*f - 23 = 0. Calculate the remainder when 31 is divided by l(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2712 = 2*p + 2*z + z, -z = 2. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -15. Let a be (-3)\/((-5)\/((-40)\/f)). Suppose -8 = -a*j + 2*j. Solve 0 = -l - 1, 0*c - j*c - 16 = -4*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 56 - (-1 + 0 + 70)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12646660 - -4?\nAnswer: -12646653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 + y**2\/2 + y. Let f be 5\/((-45)\/12) - 3\/(-9). Let j be t(f). Let n(b) = -b**2 - 6. Determine n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8764)\/(-1252))\/((4\/(-24))\/((-1)\/2))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 920737*u + 920734*u + 4 + 9, -4 = -2*t - 4*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 120 = 0. Suppose 0 = -5*v + t + 1. Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38688\/223, -2, -5 in increasing order.\nAnswer: -5, -2, 38688\/223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.05 + -0.25. Let s = h - -0.2. Let g = s + -5. Is 0.2 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.532 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 598909095 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zq when two letters picked without replacement from wwqqwwqfzqq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -39. Find the third derivative of -61*p**2 + 67*p**2 + 9*p**4 - 4*p**r wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 1654099*h**3 + 1654096*h**3 + 5*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 211402221?\nAnswer: -211402211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5001*p**2 - 19*p - 16. Does 18 divide g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419090 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32046.8267 - -32043. What is f rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 + 5685*w**2\/8 - 459527*w\/8 + 453843\/8.\nAnswer: -(w - 5603)*(w - 81)*(w - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 11:12 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5050261 (base 7) to base 15.\nAnswer: bcd61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/5 and -67\/1016.\nAnswer: 5080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -842294?\nAnswer: 29\/421147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 19. Solve t*r = -r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 20. Suppose i + f = 5*q, q - i - 2 - 5 = 0. Factor 0*j**2 + q*j + 13 + j**2 - 12.\nAnswer: (j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4.424 and -190 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcagucajuaau. Give prob of sequence guja.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let s(r) = r + 1. Let m be s(9). Suppose -m - 14 = -6*i. Calculate the smallest common multiple of i and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 15 = 5*f, -5*f + 463*v - 8 = 465*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*g = -15, -g - 2*g = y + 10. Let k be y\/(-40) + 88356\/32. Let x = k - 1076. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + 5 + (-23 - (-10 + -14)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzp when four letters picked without replacement from bbbpqbpbqbzpzbbp?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {v: 2, s: 3, k: 2, p: 2, f: 4}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 323428203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**5 + 70270*p**4 + 246893640*p**3 - 70270*p**2 - 246893645*p = 0?\nAnswer: -7027, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 3:13 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -18. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -50.93. Let i = t - 0.07. Let q = 9 - 9.1. What is the nearest to q in -1\/7, i, -0.01?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5987 + -5983. Let i(b) be the third derivative of 0*b - 15*b**2 + 1\/24*b**l - 1\/5*b**5 + 0 - 1\/6*b**3. Give i(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1163975 and 24275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2672*k**2 + 5*k. Let i be j(-4). Suppose -i = x - 422732. What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4225*-45\nAnswer: 190125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 164736\nAnswer: -65894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -50283*w - 201082. Calculate u(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = w + 5*i, -36*w + 37*w + 2 = i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 25, 52, 89, 136, 193?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 6. Let j be k(-12). Let y(v) = -2*v + 32. Let h be y(-12). Suppose -4*x + h = 56. Solve x = 2*r + 4 + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -871, -720, -489, -172, 237?\nAnswer: 744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -18782875856.31.\nAnswer: -18782875860.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 + 11 = -6*z. Calculate the lowest common multiple of 6 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34996165 to the power of 1\/2, to the nearest integer?\nAnswer: 5916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/15*(-42)\/4. Suppose 3*n - 136 = -r. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*r = 31, 28 + 13 = m + r. Find the second derivative of 2*h**2 + 6*h**2 + m*h - 42*h wrt h.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -129\/8 smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*k + 2*k**2 + 152*k + 172*k.\nAnswer: 2*k**2 + 221*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 332*m**3\/3 - 4340. Let z(b) = -5*b**2. Determine f(z(j)).\nAnswer: 8300*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 4*y + 2. Let o(a) = -162 + a**2 + 141*a - 141*a + 163. Suppose 3*j + 6 = 4*j. Let b(x) = x - 5. Let z be b(j). What is z*l(w) - 2*o(w)?\nAnswer: w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkqkkkkkkqkqkkq. Give prob of sequence qq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 1:29 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(2057) - sqrt(2057)).\nAnswer: 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -30, -128, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, 0, -3, -30, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*f - 4*b = 3*f + 206, 5*b + 295 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18496400 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*k**3*r - 371*k**3 - 4*r**4 wrt r?\nAnswer: -9*k**3 - 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oonnooooohnoooohhooh. Give prob of picking 1 n and 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7366, -7575, -7926, -8425, -9078, -9891?\nAnswer: -10870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + (sqrt(49) - -1*sqrt(2401)))\/sqrt(7) + -5)*3*5.\nAnswer: -75 + 135*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2448, -2446, -2442, -2436, -2428?\n\"Answer: w**2 - w - 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + l**4 + 2*l**4)*(2*l - 3*l - l) + 0*l**5 + 0*l**5 - l**5 + 60*l**4 - 60*l**4 - 8*l**5.\nAnswer: -11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(637) - (sqrt(13) - -1*sqrt(13)*-5).\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1177 + -1182. What is the nearest to -3 in v, -6\/7, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/15)\/(-38*192\/741760).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - -31) + (-6)\/3. Let k = u - 13. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - 2*z + 7*z, -3*o + 18 = 3*z. Suppose 2*i = -4*j + 4, -o*i = -5*j - 17 - 8. Suppose 2*f - l - 162 = 3*l, -i*l = f - 51. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) -13 (d) -5 (e) -59 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18284544 to the nearest integer?\nAnswer: 4276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 2. Let u be r(7). Suppose -10 + u = 5*y. Suppose y*z = 3*z + 8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - g - 2*g - 1 + g. Let h = 2 + -3. What is j(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 1. Let w(v) = 30*v**3 + 21. Let u be -6 + 8*(-9 - -10). Give u*w(n) - 42*y(n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59020 + -26183. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -349210.8753?\nAnswer: 349208.8753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 3*l + 12*l - 3*l + 9*l + 1 to z + u*l and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.723 + -2.277. What is the nearest to s in 1, -1, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 35, 1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-21))\/(14\/(-6) + 2). Let p(d) = 2*d**2 - 12*d + 7. Let h be p(m). Let q be 4 + -1 - h\/(-2). Which is the closest to -6? (a) q (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*((-1218)\/105)\/29\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 - (2 + -8 - (-46 - -32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 + 5948. Let p = -2706 + w. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*d + 6, -3*d + 4*z - 8 = -d. Let y(m) = -m**2 + 27*m + 50663. Let h be y(239). Which is the closest to d? (a) 1\/2 (b) h (c) 0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5488 times -33.562\nAnswer: 184188.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 884, 3302, 8008, 15764?\nAnswer: 27332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**6\/120 + a**4\/24 + 2251*a**3\/6 + 19*a**2. Is o(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -11. What is the second biggest value in i, 1\/8, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-1)\/18). Let z be (9\/(-2))\/(l\/(-12)). Is z not equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/108 - ((-172)\/301 + (-2)\/(2856\/(-1271))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + r = -3*g - 372, -4*r + 5*g = -1481. Suppose 0 = 19*u - 3124 + r. Is 51 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1188 and 31.\nAnswer: 36828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 72*h + 633. What is n(22)?\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 615675, 1231323, 1846971, 2462619, 3078267?\n\"Answer: 615648*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/248, 2134 in descending order.\nAnswer: 2134, -1\/248, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 452.7548ug?\nAnswer: 0.0004527548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 12411210191.8?\nAnswer: -12411210187.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -25*n**2 + 540 + 3*n + 540 - 1083. What is c(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -8*x**4\/7 + 748*x**3\/7 - 21900*x**2\/7 + 27612*x - 91260\/7 = 0?\nAnswer: 1\/2, 15, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -454 (b) 2\/3 (c) -94 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162413 - 101007. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -725, 0, -0.2, -6744 in increasing order.\nAnswer: -6744, -725, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-2)\/sqrt(8))\/(1*sqrt(128) + sqrt(128)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4266, 0, 68\/9 in ascending order.\nAnswer: -4, -2, 0, 68\/9, 4266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70224 and 456?\nAnswer: 70224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88437 - 0.88. What is x rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*v**2*x**3 + m**2*v*x**3 - 2*m**2*v - 2*m**2 + 5*m*x**3 - 8*v**2*x**3 wrt v.\nAnswer: 2*m**2*x**3 - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 18183.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6667.\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 s when three letters picked without replacement from ssijs?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37.5? (a) 32 (b) -2 (c) -0.034\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 0)*(-4*b + 3*b - b)*(23 + 14 - 15)*(-5 + 3 + 0)*(0 - 1 - 2)*(2*b**2 - 2*b**3 - 2*b**2).\nAnswer: 1584*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15660*a**2*l - 9902*l wrt a?\nAnswer: 31320*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 + 5.22. Let j = f - 6. Put -4, -5, j in decreasing order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205346553 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/10*15\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 11:33 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52946897569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 22. Let x be (-1)\/3*(-18)\/n. Let j = 0.128 + 0.272. Which is the second smallest value? (a) -3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 7*g**2 + 10. Let k be t(-3). Let l = k - -29. Solve -3*x + 21 = l*y, -4*y + 8 = -0*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5826293, -5826294, -5826293, -5826290?\n\"Answer: p**2 - 4*p - 5826290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4221476 + 14\nAnswer: 4221490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 = 3*t. Let m(p) = p**3 - 4*p**2 - 9*p + 7. Let i be m(6). Suppose -i = -7*c + 2*c. Solve -l - 18 = -5*f, -c*f + 19 = l + t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 6*y**2 - 3*y - 4. Let k be r(-6). What is the tens digit of (k\/8)\/((-4)\/(-112))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j - 13378*j**2 - 9 + 86*j + 13379*j**2 + 10.\nAnswer: j**2 + 80*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*z - 8, 0*k + 3*z + 6 = -2*k. Let j(t) = t - 2. Let v be j(k). Let i be (2 - 4)*5\/9. Is i <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 3*t**5\/5 + 11*t**4\/6 - 22*t. Find the third derivative of g(m) wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/((-14)\/(-206)))\/(252\/49) - 3. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -q, -5*q - 5*l + 52 = -l. Suppose q*a - 6 = 5*a. Let i = a - 5\/2. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -163*y**2 + 23*y + 2. Let j(d) = -1032*d**2 + 139*d + 12. Give 3*j(m) - 19*q(m).\nAnswer: m**2 - 20*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(17)*2 + -5*sqrt(68)\/sqrt(4))*-6.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 133\/4. Suppose 9*s + 1068 - 1023 = 0. Which is the smallest value? (a) s (b) -1 (c) k (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and 80.77?\nAnswer: -88.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 4) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, -186, -494?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*g - 4 - 29*g + 29*g + 24*g - 1 to the form f*g + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(-8\/9)\/(k**(4\/9)*(k**(-5\/4)*k)\/k) assuming k is positive.\nAnswer: k**(7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 6\/14 + (-3492)\/(-84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 97*i - 97*i)*(i - 3*i + 0*i**2 - i**2).\nAnswer: -2*i**4 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*1)\/(sqrt(200)*-5).\nAnswer: -2*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/9, -5\/3, -6, -2\/49?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 + 91a824?\nAnswer: 91a7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7977036331 rounded to the nearest 1000000?\nAnswer: -7977000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -2473\nAnswer: 2471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 5:28 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/54)\/((-284)\/5325).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 24. Give t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*y = 253*y - 242. Solve -21 = y*v - 131 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1412 and -61\/10.\nAnswer: 7060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.028 and 88?\nAnswer: 2.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 5 + 0 + c**4 wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 77*a + 69. What is the units digit of i(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 16, p: 4}. Give prob of sequence pypy.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-5 - -7) + -15 + -7 + 0\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfyy when four letters picked without replacement from kkkikkgkkfkkkfykyky?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 + 78. Solve -x = -0*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 7*t - 90. Calculate the smallest common multiple of t and (8\/(-6))\/(13\/(-39)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 11. Let d = 0 - -4. Suppose b - 2*b - d = 0. What is the smallest value in 0.1, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 518597350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 2, d: 6, o: 1}. Give prob of picking 1 g and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 11*g**2 + 17*g + 19. Let b be z(-7). Suppose -101*h = -b*h + 60. Calculate the remainder when 9 is divided by 4\/((-32)\/h - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 674 = 3*r - r, -4*r + 1336 = 5*q. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 5689\/3?\nAnswer: 5689\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -39, -11\/2, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*b**2 + 0 - 3\/4*b.\nAnswer: b*(b - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {a: 1, f: 1, r: 4, n: 2, c: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/60 - s**5\/5 + s**4 - 8*s**3\/3 - 2*s**2 + 9. Let n(h) be the second derivative of z(h). Let n(c) = 0. What is c?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose 184 = s*w - 61. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 41. Put 0, -151, q in descending order.\nAnswer: q, 0, -151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7126?\nAnswer: 2, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23 or -146?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 - h**4 + 2*h + 0 - 2399*h**2 + 2403*h**2 + 3 to the form s + i*h**2 + g*h**3 + d*h + u*h**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 1054755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + 33. Let h = 35 - n. Which is bigger: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 divided by -2?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6685 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -420 + 424. Suppose -76 - 90 = -2*m. Suppose -4*l + 94 = -2*o, 4*l - 5*o = m + 20. Calculate the least common multiple of b and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/45)\/(3*-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -10. Let h(t) = t**2 - t - 38. What is the smallest common multiple of u and h(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*b + b + 15, 3*b = -5*l - 19. Factor -5 + 3 - 2*i**b - 16*i + 20*i.\nAnswer: -2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22279 = -3240*l - 6881 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(((-1)\/(-14))\/((-89)\/(-623))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000 (base 3) in base 5?\nAnswer: -1224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**5 + 5*p**5 - 2*p**5)*((-1 - 1 + 1)*(-2 - 3 + 3) + 3 + 2 - 3 - 24 - 55 + 58).\nAnswer: -34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4334, -4323, -4304, -4277, -4242, -4199?\nAnswer: -4148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15342 - 45?\nAnswer: 15297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 3*n - 3. Let l(y) = y**2 + 7*y + 10. Let h(m) = m**2 - 16*m - 22. Let s(v) = h(v) + 2*l(v). Let q = -2 + 0. Determine q*a(f) + 3*s(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. Suppose 4*m - 4*f = -8, -2*m + f - b*f = -5. Sort -4, m, -0.3.\nAnswer: -4, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b + 278 = 50, 0 = -3*n - 3*b + 327. Let m = -579 + n. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-2)\/(-4))\/(16\/(-112))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.3. Let d = -38.6 + 38.4. Which is the third biggest value? (a) -37 (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 31*s**2. Let c(d) = -343388*d. Determine u(c(p)).\nAnswer: 3655374874864*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 4. Let k be b(4). Suppose 0 = 2*f - 4 - 0, 4*y - k = 2*f. Suppose y*s - 5*w - 83 = 0, 3 = 2*w + w. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1120394985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-27) - (-1 + 0))\/(109\/3924)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 314 and -0.2885.\nAnswer: 313.7115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkkkkl. What is prob of sequence lk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:50 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2111 = -8*n - 2063 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.73 in -5\/3, 2\/13, 2\/5, 13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3*t + 7*t)*(-5*t**4 + 7*t**4 + 2*t**4) + 49*t**5 + 52*t**5 - 111*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47990 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -1 + 26 - 16 - 40.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*d + 15, -3*z = 2*z - 5*d - 35. What is the nearest to -1 in -2, z, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-2376)*(-204)\/(-4))\/(2\/4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(l**2 + 5*l**2 - 4*l**2) + 9 - 4*l**2 - 16 + 10.\nAnswer: -6*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 64*w**2 + 133*w + 240. What is c(34)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c - 4. Let x(b) = -2*b - 2. Determine -4*v(j) + 6*x(j).\nAnswer: -4*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 13, 519, 63, 0 in decreasing order.\nAnswer: 519, 63, 13, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i + i + 5*i)*(-2*i**2 + 3*i**2 + 2*i**2)*(-1 + 0 - 5) to the form j*i**3 + o*i**2 + w*i + z and give j.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -d?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1030516\/5 - 206103. Suppose -y*v**3 - 1\/5 - 3\/5*v - 3\/5*v**2 = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 339882*x - 6117714.\nAnswer: -(x + 18)*(x + 679746)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116722*t**3 - 4670*t + 93 wrt t.\nAnswer: 700332*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678480 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: Solve 2*f = -5*o - 94, -f + 682*o - 685*o = 57 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + -12252.\nAnswer: -12252.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (6 - -9) + -5 + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert d10 (base 15) to base 14.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 3*o**2 - o**2 + o**2 + o - o + (-o + 0*o + 3*o)*(6*o - 2 + 2).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 24 = -3*o, 7*q = -4*o + 3*q - 36. Let b = o - -17. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3404*w**3 - 11*w**2 + 8*w - 7051534?\nAnswer: -10212*w**2 - 22*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8507\/3 + -2836. What is the nearest to -0.6 in t, -0.06, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -799691*u - 4798138. Give o(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 3*p**2 - 5*p + (-5*p + 4*p - 2*p)*(-119*p - 210*p - 302*p).\nAnswer: 1890*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4930 and 2860?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-41))**(6\/7))**(4\/7))**47 assuming y is positive.\nAnswer: y**(-46248\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/5 and -55\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2029195*d**3 + 4237503*d**2 wrt d.\nAnswer: 12175170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/14 + -2*(-50)\/8. Calculate the greatest common factor of n and 66.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {r: 5, d: 2, x: 6}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 14*i - 34. Let s be z(6). What is the highest common divisor of s and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/253 - 4283\/759. Let p = -138 + 137. Which is the second smallest value? (a) i (b) -5 (c) -7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 581748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3\/4, 25, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.343 - 34.2. Let s = u + -1.143. Which is the nearest to s? (a) 1\/2 (b) 2\/7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -337, 0.036, -0.3, -0.4, 2\/9, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and 1228145273.\nAnswer: 1228145197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((24\/36)\/(4\/(-6))). Which is the closest to -2\/7? (a) m (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 433\/3268 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and 151285757771.\nAnswer: 151285757769.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*o + 322*o = 5*l - 5, 2*l + o + 13 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 93854.03 kilometers?\nAnswer: 9385403000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13294643, -26589238, -39883833, -53178428?\nAnswer: -66473023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -3920?\nAnswer: 3919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -163*k + 3. Let w be x(5). Find the common denominator of (-6)\/21 - (1070\/w)\/(-1) and 133\/18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147216493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 142*w - 122*w + 9 + 21.\nAnswer: 20*w + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -330, -986, -2272, -4398?\n\"Answer: -35*j**3 + 9*j - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*a**4 + 3\/2*a**3 - 1\/4*a**5 + 13\/2*a**2 + 27\/4*a + 9\/4 = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/36 - 1\/36. Let p = -0.1 + 0.1. Which is the nearest to p? (a) 1\/5 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -7*o**2 + 0 - 1\/8*o**4 + 0*o + 1\/15*o**5 - 1\/6*o**3. Let x be p(2). Calculate the greatest common factor of x and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 11*u**2 - 3. Let a be z(11). Which is greater: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 1429 in increasing order.\nAnswer: -2, 0.5, 1429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*b - 23, -2*w - 4 = -3*b + 24. Suppose -j + b = -0. What is the lowest common multiple of j and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23322 by 6.\nAnswer: 3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 - -205. Let x = p - 11. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 7*q - 24. Let i be u(-7). Is ((235554\/i)\/11)\/((-3)\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 48 = 3*t, 3*t - 5*s = -3*s + 47. Calculate the lowest common multiple of 55 and t.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2202 + 4*x + 39*x - 2210 + 4412 as v + s*x and give s.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 824, 2387, 5334, 10127, 17228?\nAnswer: 27099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 1058 in decreasing order.\nAnswer: 1058, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*j + 2 - 4*j - 2*j)*(-3*j**2 + 5*j**2 + 2*j**2) as l*j**2 + o*j + u + a*j**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82927*k + 133075*k + 7997*k - 3322*k.\nAnswer: 220677*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450 = 2*d + 5*z - z + 472, d + 19 = -4*z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80542 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-180)*(2\/(-3) - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-10)\/(-9)*(-696)\/(-464)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-30)\/7 + (-10)\/(-35). Is (1 - 296\/q)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10718*b - 10718*b - 281*b**4)*(-3*b + 0*b + b).\nAnswer: 562*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1429204 and 47992.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(45\/(4050\/40))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:11 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i - 6. What is the tens digit of h(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15\/(90\/(-84))*(-12)\/42?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, 4\/9, -0.5.\nAnswer: -2, -0.5, -1\/4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9*f**3 - 6*f**2. Let i = -38 + 45. Let p = 13 - i. Let z(w) = 10*w**3 + 7*w**2. Give p*z(d) + 7*o(d).\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -701493*g**3 + 34*g**2 - 10141*g - 1146?\nAnswer: -4208958*g + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1 + 297\/55.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/2 - 0 - 12. Let x = 15 + q. Differentiate -14*u**2 + 3*u**2 + 3*u**x + 2*u**2 - 6 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/30)\/((-2)\/(-50)). Suppose -1 = g - x. Suppose -2*s + 6*s = -4, 0 = y + g*s - 66. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.8. Let f = k + -0.2. What is the nearest to -1 in -0.2, f, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -16. Suppose 0 = -t + 3*t + 5*c + r, 0 = t + c + 1. List the prime factors of 3*1 + (t - -38).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, 1\/19, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14350 divided by -11977.\nAnswer: 2050\/1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/5 - 1464*r\/5 - 267912\/5 = 0.\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29444817*u**2 + 27272914.\nAnswer: 58889634*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001645 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 6. Let r be m(-3). Suppose 0 = -3*w - 12 + r. List the prime factors of (-4 + 3 + w)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 2504?\nAnswer: 2504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 5. Suppose 2*y = 4*q - 16, 29 = t*q - 5*y + 9. Find the first derivative of q - 3*d**2 - 1 - 2 + 8*d**2 wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a + 9 = 0. Let q(n) = -6*n**2 + 4*n - 6. Let s be q(a). Let l be 579996\/2 + (s\/4)\/(-6). Round l to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**3 - 2*o**2 - 9*o + 10. Let z be f(1). Suppose -9*l = -z*l + 3. Which is greater: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6802*u**2 + 4*u + 5. Is o(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 2640?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 - 3*j**2 + 3*j**2)*(-14 - 2 + 9).\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-1)\/(500\/8)*18\/(-192)*-8\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u + 6*u. Suppose -5*k = 5*o - 40, u*k - 10 = -2*o + 10. What is the remainder when (-5 - -11) + 1\/1 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-3))\/(-1) - 0. Suppose -3*a + y + 9 = -z*y, 2*y + 14 = 4*a. Suppose 37 = a*x + 9. What is the highest common factor of 35 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -373 - 335. Let s = w + 994. Calculate the greatest common divisor of 26 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.113774 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 2502634432?\nAnswer: -2502634425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**5*b**(-6)*b*(b\/((b\/b**0)\/b*b))**20)\/(((b*(b\/(b\/b**0))\/b)\/b)**(-19\/3))**(-21) assuming b is positive.\nAnswer: b**134","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 14?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 20*t**3 + 2*t**2 + 2*t - 2. Let v(m) = -321*m**3 - 33*m**2 - 33*m + 33. Suppose f - 15*x + 11*x + 53 = 0, -3*x = -f - 48. Determine f*d(q) - 2*v(q).\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*d + 5*o, 5*d + 49 = 2*o + 157. Solve 0 = -61*c + 56*c - d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6828 and 17\/84.\nAnswer: 47796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -14. Let w(g) = -g**2 + 9*g - 17. Let h be w(b). Let j(i) = -4*i - 2. What is j(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104\/1099 - -30\/157. What is the third biggest value in v, 2, 16, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -27, 3, 19 in decreasing order.\nAnswer: 19, 3, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Solve -s + 3*d + 10 = 0, -3*s + g*d + 2 = -0*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1202*1\/(-120) - 46\/115 and (-134)\/4 - (-2)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 0, 0*p + 3*p = -2*y + 15. Suppose 0 = 4*o - 8*o - 16, p*m - 3*o - 42 = 0. What is the lowest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3. Let h(i) = -3*i - 5. Let f = 2 - 1. Let w be (22 + -23)\/(f\/5). Let q(l) = l + 2. Let b(u) = w*q(u) - 2*h(u). Calculate 2*b(s) + y(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*m + 217*m + 76*m**3 - 76*m - 9819 + 9819 - 72*m.\nAnswer: 76*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:16 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -9, -l = -3*g + 35. Let t = g + -13. Let b(y) = -y**3 + y**2 + y - 4. What is b(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 340316aa?\nAnswer: 34031704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-5)\/(1 + 9). Let v be 68\/(-18) + 2\/(-9). Let j = w + v. Solve -2*t = -5*m + 4, -t + j*m = -4*m + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262 - 42*d + 262)*(1 - 4 + 2)*(-3 + 3 + 5*d).\nAnswer: 210*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + 48\/(-5))\/((-3)\/(-45)). Let w(z) be the second derivative of 0 - z + 1\/20*z**5 - 5\/12*z**4 - 7\/2*z**2 - 5\/6*z**3. Determine w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b5 (base 15) to base 14\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 1 + 5. Suppose -f*h - h = -12. Solve 4*i + 2*q - 10 = 0, 2*i - 6*i - h*q + 7 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360575*a + 32096 = 359572*a for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 2*m + 0*m + (-8*m + 3*m + 3*m)*(1717 - 2419 + 1862).\nAnswer: -2318*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -17e2?\nAnswer: 17e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 1360 = 1864 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.73 * 1.78.\nAnswer: 1.2994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3\/((-3)\/2). Suppose 4*y + z = 21, -4*z + 35 = 5*y - 5. Let x be y\/6 + 5\/(-6). Sort x, d, -0.4.\nAnswer: -0.4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17960 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 2876. Let m = q + -354. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/2)\/c*c\/(c\/(c*c\/(c\/(c*c*c\/c**(-2\/9))))))\/(c**6*c\/(c*c**(2\/15)*c)) assuming c is positive.\nAnswer: c**(-13\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3288.408um?\nAnswer: 3288408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817815 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 3*z + 10, -4*g + 8 = -z. Let k = g - -3. What is the remainder when 23 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x + 3. Let u = 5 - x. Solve 0 = -u*q + 4, -q + 4 = 2*i + 3*q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*r - 9*r - 13*r)*(3*r**3 + 2*r**2 - r**3 - 3*r**2) to q + h*r + l*r**2 + d*r**3 + v*r**4 and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 3996?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 579701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -8, -5, 0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 15*d + 3*g - 91, 0 = 2*g - 54 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -374 - -371. Does 11 divide 134 - (c + 3 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/24*d**4 + 0*d**3 + 2*d**2 + 0*d + 0 + 0*d**6 - 1\/70*d**7 + 0*d**5. What is the second derivative of m(r) wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((38\/(-12))\/(-1))\/(((-640)\/20)\/(-96))*-2\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8605786)\/(-1085) + 3\/(-5)?\nAnswer: 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4233 is divided by 332?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55011387853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -6\/7, -4, 2\/9, -2.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 3 - 5 + 0 + f**4 + 5 to p*f**3 + m*f + q*f**2 + w + u*f**4 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g + 19. Suppose -g*p - 12*p + 13728 = 0. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 15. Let v = j - 16. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -20*o**2 - 67*o - 145. Calculate g(-6).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 28268.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55281.2 or -6\/29?\nAnswer: -55281.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352 and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + sqrt(405) + 1 + 1 + sqrt(405).\nAnswer: 2 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4\/2 - 23*b**3 - 201*b**2\/2 - 163*b - 84 = 0. Calculate b.\nAnswer: -28\/3, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4452 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1579000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7853, -15680, -23509, -31340, -39173, -47008, -54845?\nAnswer: -62684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/19253 and -17\/68126?\nAnswer: 885638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d**2 + 53*d - 63. Let y(x) = 5*x**2 - 27*x + 31. Let c(b) = 3*a(b) + 7*y(b). Let s be c(-31). Is 3.3 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 786 - 2454 = 0. Let x = h - -276. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 3*a - 41. Let h = 206 - a. Suppose -h = -5*f + 86. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8578, 27162, 58128, 101470, 157182, 225258?\nAnswer: 305692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 7*p - 6. Let w be a(-5). Solve 4*n + w = -d, -3*d - 2*n = 3*n + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.2. Suppose -207 = -3*z - 702. Let x = z + 1153\/7. Which is the biggest value? (a) i (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 - b + 1. Suppose 2 = 4*s - 3*s. Let a(r) = -2 + 3 + r + 5*r**s - 3 + 0. Calculate -3*a(d) - 4*n(d).\nAnswer: d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f + 72. Let n be ((-12)\/(-36))\/((-2)\/f). Suppose 4*i + n*i = 7. What is the nearest to 1 in 0.5, i, -1.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 5*j**2 - 6*j + 6. Let o be w(4). Let t be (8\/5)\/o*10. Let i be 42\/t*(3 - 11). Calculate the greatest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1001111?\nAnswer: -1001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*(-3)\/2. Suppose -23 = -5*y - 3. Let r be 345\/(-92) - (-1 - -2)\/y. Sort r, j, 6 in decreasing order.\nAnswer: 6, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7169 (b) -3 (c) 1 (d) -5\/2 (e) 4 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + r**2 + 2*r**2)*(1 - 1 + r**2) + (3*r**4 + 0*r**4 - 2*r**4)*(24 + 1 - 5).\nAnswer: 19*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10558 by -134.\nAnswer: -5279\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 75\/(-30)*(6\/8)\/(9\/(-144)). Solve 3*m + 27 = -4*d, 34*d + 12 = y*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 482*t\/3 + 1640.\nAnswer: -(t - 492)*(t + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h - 43. Let l be j(-3). Let a(p) = p. Let m = 9 + -4. Let q be a(m). What is the nearest to l in q, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485.5691 + -469.569157. Let b = -16 + l. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14365 + 48559. Let k = -17699 + j. Suppose -i = -3*p - k, 2*p + 3*i - i + 11010 = 0. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 2598502?\nAnswer: 101341578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 2, u: 1, o: 4}. Give prob of sequence hn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1118?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12130123 - 31?\nAnswer: 12130052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-11)\/31) - 22\/(-121).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 8*b - 1. Let u be (18\/(-4) - -2)*-2. Suppose 0 = u*v - 2*v - 15. Is s(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)\/((v*v\/(v\/(v\/(v\/(v*v**(-2))))))\/v))\/(v**(2\/5))**(2\/17) assuming v is positive.\nAnswer: v**(251\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1492 + -16414\/11. What is the second smallest value in -13.3, -1\/3, 2, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 2. Let w = -11 + 10. Calculate a(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254472 (base 15) to base 5.\nAnswer: 424131012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 68 + 4. Solve 0*o = -5*l - w*o - 25, 3*l - 5*o - 22 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 8*g - 6. Let k be x(9). Suppose -9 = k*q + 24. Let a = q + 16. Solve a*b - 14 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*y + 3*y. What is w in 22*w**5 - 10*w - 9*w**y - 15*w**2 + 3*w**4 + 4*w - 19*w**5 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1288 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 12 = 2*x. Suppose x*i + 2*c - 12 = c, -i + 17 = -4*c. Suppose -3*s - 438 = -i*q, -3*s = -4*q - s + 352. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {p: 1, h: 1, z: 1, m: 2, v: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i - 45*i - 1620 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 62. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/30*(-1)\/(6\/(-380)). Solve 20*c = c - l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 63 - (-42 - (-21 + -7) - (-23 - 0))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 + 18*u**2 - 3*u + 13. Let g = 12 + -21. Let w be o(g). What is the greatest common divisor of 120 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 12*s**2 + 14*s - 6. Give g(-12).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12272?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16174402501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 7*r - 8*r - 4. Let y(o) be the second derivative of 9\/2*o**2 + 5\/6*o**3 + 0 - 2*o. What is -14*t(l) - 6*y(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - q**2 + 1. Let b(x) = -3*x**3 - 3*x**2 - 2*x + 5. What is b(i) - 5*r(i)?\nAnswer: -8*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-63))\/(4\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94 or 286\/3?\nAnswer: 286\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(128)*-2 + sqrt(128))*-3)**2*-5.\nAnswer: -6480 + 2880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -d - 71, 3*d + 232 = 4*g - 53. Let a = -65 + g. Solve -a = 4*x + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5906*x. Let w(r) = 2*r**2 + 5846. Calculate w(m(l)).\nAnswer: 69761672*l**2 + 5846","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 9 + -16 + 10 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x. Let v(z) = 11*z + 1. Calculate 7*o(a) - 4*v(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 47698 and 47690 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -8 - (-13 + 3). Let u(t) = -14 - 8*t + 5*t - r*t + 10*t. Let y(z) = 4*z + 5 - 5*z + 0*z. What is -4*u(x) - 11*y(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9) + 19 - 6 - 15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 n when three letters picked without replacement from {f: 1, y: 2, n: 6, e: 7, c: 2}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121022010222 (base 3) to base 16\nAnswer: 4e563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -8. Let z = 0 - -2. Solve z*i + t = -0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87563\/15 - 5838. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1975, -1983, -1991, -1999, -2007?\nAnswer: -2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 5*m - 222. What is q(-15)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**3 - 12*c**2 + 19. Let p = -43 - -42. Let u(b) = -1. Let z(d) = p*w(d) - 3*u(d). Factor z(v).\nAnswer: 4*(v - 1)*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:18 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 0. Let a be (-1 - -1)*((-9)\/6)\/3. Put h, -1, a in increasing order.\nAnswer: -1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 25 = 4*m. What is the second derivative of d**5 + 2*d**m + 4*d - d**5 - 12*d wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*m**3 + 1756*a*m**2*n - 5*a*m + 10720*m**3*n - 5*m*n wrt a.\nAnswer: -m**3 + 1756*m**2*n - 5*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 46, 3, 43, 8 in decreasing order.\nAnswer: 46, 43, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:05 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let i(n) = -1256683*n + 1. Determine i(k(t)).\nAnswer: 1256683*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1, 106683.91?\nAnswer: 106683.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137 - -263) + (6 + (-11 - 12) - 6)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -76534, -153018, -229502?\n\"Answer: -76484*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -228*((-948)\/3792)\/((12\/8)\/((-2)\/(-1)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m - 1. Let s be j(4). Suppose 3*p = 5*p + 2. Let q be 68\/(-48) + p\/4. Which is the biggest value? (a) s (b) 0.4 (c) -0.2 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.119714823 minus -32.1?\nAnswer: 29.980285177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -39. Find the first derivative of -17*b**2 + 14*b**4 - z + 17*b**2 wrt b.\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u - 1, -5*u = -t + 107. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 1470.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n. Let z be g(1). Let x be (2 + -1)*0\/4. Suppose -y + z*u = -29, 2*y + y + u - 48 = x. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19958 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1403939 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36909437891033\/(-10180829953470) - 9\/15. Let v = 68\/58172847 - y. Let t = 3\/1591 + v. What is the common denominator of t and -79\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*z + 72, 7*z - 2*z = -5*i + 330. Suppose -5*g + 384 = 3*p, 0*p = -g + 4*p + i. Let r be 0 - 3 - g\/(-27). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 18*q - 1. Let v(i) = 54*i - 4. Determine 7*l(c) - 2*v(c).\nAnswer: 18*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 4*n - 3*x, -4*x + 9 - 1 = 0. Let v = 5 - n. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcy when three letters picked without replacement from {c: 1, y: 5, a: 11, p: 2}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27720 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 520 - 835. Let x = g + 2845\/9. What is the common denominator of 73\/27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273362315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -13*n + 1721. Let h(s) = 2*s**2 - 6*s. Give l(h(u)).\nAnswer: -26*u**2 + 78*u + 1721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -0.2, 3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 1. Let p be a\/(-5) - 36\/(-10). Suppose 3*w - u = 46, 5*w - u = -p*u + 72. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1500 is divided by 536.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(-4144) - (-52)\/(-962)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + -0.8. What is the closest to -0.2 in x, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:39 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -657.2 + 682. Let p = 27.91 - u. What is p rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 11:31 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 21211?\nAnswer: 21212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*((sqrt(180) + -2 + sqrt(180) + sqrt(180) - sqrt(180)) + -3) + -3 + (sqrt(180) + 0 - sqrt(180))*6)**2.\nAnswer: -3888*sqrt(5) + 26648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 12*q**2 - 17*q - 9. Does 8 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 1, -9, 9 in increasing order.\nAnswer: -13, -9, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111010110101110101 (base 2) to base 6.\nAnswer: -43350153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/720 + 2*b**4 + b**2 + 48. Let d(f) be the second derivative of u(f). Let z(j) = 55*j. What is z(d(p))?\nAnswer: -55*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.739258m in micrometers?\nAnswer: 5739258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 30474*v**2 - 30497*v**2 + 61024*v**2.\nAnswer: 53*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1429b0a?\nAnswer: -1429b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let t(r) = 7316*r. What is t(s(i))?\nAnswer: -7316*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -27*f + 39*f. Is (1354*3\/12)\/(1\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 13*r - 72. Let u(p) = p**3 - 4*p**2 - 2*p. Let d be u(5). Let c be ((-20)\/r)\/(d\/54). Solve c*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 22 - (0 - (3 + -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192*a + 15*a**2 - 2067 - 19*a**2 - 237.\nAnswer: -4*(a - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 428691 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v + 26*v - 96*v + 17*v - 623 + 27*v in the form g*v + n and give n.\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from {i: 2, d: 9, g: 2, c: 6}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 8. Let z be g(0). Suppose z*p = 7*p + 26. Let m be (1 - 2) + 27\/1. Calculate the highest common divisor of p and m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/12 - 4826227*n - 69877401166587 = 0. What is n?\nAnswer: -28957362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 5*m**2 + 0 + 1\/120*m**6 + 5\/24*m**4 - 1\/15*m**5 - 1\/3*m**3 + 0*m. Determine g, given that p(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12124, 12057, 11942, 11779, 11568, 11309, 11002?\nAnswer: 10647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 0, 4*w = 5*d - 1 - 1. Suppose w*g - 16 = 3*x, -2*x - 7 = 4*g + 25. Let r(q) = -q**3 - 9*q**2 - 8*q + 2. List the prime factors of r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4, 21 = -4*i - 2*b - 23 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1264)\/(-14) - (-2)\/(-7). Let x = z + -63. Let m = x - 4. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 2 (c) 228\/5 (d) -1\/6 (e) -247\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2 + f - 2. Is 13 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-26)*(81 + 5814\/(-72))?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271026 divided by 12906.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 + 332. Suppose -155 - 728 = s*x - 5*j, -3*j = x + 313. Which is smaller: -300 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34536 = 25*n - n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2775 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39095802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:18 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*d**2*k**3 - 23*d*k**3 + 2*k**3 + 2 wrt d.\nAnswer: 30*d*k**3 - 23*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.4? (a) -2\/3 (b) 3 (c) -0.02 (d) -2\/19 (e) 4 (f) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - 40*v + 49. Let j be i(-9). Solve f = j*y + 7, -19*f + 20*f - 2 = -y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -54 - -6d6d7?\nAnswer: 6d683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-7)\/((-14)\/116) + -2. Let l = -57 - k. Solve -l*v - 6 + 18 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*n - 2 = 0, -4*a + n + 2*n = -8. Let v = -13719583\/522 + 52567\/2. Let y = v - 16\/29. What is the nearest to -0.2 in y, 4, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 988 + -1009. Let y(s) = 7*s**2 + 33*s. Let g(c) = -3*c**2 - 17*c. Let h(v) = -5*g(v) - 2*y(v). What is the tens digit of h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from {e: 8, l: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -85*d + 1074. Let b be t(12). Solve -b*v - 361 + 91 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*g - 192 = 29*g. What is the nearest to -0.04 in -1\/6, g, -0.2, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 898 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j + 0*j + j**2)*(-2*j - 5 + 5) + j**3 + 2*j**3 + 10*j**3)*(-3*j + 5*j - 3*j).\nAnswer: -11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 26*w**2 - w - 20. Let s be k(-26). Let x = -41935\/964 + 1\/964. What is the common denominator of x and 256\/228 - (-1)\/s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 69.4. Let i = 9.29 - k. What is i rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 112876, 112864, 112844, 112816, 112780, 112736, 112684?\nAnswer: 112624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102) - -1*sqrt(102)*4 - sqrt(102)*1*5))\/((-5*sqrt(288))\/(-1*sqrt(3)*-6))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -46 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t**2 - 9*t. Let j(i) = -3*i**2 - 2*i. What is -9*j(k) + 2*x(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - (59 - 40 - -74).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/9))**(-1\/7)*(i**(18\/7))**25)**(-2) assuming i is positive.\nAnswer: i**(-1156\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/39? (a) 0.5 (b) 1\/4 (c) 1 (d) -12 (e) 376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 42. Let i be (-17 - -14) + f + 1. Suppose 2*k = n + i + 9, 2*n - 21 = -3*k. What is the greatest common factor of k and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/2*20\/15. Suppose -27 = -q - l. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-5445)*319\/(-116).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 - 3) - (26 + -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7135 divided by -9165.\nAnswer: 1427\/1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 5213245*w - 5213240.\nAnswer: -5*(w - 1042648)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 204?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 11*r**3\/2 + 4199*r**2\/6 - 1604*r\/3 - 512\/3 = 0?\nAnswer: -128, -8\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 divide 2903900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591064549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*o*q**3 - 1621*o*q**2 - 2*o*q - 55*o - 27792*q**3 + 30*q wrt o.\nAnswer: 7*q**3 - 1621*q**2 - 2*q - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k*(k*k**(3\/10))\/k*(k*k\/((k\/(k**0*k))\/k))**(2\/3))**(-9\/8) assuming k is positive.\nAnswer: k**(-1017\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**6\/15 - 17*a**4\/6 + 16*a**2 - 91*a - 99. Let j(w) be the first derivative of n(w). Determine y, given that j(y) = 0.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44867*u - 30526?\nAnswer: 44867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110003 - 104?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqgqqgqt. Give prob of sequence tu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) - (-1)\/(-3). Let y(l) = -2*l**3 + 2*l**2 + 4*l + 5. Let u(x) = 3*x**3 - x**2 - 3*x - 4. Let g(b) = 4*u(b) + 3*y(b). Determine g(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*m = -6, -4*r + m + 57 = -4*m. Let x(z) = -z**3 + 9*z**2 - 8*z + 3. Calculate the smallest common multiple of x(r) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15156 - 15151. Let m = 2 + -2. Suppose 340 = -m*u + 4*u. Calculate the greatest common factor of z and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*h = -4, -6*m = -10*m + 5*h - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + z + 2*z)*(3*z - z - 4*z) + 3*z**2 - 3*z**2 - z**2 - 2*z**2 + 4*z**2 - z**2 + 3*z**2 - 6*z**2 + 12*z**2)*(-49*z - 43*z - 5*z + 26*z).\nAnswer: -355*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 372*z**2 + 17187*z + 3458. Determine q(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 125*m**2 - 410*m + 280.\nAnswer: 5*(m - 2)*(m - 1)*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 14*b + 74 = 0, 3*d = 4*d + 5*b - 23. What is the remainder when 1185 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 146 = -322. Calculate the common denominator of 61\/20 and (-52)\/m - 458\/72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/4)*q*q)**(-12))**(2\/37))**(4\/3) assuming q is positive.\nAnswer: q**(-40\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1804*b = 5*w - 1808*b - 1, 4*w + 19*b = 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from tbl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3 - 5736*d**2 - 5729*d.\nAnswer: -d*(d + 1)*(7*d + 5729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**3 + 9*s**3 + 23*s**3.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 49. Let i(d) = -3*d + 49. Let b(f) = -5*a(f) + 4*i(f). Let r(g) = 2526*g + 106069. Let l be r(-42). What is b(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 0.98. Let o = y - -0.7. Which is the second smallest value? (a) o (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6.1. Let c be ((-2)\/5)\/((-1)\/2). What is the closest to 1\/2 in c, r, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 10:26 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/644 and -29\/208334.\nAnswer: 416668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*z**2 + 3023210*z - 25685947 wrt z?\nAnswer: 12*z + 3023210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 830*s**2 - 2397*s**2 + 3*s**3 + 1117*s**2 as d*s**2 + r + u*s**3 + j*s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*q*u + 1610*m*q + 3*q*u - 2*q - 3*u with respect to m.\nAnswer: -q*u + 1610*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336993129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 37 + 3*l - 3*l)*(-3*l - 3*l + 5*l).\nAnswer: -3*l**2 - 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 22*g**2 - 111*g + 623. Calculate the remainder when h(14) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -6, -4*z = -2*j - 5*z + 1. Suppose 8 = -w + j*l + 2, -w = 3*l - 19. Suppose 0*c - 136 = -w*c. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 + -2 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xryczcf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205 + -169.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3))**(2\/25)*(g**(2\/7)*g)**32 assuming g is positive.\nAnswer: g**(21656\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 4*sqrt(1100)*-1 - sqrt(1100))\/((-2*sqrt(44)*3)\/sqrt(11)).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 - p**2 - p**2 - 1 + 2*p. Let u be v(1). Let d be u\/(27\/6) + 1. Sort 0, d, -2\/5 in increasing order.\nAnswer: -2\/5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -79) + (-8 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/179634 and 233\/2730.\nAnswer: 898170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*x**2 - 286*x**2 + 3580 - 602*x + 2*x**3 - 7907 + 4025.\nAnswer: 2*(x - 151)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62aa9 (base 12) in base 13?\nAnswer: -46bc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 3*t + 3. Suppose 5*m = 4*m - 3. Let h be q(m). Solve 0 = -5*y + h - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/80)\/(23\/(7590\/(-88))).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + -5*sqrt(243)*-6 - (3*sqrt(243) + -4).\nAnswer: 4 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -1682955.\nAnswer: 26\/1682955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 3.5\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:34 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 3*m - 3, -58*u = -63*u + 2*m - 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 25, -3*i + 2 = -5*x. Let c be (0 - 1)\/((-3)\/i). Find the first derivative of -2*h**c + 2*h**3 - 4*h**3 + 1 wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 + 5*k. Let s(u) = 6*u**2 + 6*u + 3. Let a(b) = -5*b**2 - 6*b - 2. Let p(i) = 3*a(i) + 2*s(i). What is -5*p(f) - 6*t(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = -3*n + 20, 0 = 5*n + 2*w - 10. Let l(f) = -42*f + 13. What is the tens digit of l(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-1)\/(-10)). Let k be (4 - -2)*1\/3. Let v(n) = 2 - n**3 - 2*n + n**2 - k*n - 7*n**2 - 2*n. Determine v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/11 - 434*d**4\/11 - 9996*d**3\/11 = 0. Calculate d.\nAnswer: -21, 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -45, 5, 2 in descending order.\nAnswer: 5, 2, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 2. Let s be l(-2). Suppose -3*g = 3*q - 171, -q - 99 = -2*g - s*g. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, r: 2, v: 2, k: 1}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a kilometer in meters?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171*c**2 + 266*c**2 - 94*c**2 - 25 + 7*c)*((3 + 3 - 4)*(1 - 1 - c) + 0*c + c - 2*c).\nAnswer: -3*c**3 - 21*c**2 + 75*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 45 = -5. Which is the second biggest value? (a) s (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**4 - w**2 - w - 1. Let i(c) = 2*c**4 - c**2 + 5*c + 5. Let k(a) = -i(a) - 5*l(a). Find the third derivative of k(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53803491?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 13*z**2 - 32*z + 26. What is y(9)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -543? (a) -8 (b) 239 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-22)*(-13)\/((-468)\/(-198)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 3)*((-15)\/1 - -5). Suppose v*f - 298 = 232. Calculate the remainder when 102 is divided by f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -3*t**4\/4 + t**3 - 5. What is the third derivative of j(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/560*3*(-4)\/18.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**2 - 84*p + 132. Let i be z(16). Calculate the highest common factor of i and 1076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*q + 363*q + 72 = 0. Let j be 8\/(-10)*18*-5. Suppose -2*t - 7*t = -j. Calculate the lowest common multiple of t and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2525*j + 3 - 7445*j - 1 + 2*j**2 + 0 as b + x*j**2 + m*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 - 4*i + 2*i**2 - 117 - 82 to s + k*i + z*i**2 and give s.\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -16) + -15 + (1 - 2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9367*n**2. Let g(w) = 7*w. What is f(g(t))?\nAnswer: 458983*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 0.41175?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 227*i**3*o**4 + 65486*i**3*o**2 + 379*o**4 wrt o.\nAnswer: 5448*i**3*o + 9096*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1515, -1505, -1491, -1473?\n\"Answer: 2*j**2 + 4*j - 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-18)\/63)\/(5\/(-7)). Let t = 9\/143 - -30575\/429. Let l = t + -1489\/21. Which is the nearest to u? (a) -1 (b) l (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.001 (b) 3\/5 (c) -26\/5 (d) 1\/11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -10*v - 7. Let w(g) = -19*g - 13. Calculate 6*w(b) - 11*x(b).\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -108854, -108850, -108846, -108842, -108838, -108834?\n\"Answer: 4*k - 108858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -22*g**3 + 2*g**2 + 47*g + 118. What is the remainder when q(-7) is divided by 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 983*q**2 + 13*q - 13. Let m(a) = -656*a**2 - 9*a + 9. Give -7*m(g) - 5*v(g).\nAnswer: -323*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:03 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*a**2 + 126.\nAnswer: 142*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, 0.03, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8984*u + 29309 + 9915 + 2460 + 12220 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-322)\/(-184) - (-18)\/8. Suppose 0 + 18 = 3*m. Let x(c) = -c + 7. Let r be x(m). What is the second biggest value in -0.4, r, j, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 98, 338, 718, 1232, 1874, 2638, 3518, 4508?\n\"Answer: -k**3 + 76*k**2 + 19*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 2, b: 12, j: 1, m: 4}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316445398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13365603 (base 8) to base 2\nAnswer: 1011011110101110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 54 = -p, u = -4*p - 89 + 339. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/29, 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 14788.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 613*r\/3.\nAnswer: r*(r - 1226)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259391770 + 5?\nAnswer: -259391765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -2, 19, 18 in increasing order.\nAnswer: -2, 1, 5, 18, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -1)*5 + (sqrt(432) - (sqrt(432) + -2 + -5)))**2*-3.\nAnswer: -32412 - 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q**3 - 2*q + (q - 2*q - q)*(1 + q**2 - 1) + 4*q + 2*q**3 - 4*q + q**3 - q**3 - q**3 + (699*q - 86*q**3 - 699*q)*(3 - 8 - 3).\nAnswer: 685*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 4*o**2 - o**2 + (19*o - 34*o + 3*o)*(-2 + 2 + 2*o) + 279*o**2 - 208*o**2 - 167*o**2.\nAnswer: -117*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -5, -2\/85, 0.3, 1.9, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 78. What is the hundreds digit of (9\/6)\/(m\/(-742))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 7, -2, 16923, 0 in increasing order.\nAnswer: -3, -2, 0, 2, 7, 16923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:22 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -219*a + 1. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + 4.7. Let b = 1.7 - 18.7. Let k = b - -17.5. What is the second smallest value in 1\/4, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**4\/4 + 49*h**3 - 291*h**2\/2 + 5*h + 138. Factor x(q).\nAnswer: -3*(q - 97)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-12)*l)\/l**10 assuming l is positive.\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 302175 and 51?\nAnswer: 302175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*n + 10*n - 1255 = 0, -5*h + 4*n - 1255 = 0. Let j = 172 - h. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/63 - (-780)\/14 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-98))\/(-1*1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5430 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70\/875*(-21250)\/(-102)\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -301\/5 (b) -3 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -209.399999099 - -209.4. What is n rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 45\/4 (c) 2 (d) -3\/67 (e) -0.1 (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:26 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-6) + 3 + 4 + 651\/(-90). Which is smaller: v or 1194?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/126397 equal to -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 39542.\nAnswer: 39542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:28 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5*z + 17*c**4*z - c*z - 40*z wrt c.\nAnswer: -20*c**3*z + 204*c**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - 9*g**3 + 7*g**3 + (0 - 4 + 5)*(3*g**2 + g**3 - 3*g**2) + (-4*g**2 + g**2 + 2*g**2)*(-3 + 3 + g) + 2*g**2 - g**3 - g**3 - 4*g**2.\nAnswer: -5*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v = 670943 + 391526 - 188127. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -195*n**2 + 1560*n + 3120. Let l(c) = c + 2. What is -5*f(s) + 7800*l(s)?\nAnswer: 975*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6809 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*t + 15, 6*t + 5 = 3*t - z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2508 rounded to two dps?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -25. Suppose 4*n - 4*a - 1 = 31, 0 = -5*n + a + v. Let g(d) = 2*d + 2. Does 18 divide g(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v**3 + 16*v**2 - 28*v - 30. Let f(u) = -14*u**3 - 24*u**2 + 42*u + 44. Let m(a) = -5*f(a) - 8*k(a). Factor m(w).\nAnswer: -2*(w - 2)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - (-14)\/7) + 1*-2. Let c(v) be the third derivative of -1\/60*v**d + 0 + 0*v + v**2 + 0*v**3 + 0*v**4. Factor c(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 10. Solve -4*s = j - 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 1, f: 4, o: 2, z: 2}. What is prob of sequence oizz?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6782 - 0?\nAnswer: 6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let n be y(0). Suppose -5*u + 79 = n*g, -2*g + 5*u - 39 + 168 = 0. Let m = -33 + g. What is the remainder when 37 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19939396*f**3*x**4 + 56*f**3*x**2 + 2*f**3 + 40*f*x**2 + 38*x**2 wrt x?\nAnswer: -478545504*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v - 11*v - 19*v**2 as r*v**2 + g + i*v and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 times -1857\nAnswer: -6499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 8. Let m(j) = -j. Let i(z) = -3*m(z) + s(z). Let r be -3 + 1 + 1 + 1. Suppose r = -3*c - 2*c. Calculate i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279344 and 5353198?\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 0.3, 27755.42?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -40 and -38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5324*c**2 + 2876*c**2 + 903*c**2 - 266*c**2.\nAnswer: 8837*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23016088217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33254151799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-126) - 896\/(-18). Let y be (11\/(-2))\/(5\/w). Let j = 108 + y. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 32609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**2 + 3*i - 2. Let b(f) = -8*f**2 + f**2 - 1 - f**2 + 2*f + 2*f**2. Let h(o) = -5*b(o) + 4*q(o). Let l = -2 + 4. What is h(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 6. Find the second derivative of 2*j + 128 + g*j**3 - 128 wrt j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 22 = -8*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390341853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 40. Let n(v) = -3*v - 15. Calculate the remainder when d is divided by n(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 0*r**2 + 6 + 3*r**2 + (1 - 2*r - 1)*(-r - r + 4*r) in the form f + u*r + b*r**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -5\/336*v**8 + 0*v + 1\/12*v**5 + 0 - 1\/42*v**7 + 0*v**4 + 1\/24*v**6 + 0*v**3 - 12*v**2. Factor s(d).\nAnswer: -5*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2275 = -296*v - 1437 + 3898 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 8*p**2 - 7*p + 5. Let y be h(-7). Let g be ((-1)\/2)\/(y\/20). Let d(n) = -n - 2. Let l be d(g). Solve -4*q + l*v = -v + 15, 5*v = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4652306\/4*-7*(-2)\/7. Suppose -3*t = 3655847 + l. What is t rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 - 88. Suppose -3*j - 14 = y*k, -2 = j + k + 1. Suppose -10 = j*p, 3*d + 3*p + 2 + 1 = 0. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 5 = j. Suppose 7 = -3*t + 25. Calculate the remainder when t is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 389*z + 507. What is w(132)?\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (-126)\/(-35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/8931 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by ((-10)\/(-8))\/(-2*(-1)\/56).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.502711 take away -26?\nAnswer: 0.497289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (314\/(-162652)*74)\/((-250)\/(-28)).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -0.9. Let h = -0.4 + 0.7. Let j = -0.16 - -0.16. Which is the second smallest value? (a) h (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 20.\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d4aa (base 14) in base 10?\nAnswer: -113438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 12:35 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15988447 or -15988444?\nAnswer: -15988444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2. Let r(d) = -3*d. Let s(p) = 8*p. Let o(a) = -5*r(a) - 3*s(a). Determine o(h(y)).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15 + 0.05. Which is the closest to q? (a) 5 (b) 3\/8 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l = -24*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 13) to base 10\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**3 + 2*g**2 + 5*g. Let u(f) = 8*f**3 - 3*f**2 - 6*f. Let w(c) = -c**3 - 11*c**2 - 25*c - 4. Let o be w(-8). What is o*u(h) + 5*n(h)?\nAnswer: -3*h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -2.4. Let h = -775\/3 + 257. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -131*j + 2102. What is z(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133609 - 66811 + 11*q - 66798.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 n, and 1 a when four letters picked without replacement from nccanhaccaecn?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(2 - 7\/3). Solve -2 + y = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 124.6, -86, 1128\/7?\nAnswer: 124.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411913 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105297 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29528.\nAnswer: 2, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/5, -38, 17 in decreasing order.\nAnswer: 17, 2\/5, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9)**49)**(5\/6) assuming x is positive.\nAnswer: x**(735\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 36. Suppose 3*o + 6 = a*o. Suppose -c + o*y = -43, 0*y + 4*y + 188 = 4*c. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 68*v + 102. Let m be i(-12). Solve 102 - m = 24*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-3 + 8) + 2. Let w = 0 + h. Suppose -w*o + 7*o = 0. What is o rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 + 3*c + 9. Let k = 3 + -9. Let o be n(k). Let v = 0 - o. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 2, i: 2, q: 2, z: 1}. What is prob of picking 2 i and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -17*d - 10. Let f = 9 - 15. What is the tens digit of k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, w: 6, r: 2, h: 2, o: 1}. What is prob of picking 1 h, 1 w, and 1 o?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 - 21*b**3 - 6*b**3 + 30*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 97.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 - 10*h**2 - 21*h - 54. Is 24 a factor of n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 908*f. Let y(o) = -o + 8. Determine y(d(t)).\nAnswer: -908*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*y**2 + 46*y**2 + 42*y**2 to the form u + n*y**2 + r*y and give n.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 1550*b**3 + 309150*b**2 + 18407250*b.\nAnswer: 2*b*(b + 135)**2*(b + 505)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 9. Let b(r) = -8*r - 4. What is the tens digit of b(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfcfjkffkcff. What is prob of sequence kj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x**15*x**(2\/23)\/(x*x**(-8)))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 27.9. Let z = 43.9 - 48. Let x = z + 1.1. Sort x, d, -0.2 in decreasing order.\nAnswer: d, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, 1.47, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 4817*n - 4822*n - 17, -7*k = -5*n - 39 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-6) + -2 - 232050005\/15. Round s to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 17*h - 647. What is n(-35)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43516, 87118, 130732, 174358, 217996, 261646, 305308?\nAnswer: 348982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a day in minutes?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/((c**(2\/27)*c)\/c))\/c**(-3))\/(c**(2\/9)*c\/((c*c\/(c\/((c**(-1\/6)*c)\/c*c*c)*c))\/c)))**(1\/18))**(-45) assuming c is positive.\nAnswer: c**(-955\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in years?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/8)\/(((-108)\/15)\/6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2144)\/(-80)*((-24)\/(-3) - 3) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 3) to base 7\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u - 33. Let v(m) = m - 1. Let f(p) = i(p) - 12*v(p). What is the units digit of f(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 18. Suppose 9 = 3*v - 4*u, 2*v = 3*v + l*u - 19. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z + 62*z + 48*z)*(-4*z + 3 - 3).\nAnswer: -480*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168.37 + 2.37. Let l = u - -361. Let z = l - 195.0000254. What is z rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (0 - 0) - 1. Let l(t) = -3 + 2*t + 4 - 1. Let y be l(-2). Sort y, 5, m in ascending order.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16765, 22302, 27839, 33376?\n\"Answer: 5537*r + 11228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 237.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -116 and -1420857?\nAnswer: 164819412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1204078195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 5 - -3 - 3. Suppose 3*h - 2 = 2*v, 0 = -2*v - 6*h + 4*h + 8. Sort p, -1, v, 8 in increasing order.\nAnswer: p, -1, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2689287079 + -1173?\nAnswer: -2689288252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241270249 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: Let s be 4\/(-32) - (-1)\/8. Suppose s = 3*n + 4*c - 83, -5*n - 19 = 3*c - 161. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -355, -844, -1543, -2452, -3571?\nAnswer: -4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*h**3 + 4*g*h**2 - 3*g - 92*h**3 wrt h.\nAnswer: 18*g - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 20 = 17*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 553.0000895 + -553. Round d to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 0, 1.06, 4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -505*a**3 - 3040*a**2 - 2585*a - 50.\nAnswer: -5*(a + 1)*(a + 5)*(101*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23807783 and 2875.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1683*-2.2\nAnswer: 3702.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2394 - 2394. Is r at least as big as -11\/200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:19 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-455)\/390*54\/14?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 332992 and 332992?\nAnswer: 332992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 + 854*h - 2560\/3 = 0. What is h?\nAnswer: 1, 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 186040 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/38 or 0?\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**3 + 3*x**4 - 12*x**3 + (2*x**2 + 2*x - 2*x)*(0*x**2 - 4*x**2 + 10*x**2) to the form r*x**3 + h + z*x**2 + a*x + q*x**4 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/3289 + 233451\/111826. What is the common denominator of 5\/11 and m?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -1) + (-1026 - -1028).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 6:03 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/20 + 535*a**3 + 4174*a**2 + 3722*a - 2. What is the first derivative of j(r) wrt r?\nAnswer: -3*r**2 + 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -25, -2, 51, 146, 295, 510, 803?\n\"Answer: 2*d**3 - 3*d**2 - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.976 + 1.024. Which is the nearest to q? (a) 74 (b) 0.3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zozzztdwzzdt. What is prob of picking 2 z and 1 w?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29376386?\nAnswer: 2, 13, 1129861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12175, -24439, -36789, -49219, -61723?\n\"Answer: q**3 - 49*q**2 - 12124*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1310b8b (base 13) to base 10\nAnswer: -5971223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177680 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((290\/(-203))\/((-8)\/7))\/((-5)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -15, 0.6632, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -11*p + 4*p. Solve 3*q + q = -2*v + 6, 4*v - p*q = -24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-120)*-7)\/(18*4\/540).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) -16 (b) -0.2 (c) -5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53442019\/90 - -593774. Let l = d + 148\/5. Find the common denominator of 2\/(-8)*(-380)\/6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8164517 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -246 - -350. Suppose -41*g + 168*g = 508. Calculate the greatest common factor of k and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -4\/59 (c) 4 (d) -52\/3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:10 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b - 4 = 0. Let l be (1\/(-2))\/(b\/36). What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 0*q - 4*q**2 - 101*q**3 + 4*q**2.\nAnswer: -101*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -311553?\nAnswer: 311551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjm when four letters picked without replacement from {q: 2, j: 5, m: 5, w: 3}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-2 - 18)) + 7 - (0 + -55 - 0).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3328703628 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/32)\/((-4)\/((-128)\/(-12))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1979976 = -0*q. Suppose 3*n = 12, -a + 2*n + 9 = 3*n. Let l be (-3)\/(-1) + (a - q). What is l rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 62\/(-15))\/((-128)\/(-80)). Let r = -26\/3 - -107\/12. Is r > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39232, -78457, -117692, -156943, -196216?\n\"Answer: -n**3 + n**2 - 39221*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14 = -5*w, 2*x - 12 = 16*w - 18*w. Factor -10\/11*u**3 + 0*u - 4\/11*u**w - 2\/11*u**5 + 0 - 8\/11*u**4.\nAnswer: -2*u**2*(u + 1)**2*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:12 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let t(w) = -8481935*w**2. Calculate v(t(y)).\nAnswer: -16963870*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/529, 10, 1, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1176, 4768, 10752, 19128?\nAnswer: 29896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = 526. Let h = s + -593. Let q be (h\/(-140))\/(-2) - -3. Is q greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.786 - 0.568. Let f = 1.22411 - q. What is f rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9136435411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (318 + 42)\/15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 - 6*y - 2. Let x be z(-1). Suppose -2*r + 7 = 4*s - x, -3*r = 3*s - 6. Is (6\/s)\/(-1) - (-3903 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 8*w - 22*w**3 + 17*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(8500\/(-90))*(-56)\/(-42)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164\/7 + 1441\/63. Let v be 33\/(-22) - (-7)\/(-14). Is v <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*r**3 + 7*r**2 - 26*r**3 - 7*r**2.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -12. Let n = -916 + 916. What is the second biggest value in -0.4, -2\/7, n, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726144719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 48612274?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-66)*-2 + 4148\/22. Let l = y + -174. Suppose -4*s - 3*i + 940 = 0, -2*s + 2*i = -280 - 204. What is the highest common factor of l and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - u = -278, -x + 2*u + 40 = -48. What is the remainder when x is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -164487.\nAnswer: -44\/164487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1225, 1208, 1193, 1180, 1169, 1160, 1153?\nAnswer: 1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4852324.\nAnswer: 2, 1213081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 + 2*v + 15. Let h be j(5). Let q = 50 - h. Suppose -2*i - l + q + 192 = 0, -4*i = -2*l - 400. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1984, 3993, 6002, 8011?\n\"Answer: 2009*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/56)\/(4\/14). Let j(x) = -62*x**m + 3*x + 0*x - 2*x - 6 + 60*x**2. Let b(a) = 2*a**2 - a + 5. What is -4*b(s) - 3*j(s)?\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10035406667.777518501 + 10035406673. Let q = z + 510.777582301. Let r = -516 + q. Round r to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 14 + 8*h**2 - 19 - 2*h**3 + 32 to v*h + k*h**2 + j + m*h**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2\/9*t**2 - 2\/9*t + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 5*u + 417. List the prime factors of u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - 0.230003. What is p rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*u**3*x + 28587*u**3 - x**2 - 3*x with respect to x.\nAnswer: 32*u**3 - 2*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + -4 + (3*sqrt(133)\/sqrt(7) + 5)**2 + 3.\nAnswer: 30*sqrt(19) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * -0.03\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -454 - -521. Sort 0.4, q, 0.\nAnswer: 0, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*sqrt(76) + -1)**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + (-77)\/(-98). Suppose -37 = -j - 5*y, -4*y + 123 = 4*j - 25. Let g = -36 + j. Is v equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4277 or 1\/159?\nAnswer: -4277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 316, 831, 1556, 2491, 3636?\n\"Answer: 105*v**2 - 10*v - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9ac92 - 46?\nAnswer: -9b008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z + 5. Let h be u(-3). Let f(b) = -b + 27. Let l be f(h). What is the highest common divisor of 117 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2970 by -207.\nAnswer: 330\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 2 + 15 + 5 + 2. Let u be w(12). What are the prime factors of u\/(-16)*-3*-32?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 50 - 162 = 0. Suppose -24 - 144 = -12*m. Calculate the highest common factor of m and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 - q - 3. Let f be b(-6). Suppose 2*i = -f*i. Suppose -5*v - 46 = -2*r, i = -0*r - 2*r + 4*v + 42. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tutpoppqpuqt. Give prob of sequence ptuu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 20. What is m(-9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 3*b**3 - 4*b**2)*(-1 + 1 - 1 + 0 - 2 + 0 + (0 + 2 - 4)*(2 + 0 + 0) - 3 + 2 + 2 + (-2 - 5 + 5)*(-2 + 2 + 1)).\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 2138*i + 195536.\nAnswer: 2*(i + 101)*(i + 968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**4 + u**3 - 3*u**2. Let j(t) = -33*t**4 + 10*t**3 - 24*t**2 + 9*t. Let b(s) = 8*g(s) - j(s). What is the second derivative of b(y) wrt y?\nAnswer: 492*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 13 + 12 - 25 - 14*q. Let r(j) = j**2. Determine y(r(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(14 + -2 + -3). Suppose -2*o + a = 5. Let b(z) = -o - 4*z - 3*z**2 + 2*z**2 + z**2 + z**2. Calculate b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-2)\/(304\/133))\/(1\/(-8)*-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 4398\nAnswer: 127542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c**5\/8 + 3*c**4 - 35*c**3\/8 - 25*c**2\/4 + 19*c\/2 - 3 = 0 for c.\nAnswer: -3, -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -334\nAnswer: 3\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9654, 9629, 9586, 9525?\n\"Answer: -9*u**2 + 2*u + 9661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a hour in minutes?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2534 - -2532.25. Which is the nearest to o? (a) -1\/4 (b) 1 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**2 + 7025*o - 83580 = 0.\nAnswer: 12, 1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1887881 (base 10) to base 7.\nAnswer: -22022012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:06 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**4 - k**3*p**3 + 31*k**3*p + 20102*k*p + p**3 - 9*p wrt k?\nAnswer: 60*k**2 - 6*k*p**3 + 186*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 + 4 = -4*n, -4 = n + 2*w. Solve n*j = -j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53 - 53.3. What is the smallest value in -2, 4, b, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.11955 rounded to 1 decimal place?\nAnswer: -18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -181, -725, -1891, -3901?\nAnswer: -6977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -89.29511179\nAnswer: -93.29511179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1001001 (base 2) to base 3\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o - 2 - o - 3 - o**2. Let s be u(4). Let v(b) = -b + 4. Let r be v(s). Solve -3*w = -5*d + r, 3*d + 2*d + 9 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13195\/1131 - (-807)\/(-69).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -121. Suppose -2*p - b = -3, b = 4*p - 11 - f. Solve -5*t - y + 4 = 0, t = -p*t + 3*y + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.75 + -20.15. What is the nearest to 2 in 2, i, -0.02, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f\/(f*f**(1\/10)))\/f)\/f)\/f**(-9\/2))**(-9\/4)\/((f\/(f*f\/(f**13\/f*f)))\/(f\/(f*f**(-2\/9)\/f)*f))**(-2) assuming f is positive.\nAnswer: f**(869\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*n - 1320 = -2*h, -3*h - 5*n + 792 = 0. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 475*c**3 - 226.\nAnswer: 1425*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3624217952473 and -0.2?\nAnswer: 3624217952473.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s + 0*s - 4*s)*(1 + 1 - 3)*(s - s + s**2) to q*s**2 + g + f*s + u*s**3 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150.36 rounded to the nearest one hundred?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 3*k - 5*s, 0 = -2*k + 4*s + 2393 - 2443 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1 - 1 + 3*r - 3. Let s(f) = -3*f + 4. Let k(j) = 5*s(j) + 4*t(j). Let a(b) = 4*b**2. Calculate a(k(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*t - 11, 5*w - 3*t = 3*w + 1. Let f(x) = x - 14. Let n be (-27)\/(-9)*(-14)\/(-3). Let c be f(n). What is the nearest to -1 in c, w, 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 369 + -83. Suppose a = -2*b + 208 + r, 4*b + 4*a = 996. Suppose -38 = -3*p + 3*k + 142, 5*k + b = 4*p. Calculate the highest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/11 - -1\/33. Let f = -2.14 - -0.14. Which is the closest to -3? (a) u (b) f (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h - 241 = -f, -2*f = 10. Suppose 0 = -y - 5*v + h + 287, 5*v - 15 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -32*w + 94. What are the prime factors of a(-32)?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 + 70 - 85 + (2 + 1 - 4)*(1 + 0 + 0))*(-2 + 1 + 0)*(-2 + 2 + a).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 13. Suppose 669 = -2*n + 2*y + 665, -3*y + 24 = 3*n. Solve -h + z = n*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/18 and 53\/436.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.883?\nAnswer: -0.2649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*v + 3 = -m, 5*m = -v + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) -15819 (c) -3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**24*((z*z**(-2\/7))\/z*z)**35)**(-1\/35) assuming z is positive.\nAnswer: z**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1640 - 1688 + 3175 + 5*d + (0 - 3 + 1)*(-3*d + 6*d - d) in the form r + m*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 167 and -4.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11097913 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 1. Sort 1\/7, 2\/15, v in descending order.\nAnswer: 1\/7, 2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.1341 - -19.572. What is c rounded to 1 decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140258?\nAnswer: 2, 19, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35773 or 1?\nAnswer: -35773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130284 and 44.\nAnswer: 130284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(6\/16)\/((-57)\/(-304)*-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 2997?\nAnswer: -2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 2*v)*(0 - 1 - 3) - 2*v - v + 0*v + (2 + 4 - 4)*(-3*v - v + 2*v) - 3*v - 2*v + 3*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1611?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 greater than 803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (22 - 15)) + -21 - -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7223 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-22)\/((l*l**(-5))\/l*l) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/16)\/w*w*w**9*w*w*(w**(-29))**(-2\/135) assuming w is positive.\nAnswer: w**(24553\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2786, 2502, 2218, 1934, 1650?\n\"Answer: -284*t + 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*b + 12, -3*r + 0*r = -3*b - 9. Suppose -i + 5*o = -213, 0 = -5*i + o - r*o + 1113. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p. Give m(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/16 - 478237\/(-248).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 6*k + 15)*(-2 + 2 + 2*k)*(5*k**3 - 3*k**3 - k**3).\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7502?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-25)\/(-50))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9176 to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 4*s**3\/27 - 10*s**2\/9 - 2. Let r(d) = 0. What is d?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - x**3 - 4*x + (-58*x**2 + 15*x**2 - 24*x**2)*(-2 + 2*x + 2) - x**2 + x**3 + x**2.\nAnswer: -134*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8430787.\nAnswer: 8430787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/68529 or 0?\nAnswer: 2\/68529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {w: 2, x: 6, j: 2, i: 1, u: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 + -2. Let m = -2292 + 217732\/95. Let b = m + -6\/19. Which is greater: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 4028228.\nAnswer: -4028228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-1)\/3)\/((-38)\/57).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:05 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 13. Let f be n(-5). Suppose 0 = 4*j + 4*w + 28, 0 = 5*j - f*w + 7*w + 36. Let d be (-6)\/j - (-4)\/16. Put d, 13, 4 in descending order.\nAnswer: 13, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5 + sqrt(175)*2 + 0)**2 + (sqrt(175)*1*1 - sqrt(175)) + -2 + 4.\nAnswer: 100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 7382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.542 - 30.342. What is the closest to 7 in -0.2, 0, f, 0.68?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/14)\/(3*(-9)\/(-54)) + (-24)\/(-18)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 14*v - 23. Calculate x(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 244, 2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 190553608 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1567, 0.065 in descending order.\nAnswer: 2\/7, 0.065, -1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3 + 234*l**2 + 3880*l + 15288 = 0 for l.\nAnswer: -98, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/8)\/(-4)*(-10)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306128, 306126, 306124, 306122?\nAnswer: 306120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1941305 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -3*m - u + 166, 0 = -4*m + 3*u + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/129 (b) 0.2 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/39, -1410, 4\/5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -316 (b) -0.4 (c) -2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29025 and 25?\nAnswer: 29025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.49. Let b = v - 5.91. Let o = 6.00056 + b. What is o rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 27 - 84. Suppose -i = -4*b + x, b + i = -4*i - 11. Let d = -7 - -6. Is b at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 3*q**2 - 5*q**2 + q**2 - q**3 - 4. What is r(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.36, -5117, -5?\nAnswer: -5117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2673\/25367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-16))\/(-5) + (-4)\/16. Let q(m) = -m + 12. Let f be q(8). Put -1, 1, f, n in descending order.\nAnswer: f, 1, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3900 + 5*r - r + r**2 - 3902. Let p(c) = -c**2 - 6*c + 3. Let x(f) = 2*p(f) + 3*w(f). Let h(d) = -3*d - 3 + 3. Calculate h(x(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 132.9. Let w = g - -8. Sort -0.5, w, -1 in decreasing order.\nAnswer: w, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275.16 - -0.6.\nAnswer: 275.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1307 - 4.1726?\nAnswer: -1311.1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*8178.\nAnswer: -531570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3*u - 235*m*u - 2*m + 212*u wrt m.\nAnswer: -6*m**2*u - 235*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*v**4 - v**4 + 0*v**4 + 3*v**4 + (-4 + 4 - v**3)*(4*v + 13*v - 4*v).\nAnswer: -13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43368443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose -382 = c*u - 5*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100310 - 3?\nAnswer: -100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 4) to base 15\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Suppose 0 = -3*h + 16 + f. Solve 0 = -4*r - 3*u - h, -4*r + 8 = -u - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalglaagaaalaa. What is prob of picking 1 a, 1 l, and 1 g?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.78 + -0.7. Let z = g - -0.42. Which is the nearest to 0? (a) -1 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18411)\/34*8\/(-6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17007 rounded to the nearest 100?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and ((-2667)\/(-21))\/((-3)\/(-12))?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40542 is divided by (-1 - -6) + -6 + 4 + -159 + 207?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**3 - 6*p**2 + 4*p - 8. Let c(k) = 3*k**3 - 5*k**2 + 3*k - 7. Let q be (-136)\/(-32) - (-3)\/4. What is q*s(o) - 6*c(o)?\nAnswer: 2*o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**3 - n**2 + 6*n - 5. Let v be u(-5). Let x be (371454\/34)\/(v\/(-3)). Let o = -1\/1955 - x. Find the common denominator of -7\/4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**3\/2 - 126*o**2 - 936*o + 81120 = 0.\nAnswer: -52, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*-15*5*(-63)\/(-105)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 5*g**2 - 5*g - 3. Let o be 3\/(-5) + 17\/(-5). Let a be j(o). Is a >= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/22617?\nAnswer: 2\/22617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1668709, 3337664, 5006629, 6675610, 8344613, 10013644, 11682709, 13351814?\nAnswer: 15020965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-2*(-9)\/12). Suppose -6 = r - 2*p + 3*p, p = 2*r + n. Let m(w) be the third derivative of -w**5\/60 - w**4\/6 + 7*w**3\/6 - w**2. Calculate m(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 1. Suppose 0 = -3*d + 5*x + 7, 0 = 4*d - 0*x - 5*x - 1. Suppose 411*f - 32 = 427*f. Let c(b) = -b**2 + 3. Determine d*y(v) + f*c(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-6) + (-2079)\/81.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c + 8c?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17880 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 less than -81.22162?\nAnswer: -78.12162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 0 - 8 = -5*l, -5*l = o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 12 = -8*d. Which is the smallest value? (a) 0 (b) d (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 2*t, 0 = -2*j - t - 3*t + 8. Let i = j + -2. Suppose -i*q - 56 = -4*w, -w - 36 = -3*w - 3*q. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*h**2 - 105*h - 108460.\nAnswer: 5*(h - 68)*(5*h + 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4379 and 330600?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34808 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 18*r + 67. Let q(h) = -186*h - 669. Let j(c) = -2*q(c) - 21*y(c). What is j(-24)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/7)\/(13*19\/1729).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4562 is divided by 379.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 147698*m. Let x(t) = t**2. Determine x(p(c)).\nAnswer: 21814699204*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11798 + 16816. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*z + 57, 4*z - 88 + 16 = -4*f. Solve u = -l - 3*u + f, 3*l + 2*u = 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3031 + 5.\nAnswer: -3026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42660 is divided by 724?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -2152714.\nAnswer: -182980690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/12 - d**3\/2 + 7*d**2\/2 - 476*d. What is a(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.84098 + 3552005.\nAnswer: 3551915.15902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.82 + -0.18. Let l be (-169)\/(-26) + 2\/4. Let g be 4\/(-3) - (6 - l). Which is the second smallest value? (a) w (b) g (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 184926688*g + 216741992 wrt g.\nAnswer: 184926688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -879 (base 16) in base 4?\nAnswer: -201321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67916587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 1 + 9. Suppose -5 = -3*k + x. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - k - 4, -4*p + 5*k + 11 + 2 = 0. Let i(a) = -3*a**3 + p*a**2 + 6*a**3 + 9 - 2*a - 4*a**3. Determine i(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302\/8 + (-3)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 2 = 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 1. Let v = -10003 + 10000. What is w(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -173*n**5 + 25*n**3 - 7435*n?\nAnswer: -3460*n**3 + 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = t - 3*t, 0 = 3*t + 4*g + 2. Let l(b) = -1 - 1 - b**2 + 2*b**t. Let p(c) = -c**2. Let n(h) = 10*h + 33. Let a be n(-3). Determine a*p(q) + l(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*y - 94 + 94.\nAnswer: 805*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 2*q**2 + q + 5. Let z be c(-2). Let w(n) = n**3 - n**2 - 4*n - 4. Let f be w(z). Solve -f*v + 28 = 5*b, -v + 16 = -b + 4*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**3 + 4*c**2 + 14*c - 21. Let m(h) = 3*h**3 - h**2 - 5*h + 7. Let a(b) = -2*k(b) - 7*m(b). Let o be a(-6). Let z = o + -87. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 75*n**2 - 1083*n - 7. Determine l(-54).\nAnswer: -2761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -5*d**3\/3 - 2. Let m(r) = 3*r**2. Give m(i(y)).\nAnswer: 75*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1227.7262 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(-15))\/(2\/(-624)). Suppose -618 - r = -2*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-63)\/35)\/(6\/(-20)). Let y be (-2)\/4 + 483\/6. Suppose 46 + y = j*n. Is 20 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-7 + 18)) + -29 + (11 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a1 - -50b6?\nAnswer: 5157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 129 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/980 and -117\/29498.\nAnswer: 294980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 9*p**2 + 6*p + 16. Let m be h(8). Solve m = -v - 1 - 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-45)*(-2)\/266*-21?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {z: 11, k: 2, d: 6}.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52\/9 + 6*q - 2\/9*q**2.\nAnswer: -2*(q - 26)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 o when three letters picked without replacement from ouuooouooooouuooou.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 18*h - 25. Suppose 4*k + h*u - 750 = 0, 0 = 3*k - 0*u + 2*u - 566. Suppose t + t = k. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 364?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.745164ml?\nAnswer: 0.008745164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -21. Let o = 5 + -1. Sort j, o, -5 in increasing order.\nAnswer: -5, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -23.6. Which is the third smallest value? (a) 2\/9 (b) 5 (c) w (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, -3\/32, -5, -45\/8, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 29 = -5*o + 6, -o - 2*k = 4. Suppose -10*i + o*i = 16. Put 12, -5, i in decreasing order.\nAnswer: 12, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w**2 + 4*w. Let v be a(3). Suppose v*l = -6 + 3. Put 4, l, 1 in descending order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 308 and -752871?\nAnswer: -231884268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/(-1302)*(-5 + -10 - 15)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 191 - j**2 - 392*j**4 + 258*j**4 + 22 + j**2 wrt j?\nAnswer: -536*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k - 2. Let q be (-10)\/(-6) + (-4)\/6. Let n be (q\/3)\/((-1)\/9). What is the units digit of w(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 210. Suppose 18*g - 33 = -5*d + 22*g, -5*g = q*d - 10. Which is the biggest value? (a) d (b) 2\/11 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5286 - -48704. List the prime factors of u.\nAnswer: 2, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j + 10. Suppose 0 = -5*b - j*s + 45, 2*b + 2*s = b + 6. Let f(x) = 31 - 31 - b*x**2. Let n(c) = -2*c. Determine f(n(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 6 = -9. Let v be (2*-3)\/(-3) - w. Solve -v*h + 0 = 5, -2*h + 3 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 8. Let x be 14\/(-3)*1206\/h. Is 17 a factor of (x\/(-21))\/(1\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/18 - (-214)\/12. Let w be (-320)\/(-18) + 4\/a. Suppose 4*n + w = 2*u, u + 5*n - 9 = -35. Is -4\/7 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1502, 7770, 18218, 32846?\n\"Answer: 2090*d**2 - 2*d - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 2*d + 78. Let z be 1628\/111 + (-4)\/d. Solve 16*q = z*q + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 22*j - 2*j)*(17 - 18 - 82).\nAnswer: -1162*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -18*f**4\/5 + 68*f**3\/5 - 38*f**2\/5 - 12*f\/5 = 0.\nAnswer: -2\/9, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10846952\/95 greater than -114179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**(1\/4)\/q)\/(q**(-2\/9)*q)**(-14) assuming q is positive.\nAnswer: q**(329\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 3 + 4*i + 2*i.\nAnswer: 11*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -2763, -4751, -6741?\nAnswer: -8733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 313, 562, 811, 1060, 1309, 1558?\n\"Answer: 249*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28 + -2 + (-20)\/28\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**4\/4 + 4*i**3 + 11*i**2\/2 + 8*i - 32. Let q be h(-11). Solve 5*o - q = 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 5, -1.4, 30?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19504.34 - 20193. What is t rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = p + 3*n, 0 = 4*p + 19*n - 16*n - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 829172 - 15.\nAnswer: 829157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1210 - 1217. Let l = -0.86 - -1.86. What is the nearest to l in b, -1, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 12) to base 5.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - x**2 - 3*x**2)*(17*x - 2854 + 2863 - 6*x + (3*x + x - 2*x)*(-4 + 3 + 4)).\nAnswer: -17*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - (-70)\/21. Suppose -14*l + z - 60 = 0. Let d be (-1 + (-6231)\/9)*105\/l. What is d rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/(-9))\/(16\/1458784)*(-18)\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96636819 to the power of 1\/2, to the nearest integer?\nAnswer: 9830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/19 and 7220 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:13 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 2:39 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 15965. Let f(h) = 42*h. Give t(f(s)).\nAnswer: -5292*s**2 - 15965","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(-109*g + 22903 - 22903) + (-2*g - 2*g + 6*g)*(1 - 2 + 3 + (-3 - 5 + 3)*(-3 + 1 + 0)) to t + o*g and give o.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-46)\/(-161) + 17\/14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -163*y**2 + 5*y + 2. Let c be w(-6). Let p = c - -64810\/11. Find the common denominator of p and ((-10)\/45)\/((-4)\/(-62)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2007?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 + 0*x**2)*(3*x + x**2 - 2*x - 4*x**3 + 2*x**3).\nAnswer: -6*x**5 + 3*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 167738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nod when three letters picked without replacement from ddonoddonddadndoooon?\nAnswer: 28\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 bigger than 1144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - x - 5 = -7*i, -4*i = -4*x - 20. Let q be (i + (1 - 1))*-1. Which is the third biggest value? (a) 3\/5 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**2 + 422*g - 422*g.\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171971.8 millennia to decades.\nAnswer: 17197180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 2*u**4 + u**3 + u**4 + u**2 - u**2 + (-1 - 2*u**2 + 1)*(-2*u - 2*u**2 + 2*u) - 7*u + 7*u - 3*u**4 - 5*u**4 - u + 3*u**4 + 4*u**4.\nAnswer: 6*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**12\/t*t**(-3\/2)*(t\/(t\/(t*(t**3\/t)\/t)*t)*t)**(-1\/5) assuming t is positive.\nAnswer: t**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.13 + 0.07. Let d be (1 + 30\/(-34))\/(-1). Let p = -0.3 + -3.7. Which is the nearest to 0? (a) p (b) y (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 14801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s = -4*p + 12, 5*s + 5*p = -10. Let v be (-8 - s) + 100\/22. Is 1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51980103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -881862*u**4 + 519117 wrt u?\nAnswer: -3527448*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14535, -59152, -133525, -237654, -371539, -535180, -728577?\n\"Answer: -14878*b**2 + 17*b + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -57, -55, -53?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/3 (b) -135 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 542248 + -1159248. Round n to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4 + sqrt(6)\/(sqrt(18) - sqrt(2)))**2 + ((sqrt(48) - sqrt(96)\/sqrt(2))*-2)**2)*-5*-1.\nAnswer: -20*sqrt(3) + 327\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*h - 25 = 0, 2*h - 4*h = -5*o + 25. Suppose -2*a - 6 = -o*a. Solve 4*r - 10 = a, -4*r + 14 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2 - 1 + 8 + 501428*c - 1. Let g be l(7). Round g to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a0c (base 15) in base 11?\nAnswer: 4265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(150)\/(sqrt(3)*-2))\/(1*sqrt(1210) - (-1*sqrt(1000) - sqrt(10))).\nAnswer: -sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 19*w**3 + 6*w**3 - 3*w + 4*w + w**2 to the form o + t*w + l*w**2 + f*w**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.33 - 1.43. Which is the second biggest value? (a) 0.04 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x\/(x\/x**(-3\/2)*x*x)))\/(x**(-3\/11)\/x*x*x\/((x*x*x\/(x*(x*x*x\/(x\/x**(-2)))\/x*x))\/x)) assuming x is positive.\nAnswer: x**(-5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6123588 decades in millennia?\nAnswer: 0.006123588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 4. Let y be u(-9). Let m = 4 - y. Let p = 38 - m. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 10:42 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.44 - -36. Let a = 0.56 - y. Do -2 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3398 + -2191. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 127\/3. Let i(p) = p**3 - 5*p**2 - 8*p + 11. Let l be i(6). Let h = 6.58 + -6.08. Which is the nearest to 1? (a) f (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 646 (b) -2\/7 (c) 1416\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -301003 (base 9) in base 6?\nAnswer: -3451303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 6652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - a**3 + (-a + 4*a - 5*a)*(-2 - 3*a**2 + 2) + (-6 - 1 + 4)*(-8 + 4*a + 8)*(a**2 + 0*a**2 - 2*a**2).\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 25*g + 24. Let q be u(-24). Put -1, 27, -5, q in descending order.\nAnswer: 27, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (2*(sqrt(18) - (sqrt(198)\/(sqrt(11) - sqrt(11)*3) + sqrt(18))))\/((1*sqrt(90)*-4)\/sqrt(10)))**2.\nAnswer: -3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8270766, 16541530, 24812294, 33083058, 41353822?\n\"Answer: 8270764*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) 5 (c) 1 (d) -5 (e) 4 (f) -89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191\/3432 + -2\/143. Suppose -14*l + 9*l + 30 = 0, j - 3*l = -19. What is the third smallest value in -2, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 47 - 51 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2. Let l(h) = 1354*h. What is l(p(m))?\nAnswer: -2708*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 168545403077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 2. Let k be -1*6*1 - q. Let x = -585868.3 - -585868. Sort k, x, 0.2, -1\/6 in descending order.\nAnswer: 0.2, -1\/6, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 4 = -4*r. Let x(d) = 2*d + 24. Let v be x(-11). Let f(o) = -r*o + 5*o - v*o - o. Let a(q) = -4*q. Give f(a(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 79656*l + 528756528.\nAnswer: 3*(l - 13276)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 - (-20 + (26 - 21 - -10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 15. Suppose 50 = w*i - i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y - 1033. Let u(q) = -46*q + 9280. Give 19*c(s) + 2*u(s).\nAnswer: 3*s - 1067","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.03 (b) -1\/5 (c) -2\/11 (d) 1 (e) -5 (f) -0.5 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5641830 divided by -6\nAnswer: -940305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.77 + -0.23. Let j = -10.1 - y. Let k = 3.106 + -3.006. Which is the third biggest value? (a) j (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1711.97982 - -1712. Round m to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -0.2. Let m(n) = -9*n - 22. Let o be m(-3). Sort -2\/25, -4, o, d in decreasing order.\nAnswer: o, d, -2\/25, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c - -1?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*b**2 - 2 - 204*b**2 + 2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106240 rounded to the nearest one thousand?\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 14*q - 25 = -3*z - 0*q, -53 = 3*z + 5*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 66*y**2 - 1031*y + 820. Calculate v(42).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99680000 rounded to the nearest one million?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -448. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 + 99*m**2\/2 + 216*m + 222.\nAnswer: -3*(m - 37)*(m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 3325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/4*18\/(-3). Let o be -6*(f\/6 - -3). Suppose 4*c + c = o. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -z - 1959, w - 3*z = 138 + 523. What is the third derivative of -105*y**2 - 2 + w*y**3 - 622*y**3 - y**5 + 2 wrt y?\nAnswer: -60*y**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -453 + 501. What is the first derivative of 61*o - 68 - 48*o + j*o wrt o?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (sqrt(147) - -2*sqrt(147)*2).\nAnswer: 4 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:17 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 42234853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/92 (b) -9961 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 6\/11, 4.\nAnswer: -2\/3, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2887 + 2887. Which is the closest to 5? (a) -5 (b) 4\/9 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6700*d*f*w - d*f + 11*d*w + 987*d + 2*f*w - 2*w wrt f?\nAnswer: -6700*d*w - d + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 64*a**2 - 199*a + 17. Determine o(67).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/9))**(-22)\/((l\/(l\/l**(2\/3)*l*l)*l)\/((l*l\/l**(1\/11))\/l)))**(3\/40) assuming l is positive.\nAnswer: l**(607\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9414876m?\nAnswer: 941.4876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.8135 + 25.924041. What is f rounded to three dps?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 8*h - 30.\nAnswer: 2*(h - 3)*(h + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhehnhne. What is prob of sequence eh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**3 + 7*u**2 - 16. Suppose 0 = -4*b - 51 - 257. Let l be 28\/b - (-295)\/55. Let k = -4 + -3. Let r(y) = 4*y**3 + 5*y**2 - 11. Give k*r(q) + l*j(q).\nAnswer: 2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 3:47 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -307317 and -873.11.\nAnswer: -308190.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(1 + sqrt(605)) - sqrt(605)))**2*-4.\nAnswer: -2180500 - 66000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(160)*-1)\/sqrt(4))\/(sqrt(80)\/(sqrt(40)\/sqrt(100))).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 28385*t**2 - 40271215*t + 40299605.\nAnswer: -5*(t - 1)*(t + 2839)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and -943 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.4 (c) 2\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6820 + -3294. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/290 and -56\/3?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 436, 851, 1268, 1687?\n\"Answer: u**2 + 412*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 69, 1\/7, -1\/7, 2\/15?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6)*3*2. Let s be (-2 + n)\/((-1)\/2). Let l(m) = -10*m. Does 10 divide l(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -21, 3, -19 in descending order.\nAnswer: 3, -1, -4, -19, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 9 (c) -0.42 (d) -7.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125230447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2*r**3 + 5*r**3)*(2*r - 5*r + r) - 5*r**4 + r**4 + r**4 + (-6 - r + 6)*(-9*r**3 - 2*r**3 + 6*r**3) - r**4 + r**4 + r**4.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 5283780?\nAnswer: 5283787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 + 10*v + 9. Let c be n(-6). What is the common denominator of 116\/6*c\/28 and ((-20)\/16)\/((-7)\/(-44))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/75)\/(-10*(-16)\/200)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(-1 + sqrt(7)) + (sqrt(56)\/sqrt(4))\/sqrt(2) + (sqrt(7) - (sqrt(7) - -6*sqrt(35)\/sqrt(5))))**2.\nAnswer: -600*sqrt(7) + 1975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 125247514 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -134. Which is greater: -58 or j?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347 - -354. Suppose s*c + 336 = 322. Sort 3, c, 0 in increasing order.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683556874.\nAnswer: 2, 523, 1609519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 56, 131, 236, 371?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 109 - 105 - 105*i**4 + 28*i**4 wrt i?\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2338 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from fpip.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -2)*35\/(-20). Suppose 41 + 1 = -3*k. Let t = k - -20. Which is bigger: t or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244326 divided by 27.\nAnswer: -81442\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7714394 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/24552 and 23\/98208.\nAnswer: 98208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*v**3 - 57*v**3 - 63*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -25*y**6\/6 + 28*y**3\/3 - 35. Find the third derivative of n(s) wrt s.\nAnswer: -1500*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 399066 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 113199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/31))**(-10) assuming k is positive.\nAnswer: k**(20\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/(-4) + 3\/4. Let c = s + 2. Let l(y) = -y**2 + 9*y + 7. Is l(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*w**3 - 3\/2*w**2 + 0*w + 3\/2*w**4 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*g = 3*g - 445, 0 = 2*a + 2*g + 270. Let k be 7\/a + 2\/8. Sort k, 4, 3.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4778 + 1072 = 47*x - 17*x. Calculate the greatest common factor of x and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 2 i when four letters picked without replacement from {o: 1, i: 1, p: 1, d: 3, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 6*b + 5. Suppose -55 = -9*q + 44. Let i(u) = -q - 5*u - 4*u**2 + 18*u - 5*u**2 + 0*u**2. Determine 6*i(n) + 13*s(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32701.\nAnswer: 53, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5231, -5227, -5223?\nAnswer: -5219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 125. Let z be m(-64). Solve -z = -20*a + 17*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 317177*p**2*v + p**2 - 155*p + 601 wrt v?\nAnswer: 317177*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43961672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5752 + 5*s**2 + 133*s**3 - 3*s**2 + 5732 - 2*s**2 - s in the form b + w*s**3 + o*s**2 + u*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39772 divided by 326?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -21*y**2 - y - 5. Let q(b) = b**2 + 7*b + 4. Suppose 60*c - 42 = 67*c. Let g be q(c). Let m(o) = -4*o**2 - 1. Calculate g*a(n) + 11*m(n).\nAnswer: -2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -310 + -53436524?\nAnswer: -53440134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.3*-0.2.\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -11712*j + 3899*j + 74 + 3907*j + 3890*j. Calculate x(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isi when three letters picked without replacement from sissssssssssssiiis?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 221834325 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20609, -20606, -20603, -20600?\nAnswer: -20597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 43*j**2 - 6*j - 2. Let u be q(1). Solve y + 36 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11430 - 11?\nAnswer: 11414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-2 + 5 + -6 + -8) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*t**3 + 200 - 200)*(2*t - 3 + 3).\nAnswer: 76*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 26 = -6*w + 10*w, 5*r - 3*w = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - 4*sqrt(192) - sqrt(192) - sqrt(192))\/sqrt(8))\/((sqrt(96) + sqrt(24))\/sqrt(3)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -251, -2\/43, 2\/7, -0.5, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12636 = 49*r - 13028 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-4)\/10*27\/(-6). What is the third smallest value in 3\/7, y, 2.8, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 + 147. Is 14 a factor of (560\/(-15))\/((-1)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)*v*v)\/v**5*(v**(1\/4))**(-2\/13)*v**3\/v**(1\/6)*(v*v**(-1))**(-2\/5) assuming v is positive.\nAnswer: v**(85\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*9346\nAnswer: 9346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s = 14681 + 51819. Round s to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t + 589*t = -6182 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.63, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 25 + 74 = -11. Let m(l) = -5 - l**2 - 4 - 1 + 11*l. Calculate m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j - g, 0*j + 18 = 4*j - g. Calculate the least common multiple of j and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33245761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -8 + 8 + (-26 - -2) + 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0+4808277311\nAnswer: 4808277311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43988610, -43988611, -43988612?\n\"Answer: -g - 43988609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 365.5 from -96154938.\nAnswer: -96155303.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 101264, 101276, 101302, 101348, 101420, 101524?\n\"Answer: v**3 + v**2 + 2*v + 101260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 11*b**2 - 12*b - 19. Let y be h(-10). Which is smaller: y or -1\/336?\nAnswer: -1\/336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -616*r. Let h(q) be the third derivative of q**5\/60 + 2*q**2 + 33. Determine h(y(o)).\nAnswer: 379456*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200112 - -2?\nAnswer: 200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 8*g**2 - g - 5. Let x be o(-8). Let m be (16\/6)\/(x\/9). Let a = m + -5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbwb when four letters picked without replacement from gbbwbbbwbbwgbwbb?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taz when three letters picked without replacement from qqbbqbztbzsa.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/5))**13*(x\/x**3)**(-44))**(-50))**1 assuming x is positive.\nAnswer: x**(-4790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2)*(-22)\/(-154).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146\/6856743 or -1?\nAnswer: 146\/6856743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123866626 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.41 + 1.31. Which is the third smallest value? (a) i (b) -22 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f**2 - 3*f. Give o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-120))\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 625838 - 625838.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1476 - 11.1476. Suppose -j - 3*c - 14 = -3, 5*j - 2 = 4*c. What is the closest to j in 4\/7, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 86. What is the highest common factor of l and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 140140113?\nAnswer: 140140122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + -4)*1*-6. Let j be -1*(n - 1) + -3. Suppose -5*y = -11 - j. Sort 0.02, y, 4 in increasing order.\nAnswer: 0.02, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31829*v*y + v + 4406*y + 3 wrt v?\nAnswer: 31829*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1227, -2457, -3689, -4923, -6159?\nAnswer: -7397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1493 divide 530376306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 38*x - x)*(3 - 5 + 4).\nAnswer: -84*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x*x**(3\/4)*x)*(x\/((x\/x**(-1\/4))\/x))**(-2\/109) assuming x is positive.\nAnswer: x**(1411\/436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -484.92 - -487. Let t = h + -2.48. Is t != 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 24*q + 47*q + 2 + 70*q as c + x*q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**4 + 231*y**3 + 127*y**2 - 4*y + 1 wrt y.\nAnswer: 72*y + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758126.\nAnswer: 2, 23, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 0*m - 14 = 4*q, 4*m = -q - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -2. Let n(v) be the first derivative of v**4\/4 - 16*v**3\/3 - v**2\/2 + 18*v + 4. Let l be n(16). Sort -3, l, d in decreasing order.\nAnswer: l, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sevenths of a week in hours?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h - 18. Let g be a(-6). Suppose 58 = 2*u - 3*c, 3*u - 2*c - 7 = 70. Solve g = -3*d - 4*j - u, 3*j = 3*d - j - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70048 (base 10) to base 6\nAnswer: 1300144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a37 + 5280?\nAnswer: 13207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*v + 9 - 3 - 6.\nAnswer: -92*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -4) + -12 + -25 + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676492 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12927523 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8260 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 113468322 to the power of 1\/2, to the nearest integer?\nAnswer: 10652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 7:24 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 4, -11\/300, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/65)\/((-8)\/(-10))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 391*g + 158*g - 364*g - 1 in the form k*g + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 10 + 26)*(-3 + 3*w + 3) as v*w + f and give v.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 13*j + 0 - 7*j to the form m*j + w and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 4. Let h be c(3). Suppose 5*l - h*l = 12. What is the second derivative of 2*m**4 + m**4 + m**4 - m**l + 3*m wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-552)\/4)\/(-3 + 2). Suppose -q = -6*u + 3*u. Suppose -u = -2*g - 2. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5 - 2. Suppose -k = 14 - 20. Find the second derivative of 6*q - 2*q**4 + k*q**4 - f*q**4 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10 = 3*a - 3, -4 = 4*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (-12 - 24) + (3 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 513 + 361 = 23*h. Calculate the lowest common multiple of h and 11.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201230?\nAnswer: 2, 5, 220123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:47 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j - 6. Let v(g) = -5*g - 5. Calculate -3*p(x) + 4*v(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 1154, -20 in decreasing order.\nAnswer: 1154, -20, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 + 3*m**2 + m - 1. Let u(g) = 159*g**3 - 1756*g**2 - g + 1. Let l(v) = -s(v) - u(v). What is the third derivative of l(x) wrt x?\nAnswer: -918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = g - q, 5*q - 17 = 3*g. Which is the second smallest value? (a) 5 (b) g (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461194205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 273, 28, 1, -0.1 in descending order.\nAnswer: 273, 28, 1, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 32. Let t = s + 56. Let z be 14\/t + (-3)\/(-5). Which is the third biggest value? (a) -2\/15 (b) 0.02 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 211415 or 211414?\nAnswer: 211415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(6)\/sqrt(3))**2*-6.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2930 and 5800130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 11. What is the closest to x in -4, 0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 4*k. Let p(d) = -d**2 - d. Let m(s) = -4*s**2 - 9*s - 1. Let j(q) = m(q) - 5*p(q). Let g be j(3). Let u be t(g). Solve u*l - l - 3 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/6 - 27\/9. Which is the third smallest value? (a) w (b) 1 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:08 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 7, d: 4, k: 1, a: 1}. What is prob of picking 1 d and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -491134 by -777.\nAnswer: 70162\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 16*q**3 + 9 - 6*q**2 + 3*q**2 to x*q**3 + d*q**2 + h*q + t and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -25 - 2*f**2 + 0*f - 1\/3*f**3. Determine z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykykekkeefyykeefe. What is prob of sequence fey?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17397 and 63789?\nAnswer: 191367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 33*k + 8. Let j be b(-2). Suppose 10 + 60 = 5*r. Let q be j\/(-12) + (-1 - r\/(-12)). Solve -c = -2*x + 9, 3*c + q - 3 = x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/126*((-2)\/15 + 64\/30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40889 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/2*20550\/4932.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 21. Let t be g(-7). Which is smaller: t or 5\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - 4*y. Let l be j(2). Suppose 8*n - l = 184. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 1650 - 88. Is 132 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05 and -5.45742.\nAnswer: -5.50742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 88\/11 + 100\/(-4). What is the biggest value in -1\/3, i, -1\/4, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28026068 and 84078204.\nAnswer: 84078204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**2*r**3 + 4*k**2*r**2*u - 4*k**2*r*u + 2*k**2*u - 4*k*r**3 + r**3*u - 37*r**3 - 5*r*u wrt r?\nAnswer: 24*k**2 - 24*k + 6*u - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**5\/5 - 14*j**2 - 54. Find the second derivative of u(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*z + 120*z + 120*z - 1 + 122*z + 0 - 464*z.\nAnswer: 20*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 217. Let c = -102 + f. Is c\/(-3) - ((-62440)\/(-24))\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*i = 21, 5*t - 6 = -4*i + 27. Let g(s) be the third derivative of 1\/24*s**4 + 0*s + s**2 + 0 - s**3. Determine g(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -15082653\nAnswer: 30165306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8016494*o + 4*o**2 - 8016494*o + 23 to i + a*o**2 + p*o and give i.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1674?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2308*f**2*i + 3*f*i + 15*f - 7*i wrt f?\nAnswer: -4616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.098, 0.5, 18, -5, -20?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030660 (base 7) in base 10?\nAnswer: -125188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 421, 1151, 2567, 4897, 8369, 13211, 19651?\nAnswer: 27917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-6))\/(1\/26). Let l = 48 - 28. Suppose 5*z - l = i. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 0*v - 3. Let m be ((-46)\/(-4))\/(v\/(-4)). Suppose 4*k + q = 152, -2*k - 5*q + m = -48. Calculate the remainder when k is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/11 + 15058*z**3\/11 - 1742154*z**2\/11 + 3439126*z\/11 - 1712032\/11 = 0. Calculate z.\nAnswer: -7643, 1, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Suppose x*i = -2*t + 53, 2*t + 0*t - 41 = i. Suppose 7*n = 6 + t. Solve -2*z - z = -2*f + 5, -n*z - f + 8 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4221 (base 10) to base 12.\nAnswer: -2539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, -6\/7, 2\/15, 4\/7 in increasing order.\nAnswer: -178, -6\/7, 2\/15, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 7*v - 5*v**2 + 3*v**2 + 3*v**2 + 2*v**2 - 7*v**2 + (5 - 5 - 4*v)*(3*v + 4*v - 5*v).\nAnswer: -12*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 2926, 6952, 12588?\nAnswer: 19834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*h**3 - 221*h**4 + 98*h**3)*(1 - 5 + 2 + 1 - 5 + 3 + (4 + 3 - 6)*(1 + 1 - 4) + 1 + 2 + 0 + (0 + 2 - 3)*(-2 + 2 + 2) + 3 - 2 - 2).\nAnswer: 1105*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by ((-5)\/3)\/(28\/(-252))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*c*g**3 - 4*c*g**2 - 8880663*c*g - g**3 + 280*g**2 wrt g?\nAnswer: -936*c*g - 8*c - 6*g + 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -266, -267?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -19. What is the biggest value in x, -0.08, -4\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(8) + -1) + (2 + (sqrt(18) - (sqrt(18) + 1)))**2 + -5.\nAnswer: -10 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 2467 - 282. Let r = a - 33. Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13215 + 15744. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 15*x**2 + 12*x + 31. List the prime factors of k(12).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 518 + -518.5. What is the second smallest value in 4, -21\/4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 10*r - 13*r + 3*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 4*w. Let t be a(-3). Is 333\/(-6)*(-2)\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0 - 2*i + 0*i**2 + 1\/6*i**4 - 2\/3*i**3. Suppose q(v) = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42\/65 - 4\/5. Let a = 19 - 19. Is z > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -788998*d + 4183397?\nAnswer: -788998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*((sqrt(147) + sqrt(147) + -2 - sqrt(147)) + -3) + (sqrt(147) + (sqrt(147) - 1*sqrt(147)) + 3)*6)*-6)**2 + 4.\nAnswer: 18144*sqrt(3) + 429232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/72 and 61\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 789, 3122, 7001, 12420, 19373, 27854, 37857, 49376?\nAnswer: 62405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 19\/24*t**4 + 0*t**3 + 0 + 0*t**5 + 0*t**6 - 1\/15*t**7 + 0*t + 9*t**2. What is the second derivative of a(d) wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + -11.7. Let z = 21 + x. Let p = z + -3. Which is the third biggest value? (a) 2 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 7*d + 24*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c - f - 4 = 0, 4*f = -2*c - 16. Solve -3*l**2 + 15 + c - 1 - 2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 5, -244, -29.61, 2, 2\/11, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, a: 5}. Give prob of sequence aaff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 5 (c) -3 (d) -0.153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6be7d (base 15) to base 11.\nAnswer: 215618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.1114 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6. Let c be 2 + 99\/(-51) - 6608\/(-952). Let a(p) = p + 5. Calculate c*a(l) + 6*w(l).\nAnswer: 7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -737.\nAnswer: -2\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 16*t - 6. Let q(k) = -3*k**2 + 32*k - 13. Let w(j) = -5*o(j) + 3*q(j). Let s be w(-12). Let y be (169\/s*-1 + -3)*1. Does y = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 + 14*n + 12. Suppose -t - 6*t = 0. Suppose 0 = 5*q - t*q + 2*a - 69, 0 = q + 5*a - 23. Is 6 a factor of k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let y be (-22610)\/126 + (-6)\/27. Let w = -179 - y. What is the fourth smallest value in k, 1\/7, -2, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(245)*-2)**2.\nAnswer: 15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 211450.8 millennia in decades?\nAnswer: 21145080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131 - 56. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 68 + -1 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1758 - 1636. What is the remainder when b is divided by 95?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-11)\/((-3718)\/1365))*12?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 13 - 128*d + 5 to i + m*d and give m.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230 and 160586.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36, -76, -116, -156?\n\"Answer: -40*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) 2\/2681 (c) -1 (d) -0.016 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 692*l + 2378. Let i be d(-3). Solve i*m - 56 = 294*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -483, 390, 2739, 7296, 14793, 25962?\nAnswer: 41535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*w = -78, -20 + 15 = -w. Which is the closest to -0.2? (a) 2\/7 (b) x (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -910 + 214623. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1167149 take away -8653998.4?\nAnswer: 7486849.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 25*i**2 - 78*i + 1. Give j(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(-1)*81\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/24 + (-155)\/(-3). Let u = s + -19. Let k = u - 22. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1110 + 7199*h**2 + 1114 + 1881*h**2 - 2224 to u*h**2 + i*h + o and give u.\nAnswer: 9080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 80*x**4 + 164*x**3 + 2*x**2 - 163*x - 82.\nAnswer: -(x - 82)*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55997.\nAnswer: 55997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(60)\/(-1*sqrt(10))) + (sqrt(30)\/((sqrt(726) - (sqrt(726) + -1*sqrt(726))) + sqrt(726)))**2)*6.\nAnswer: -6*sqrt(5) + 15\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 16728612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1159 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 r when three letters picked without replacement from rqrdnd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1155\/12)\/(-11) + (-50 - -59). Factor -d*q**3 + 1\/2*q**2 + 0 - 1\/2*q**4 + 1\/4*q**5 + 0*q.\nAnswer: q**2*(q - 2)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9\/104 + 613\/4680. Let w be (-9 - -6) + (-6)\/(-2). Which is smaller: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 34 = -3*k - 2*o, -2*k - 78 = 2*o. Let f = k - -47. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((1\/(-1))\/(6\/18))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -6 + -1 + 2 + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 - q - 5. Let z be n(-4). Let r(h) be the first derivative of h**2\/2 - h + 18. Let i(b) = b**3 - 5*b + 5. What is z*i(t) - 5*r(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3 + sqrt(1088) + 2) + 1*1*(4*sqrt(1088) + sqrt(1088)) + 0)*6)**2.\nAnswer: -17280*sqrt(17) + 164772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 42 + 1)*(-a**2 + 0 + 0)*(0*a - a + 0*a).\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17388 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 388*c**2.\nAnswer: c**2*(c + 1164)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/520 + (-3)\/12. Let d = -145 + 132. Let z(p) = -3*p - 38. Let q be z(d). Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32 + 15 + 10)*(1 + t - 2*t - 4 + (0 + 0 + 3)*(-3 + 3 - 10*t)) + t + t - 7*t in the form z + j*t and give j.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15710*j**2 + 105. Let h(x) = -924*x**2 - 6. What is 35*h(m) + 2*q(m)?\nAnswer: -920*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161*t - 28*t + 12*t)*(-4*t + 0 + 0)*(-2 - 4 + 4) to the form b + g*t + n*t**2 and give n.\nAnswer: 1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/20*(-40)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-32))**46 assuming t is positive.\nAnswer: t**(-1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -35*v**2 - 7*v + 57. Let k(h) = 22*h**2 + 5*h - 38. Let d(l) = 8*k(l) + 5*z(l). Give d(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/((-244720)\/69))\/(-1*5\/20).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12914, 12776, 12642, 12512, 12386, 12264, 12146?\n\"Answer: 2*d**2 - 144*d + 13056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17122028.9 rounded to the nearest one hundred thousand?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 5*z + 6. What is t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 g when three letters picked without replacement from ttttttttgtttttgtttt?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3 = 23. Let g(a) = -8*a**2 + 9*a**2 + 7*a - 2*a + w. Give g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 9*k - 5. What is g(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.03, 3, -4, -0.2, -1555\/11, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 3, -3, 1.\nAnswer: -3, 1, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**7\/630 + 29*i**3\/3 - i - 46. Let q(v) be the second derivative of x(v). Suppose q(f) = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78740159 is divided by 960.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*a = -2, 1 + 10 = -2*p + 3*a. Suppose z = -d + 420, p*z + 3*z - 5*d - 2080 = 0. Calculate the highest common divisor of 44 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, e: 3}. Give prob of sequence memm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-2))\/(2144\/1206))\/(-3)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 - 9*o + 2. Let y(q) = -10*q**2 - 46*q + 11. Let t be -6 - 1 - 50\/(-10). Determine t*y(d) + 11*r(d).\nAnswer: -2*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 761441.6ml to litres.\nAnswer: 761.4416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2. Suppose 3*c + x + 4*x - 14 = 0, 4*c + 4*x = 16. Let g(k) be the third derivative of -5\/8*k**4 + 0 + 0*k**c + 0*k - 3*k**2. Determine f(g(p)).\nAnswer: 450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -13 - 7, 3*o = c + 43. Suppose 4 = o*j - 12*j. What is t in -10 - 2*t**2 - j*t + 2*t**4 - 2*t**5 + 6*t**3 + 8 + 2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/3*18\/12. What is the greatest common divisor of b and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18370 + -238668\/13. Solve -50\/13*v**4 - u*v**2 + 24\/13 + 32\/13*v - 200\/13*v**3 = 0.\nAnswer: -3, -1, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(10*x**2 - 74 + 75 - 2*x**2) + 0*x**2 + 5*x**2 - 3*x**2 to the form z*x + n*x**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7019 is divided by 1705?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + s + 33. Let g be b(0). Suppose -48*r + 52*r - 160 = 0. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -123 in -3, -2\/11, -0.08, 5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:44 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1090405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4845 + 4814. Which is smaller: y or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 20 = r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n + 2*n**2 - n - 3*n**2 + 10. Is f(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/70 + (24\/20)\/(-3). Solve 0 + s*k**3 - 2\/7*k**4 + 0*k - 2\/7*k**2 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -3*x - 3*p = 0, -x - 2 = -2*x + p. What is the remainder when d is divided by (x\/1)\/(7 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 124?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 3. Let p be k(6). What is the second derivative of -p*f + 2*f**4 + 3*f**3 - 3*f**3 - f wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780981 is divided by 148415.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*u**2 - 53*u**2 + 94*u**2)*(7*u**2 + 5*u**2 - 4*u**2).\nAnswer: 672*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -104688\nAnswer: 1\/52344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 150 - 13)*(-8*w - 3*w + 69*w) to the form f + q*w and give q.\nAnswer: -9860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/42)\/9)\/(6\/(-14))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6840*u**3 - 3507*u**3 - 3336*u**3 + 13*u.\nAnswer: -3*u**3 + 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 0*p - 3*p - 3*p)*(-5*p + 12*p - 3*p)*(1 - 1 - 2) to x*p**2 + z*p + r and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4370469*o**2 + 4721597 with respect to o.\nAnswer: -8740938*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(-23)*117888\/921?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*z - 26, 5*g + 6 = -5*z + 41. Suppose g = 5*o - 5. Solve -5*q - r = -o*r - 10, 3*q = 3*r + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 51*x - 321. Let k be r(-43). Suppose 2*b = 5*a + 311 + 210, 2*b + a - 503 = 0. What is the highest common divisor of k and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -13*u**2 - 36*u - 37. Let w = -28 - -42. Let d(n) = -12 - 3*n**2 - 12*n - 2*n**2 + n**2. Let g(o) = w*d(o) - 4*v(o). Let g(s) = 0. Calculate s.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79885 + -55469. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsb when three letters picked without replacement from xxxxsxssbxxsxxxsx?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/63)\/((-2)\/(-3))*-12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/2*(1 + 1) + 1. Let j = u + -15. What is the tens digit of 2*(83\/(-2))\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 - 108365*c**3 + 541735*c**2 - 758395*c + 325020 = 0. What is c?\nAnswer: 1, 3, 21668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.71236 to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/((-56)\/63*-3)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r + 17. Let y(g) = 3*g + 4. Suppose 126 = 6*m - 8*m + 5*o, 2*m + 4*o + 162 = 0. Let i = 75 + m. Determine i*l(j) - 9*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204852139*m**3 + 575271*m + 140 wrt m.\nAnswer: 1229112834*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4421 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4150 + 7132?\nAnswer: 2762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 401 = g, 108 - 507 = -4*b + g. Let r = -42 + b. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let b(h) be the second derivative of h**4\/4 + 34*h. Calculate b(d(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14863*u - 1065*u + 796400 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4065427 is divided by 290386?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 2*z - 2 = 11*r, 4*r + 18 = -3*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 7*l + 18. Let t be 0 - (5 + -3)*l. What is the closest to -0.1 in t, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*g**2 - 2)*(g + 2*g**2 + g - g).\nAnswer: -6*g**4 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + h. Let z be t(0). Suppose 27 = 3*p + 3*u, -4*u - 12 = -4*p - z*u. Solve -p + 2 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 121*s**2 + 3578*s + 344. Determine o(-51).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109958 is divided by 148?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 1323970531.\nAnswer: 1323970531.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:56 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1590 divided by 6\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1954065*m - 1 - 2 - 977039*m - 977061*m.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4 + l**3\/3 - 9*l - 6. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/28834729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2063082 + -1043082. What is v rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10808946 divided by 1200994.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2428\/65 + 186\/5. What is the closest to u in 0.1, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1 - -2) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = -4*w, 4*w = 2*q + 10 + 2. Solve q*c = -s + 3*c - 17, 4*s = -c - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f + 0*f - 2*f as q + m*f and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 0 - 3 + 2*n**2 - n - 5*n. Let q(b) = 2*b**2 - 7*b - 4. Let a(y) = -3*q(y) + 4*r(y). What is the units digit of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 72 + 31*i**2 - 19*i**2 + 18*i**2 + 37*i + 3*i**3 + 47*i = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147555 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 3*b**2 - 3. What is the tens digit of s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -584 - -586. Let x be ((-14)\/(-6) - v)\/(30\/9450). What is the highest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -72, -88, -120, -174, -256, -372?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37515 + 4?\nAnswer: 37521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 20*c**2 - 21*c + 2. Let w be j(21). Suppose 0 = -3*g + w*g + 39. Calculate the smallest common multiple of g and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-2) - 6)*-2. Let f = -386 - -385.3. Put 0.3, f, k, -2\/3 in ascending order.\nAnswer: k, f, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6349 - 6348.854. Is f at least 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16242, 32473, 48714, 64971, 81250, 97557, 113898?\nAnswer: 130279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r + 54*r = -6. Solve -3*a = 10 + r for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 - 101497.19.\nAnswer: -101455.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13332210 (base 6) in base 11?\nAnswer: -286347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1465 and -10117.\nAnswer: 14821405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 195920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**2 + 98*c - 9. Let n be v(-7). Let o be 96\/10*(11 + -1). Let q = n + o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-12)*z))\/(z\/(z*((z*z**(2\/13))\/z)\/z)))\/(z**(-1)*z**(1\/13)))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 - 38*z**2 + 26*z - 118. Let s(x) = 13*x**3 + 84*x**2 - 52*x + 238. Let i(a) = 5*p(a) + 2*s(a). What is i(21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + 7*s + 5. Suppose -5 - 1 = -2*k. Let b(p) = 1 + p**2 - k*p + 0*p - 3. Let j(u) = -3*u + 32. Let g be j(9). Give g*b(h) + 2*f(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.537784 hours?\nAnswer: 5536022400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d - 18*d - 5*d**2 + 39*d - 17*d. Let h(m) = 29*m. Give z(h(y)).\nAnswer: -4205*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*g - 3877 = 1748 + 4481 - 212 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3358400 is divided by 124385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 6. Calculate the lowest common multiple of m and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:42 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47761 - n - 47761.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/(-9) + 9*993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5\/5 + 2642*b**4 + 13208*b**3\/5 = 0.\nAnswer: -6604, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12 - -18)\/((1 + 1)\/2). Let d(t) be the third derivative of 0*t**3 + t**2 + 0 + 0*t**4 - 1\/90*t**5 + 1\/315*t**7 + 0*t**o + 0*t. Solve d(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/15 - m**5\/5 - m**4\/2 + 4*m - 2. Factor a(l).\nAnswer: 2*l**2*(l - 3)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/14)\/(1131\/2320*20)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 1013*s - 8*s**3 - 1013*s.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*o - 10, -4*z = -5*o + 6 - 17. Suppose 7*g = 2*g - 20. Let a = g - -8. Solve 0 = -z*m - a, -m + 0*m - 13 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 6*k**2 - 5*k - 3. Determine n(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*(20 + -5 + -6 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/225 - 4*o**5\/75 + 4*o**4\/15 - 32*o**3\/45 + 16*o**2\/15 + 10*o. Factor i(s).\nAnswer: 2*(s - 2)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 3, o: 13}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*u + 723*u + 4 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 80*i**4 - 16*i + 30. Let h(y) = -16*y**4 + 3*y - 6. Let r(o) = -11*h(o) - 2*u(o). What is the second derivative of r(n) wrt n?\nAnswer: 192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82738562 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 + 7081*x + 1933. Calculate g(644).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(20\/3)*i**(-5)*i*(i\/i**7)\/i*i)\/(((i*i**(-1)\/i)\/i**(-4))\/(i**5\/(i**(2\/7)*i))) assuming i is positive.\nAnswer: i**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x - 21 - 24 = 0. Calculate the greatest common factor of x and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*b = -73*b - 10. Suppose b*y = 69 - 79. Sort 0.1, 6, y, -3 in decreasing order.\nAnswer: 6, 0.1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29\/2 + 15. Let o = 0.7 - 0.4. Which is smaller: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3 - 7. Suppose -h*c = -2*c + 3. Let v = -4 + 4. Is v > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124743756?\nAnswer: 2, 3, 17, 743, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/13)\/((l*l\/l**12)\/l) assuming l is positive.\nAnswer: l**(142\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.22 - 9.12. Let m = -9 - i. Which is the nearest to m? (a) 3\/4 (b) -2\/11 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28730443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - d = -3*t + 7, 3*t + 3*d = 9. Find the second derivative of -2*z**3 - 2*z - 2*z + t*z wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 4*s + 16*s + 12*s)*(-s + 3 - 3).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 831, 831, 829, 825, 819, 811?\n\"Answer: -i**2 + 3*i + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*y**3 + 30 - 29 + 69*y**3 - y**2 + (y**2 - y**2 + 2*y**2)*(-2*y - 3*y + y).\nAnswer: -6*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-6)\/60)\/(6\/(-6))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 35 = -3*z, -3*z - 10*w + 12*w + 25 = 0. Let n(l) = 257*l**2 - 10*l + 3. Let s be n(-7). Suppose -s = -z*i - 2921. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 18*d**2 - 26*d + 8. Let o be y(16). Suppose 7*k = -k + o. Suppose 0 = -5*x - 3 + k. What is the highest common divisor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnn when four letters picked without replacement from {a: 11, o: 1, w: 2, n: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586.22 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-6\/23)*f)*f)\/(f\/((f\/f**(11\/5))\/f*f))*(f\/(f**(-11\/5)*f))\/(f\/f**(-12)*f) assuming f is positive.\nAnswer: f**(-316\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 381*h + 22945. Determine a(-60).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -106*x - 3. Let n be b(-2). Let z(j) = -4*j - 89. Let t be z(-27). What is the highest common factor of t and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11956802 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1314961 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = -17*d + 2706. Suppose 0 = -4*q, q - 71 = -4*l + 13. What is the remainder when d is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/19)*d)**(-5\/4))**(15\/7) assuming d is positive.\nAnswer: d**(-2775\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*q + 488 + 222 = 0, -4*t + 712 = -2*q. Calculate the remainder when t is divided by 66.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16590 != -116139\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*b = -123*b + 49716585. What is the ten thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 8162182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8536196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 4, 0.1, 0.4, -1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*x + 8, a + 7 = -2*x + 6*x. Let k be (a - 0)\/(3\/6). Suppose 16 = k*h + 12. Solve q + q + 4*r = -4, -2*r = h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 0*d + 36 = 0. Find h, given that -67*h**2 + 263*h**2 + h**d + 616*h**3 - 644*h**3 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -14*h + 162. Calculate y(46).\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:23 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -127 - -10d60a?\nAnswer: 10d4c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(98) - -1*sqrt(98))*-5 + 4) - (6*sqrt(768))\/((sqrt(6) + sqrt(24))*-4).\nAnswer: -12 + 214*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 3911*a**6\/120 + 351*a**5\/10 + a**4\/12 - 792*a**2 + a - 1. What is the third derivative of x(u) wrt u?\nAnswer: 23466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14067 is divided by 201?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*6 + (sqrt(2) + 2 + sqrt(2) + sqrt(2))**2 + 4.\nAnswer: 26 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 12747455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -11009\nAnswer: 2\/11009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11069257 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-16)\/(-48)*-9. What is the lowest common multiple of 32 and (5\/d - 0)\/((-6)\/24)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 19*z - 8 - 20*z + 21. List the prime factors of w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.963553 - 0.075447. Let v = -35 - x. What is v rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101938107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1643 and 565457?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 156*m**3 - 2*m**2 + 3*m - 2. What is the units digit of g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**3\/3 + 6*c**2 - c - 4. What is the remainder when m(7) is divided by (1 - -11)\/(5 - 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 73. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = 660. Suppose 0 = 2*o - 0*o - 2*x - w, -o + 116 = x. List the prime factors of o.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 3*t = 36, -77*t + 82*t - 16 = u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.3675625 kilograms?\nAnswer: 367562500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30*f**3*v - 18*f**3 - 1729*f**2*v - 3022*f**2 + 36*f*v + 1 wrt v?\nAnswer: 30*f**3 - 1729*f**2 + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/21 (b) 33 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3 - t + 4 + 3*t - 3*t. Let v be b(5). Is 5\/v*(-4194)\/(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 9256*r + 46308. What is t(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1)*1\/(-9))\/(211\/562104*-111)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(0 + (-3)\/6). Let l(z) = 3*z - 1. Let b be l(2). Let i be (-26 + 18)*(-1 - 0)*b. Calculate the highest common divisor of q and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 200\/(-75)*33\/(-2). Suppose j + g = 47. Solve 2*m = -j*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e - -420?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 486 and 5832?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**5\/2 - w**4\/12 - w**3\/2 - w**2 - 2*w. Let k be g(-2). Suppose 0 = -3*o + k + 73. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 5:29 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krfafaffkgkdffrakkdr. Give prob of sequence ga.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**4 - 6*n**3 + 58*n**2 - 4*n**4 - 66*n**2.\nAnswer: 2*n**2*(n - 4)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354969 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: Does 7 divide 5917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985155 times -0.1?\nAnswer: -198515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixrpxrziiirrxj. What is prob of picking 1 p and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.1016 decades in centuries?\nAnswer: 17.11016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 5539 = 4557. Suppose -184 = 3*p - x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 6:32 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-12)\/(-5) + 44992\/16720 + -5)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 2. Let z(c) = -c**3 + 7*c**2 + 5*c - 1. Let l be z(p). What is l rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -0.04. Let f = -7.05 - z. Let c = 6.9914 + f. What is c rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 3404.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -5*i + 19, -15 = -3*i + 12*m - 54 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -5. Let c = 35 - f. Let d = 42 - c. What is the greatest common divisor of 120 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*o + 440, -4 - 6 = 2*n. Let k = o - 66. Factor 37*u**2 - 14*u**2 - 20*u**2 - k*u.\nAnswer: 3*u*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/85863 (b) -0.5 (c) 1\/991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = a + 15, 11 + 9 = -4*n. Let h be ((-84)\/(-2))\/((-2)\/a). Let y be (-2)\/(-9) - (h\/(-27))\/10. Do 1\/11 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 0, 3\/316, -1, -32, 11 in descending order.\nAnswer: 11, 2\/15, 3\/316, 0, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 4*p - 24 = 0. Suppose 0 = -p*z + 5*z - 28. Suppose 4*v - 3*q = 29, 4*v - 2*q + 4*q = z. Solve -v*c + 4 = -11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476773 is divided by 476773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 5:20 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.748 + 34.771. Let l = -0.023 + v. Let q = -22 + l. Which is the biggest value? (a) -4 (b) q (c) 3\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 133 + 8*z**2 + 195*z**3 + 5*z**2 - 10*z**2.\nAnswer: 195*z**3 + 4*z**2 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 201.0609 days?\nAnswer: 17371661760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(2\/15)*a)**33*a\/a**(-14)*a\/(a\/(a**(-12)*a)))**(-7\/4))**(-5) assuming a is positive.\nAnswer: a**651","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 3*z**2 - 2*z + 74. Let j(r) = r**3 - 2*r**2 - r + 76. Calculate 3*j(m) - 2*u(m).\nAnswer: m**3 + m + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (0\/3 - -3) - -1353 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -5. Let h = -3 - l. Suppose -7*f + 4*f + 6 = h. Which is the nearest to 0.1? (a) -0.5 (b) f (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 7\/4 (c) 0.2 (d) -25\/4 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*g + 16*g = 78. Let n(o) be the second derivative of -1\/27*o**3 - 1\/54*o**4 + 1\/135*o**g + 0 + 8*o + 1\/90*o**5 + 0*o**2. Factor n(t).\nAnswer: 2*t*(t - 1)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -264\/17? (a) 0 (b) -88 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**2 + 8*l + 12 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2\/337, 0.4, 0.2 in ascending order.\nAnswer: -23, 2\/337, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**6\/10 + 603*s**5\/20 + 247*s**4 + 786*s**3 + 1176*s**2 - 2*s - 240. Find k such that r(k) = 0.\nAnswer: -196, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 1. Let n be d(1). Let k = n - -1. Let h(g) = -2*g + 2. What is h(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 158 - 46 = 0. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.32 (b) -5 (c) 4 (d) -74\/7 (e) -0.1 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.32, 2\/3, -2, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 17. Let l be ((-39)\/(-26))\/(3\/p). Suppose t = l + 2. Solve -2*f = -t*a + 2, 3*f + 3*a = -2*a - 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 20669 + 4171. What is the least common multiple of o and 2025?\nAnswer: 16200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2709166 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 149025 and 3088.\nAnswer: 152113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -110? (a) 0.4 (b) 2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 3, j: 1, r: 6, b: 1, h: 1}. What is prob of picking 1 g and 1 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:40 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 387*y - 2. Let q(s) be the first derivative of -5*s**2 - 4258. What is q(w(k))?\nAnswer: -3870*k + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(180) - -1*sqrt(180)) + sqrt(180))*-2 - (-2 + sqrt(15)\/sqrt(3) + 5)**2) + -5.\nAnswer: -126*sqrt(5) - 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*s - s + 0*s)*(3*s - 5*s + 0*s) - 827*s**2 - 3343 + 3343)*(2*s - 3*s - s) as u*s + h*s**2 + y + r*s**3 and give r.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*b + 4*r, -r = 3*b + 3*r + 26. Let v be b*-4*(-2)\/16*-3. Is (-1591 - v)\/((-1 + 3)*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w\/(w*w*w**10*w*w))\/w*w**7 assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3\/4 + 1953675*i**2\/4 + 79517869326*i + 79517380908 = 0 for i.\nAnswer: -325612, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.8 + -1.61. Let o = -3.19 + t. What is the closest to 1 in 2\/9, o, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363185 divided by 5\nAnswer: 72637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40834648, 40834641, 40834630, 40834615, 40834596, 40834573?\nAnswer: 40834546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*b**2*u**2 + 18*b**2 + 2*b*u**2 - 49*b*u wrt u?\nAnswer: -226*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 7:22 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 - 5*v + 27*v + 12*v - 320 + 46*v = 0. What is v?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/118 (b) 489 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (0 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -63.7. Let x = -0.08 + -3.92. What is the nearest to t in x, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 228358*m**2 + 4566318*m - 4794678 = 0.\nAnswer: -114159, -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 2. Determine i(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2823 + 7928. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-1 - -4))\/(-62 + 61)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i + 1440 = 53*i - 77*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 0*f**2 - 6*f**2)*(0*f + 0*f + f)*(-11 + 2 + 6).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 6. Let c be k(-6). Let r = 248 - 254. Let z = c - r. Calculate the smallest common multiple of 12 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14168)\/(-17710))\/((-26)\/5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -409, -1056, -1703, -2350, -2997?\n\"Answer: -647*d + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34782 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 19.8. Let b be (-7)\/(-4) - (0 - -1). Let r = 0.2 - 1.2. Sort b, o, r in increasing order.\nAnswer: r, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 + -54?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -10 = 0.032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3157*g**3 - 644*g**2 - g?\nAnswer: -18942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 + 5*y + 5. Let t(k) = 3*k + 17. Let z be t(-6). Let n(c) = c**3 + c**2 + c + 1. Determine z*g(p) + 5*n(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111874 divided by -61?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 397957.479 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*o**2 + 10*o**3 - 6*o**3 - 9*o + o**3 + 107*o**2 + 118*o**2 to a*o**2 + r*o**3 + p*o + s and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4325 divided by 865?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-4) + (-105)\/70. What is the highest common factor of 61 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 - 42 = 0. Let r(g) = -13 + 2*g - 15 + 15. Let n be r(s). Which is bigger: n or 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49\/5 of a century?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4 = -5*a, 7*w - 2*w - 6 = 2*a. Suppose 0*b - 16 = -b. Solve 2*l = a*v, -v - 4*v + l = b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + -7 + 3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 238 (b) -3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*g - 24*g**2 - 26*g + 4*g wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 219*q**2 - 12*q - 6. Let u(t) = 14*t**3 - 657*t**2 + 34*t + 17. Calculate 17*s(n) + 6*u(n).\nAnswer: -n**3 - 219*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from yjyylrylj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*1 - sqrt(1260))\/(sqrt(7) + (sqrt(112)*2 - sqrt(112))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i**2 - 3*i**2)*(-1 + 0 + 9*i**2 - 1 + 2*i).\nAnswer: 9*i**4 + 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -76035 equal to -75905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -41*i + 45*i + 5, -5*b - 2*i - 35 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bkeelbkekkebbbkb. Give prob of sequence kebl.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -23.2. Let l = -3.2 + 1.2. Let h = l + i. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 1 - -2*1. Let j = -0.4 + -3.6. Let i(b) = -b - 12. Let z be i(-17). What is the third biggest value in z, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4 + 6. Suppose f - 5*d - 5 = 0, 25 = 2*f - d - 3. Let i = f + y. What is the remainder when i is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 18*o - 18. Determine l(14).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 131*c - 4041. Determine w(50).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 3*x + 2. Let o be q(6). Let l = 3115\/11 - 16422\/55. Do l and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -994 * 0.1.\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 + 2*s**2 - 3*s - 2. What is m(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 - 35 + 27)*(2*x**3 + 0*x**2 + 0*x**2) to the form a*x**2 + m*x + b*x**3 + f and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 264256 = -50028. What is j rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*j + 283*j = 50. Let b(h) = h**3 - 14*h**2 + 13*h + 5. Let f be b(13). Solve -f*c + j = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 - 4*y**2 + 62*y\/5 - 12.\nAnswer: 2*(y - 5)*(y - 3)*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -53971.8119 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/50167?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q - 1. Let l(d) = -8*d**2 + 8*d + 7. Determine -l(k) - 5*m(k).\nAnswer: 3*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/5 + 1\/5. Let o(n) = n**3 + 3*n**2 - 3*n - 1. Let u = -959 + 968. What is the smallest common multiple of o(w) and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 941.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.215 - 0.115. What is the third biggest value in -1\/8, -4\/3, y, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 263109 and 199869?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/9)\/((-3)\/(-9)). Let q(w) = -w**3 + 5*w**2 - 2*w + 8. Let z be q(5). Sort z, 1, i in decreasing order.\nAnswer: 1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 3*j. Let p be g(4). Let a = p - -44. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 1256 - 250 + 226 = 0. What is the greatest common divisor of l and 7336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-53 + 61 - (1 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 98*o + 211. Let q be z(-2). Let h(s) = s + 4. Let n be h(-4). Suppose -5*k + 3*c + 400 = -n*c, 3*c + q = 0. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20733 - 20723. Solve 125 = -x*d + 85 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 506 - (-22 - (9 - 22)). Solve -n*q + 523*q - 56 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1112644 and 2028.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/70 - ((-10089)\/(-21))\/(-3). Calculate the highest common factor of w and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/(-45))\/(3*((-4)\/6)\/(-2))*19.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10994 - 4872. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2*s + 4*s - s + 0*s - 5327100 + 5327100.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**6 - 20*f**4 + 1645*f**3 + 2*f**2 + 4266 wrt f.\nAnswer: 120*f**3 - 480*f + 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0.2, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, -68, -86, -2, -1, 4 in increasing order.\nAnswer: -86, -68, -2, -1, 1, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 10 (b) -228 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 504002 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002524157 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/7*(40\/(-15) + 3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -459, -1065, -2089, -3633, -5799, -8689?\nAnswer: -12405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -0.5, 0.3, -8, 0, -166?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197\/4 + 1765\/36. Let h = -58.95 - -63.95. Let l = 0.7 - -2.3. Which is the nearest to l? (a) -2\/11 (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/((-60)\/25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 35 + (2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3673, 5, 4, 0, 10 in descending order.\nAnswer: 3673, 10, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 5*i + 2*i)*(-8*i + 10*i**3 + 8*i)*(i + 7*i - 5*i).\nAnswer: -60*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -18 - 10. Solve -2*n = 3*k + 1, 5*k - 4*n - f = 28 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 2 + 0 - 3. Suppose 4*w - 13 = -h + a*h, -3*h = 3*w - 6. Solve 3*r**5 + 12*r**4 - 2*r**3 - 4*r**3 + 0*r**w - 9*r**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 4790 + 5848 = 37*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let o(z) = -z**3 + 5*z**2 + 5*z - 1. Let h(t) = -o(t) - 6*q(t). What is h(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -893 + -0.0871692\nAnswer: -893.0871692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0612121 + -2326\nAnswer: -2325.9387879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 25*p**2 - 10*p - 17. Give s(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 5*t**2 - 4*t + 3. Let i(g) = -2*g**2 + 11*g - 4. Let v be i(4). Suppose -v*n + 118 = -6*n. What is the remainder when n is divided by f(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -19b5b?\nAnswer: 19b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -372*s**2 + 6*s - 12. Let n be f(3). Let h = n - -6109. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/21 and 101\/600882.\nAnswer: 4206174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -19*w + 447. Let t be p(25). Let h(v) = 27*v**3 - 5*v**2 - 5. Let u(s) = 148*s**3 - 28*s**2 - 28. Determine t*h(n) + 5*u(n).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.0296, 4, 3212, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34098 and 1.307.\nAnswer: 44566.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 74*g**2 + 16*g + 53. Give u(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**2 - 8*b - 1. What are the prime factors of j(11)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 307108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 50. Suppose -3*o + q = h, -h + o + o = -63. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 2\/7, 2, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 22*b - 22*b - 2229 + 4*b)*(23 - 30*b - 23).\nAnswer: 30*b**2 + 66870*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51\/422 + 30113\/256154. Is -1 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23030 and 3430?\nAnswer: 161210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 - ((-1)\/(-7))\/((-1)\/(-7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251 + 256 + 16 + 0 + 2 + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 189\/124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -32, -71, -146, -269, -452?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20895588 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 1. Let q = -11 - -16. Let h be (-1773)\/135 + 13 - (-74)\/(-120)*1. What is the third biggest value in q, h, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 5*k**2 + 5*k + 2. Determine f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as -4.353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5381577, -5381553, -5381515, -5381463, -5381397, -5381317?\n\"Answer: 7*n**2 + 3*n - 5381587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(4\/114). Suppose -f*k + 6 = -16*k. What is the first derivative of 8*n**k - 6*n - 5*n**2 + 6*n + 4 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from qvvkqgqvgkqqqqvgv.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*a + 12. Suppose 0 = -5*o + 15 - 0, d - a*o + 5 = 0. Let p = d + -5. Solve p*y = -8 + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 + 156. Suppose 0 = 3*g - 2*z - x, 0 = -2*g + 5*z - 4 + 44. What is the highest common factor of g and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119615.\nAnswer: 5, 47, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-1*34\/(22440\/(-750)))\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96693*i + 96437*i + 3072 = 0 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 - 33 = 0. What is the greatest common factor of j and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 17. Let n be 18\/12 - (-12)\/8. Suppose 18*y - n*y + 180 = 0. Give w(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.1 - -0.1. Let k = 12.4 + m. Which is the biggest value? (a) -0.05 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18507 is divided by 52?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbn when three letters picked without replacement from {s: 3, n: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -638*l**4 + 2*l**2 - 1850*l + 34939749?\nAnswer: -2552*l**3 + 4*l - 1850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a factor of 30894760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.049 and -14.\nAnswer: 0.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.085 (b) 0.02 (c) 1 (d) -4\/9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -88*i + 3. Let n be o(-1). Let r = 296 - n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -22. Let s = -28 - t. Let k = s + 9. Is k at least as big as -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, k: 1, p: 6, s: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*3\/21*(-49)\/28\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 54*z**2. Let x(y) = 4*y**2. Determine b(x(q)).\nAnswer: 864*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {p: 1, y: 2, z: 2, o: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -98*c**7\/9 - 392*c**6\/5 - 469*c**5\/5 + 2150*c**4\/9 - 472*c**3\/3 + 48*c**2 - 8*c. Factor z(w).\nAnswer: -4*(w + 3)**2*(7*w - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 612 + -610. What is the highest common divisor of x and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-12) - 2) + 80\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {v: 1, n: 1, i: 2, s: 1, e: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94398201?\nAnswer: 3, 43, 353, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**4 + k + 0*k**4 + 3*k**3 - 4*k. Let r(j) = -5*j**4 + 7*j**3 - 5*j. Let g(v) = 7*l(v) - 3*r(v). What is the second derivative of g(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -17*g. Let j(c) = c**2 + 3. Let u(b) = -b**2 - 2. Let z(x) = 4*j(x) + 6*u(x). Determine z(i(t)).\nAnswer: -578*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 433457503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -4933.411246 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j**3*q**4 - 80*j**3*q + 5*j**2 - 2*j*q - 14*q**5 wrt q?\nAnswer: 180*j**3*q**2 - 280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 20. Suppose b*v = -q + 6, -4*q - 21 + 120 = -5*v. What is the remainder when 81 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n + 6*n - 2*n)*(4 - 3 + 0) + 2*n - n - 4*n - 2*n - 2*n + 6*n)*(20*n**2 - 47*n**2 + 23*n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*k = 468*k - 48 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 322 - 424 = -59*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.5, -66, -248, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q*(q\/(q*((q**(-6)*q)\/q)\/q)*q)\/q)\/(q**(-11)*q\/(q*(q\/(q\/(q*q\/q**0)))\/q)) assuming q is positive.\nAnswer: q**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -49*x**2 - x - 1. Let d be o(-1). Let v = 69 + d. Let j = 7 - 0. What is the remainder when v is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by (-3 + 7 + -3)*15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 2)*(5*k**3 - 3*k**3 + 0*k**3).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -761 + 6097\/8. Which is smaller: c or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19379025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/9*(-60)\/25. Let f(x) be the third derivative of -x**4\/6 - 3*x**3 + x**2. Calculate the remainder when 69 is divided by f(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose z*j - 122 = -i - 3*i, -2*j + 3*i = -58. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 9 + 7. Let z(f) = w*f - 2 - 1 + 5*f + f**2 - 10*f. Is 2 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19 + 0.59. Let i be 8\/10*(-3)\/(-12). Which is the third smallest value? (a) -0.5 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 269*f**2. Let q(i) = 13*i. Determine w(q(r)).\nAnswer: 45461*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-four fifths of a meter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16324 and 12932.\nAnswer: 995764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 0*q**5 + q**5 + (-3*q**4 - q**4 + 2*q**4)*(2 - q - 2) + 15*q**3 - 2*q**4 - 15*q**3 + 16*q**5.\nAnswer: 17*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153343921.\nAnswer: 23, 6667127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2103996997 from -21.\nAnswer: -2103997018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8500 - -3434. Is x <= -5066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - -1168944271501\nAnswer: 1168944271514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 6:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2705\/4869)\/(-4*3\/18)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -985387 - 301*b**3 + 3*b + 985387 as a*b + o + c*b**2 + l*b**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-296)\/10)\/((-10)\/(-25)). Let p = h - -178. Is p a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p + 1. Let f be b(-5). Let o = -444 + 623. Let l = f + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 24. Let a(f) = -35*f**2 + 3. What is a(o(u))?\nAnswer: -140*u**4 - 3360*u**2 - 20157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5904 and 80360.\nAnswer: 1446480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*d + 3*d - 76, 5*c + 10 = 0. Suppose -2*y = 7*y - d. Suppose 4*g = y + 24. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106628\/(-69020) - (-2)\/5. Let l = c - -1\/493. What is the common denominator of l and 3 + 44\/(-27)*-3?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4 + 3105*g**3 - 77859*g**2 - 862305*g + 11823462 = 0.\nAnswer: -14, 9, 31, 1009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.02, 2, -4, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**(4\/5))\/c)\/(c*c**(-1\/2))*(c*c**1)\/(c\/c**(5\/2)))**34 assuming c is positive.\nAnswer: c**(816\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 197225028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.54795 to one decimal place.\nAnswer: 47.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 1454 - 1456 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007718 rounded to 4 decimal places?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/40 + (-1 - (-3)\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10349 + 10353. Solve -u*r + 2*h = 16, -3*r - 5*h = -4*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwccz. What is prob of picking 1 c and 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 12:13 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 3\/4, 7\/4, 0.05, 0 in descending order.\nAnswer: 7\/4, 3\/4, 0.05, 0, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3. Let o(j) = -2*j + 11. Determine -5*g(i) - o(i).\nAnswer: 2*i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 20 = 0. Suppose -4*j = -2*j - v*p - 21, -5*j = 3*p - 99. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/265 and -64\/265.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2944, -5903, -8888, -11911, -14984, -18119?\nAnswer: -21328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3258 + 19475\/6. Find the common denominator of (-204)\/9*(-18)\/32 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134123.3 - -1147?\nAnswer: -132976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 a, and 1 x when four letters picked without replacement from {k: 6, a: 4, u: 2, c: 4, x: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16663580 + -11503580. Round z to the nearest one hundred thousand.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, -268, 2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 16*k + 51. Let a be f(-4). Let u(n) = 130*n - 13 - 70*n - 71*n + a*n**2 - 2*n**2. Calculate u(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.591882*0.01.\nAnswer: 0.01591882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -3011?\nAnswer: 3010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017023 rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 - 4*q + 7. Let m be y(-5). Let u be (-10 + 8)*(m + -1). Put 2, -3, u in increasing order.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 - -7) + 2*4\/(-8) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 2*o + 2 = -6*f, -2*o = 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000011101001011 - -110010?\nAnswer: 110000011101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 28*v**2 + 2*v - 2. What is p(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4)*12\/(-2). Suppose -l*b + 2*b + 30 = 0. Suppose -k + b = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 441?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -229145b (base 13) to base 7.\nAnswer: -156401434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1172.8882 + -1173. Let h = z + 0.0294. What is h rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2412124 (base 5) to base 16.\nAnswer: -ae78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2615 divide 1306749495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l. Let a be q(12). Solve -170*u + a*u**5 + 296*u**2 - 1769 + 1929 - 756*u**4 - 358*u + 612*u**3 = 0.\nAnswer: -5\/6, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) -2.9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h. Suppose r + h*r = 4. Suppose -r*i = -102 - 70. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 - k**2 + 3*k**2 to s*k + q*k**2 + a and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128338, -128329, -128320?\nAnswer: -128311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 328, 657, 1012, 1405, 1848, 2353, 2932, 3597?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162833.\nAnswer: 11, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 14 + 2. What is the remainder when 83 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 g when three letters picked without replacement from {j: 1, g: 4, a: 2, c: 2, h: 6}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -152031214 (base 6) in base 13?\nAnswer: -872c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0738 - -130.1738. Let a = -11.1 + l. Let m = -118.9947 + a. Round m to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 10 + 1)*(3*t**3 - 3*t**3 + t**3).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77070 (base 8) to base 5.\nAnswer: 2013222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (6\/8 - 0)*4. What is the common denominator of -73\/12 and (s - 6) + (-1)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n + n - 4*n + (15*n + 13*n - 2*n)*(0 + 2 + 0))*(1 + 2 - 5).\nAnswer: -106*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 61. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0*p)**(-47)*((p*p**(-2\/3))\/p)\/((p*p**(-4\/5)*p)\/p*p) assuming p is positive.\nAnswer: p**(-1438\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71771 is divided by 145?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 173 + z - 212 - 7*z. Let s be c(-9). What is the third derivative of -s*p**2 + 28*p**2 + p**2 - 39*p**6 wrt p?\nAnswer: -4680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*u - 5962 = 8892 - 434 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220863948?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68173305 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) 6 (c) 1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 111, 139, 155, 153, 127?\n\"Answer: -v**3 + 35*v + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*d**4 + 0 - 6\/11*d**2 + 0*d**3 - 4\/11*d.\nAnswer: 2*d*(d - 2)*(d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6936 + -1.0936. Put f, 0.1, 1610 in descending order.\nAnswer: 1610, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 1057\nAnswer: -1057.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 0*k - 125*k**2 + 25\/12*k**4 - 13\/40*k**6 + 0*k**3 + 0 + 0*k**5. Find the second derivative of n(a) wrt a.\nAnswer: -234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133251420?\nAnswer: 2, 3, 5, 23, 223, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-22)\/4)\/((1\/(-21415))\/((-32)\/(-80)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89510 divided by -17902\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 454 = 4. Suppose 48 = -37*m + i*m. Solve 5*d + 3*p = -m, -6 = 2*d - 0*p + 3*p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 12) to base 9.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 4. Suppose -5*d + 55 = -v - 5, 24 = 2*d + 2*v. Let t = -18 + d. List the prime factors of j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 3*g + 4. Let t(o) be the second derivative of -13*o**4\/6 + 4*o**3\/3 - 11*o**2\/2 + 16*o - 4. Determine -4*t(i) - 11*y(i).\nAnswer: 5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25644 + 26826. Solve 0 = 1172*v - y*v + 40 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r - 10*r + 2*r.\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 8*y**3 - 26*y**2 + y + 26. Let n(f) = 3*f**3 - 9*f**2 + 9. Let q(d) = 11*n(d) - 4*t(d). Let h = 1885 + -1891. What is q(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 11:02 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1052 + -14639\/14. What is the common denominator of (-530)\/252 + 6\/(-21) and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yccy when four letters picked without replacement from {y: 7, c: 7}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 465872423 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4070822?\nAnswer: 2, 7, 41539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62\/3 - 437\/21. Let x = -0.39 + -0.01. Let m = x - 0. Sort 5, m, f in increasing order.\nAnswer: m, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 2*v**2 + 3*v + 2. Suppose 224*x - 218*x = -270. Let m(k) = -2*k - 92. Let q be m(x). What is t(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.317057 to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -172417, -172416, -172415, -172414, -172413?\n\"Answer: m - 172418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002676401 to six decimal places.\nAnswer: 0.002676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(-1\/3)))\/i*i)**(-5)\/(i**(-2\/9)*i**3\/i))\/(i*i*i**(-1\/8)*(i*i*i\/i**8)\/i*(i*i*i**(2\/5))**(-47)) assuming i is positive.\nAnswer: i**(42653\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545670 (base 8) to base 4.\nAnswer: 230232320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.913 + 44.088. Round b to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 747 = -58*j. Let i be (4\/1)\/(8 - 4). Let l be i*(-1)\/(-2)*-14. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilometer in millimeters?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (124\/(-144))\/((-1)\/2). Let s = b + -2\/9. Let 6*d**4 + 1 + 2*d**3 - 7*d**2 - 7\/2*d**5 + s*d = 0. Calculate d.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 600. Suppose -2*b - 8 = -c. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 9 + 2*q**4 - q**2 - 8 + 2*q + 2*q**3 + 13 in the form t*q**2 + f + h*q**4 + r*q**3 + g*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 + -54. Suppose 7*w + 9710 = m*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1269686*d**2 + 1650084*d.\nAnswer: -2539372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -20*((-18)\/(-10) + -3 + -4). What is the highest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -102.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2034475 (base 9) to base 12\nAnswer: 444495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1.5, 2, 2.84, 0.05, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + t**2 + t. Let p(r) = -575*r**3 - 10*r**2 - 9*r - 2. Let u(z) = 6*l(z) + p(z). List the prime factors of u(-1).\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z**3 + 542 - 8*z**3 + 0*z**3 - 3*z**3.\nAnswer: -31*z**3 + 542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*k - l + 1, -3*k = -3*l + 15. Let w be 95\/(-20) - k\/(-4). Let p(c) = -2*c - 2. Let y be p(w). Solve 2*d = 6*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5550 = d, -564*f + 566*f + 27726 = 5*d. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 4 + -6*-3*3*2*sqrt(99)*6).\nAnswer: 9 + 5832*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*1 + sqrt(76)*-2*5)\/(sqrt(196) - (sqrt(196) - -4*(sqrt(196) - ((sqrt(196) - -1*sqrt(196)) + sqrt(196))) - sqrt(196))).\nAnswer: -4*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-30) + 15725\/375 - (-3 - -2). Solve o*w = 39*w + 2*b + 30, -5*w + 40 = -3*b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 6*q + 0*q)*(-6*q**3 + 4*q - 4*q).\nAnswer: -42*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2856)\/(-612)*9*25\/30.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3214745995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2649 - 2649. What is the nearest to v in 2, -2\/3, -3\/2, -7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 97. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82682578 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmt when three letters picked without replacement from {e: 6, o: 1, t: 1, m: 1, g: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4093 - 7023. What are the prime factors of (h\/(-5) + 5)\/3?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33644 and 37285316?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -874092058156978 + 874092009557527.5499897. Let u = -48599453 - d. Let v = u + 2.55. Round v to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**4 - 38*o**3 - 75*o**2 + 56*o + 60 = 0.\nAnswer: -10, -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 10 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 31264399 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 9. Suppose c + 0*c - 40 = 0. Let m = c + -30. Suppose -m = -3*v - 31. Calculate t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = -4*v + v, 2*t = -3*v - 2. Let i(z) = -2*z**3 - z**2 + 3*z + 3. Let g be i(v). Let n(d) = -d**2 + 11*d - 12. List the prime factors of n(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/3 - 56*b**4 - 2*b**3 + 500*b**2\/3 + 112*b = 0?\nAnswer: -1, 0, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 389851840 a multiple of 6580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 29001*z**2 - 176*z - 43?\nAnswer: 24*z**2 - 58002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(1\/12). Let c = d - -24. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**3 - 306*r**2 + 306*r**2.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1\/(-2))\/(2\/(-2)). Suppose -3*x + 6*y - 3*y = -5532, x - 5*y - 1848 = p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**3 + 2*g**3 + 2*g**3 + (-3*g**2 + 2*g**2 + 2*g**2)*(2*g - 7*g + 3*g) + (4*g**3 + g**3 - 3*g**3)*(0 + 5 - 4).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert d50ad (base 14) to base 15.\nAnswer: a213b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762027 (base 9) to base 10.\nAnswer: 454192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {i: 8, b: 2, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**2*n**2 + b**2*n - 3*n**2 - 346*n wrt n.\nAnswer: 14*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2175*m + 10701*m + 3326*m to h + z*m and give z.\nAnswer: 16202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*f - 24. Suppose f = -3*s - 0. Let g be (4\/115)\/((-6)\/(-15)). Is g > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + n**2 + (2*n - 4*n + 3*n)*(n + 3*n - 6*n) + (-n + 4*n - 5*n)*(4*n - 5*n - 3*n) - 20*n - 40*n**2 + 20*n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13688 or -13689?\nAnswer: -13689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:19 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -20. Suppose 3*z + r = 5*z. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d + 10*d + 4*d - 35*d + 16*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20989899103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p - 2*p**2 - 7 - 3*p + p**2 + 3*p. Let c be h(5). Solve 12 = 4*z - c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -9.16. Let c = w + -10.16. Let o = -9.945 - c. Round o to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9697 or -9695?\nAnswer: -9695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-45))\/((-4)\/36)*5. Let x(i) = i**2 - 6*i. Is x(v) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6 + 12, 2*t = -3*a + 70452. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 9:26 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*h + 185 + 388, -3*j - 577 = -5*h. Calculate the remainder when 1434 is divided by h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*t**3 - a**3*t**2 + 8176*a**3*t + 94*a**2*t**3 + 6*a*t**3 - 37*a*t - 9*t**3 wrt t.\nAnswer: 6*a**3 + 564*a**2 + 36*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((-5 - -16) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-468)*-4 - (0 + -1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*v - 10 + 3*v**2 + 169*v.\nAnswer: 3*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7292843.9999955 + -7292838. Let k = 22 + -16. Let x = c - k. Round x to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 42) + (1 - (-1 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 2 + -1)*2112\/(-24288)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 871080 and 5712?\nAnswer: 1742160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.519 - -42.9. Let q = j + 0.519. What is the smallest value in 1\/5, 0.01, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -980*n - 36148*n**2 + 980*n.\nAnswer: -36148*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 628 (c) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 643?\nAnswer: 94\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6250 by 50.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 3*k = -3*v - 805, 2*k = -2*v + 400. Let n be 1 + 3 + v + 7. Suppose -5*x + 350 = -5*l, 2*l - n + 56 = -2*x. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1. Let y(k) = 2*k + 7. Let p(o) = 2*o + 8. Let v(g) = 4*p(g) - 5*y(g). What is -5*d(c) - v(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, -0.004, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9140.89 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 307317, 614689, 922061, 1229433, 1536805?\n\"Answer: 307372*c - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*l - 3*l - l - 2*l + 0*l + l + (2 - 3 + 0)*(0*l + 3*l - 2*l) - 2*l + 0 + 0 + l + l + 0*l)*(0 - 4 - 5)*(0 + 5 + 1 + (-2 + 0 + 6)*(-3 + 2 - 1)).\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**4 - 102*l - 28*l + 2*l**4 - 31 - 383 wrt l.\nAnswer: -8*l**3 - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.53 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(-9)\/6 - -3. Let u(v) = -9*v + 6. Let f be u(-5). Let l = f - m. What is the highest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**1)**(-3\/28))**(-12) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31922466, -31922477, -31922496, -31922523, -31922558?\nAnswer: -31922601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -222314705 rounded to the nearest one million?\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2587\/57 + 136\/3. Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3 - 65 + 19 - 61 - 12*g. Let j be n(-11). Calculate the greatest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11674, -24012, -36348, -48682, -61014, -73344?\n\"Answer: p**2 - 12341*p + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -6, 3, 1, -22 in descending order.\nAnswer: 4, 3, 1, 0, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.17483 centuries in months?\nAnswer: 74609.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 244317?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 - 6444c?\nAnswer: -644a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, i: 5, f: 1, n: 1, m: 3, g: 2}. Give prob of picking 4 i.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.57 + -2.74. Which is the third biggest value? (a) 0.5 (b) -1\/3 (c) f (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(40\/(460\/(-23)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5275*q + 225109 + 296240 = 109899 for q.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(188 + 38*s - 188).\nAnswer: -76*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**7\/w))**(-1\/23))**41)**(-46) assuming w is positive.\nAnswer: w**(-410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25.29 (b) -4 (c) 4 (d) -18 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37945, 152028, 342165, 608356, 950601, 1368900?\n\"Answer: 38027*g**2 + 2*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(5 - 3*i**2 - 5) + i - i - i**2 - 2 + 4*i**2 + 2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -122, -124, -126, -128?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655 is divided by 293?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016034907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -17950\/9, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 832072 (base 9) in base 7?\nAnswer: 4124030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3960 and 24154570.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3927*q**3 - 4070*q**3 - 2 + 7859*q**3)*(-q + 0*q + 0*q).\nAnswer: 138*q**4 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 - -1257. Let u = f - 899. List the prime factors of u.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b**2*q**2 - 8481*b**2*q + 1430*b**2 - 14 wrt q?\nAnswer: -14*b**2*q - 8481*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -103 - 224 + 178*b - 1916*b + 146 wrt b?\nAnswer: -1738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0\/(-4))*-5. Suppose 3*n = r + 3*r - 23, i*n = -5. Let g(v) = -7*v + r*v + 0*v - 11*v. Let p(k) = -2*k. Calculate g(p(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2245459*i*y**4 + 2*i*y**2 + 45*i*y - 18813*y wrt y.\nAnswer: -26945508*i*y**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.311088 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 4d?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -44. Suppose 0 = -c - 3*c + v. Suppose 37 = -c*m + 181. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 557 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*z + 34. Is z greater than or equal to 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33111936 divided by -318384?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-910)\/11760 - (-2)\/(-42). Suppose -3*l = x + 11 + 8, -5*x = 2*l + 43. Which is the third smallest value? (a) x (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 675381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 58. What is the remainder when 53 is divided by (-22)\/f + 4 + 186\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 409500 and 724500.\nAnswer: 9418500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -33*g**4 - 111*g**3 - 18*g**2. Let a(i) = -i**3. Let t(r) = -6*a(r) + h(r). Let t(b) = 0. What is b?\nAnswer: -3, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1115774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o = -4*r - 6, 2*r - 3*o = 9. Put 1, -3, r, 5 in increasing order.\nAnswer: -3, r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d - 13*d = 2016. Calculate the remainder when d is divided by 75.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*y = k - 16, -k + 4 = -2*y. Let u(s) = 9*s + 5. What is u(k)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/(2\/10). Let f be (-2 + 4)\/((-1)\/b). Let h = -287 - -5451\/19. What is the biggest value in h, -0.4, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 236 = 4*b, 3*l - 101 - 56 = b. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (3 + (sqrt(567) - (2 + sqrt(567) - sqrt(567))))*-4)**2 + 2)*-6 + 4.\nAnswer: -54926 - 3888*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 + 15319*u\/3 + 30650.\nAnswer: -(u - 15325)*(u + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 167936 or 167940?\nAnswer: 167940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130359 is divided by 188390.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9673, -38702, -87083, -154816, -241901, -348338?\nAnswer: -474127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y + 22*y + 66*y - 2244 = 0. Calculate the remainder when 1140 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -3*z + 3*l - 28, 0 = -34*l + 102 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34\/111 - -1\/37. Let h(u) = -u**2 + 7*u - 6. Let t be h(6). Let d = t - 4. Which is the closest to o? (a) -1 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abccwccacccccawc. What is prob of picking 2 w and 1 a?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(7\/9)*d**(-8)*d*d*((d*d\/d**15)\/d)\/d*(d*d*d*d\/(((d*d**24)\/d)\/d)*d)\/d assuming d is positive.\nAnswer: d**(-358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 304 = -18*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose 2*a - j = 7. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -5\/33*q**3 + 1\/33*q**4 + 6*q + 1\/22*q**5 + 0 - 2\/11*q**2. Factor k(l).\nAnswer: 2*(l - 1)*(l + 1)*(5*l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -291.33489 - -0.03489. What is t rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.131 (b) 5 (c) -68 (d) 1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = -1. Let m be 1 - -2*f*1. Let z be 20\/50 - (-4)\/(-10). Solve -5*v - m = 5*y, 2*v + 1 + 1 = z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4036603 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 303 = -0*v + 2*c, -c = -3*v + 874. Suppose -5*r = z - 72, -3*r + 12 = 4*z - v. Let d = z - 25. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -83447*k - 260. Let c(l) = 3793*l + 12. Determine -65*c(a) - 3*y(a).\nAnswer: 3796*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1483, -1216, -949, -682, -415, -148?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/45 - (-6)\/(-15). Suppose 12*l = 5*l - 3*l + 50. Which is the nearest to v? (a) 2\/15 (b) -2\/13 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + a + 2*a)*(8 + 0 - 3)*(a**2 + 2*a**2 - a**2 + (-2*a + 0*a + 0*a)*(5*a + a - 4*a) + 0*a**2 - 6*a**2 + a**2).\nAnswer: 70*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + (-50)\/(-3) + (9 - 16). Calculate the greatest common divisor of 1805 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 5*v + 15, -2*v = -2. Which is the closest to 1? (a) 0.2 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-201)\/(-39) + 6\/(-39). Let d(i) = -i + 9. Let z be d(4). What is the third derivative of 0*q**n - 20*q**2 + 24*q**2 - 4*q**z wrt q?\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:47 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-97800.\nAnswer: -293400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 7*u**4\/6 - u - 65. Let d(r) = -8*r**2. Determine h(d(c)).\nAnswer: 896*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3388.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2 - (10\/(40\/12) - 1835)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -5, 0, 1250?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801896 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 19*d + 154. Let j be w(-6). Calculate the greatest common factor of j and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90478*j*q**2 + 17380*q**2 + q with respect to j.\nAnswer: -90478*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**3 - d + 6. Suppose -5*j - 135 = -0*j. Let m = j - -19. Let g be -1*9\/(-12)*m. Let w(f) = -f**3 - 1. Determine g*w(r) - z(r).\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - -3) - ((-1 - 28) + 5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103332 (base 4) in base 13?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 p when three letters picked without replacement from qgyxhyp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -110, -138, -168, -200, -234?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 28 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r. Suppose -o - 6*v = -2*v - 11, 2*o - 4 = v. Suppose -o*p - 5 = 1. What is k(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233450 (base 6) to base 2.\nAnswer: -10000010101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 20*f**2 - 18*f + 19. Let n be l(-19). Suppose 6*t + 6*t - 24 = n. Let g(p) = 4*p**2 + 2*p**2 - t*p**2. Let o(r) = 10*r. Calculate o(g(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 321644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 8 = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - i**4 + 2*i**4 + (-2*i + 2*i - 2*i)*(0*i**3 - 4*i**3 + 2*i**3))*(-3 - 1 + 1) - 2*i**4 + 2*i**2 - 2*i**2.\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = -5*m. What is the third derivative of 3*g**2 + 3*g**2 + 5*g - 5*g + m*g**3 wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2336158242 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = u - 1382, -3*z - 384 - 3822 = -3*u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5)*(-10 + 8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2001471?\nAnswer: 3, 61, 10937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**8\/1008 + z**7\/630 - 7*z**6\/180 - 7*z**5\/45 + z**4\/9 + 16*z**3\/9 + 2*z**2 + 18. Factor r(v).\nAnswer: (v - 4)*(v - 1)*(v + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -3*u**5\/20 + 15*u**4\/8 - u**3\/3 + 13*u**2 + 2*u - 169. Determine s(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -344 + 718. List the prime factors of g.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -61435, 248 in decreasing order.\nAnswer: 248, 4, -61435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/10*(-5)\/(-2). Let x = b + 1. Let x*w**2 - 4*w + 9*w**2 + w**2 = 0. What is w?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) - (-1 - 0). Suppose 5*n - 30 = -5*g, 15 = 4*g + 2*n - t. Suppose -5*q + g*k = -252, 2*q + 2*k + 23 = 111. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 15.1. Let m = 5 - 1. Let o(h) = 335*h - 3013. Let i be o(9). What is the nearest to i in j, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:26 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-40)\/(-16)*(-2 + 4). Suppose w - y - 6 = -r*y, 0 = -2*y. Is 7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/2)*j)\/j)\/(j\/j**(-17)*j) assuming j is positive.\nAnswer: j**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 4.5, 1\/8, 0 in descending order.\nAnswer: 4.5, 1\/8, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from elpyllmylyylyym?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 5. Let k be z(10). Let w(f) = -f + 3*f - f + k*f. Suppose -u = -6*u + 35. Let r(l) = -11*l. What is u*w(x) + 4*r(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*d + 50*d - 4*d**2)*(5*d + 23*d**2 - 40*d**2 + 23*d**2).\nAnswer: -24*d**4 - 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m, 4*m + 12 = 7*h - 4*h. Let v be 12960\/(-200)*(-10)\/h. Calculate the highest common divisor of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/5 - (-8)\/(-30)*162\/108. Put -1, 14, u in increasing order.\nAnswer: -1, u, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -109 (b) -2 (c) 19\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -129\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 22*w**3 - 7904*w**2 + 33290*w + 28400 = 0.\nAnswer: -8\/11, 5, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from oooookkkook?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 773*b = 815 - 3494 - 4278 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0 (c) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4202*g**3 + 25060726*g**2\/3 + 50175856*g\/3 + 7960\/3 = 0.\nAnswer: -2, -1\/6303, 1990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -297, -29, 0, -1\/7, 2\/7, 21?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6884 + 12564. Suppose 5403 + 277 = 4*k - u, -n = -4*k - 4*u. Find the common denominator of (2\/(-60))\/((-8)\/k) and -11\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(528) + sqrt(33))\/sqrt(11).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1904)\/168)\/(28\/762). Let j = l + 309. What is the nearest to 1 in j, 1\/3, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8749 times -1149?\nAnswer: -2154.2601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14) + (-936)\/168?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2120\/(-2544))\/(-10*(-4)\/(-32))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2. Let l be y(3). Suppose 0 = -5*c + l - 4. Calculate the remainder when -3*(-1)\/(-3)*-1 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488de (base 16) to base 5\nAnswer: -34002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 23 = -2*z, -21*z + 2*j + 6 = -25*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 208 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41197\/88 + 469. Calculate the common denominator of p and -73\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1\/5, 30188?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 7230178.\nAnswer: -72301780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -54\/5, 2, -5.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*k**5 + 5688*k**4 - 3872*k**3 - 22464*k**2 + 10304*k - 1152 = 0.\nAnswer: -18, -2, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.9 + 22. Let q = -133.86 + 133.96. Let l = -3 - -8. Which is the nearest to q? (a) l (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 913 - 883. Suppose -4*l + 12 = 0, r + 2*r = 2*l + 48. Calculate the least common multiple of a and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*k*x**3*y - j**3*k*x*y**2 - 8*j**3*k - j**3*x**2 - 4*j*k*x - j*x**3*y**2 - 3*k*x**3*y wrt x?\nAnswer: 6*j**3*k*y - 6*j*y**2 - 18*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 6.5. Let x = 6 + i. Let y be 2\/(-12)*(-16)\/(-24). Sort y, 4, x.\nAnswer: y, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13761816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(15 - (-1 - -1)). Let y be ((-6)\/(-5))\/((-6)\/j). Suppose -2*v + y = -7. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 98, 14 in descending order.\nAnswer: 98, 14, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1072868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2*(230\/(-20))\/(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l - 2. Let r be (-9)\/2*44\/(-33). Let t be y(r). Suppose -c - 4*b + 14 = 0, t*c + b - 24 = 32. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4579831.9917 + -4579641. Let t = g - 191. What is t rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36269*-1\nAnswer: -36269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1821, 216, 2253, 4290?\n\"Answer: 2037*m - 3858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-28)*(-595)\/1870?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100231212001 - -3?\nAnswer: 100231212010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18951168?\nAnswer: 2, 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 6. Let y be (-15 - 184\/(-12))\/(0 - 2\/(-9)). What is the nearest to y in x, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5908 - 3234. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-46)*(t**2)**(2\/35) assuming t is positive.\nAnswer: t**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 506805913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*(-104 - -8). Suppose -k - 4*z + 3 = -0*k, 2*k - 5*z = w. Suppose 0 = -f + k + 11. Calculate the remainder when 64 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -9.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184800 and 1760.\nAnswer: 184800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 7, 0, -4, 5, -2 in ascending order.\nAnswer: -77, -4, -2, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202131 + 100?\nAnswer: 3202231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8169?\nAnswer: 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and 17\/3279936?\nAnswer: 3279936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 78 = 15*d. What is the remainder when 98 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 - 2392*x + 5 + 2393*x wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 29038, 116425, 262154, 466225, 728638, 1049393, 1428490?\n\"Answer: 29171*k**2 - 126*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 21 = -15*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2432 = -490*q - 28892 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 22907 = -5*t, 0*t - 3*t = 3*n + 13749. Suppose -268 - 12 = -14*a. Calculate the remainder when t\/(-33) - 8\/(-44) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + -0.56. Let s = -23 + 22.99. Let l = h + s. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9222 + 21522. Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*o + 467, -o + 3*o = -3*i + 437. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 times -22?\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b*b**19)*b*b**(-23\/3)*(b\/(b*b\/(b\/(b**(-3\/5)*b))))\/b**(-2\/29) assuming b is positive.\nAnswer: b**(-10874\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3492*q - 4*i - 14 = 3498*q, 5*q + i + 9 + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 58*n = -4*d + 2*d - 20, 3*d + 0*d - 2*d = 4*n - 43 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w + 5 - 5. Sort -5, -3, w, 5 in descending order.\nAnswer: 5, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/16 and -121\/890.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4798088 litres to millilitres.\nAnswer: 479.8088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.419 and 0.208?\nAnswer: 0.087152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -1. Let o = 0.103143 - 5.103143. Which is the nearest to v? (a) 4 (b) o (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 52?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5447, 5449, 5439, 5411, 5359?\n\"Answer: -t**3 + 9*t + 5439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5 + 9*p**2 + p**3 - 8 - 2 + 15*p + 17. What is the remainder when 57 is divided by a(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242 + 2338 = -4*d. Find the common denominator of -33*-4*(-1)\/21 and (10\/(-50))\/((-12)\/d).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-152)\/36)*1185\/2765. What is f in 128\/21*f - m*f**2 + 0 = 0?\nAnswer: 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(84)*1*2 + (sqrt(84) + sqrt(84)*-1)*-1)\/(-2*sqrt(48) - (sqrt(108)*2 + sqrt(108))).\nAnswer: -5 - 2*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 15*q**5 + 5140*q**4 + 442030*q**3 + 290700*q**2 - 146205*q = 0.\nAnswer: -171, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-132)\/(-231))\/(10\/7). Let a be 9\/24165*(-1179)\/7. Let l = 1\/179 + a. Is l <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2137481 and 264917?\nAnswer: 3629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2042 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -12, 2*t - h - 7 = -18. Suppose -2*p + 3*y = 11, y = 5*p - 3*p + 1. Suppose p*f = u - 8 - 5, 0 = f - 4*u + 17. Sort t, f, 0 in decreasing order.\nAnswer: 0, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = -2*t + 60. Let p = t - -203. Let q be 4\/6 - ((-7)\/p + 1). What is the closest to 0 in 5, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*k + 111 - 111 + 0 + k + 0 - 4*k + 2*k + 4*k + (4 - 2 - 4)*(-3*k + 2*k + 3*k) - k + 3 - 3 to l + f*k and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -420 in descending order.\nAnswer: 1, -3, -420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118 plus -1?\nAnswer: -1.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 40.92869 hours?\nAnswer: 147343284000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21192, 21192, 21180, 21150, 21096, 21012, 20892, 20730?\nAnswer: 20520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 + 0*s**3 + 999*s**2 - 3*s**3 - 3*s - 996*s**2 + 22*s**4 to l*s**4 + r + d*s**2 + k*s**3 + i*s and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v*y*z - 12*v*y + 3*v*z - 36*y + z with respect to v.\nAnswer: 2*y*z - 12*y + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-18))\/(132\/(-17937018))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 24*q + 175 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmafxfif. What is prob of sequence ax?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.421875 + -0.067065. Round h to two dps.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1979 (base 10) in base 16?\nAnswer: 7bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, -6.4, 1\/3, 0.2.\nAnswer: -6.4, 0.2, 2\/9, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1114 (base 14) to base 9.\nAnswer: -4046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9 = 1. Suppose -13 = -3*n + j. Solve 3*c = n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - m = -3, -2 = 2*z - 3*m + 7. Suppose 0 = -4*k + 12, z = 3*c - 5*k + 9. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11708748 and 948?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 5) + 11\/1. Let v = 13 - f. Suppose -v*t = -t. Solve -2 + t = -2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3 + 23734258*d - 568214117.\nAnswer: 3*d**2 + 23734258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -280054*r + 495708 wrt r?\nAnswer: -280054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-75)\/(-10))*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, c: 12, j: 2, g: 3}. What is prob of picking 1 j and 1 k?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:16 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 4*y - 21*y)*((-1 + 1 + y)*(y - 3*y + 0*y) + (1 - 1 - 5*y)*(-2*y - 2*y + 2*y)) to the form p + w*y + k*y**2 + v*y**3 and give v.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 3.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 1171, 2635, 4685, 7321, 10543, 14351?\nAnswer: 18745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001235797571 rounded to 5 decimal places?\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 - 5*u**2 + u + 7. Let y(v) = 2*v**3 - 4*v**2 + v + 6. Let m be ((-15)\/6)\/((-3)\/(-6)). Calculate m*y(z) + 4*r(z).\nAnswer: -2*z**3 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8, 8, 62, 172, 356, 632, 1018, 1532?\n\"Answer: 3*y**3 + y**2 - 8*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/60 - a**4\/24 - 4*a**3 - 51*a**2 - 2. Let q be ((2 + -2)\/(-2))\/2. Calculate w(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42823, -42874, -42927, -42982?\n\"Answer: -j**2 - 48*j - 42774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*v = v - 17, 2*t - 1 = -v. Suppose -t*r + 3 = 1. Which is greater: 3\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/4, -92, 0.0362?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 2. Let r(h) = h + 1. Suppose 4*y - 14 = 2*d, -3*d - 8 - 8 = -5*y. Suppose -b = -4 + d, 3*o = -4*b + 7. Determine o*s(n) - 3*r(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 441*c**2 + 46261110*c + 1213203117025 = 0.\nAnswer: -1101455\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 176406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) - (-88)\/16. Let l be 8\/c - (-1 + 1). What is the second derivative of -5 + 0*h**4 + 3*h + 5 - l*h**4 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 (base 12) in base 16?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 36*t**4 - 79*t**2\/2 + 2*t - 1018. What is the second derivative of v(f) wrt f?\nAnswer: 864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6034*u + 174342 - 174342 to x + o*u and give o.\nAnswer: 6034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 427*x**2 - 14833*x - 7310.\nAnswer: -(x + 43)*(x + 170)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-7) - 1)\/(2915\/73458).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f + 33. Let b(w) = -w**3 - 11*w**2 + w + 11. Let z be b(f). Suppose 5*x - 2*n - 85 = z, -3*n + n = 4*x - 86. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(245) - -1*sqrt(245)*4 - sqrt(245)) - ((sqrt(300)*1)\/sqrt(12) - sqrt(25))\/(sqrt(55)\/(sqrt(11)*-1)))**2.\nAnswer: -280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((1 - 1 - -7) + -3). Solve g*b - 162 = 62*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16678 + 16680. Let g(n) be the third derivative of 2*n**4\/3 - 8*n**3\/3 - 7*n**2. Let r(u) = 6 + 3*u - 4 - 5. What is x*g(f) - 11*r(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1302 - -209. Is q 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 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 608269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:37 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*s + 133*s - 119 - 67*s as c + l*s and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*u - 9, 85 = 5*l + 5*u. What is the remainder when 11 is divided by -18*(-2)\/(l\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:20 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**4\/4 + 3*s**2\/2 + 15*s + 175. Let r(f) be the second derivative of n(f). Let a(c) = 5*c**2. Determine r(a(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1. Let b(t) = t - 5. Let n(o) = -o**3 - 3*o**2 - 2*o - 1. Let r be n(-2). Let z be -4*2\/(-2)*r + 19. Calculate z*l(s) + 3*b(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -1095542\nAnswer: 7668794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*2 + 4\/(-4). Let a = d - 11. Suppose -u - a*u = -35. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - 26. Suppose 4*n - 20 = -6*l + 3*l, -n + 3*l + 5 = 0. Suppose s = n*s - c. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r**2 - 310140. Let u(f) = 23*f. Give u(c(l)).\nAnswer: 115*l**2 - 7133220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-25))**(-1\/19)\/(o**(5\/14)\/(o\/(o\/o**(-22\/5))*o)) assuming o is positive.\nAnswer: o**(-3247\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3256*a = 3259*a - 45. Suppose 0*z + z + 174 = 3*o, 289 = 5*o - 2*z. Calculate the remainder when o is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227 + 238. Suppose -2*x + 4 + 8 = 0. Let q(a) = -a**2 + 8*a - 1. Let v be q(x). Is v bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53 or 65?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(3) + -4 - sqrt(3)) + -2 + sqrt(432)\/sqrt(9) + 5)**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*4\/14*14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 13. Let h be t(10). Suppose 11 = h*w - 2*w. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118305 = -3491*z - 94*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183876?\nAnswer: 2, 3, 7, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, a: 2, r: 1, m: 3}. What is prob of sequence mmgr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 93 = -20*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaeeebabbaaaaeaaee. Give prob of picking 2 a.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 12. Let i = 20 + -28. Let y be m(i). Let v be 3 + y - 12\/(-21). Which is the biggest value? (a) 0 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 395*o + 5512. Calculate d(-9).\nAnswer: 1957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 (base 13) in base 5?\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 2596 (c) 1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 19746774 = -6*b. Let p = b - -908871. Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence keye when four letters picked without replacement from ekeykekkeekpekke.\nAnswer: 7\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1378600 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 1. Let l be n(-4). Let f(r) = 2*r**2 + 4*r**3 - 5*r**3 - l*r**2 + 0*r**3. Let o(k) = 3*k**3 + 2*k**2. What is 6*f(g) + 3*o(g)?\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -22*p**2\/3 - 2318*p\/3 - 280 = 0.\nAnswer: -105, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150030187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -110. Let h be 31 + -25 - 3*o. Solve h*c + 20 = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-2 - -8) + 4 + -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1397, -3\/4 in ascending order.\nAnswer: -3\/4, 4, 1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 10, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 + 554*v\/15 - 56\/5.\nAnswer: 2*(v + 28)*(10*v - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2357057265 plus -0.4?\nAnswer: -2357057265.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + 7*h**3 - 357 - 2*h**4 - 36*h**2 + 356 + 3*h**3 + 38*h**2 as a + m*h**2 + k*h**4 + v*h + n*h**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 469, 659, 985, 1447, 2045, 2779?\n\"Answer: 68*d**2 - 14*d + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/d*d)\/(d**(-1\/6)\/d))**(-20)\/((d*d*d**(-5))\/(d*((d**(1\/7)*d)\/d)\/d))**(-7) assuming d is positive.\nAnswer: d**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(3\/2))**(2\/5) assuming j is positive.\nAnswer: j**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -8)*2*78\/42. Suppose 0 = 29*o - u*o - 3. Put 7, -3, 4, o in ascending order.\nAnswer: -3, o, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/12*(-1311)\/(-8303))\/(((-238)\/(-36))\/7).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 2) + (6 - (7 + 10)) - -1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 2*c)*(3 + 1 - 3) + (-1 - 2 + 5)*(-18*c + 48*c + 25*c).\nAnswer: 111*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051677 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Let q = -0.2 + o. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -5446\nAnswer: 2\/2723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -51. What is the highest common divisor of t and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:30 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -2129, -3622, -5111, -6596, -8077, -9554?\nAnswer: -11027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13*s + 57. What is o(7)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at most as big as -5017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 36. Let r be w(-22). Let j(h) = -h**3 - 7*h**2 + 2*h + 3. List the prime factors of j(r).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a - 4*f + 25, 27 = 5*a + 3*f. Suppose -v = 2*j - 7, 2*v - a*j = v - 8. Suppose -3*n - 6 = -3*q, -4*q + 0 = -2*n - 8. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220.99999697 + -221. What is g rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.101215 years in months?\nAnswer: 73.21458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1229, -3, 2 in ascending order.\nAnswer: -3, -2, 2, 4, 1229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 57\/(-9)) + 1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 9, 2*m - 2*p + p - 7 = 0. Suppose 4*a - m = d + 4, 2*a = 2*d. Suppose -i - a*i = 2400000. Round i to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, -6*p + 3*f + 31 = -2*p. Let i be 3\/p*18\/27. Determine z, given that -6\/7*z**2 - 4\/7*z + i = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3 - 24*w**2 = 0. What is w?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(28\/40)\/7*(-30)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -27*b**2 - 9. Let n(q) be the third derivative of q**4\/12 + 8*q**2 - 2. Determine n(m(k)).\nAnswer: -54*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 2*m. Let g be 14\/m + 2 + -3. Sort g, -1\/4, 3 in increasing order.\nAnswer: -1\/4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f**3 + 4*f**2 + 6*f. Let b(l) = -17*l**3 + 9*l**2 + 9*l. Give -6*b(y) + 13*v(y).\nAnswer: -2*y**3 - 2*y**2 + 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*j + 58 = 38*j - 122 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1012 = -10*m. What are the prime factors of m?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3562224 and -4?\nAnswer: 14248896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Which is the closest to t? (a) 2 (b) 0.4 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -95, -105, -121, -143?\n\"Answer: -3*b**2 - b - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjjjejejj. What is prob of sequence jjee?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 47 (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 - 50*q**2 + 4328*q\/3 - 2688.\nAnswer: (q - 112)*(q - 36)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 97 + 223. Calculate the remainder when s is divided by 74.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddvvvvvvjdjdj. Give prob of picking 1 v and 2 d.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235.08 - -3.92. Let z = -239.0998 + j. Let t = z + 0.09979543. Round t to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x, -2*x = 5*f + 49 - 269. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5369, -5348, -5327, -5306, -5285, -5264?\nAnswer: -5243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -626.\nAnswer: -626, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9395 - 0.0605. Which is the nearest to i? (a) 2\/3 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**4\/12 - w**2\/2 - w - 68. Let s(z) = 5*z**2 - 2*z**2 - 3 + 2*z - 6*z**2. What is -5*a(c) + s(c)?\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(76))\/(sqrt(24)\/(sqrt(12)\/sqrt(2))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*x - 6, 21 = -7207*x + 7210*x + 3*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 12.3 (b) -2\/437 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**2 + 35*i - 3. Let q(g) be the third derivative of -g**5\/12 - g**4\/2 + g**3\/6 + g**2. Let d = 391 - 385. Let m(p) = d*v(p) + 17*q(p). Give m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - d = 15, 6*d + 9 = 3*d. Let x(y) = -5*y**3 - 3*y**2 + 3*y + 1. Let n be x(b). Round n to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5006, 10342, 15704, 21098, 26530, 32006, 37532?\n\"Answer: q**3 + 7*q**2 + 5308*q - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507.043 + 506. Round d to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 14657*h + 307363. What is b(21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618 (base 11) in base 12?\nAnswer: 1b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 2*l, -4*l - l - f = -21. Calculate the smallest common multiple of 13 - -4 - (-3 + l) and 34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m**2 - m - 5. Let x be k(5). Suppose 3*h + 2*h - x = 0. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7160*m = -7161*m - 3*w - 5, -10*w = -2*m + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Solve 2*a - 5*b - 21 = h, -2*a - 5 - 4 = 5*b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(2499)*-1 + sqrt(2499) + sqrt(51))\/(sqrt(36)\/(sqrt(12)*5 + sqrt(12))))**2*-5)*1.\nAnswer: -3065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -139120 divided by 8\nAnswer: -17390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2\/15, -29024.6, -9\/5, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2942 is divided by 967?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230017*f**2*l**5 - 71*f**2*l**2 - 2*f**2 + 2*f + 2*l**5 - 58*l - 5 wrt l?\nAnswer: -13801020*f**2*l**2 + 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190553 and 38522.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 - 0.53. Let z = h + -1.3. Let r be (2 - 3)*(-3)\/(-4). What is the second biggest value in z, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13435511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 5 - 2)*(0 + 1 + 0) + 2 - 2 - 1)*(4*j - 3*j + 0*j)*(7787669*j - 7787669*j + 89465*j**2) to the form y*j**3 + u + i*j + v*j**2 and give y.\nAnswer: -178930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61979351 by -10.\nAnswer: 61979351\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**4 - 11808148*s**3 - 11808156*s**2 + 11808148*s + 11808152 = 0.\nAnswer: -1, 1, 2952038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7 + 0 + 0 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k. Let q(p) be the first derivative of -p**2\/2 - 21. Calculate q(j(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4306*-232.\nAnswer: 998992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*g + 69*g + 119*g + 3125 - 3125 + 60*g - 305*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/22, -2\/5, -0.049, -34.8, 2?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*c + 2*j, -2*c + 63 = -3*j - 14. Let o(k) = k**2 - 21*k - 44. Let l be o(18). Let i = l - -108. What is the remainder when c is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(10\/9)\/(((j**(-22)\/j*j)\/j)\/j)*j**(1\/2)*j*j*j*j**18 assuming j is positive.\nAnswer: j**(839\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 15 = -4*x, 0 = 2*a - 3*x - 10. Sort -3, 2, a, 1 in ascending order.\nAnswer: -3, 1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*(-40)\/350.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2 - 399*b**3 + 25*b**4 + 398*b**3 + 6*b**2 + 13*b**4 - b - 4*b**2 in the form n + v*b**3 + h*b + c*b**2 + j*b**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/239 - -236\/717. Which is the closest to 2\/3? (a) -0.4 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mny when three letters picked without replacement from {z: 1, m: 4, y: 2, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 4. Suppose 2*u + 18 = 4*m, 7*m - 3*m - 26 = -6*u. Which is the third smallest value? (a) 3\/7 (b) 0.5 (c) m (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 188*d**2 - 1092*d - 24. Let f be q(6). What is the highest common divisor of 1608 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/836*11)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, p: 1, s: 1, f: 1, k: 1}. Give prob of picking 1 n, 1 k, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-19))\/i)**(-22)\/(i**(-33)*i**(-11)*i*i) assuming i is positive.\nAnswer: i**460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**6\/120 - g**5\/15 - 5*g**4\/24 - g**3 - 3*g**2\/2 + 2*g - 197. Let d(b) be the second derivative of m(b). Determine d(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*p**3*x**4 + 2*p**3*x**2 - 5*p**3*x + 30*p**2*x**4 - 140*x**2 wrt x?\nAnswer: 960*p**3*x + 720*p**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2463 = 18*l - 2977, 2*l - 56 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 222122101 (base 3) to base 14\nAnswer: 7115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6315?\nAnswer: 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33159, 245948, 823513, 1948242, 3802523?\nAnswer: 6568744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0*o - 1\/120*o**4 + 13\/300*o**5 + 0 - 13\/30*o**3 + 130*o**2 + 1\/600*o**6. Factor t(r).\nAnswer: (r - 1)*(r + 1)*(r + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 11:44 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 5. Let n be k(5). Find the second derivative of n*i - 8*i + 2*i**3 + 8*i**3 wrt i.\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 224\/(-48). Suppose -l*m = f - 9 - 10, -3*f = -12. Suppose -3 = 3*o - m. Solve -3*y = 12 - o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*r + 10735 = 4*t, -5*r = -2*t + 4329. Suppose m + 7*m = t. List the prime factors of m.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1132787827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + (sqrt(19) - sqrt(38)\/sqrt(2)) + -1 - ((sqrt(228) - (3*sqrt(228) - sqrt(228)))*5)\/sqrt(12)).\nAnswer: 2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39150 (base 13) to base 16.\nAnswer: -19cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 138877010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6*t = 26602, 26*t - 23*t = 4*d - 26593. What are the prime factors of d?\nAnswer: 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6 - 15\/(-6). Let g(h) = -2*h + h**3 - 2 + h + 4*h + 4*h**2 - z*h. Is g(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2. Let u(v) be the second derivative of 11*v**3\/6 + 2*v**2 + 213*v. Calculate u(b(k)).\nAnswer: -88*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*s = 0, 7*s + 6 = 2*n + 3*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**3\/21 - 67*p**2\/14 + 138*p\/7 - 2427. Suppose k(j) = 0. What is j?\nAnswer: -69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -75, -127, -179, -231?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 665 + 1e16?\nAnswer: 257b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 22*z + 9. Give k(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxyxxxyy. What is prob of sequence xyx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*c + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21.01 - 3.012\nAnswer: 17.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2401 + -2399. Let v(u) = -4*u**2 - 3*u + 2. Let j(p) = -p. Give m*j(h) - v(h).\nAnswer: 4*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + 2*g - 1. Calculate l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -4. What is the remainder when 21 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30308 (base 12) to base 16.\nAnswer: -f4b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*w - 6*x + x, -3*x = 3*w - 6. Let l(d) = 5*d**2 - 9*d + 5. Let u(t) = -t**2 + t - 1. Let r(h) = -l(h) - 4*u(h). What is r(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + 5. Let w be 5\/(-5)*(-2 + -2). Suppose 5*u + 3*h - 16 = 7*h, -w*h = -3*u + 8. Give l(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/24)\/(2\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 638, 641, 646, 653?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 18, b: 2}. What is prob of sequence bb?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6261685.2 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7817*b - 70383. Determine l(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.2 (b) -39\/122 (c) -1 (d) 0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**4 + 2*i**2 - 2*i**2)*(-4*i - 6*i + 16*i + 1 + (3 - 1 - 1)*(i - 7*i - 2*i)).\nAnswer: -8*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2865?\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -10 - 90. What is the remainder when o is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -5, -0.7, 5, 8, 4.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3 + 2*z**2 - 2 + 3 - 9*z + 11. Let b be 6 + (2 + 0 - 2). Is s(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 divided by -10?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + (sqrt(114) - -1*sqrt(114))*-5 + -5*(-2*sqrt(114) - sqrt(114)))\/((-2*sqrt(2160))\/sqrt(10)).\nAnswer: -7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/7)*b)**17\/(b*b*b**(-1))**(-2\/89) assuming b is positive.\nAnswer: b**(24222\/623)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**11*s*s**(-1\/7))\/(s**(1\/6)\/s*s*(s*s*s**(1\/4))\/s) assuming s is positive.\nAnswer: s**(-803\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**5\/60 - 11*c**4\/24 + 3*c**3 + c**2\/2 - 9*c + 45. Let m(a) be the second derivative of n(a). Give m(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78009, -78010, -78011, -78012, -78013, -78014?\n\"Answer: -n - 78008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60130962517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d - 143. Let o be m(11). Let i(a) be the second derivative of 0*a**3 - 13*a + 0*a**2 + o - 5\/12*a**4. Factor i(z).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + 25. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541075.7 rounded to the nearest one thousand?\nAnswer: -541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000 + 1020?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147600267.\nAnswer: 4483, 1148249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 - 3)*(0*w - 2*w + 0*w) + 3*w - 4*w - 2*w)*(6*w + w**4 - 6*w).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10 and -101\/54274.\nAnswer: 271370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 53 = 5*b, 5*h - 36 - 99 = -b. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10736614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129533 (base 12) to base 8.\nAnswer: 1126667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2192165 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p = o - 8*p - 9, 2*o + 5*p - 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -170*z**3 + 78*z**2 - 67*z - 12. Calculate l(1).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6 + (3 - (-10)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 41. Suppose 30 = m - 4*y, b*y - 106 = -2*m - m. Suppose -8*w = -6 - m. Solve 2*o - 12 = -2*f, -10 = w*o + 4*f - 35 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + 151*i**2 - 70*i - 348. Suppose -20 = -4*g, -4*g - 4 = -3*a - 0*g. What is the remainder when q(75) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334203 divided by -46007?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 25*q - 15 = -22*q, 2*j + 5*q = -16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 17 - 18*b**4 - 2*b**3 + b**2 + 17 + 2*b to s*b**2 + q*b**4 + p*b + h*b**3 + k and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/360 and 49\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -400, 4, 30, 1 in decreasing order.\nAnswer: 30, 4, 1, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 20, 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*j + 40, 5*z + 34 = -3*j + 133 - 11 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/13)))\/k*k*k**(3\/7)*k)\/((k**6*k*k)\/(k*k**0)) assuming k is positive.\nAnswer: k**(-521\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273639653 - -3118.\nAnswer: -273636535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**5\/20 + 13*s**4\/24 - 2*s**2 - 72*s. Let a(o) = 2*o**2 - 6*o. Determine -13*a(y) - 6*b(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-752) + 3900\/(-1800)*3\/(-26)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.4, -234, -2, 618\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than 12965.5?\nAnswer: 12954.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhlhll. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-28)\/(-8) + -4)*0. Suppose -3*l + w*l + 174 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**4 - 106*a**3 - 94*a**2. Let n(k) = -k**4 + k**3. Let y(z) = m(z) + 10*n(z). Determine g, given that y(g) = 0.\nAnswer: -47, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 6*u - 8. Let w be s(8). Suppose -3*f - 75 = -w*f. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 396 and 495.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = 3*u - 4*g + 5*g, 5*u + g - 915 = 0. Calculate the remainder when 1465 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**5\/5 - 1846*k**4\/5 + 5562*k**3\/5 + 5542*k**2\/5 - 12976*k\/5 - 11112\/5 = 0.\nAnswer: -926, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -365, 10, 2\/7, -2, 0.3 in ascending order.\nAnswer: -365, -2, 2\/7, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1891*v - 1880*v - 571*v**2 + 583*v**2 + 5656*v - 1885*v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g - 8. Suppose -4*i + 30 = g. Let b(n) = 29*n. Is b(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -327 - -327.000147. Round t to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Suppose 14*h + 412 - 7734 = 0. Let v = h - 5751\/11. What is the smallest value in f, 4\/7, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1245 + -51039\/41. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5088 = 16*w + 768. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27\/299 - -109897\/1495. Let a = j + -129\/2. Let g = 3121\/9 - 346. Find the common denominator of a and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 11 + 61. Let p = -24 - r. Does 8 divide (3 + p - -4)*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 145. Suppose -4*q = -y + 16, 2*q = y - x*q - 8. Factor 0 + 1\/6*o**2 + y*o + 1\/6*o**4 + 1\/3*o**3.\nAnswer: o**2*(o + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6542 - -6542.10322. What is a rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14213, 14179, 14117, 14021, 13885, 13703, 13469, 13177?\n\"Answer: -o**3 - 8*o**2 - 3*o + 14225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*n + 494 = 0, 8*n - 388 = -4*l + 3*n. Suppose -11*v = -1988 - l. Suppose 532 = 39*a - 11*a. What is the highest common divisor of v and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + 148. Is s != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 20*g**2 - 20*g - 16. Let v be o(21). Let m be (12\/3)\/2*8\/(-16). Suppose 4*n = 2*c + 6 + 30, 5*n = c + 42. Put v, m, n in descending order.\nAnswer: n, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {n: 5, e: 5, j: 1, y: 4}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1883045542 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 329444867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57320\/363 or -157?\nAnswer: -57320\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5792249 or -2?\nAnswer: 3\/5792249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 128794538 rounded to the nearest 100000?\nAnswer: 128800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 24 = -2*w. Let b be 4\/w*120\/(-16). Suppose 0 = -b*g + 15 + 10. Calculate the lowest common multiple of 11 and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101111001111111111 (base 2) in base 8?\nAnswer: -2571777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(5\/(-25)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -2*f**5\/5 - 1736*f**4 + 5*f**3 + 5*f**2\/2 - 6773. What is the third derivative of j(g) wrt g?\nAnswer: -48*g - 41664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8 and -88\/375.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -11.805 (b) 2\/15 (c) -3 (d) 34 (e) -2\/7 (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-1 + 60)*(9 + -8). Let b = -59 + y. Solve 0 = -w - 1 - b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 882609?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -0.055.\nAnswer: 0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -15615680, 1?\nAnswer: -15615680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5841576146.100000604 - -5841576015.1. Let k = 0.15 + -131.15. Let c = r - k. Round c to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184249889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 181050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/12*30\/(-9))\/(170\/340).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 59*i**3 + i**2 - i. Let t(q) = -q**3 - 9*q**2 + q + 10. Let k be t(-9). Is p(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85 - -16944961?\nAnswer: 16944961.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 15. Solve -6*j + 2*j - 22 = -2*t, c = 4*t - j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189329 is divided by 63105.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose -32 + 8 = -b*w. Let k(x) = -x**2 + 4*x + 7. What is k(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i. Let n(o) = 2*o + 0*o + o - 2*o. Calculate w(n(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21c (base 16) to base 8\nAnswer: -1034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -2*f + 427, 87*f = 88*f + 4. Calculate the highest common divisor of 2 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1649484 - 1116294. Let v = -1665778 - b. Round v to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 57329, 57570, 57813, 58058, 58305, 58554, 58805?\n\"Answer: p**2 + 238*p + 57090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = k - 1595, 2*n + 2*k = 646. Does 53 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 2118747.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*o - 23, 2*k + 15 = -2*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(6\/45 + (-124)\/900)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446 and 3105146?\nAnswer: 692447558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -490 + 494. Solve -n*p = -13 - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 31484?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(12\/(-16)*-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231065336 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s**2 + 28*s - 25. What is w(8)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4 + 147\/(-28) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, h: 1, u: 5}. What is prob of sequence uuhu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68500 is divided by 67?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -13199999*q**4\/12 + q**3 + 5*q**2\/2 + 18*q. Let b be j(-1). Round b to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 92 = -6. Calculate the greatest common divisor of 258 and r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5 - 7. Let -s*z**2 + 8*z**2 - z + 0*z - z**3 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -62, -22, 44, 142, 278?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let c = -30 - -33.3. Let q = 2.8 - c. What is the closest to a in q, -3\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g + 12. What is n(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + sqrt(448) + -4))**2 + (sqrt(448) + sqrt(448) + 4 + sqrt(448) + sqrt(448) + 4 + 4)**2 + -2.\nAnswer: -3840*sqrt(7) + 25742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**6\/45 + 2*w**5\/15 + w**4\/9 - 8*w - 3. Let h(v) be the first derivative of r(v). Find z, given that h(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 312 divide 12813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-1*-3 - ((sqrt(11) - -5*sqrt(99)) + sqrt(11))*5.\nAnswer: -58*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236042?\nAnswer: 2, 107, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50686.36mg to micrograms.\nAnswer: 50686360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -810 - -895. Suppose 90*i - l*i = 1170. Calculate the remainder when i is divided by 64.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17. Let t = 34 + -29. Suppose -2*b = -4*s + 26, -t*s - b = -6*b - 45. Solve -h - v = 3 - o, -s*h - 7 = 3*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 0.09577?\nAnswer: 2.96887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12730 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**5\/150 + 512*u**4\/15 - 1048576*u**3\/15 + 1073741824*u**2\/15 + 56*u. Find m, given that f(m) = 0.\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -11\/2538?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26.48*-0.1247\nAnswer: -3.302056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let u be ((-12)\/(-12))\/(1\/3). Let l(d) = -2*d**2 - 3. Let g(n) = 139*n - 1 - n**2 - 139*n. Let p(s) = u*g(s) - l(s). What is o(p(y))?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 10394*n\/11 - 2282176\/11.\nAnswer: 2*(n - 5408)*(n + 211)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 2*g - 4. Let m(y) = -y - 1. Give l(a) - 2*m(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + -42*7\/(-42). Let d(i) = -i**3 + 5*i - 6. Let t(g) = -g**3 + g - 1. Determine w*d(f) + 6*t(f).\nAnswer: -5*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -7 - 5. Let b be 2*s\/(-4) - 2. Let d be (1 - 2) + b*3. Solve 2*p = -d*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k**5\/7 - 2*k**4 - 114*k**3 + 1254*k**2\/7 + 9140*k\/7 - 20400\/7 = 0. What is k?\nAnswer: -5, 3, 34\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1275.767, -4, 4?\nAnswer: 1275.767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1219804810 to the nearest 1000000.\nAnswer: -1220000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 112?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 43197570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 2427, 2 in increasing order.\nAnswer: 2, 54, 2427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 2*q**2 + 3*q + 3. Let j be r(-3). Suppose -o = -23*o + 17*o + 15. Solve -2*g = -2*x - o*x + 26, -j*x + 27 = -5*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.3 - -5. Suppose 2*m + 3*i + 14 = 0, 8 = -m - 5*i + 1. Let v = 41\/6 + m. Which is the smallest value? (a) 0.5 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -25048 and -25049 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -176.7 + 189. Round x to zero decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 2*o**3 + o**3 + 4*o**2 + 4*o.\nAnswer: o*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125 = -3*n + 4*h, -2933*n + 7*h - 206 = -2932*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/97527 smaller than -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q**4 - 3*q**4 + 2*q**4 + (-4*q**2 + q**3 + 4*q**2)*(0*q + 3*q - 4*q) + 3*q**4 - q**3 + q**3.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v - 83. Let k be t(-8). Which is the closest to -1\/2? (a) k (b) 0.08 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358994 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -462, -1033, -1832, -2859, -4114?\nAnswer: -5597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5099.\nAnswer: 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17428 + -17430. Let f = -3 - 1. Which is the closest to 15? (a) f (b) q (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**7*u)\/u)**(-27))**(-29) assuming u is positive.\nAnswer: u**(-4698)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 29*j + 0 to the form w + f*j and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138\/2329 + -8\/137. Let s = 11 + -7. Suppose -s*d + 4 = -4*w, -5 = -5*d - 0*d + 3*w. Which is bigger: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(6\/7)\/r**(-4\/5)*((r\/(r*r**(2\/19)\/r))\/r*r)**(7\/6) assuming r is positive.\nAnswer: r**(10777\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -101\/10*b**5 + 3\/2*b**3 - 160*b + 0 + 0*b**2 - 2\/3*b**4. What is the third derivative of i(a) wrt a?\nAnswer: -1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.16 + 10. Put x, 0.5, 1\/9 in descending order.\nAnswer: 0.5, 1\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 45*y + 28*y + 10*y + 16*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2800 - -4150. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by -7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1864 divided by -1.\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17005 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/4)\/(-3))\/(((-280)\/(-30))\/(6\/9))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3*s - 58. Suppose 0 = p - 2*p + 57. Let t = p - -1. Calculate the remainder when t is divided by q(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 3. Determine l(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -450562\/5 not equal to -90112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -156\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16438*s - 8278*s - 8157*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + z**2)*(2 - 2*z - 2) - 1 + 1 - z**3 + (24*z**3 - 32*z**3 + 35*z**3)*(-5 + 2 + 1 - 2 + 2 + 1 + (-3 + 0 + 2)*(3 - 4 - 1)).\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3063*n + 8228*n + 185369 = 2100*n - 99552 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -5. Suppose -n + 800 = 7*n. Let w = n - 502\/5. Which is the nearest to w? (a) z (b) 0.8 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b. Let u be j(-2). Let r(t) = -t**3 - 2*t**2 - 4*t + 8. Let x be r(u). Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*b + 4. Suppose -3*k + 56 = -b. Calculate the remainder when 62 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 9*z**3 + 54564*z**2 - 3882615*z - 2612658 = 0.\nAnswer: -6133, -2\/3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*3\/(36\/44). Solve -j = 5*b + o, 2*j = -2*b + 3 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 greater than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 1, v: 1, h: 3, a: 5, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a microsecond in nanoseconds?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 238404 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*m**2 - 169*m?\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*x - 4 = 0, 4*k + 3*x - 21 = 23. Calculate the highest common factor of k and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 8*t**2\/3 - 4*t.\nAnswer: -t*(t - 6)*(t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*u = 183*u + 1323 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-50)\/(-4))\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -621473 + 621473 - 8288*o as h*o + w and give h.\nAnswer: -8288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 611*n**3 + 26*n**2 + 7*n?\nAnswer: 3666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1. Let t = -15 - -12. What is the second biggest value in t, 1\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -0.4, -1, 0.04, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 30 = -5*s, 88 = 5*l + 4*s + 109 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 32385630.698 and 0.2.\nAnswer: 32385630.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 10*a**2 - 92*a + 25. Let q be i(6). Solve 52*z = q*z - 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u + 9. Suppose 0 = 11*d - 25*d + 14. Put u, 5, d, -5 in decreasing order.\nAnswer: 5, u, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -6. Let u = -1 - j. Solve 0 = -u*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 87*s**2 + 2. What is the remainder when o(-1) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -244*d - 22. Let l(m) = -163*m - 14. Let r(t) = 8*l(t) - 5*q(t). List the prime factors of r(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*q + 4*a*l - 4*a*q**2 - 2*l*q - 122*q**2 wrt a.\nAnswer: 4*a*q + 4*l - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) - sqrt(132)*-1))\/(sqrt(120)\/(-1*sqrt(10))) - ((((sqrt(66)*-2 - sqrt(66))*4)\/sqrt(6))**2 - (sqrt(1100) - sqrt(1100)*1*-6)).\nAnswer: -1584 + 82*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b + 64. Let z = -22 - b. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v. Let g(u) = -2*u**2 - 8*u**2 + 9*u**2. Calculate h(g(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**4\/6 + 34980*y + 1. Let a(t) = -32*t - 12. Let u(v) = -11*v - 4. Let g(b) = -3*a(b) + 8*u(b). Determine h(g(r)).\nAnswer: -128*r**2 - 128*r - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1753 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -1\/21*t**3 + 134 + 6\/7*t**2 + 13\/7*t. Find c, given that h(c) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (189\/(-8))\/((-94)\/(91744\/(-183)))\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4774 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*((-42)\/525)\/((-13)\/(-390)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-8))\/((-27)\/(-1008)). Let r be (-2)\/(-8) - (-7)\/h. Which is the nearest to r? (a) -0.3 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = 0, 42593 = -h - 3*f + 42562 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 46\/(-14) - 12\/(-42). Suppose 5*r + 5*u = 2*u - 7, 0 = -2*r + 5*u - 9. Let v be -3 - -10*(3 + (y - r)). What is the highest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 21, 50, 99, 174, 281?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/8)\/(3\/1099596). Suppose v + a = -285101. What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 121*b**6\/720 - 11*b**5\/60 + b**4\/12 - 4*b**3 - 6. Let w(f) be the third derivative of y(f). What is v in w(v) = 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.1 - -6.1076. Round q to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/175093 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) - (sqrt(2700) + sqrt(2700) + sqrt(2700) + sqrt(2700)*3 + sqrt(2700) + -4 - sqrt(2700)))*-4)**2.\nAnswer: -19200*sqrt(3) + 1080256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-196)\/441 + (-40)\/(-340) + 262\/(-1071)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (26 - 22)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 8\/65, -2\/5, 0.4, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 99, -1125, -3173, -6051, -9765?\n\"Answer: -r**3 - 406*r**2 + r + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = i - 4*u, 3*u - 7*u = -5*i - 7. Let s be (-8362)\/(-4380) + 8\/(-20). Let r = 2\/219 - s. What is the biggest value in -0.1, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**3 + 12*y**2 - 11. Let n be s(5). Let q be n + (-2 - 3 - -1). Suppose q = 8*i + 11. Put 0, 5, i, 2 in descending order.\nAnswer: 5, i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 230 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 215, 242, 289, 356?\n\"Answer: 10*x**2 - 3*x + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*p**2 + 1 + (3*p - 4*p + 0*p)*(0*p - p + 3*p) - 2*p**2 + 0*p**2 + 0*p**2 + 3*p - p**2 - 3*p + (0*p + p + p)*(0*p - 3*p + 2*p) - 3*p - p**2 + 3*p.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*b - l + 9, 5*l - 18 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/107 + 250\/963. Let m = 22957\/2 + -11479. What is the fourth smallest value in 5, s, m, 0.25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16536979 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - y + 35 = 0, k - 3*y = -3 - 6. Let s(t) = -10*t**2 + 6*t + 14*t**2 + 0 - 8. Let j(b) = -9*b**2 - 13*b + 17. Determine k*j(i) + 13*s(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 620516879 to the power of 1\/3, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5299540 and 700?\nAnswer: 185483900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*l - 50 + 2703*l**4 - 12*l**2 - l**5 + 3*l**5 - 842*l**4 - 19*l**2 + 52 wrt l?\nAnswer: 120*l**2 + 44664*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzwj when four letters picked without replacement from {z: 1, b: 7, r: 4, w: 4, j: 3}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 100 + 287 - 97 + 2233*q.\nAnswer: 2233*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 6:41 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a - 40*a - 33*a as p + g*a and give g.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 + 27*b + 1140. Let s be n(24). Solve 74*c - s = 64*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/99)\/(585\/(-2574)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 6. Let u be k(0). Let z be 9\/u - 3\/(-6). Find the second derivative of a - 3*a**5 + 4*a**5 + z*a - 6*a wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6805)\/1361 + (-154)\/(-18)\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 4*d - 3*d)*(-15*d - 3*d + 0*d)*(-127 + 42 + 37)*(3 + 4 - 6) to k + h*d**2 + g*d and give h.\nAnswer: 2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1075490 and -17\/175.\nAnswer: 37642150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60*(-65)\/(-5200)*8\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -49c?\nAnswer: 4a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -17 - (2 + (-1 - -11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 50. Which is the second biggest value? (a) -2\/7 (b) w (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207665473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -25 + 9. What is the greatest common factor of z and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g. Let f(l) = -9*l. Let i(x) = -5*x + 7 + 8 - 15. Let w(m) = -3*f(m) + 5*i(m). Determine w(y(v)).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + z**2 - 5*z - 1. Let u be 0 - (-2 - (-2)\/(-1)). Is n(u) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 27817 + 23329 = 0. Calculate the greatest common factor of k and 561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8240 to the nearest 100.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 6. Is v + -1 + 5 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*z + 24*z + 2167 - 2938 + 12000 = 0 for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 0, -10*u - 68 = -2*n - 6*u. Suppose -5*c - 26 = -3*i, c + 3*c - 8 = 0. Calculate the remainder when n is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 94*g**3 - 7*g**2 + 2*g + 5. Let q be o(3). Suppose 2*u = -5*n + 6244, -q = -2*n + 2*u + 3*u. Let s = n + -637. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2552 and -111\/160864?\nAnswer: 4665056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/17, 2\/5, 0.1, -0.3.\nAnswer: -5, -0.3, 1\/17, 0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)*2 + sqrt(36)\/(sqrt(60)\/sqrt(5)) + 5.\nAnswer: 5 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3197 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499 + -491. Solve -w*x - 16\/7 - 18\/7*x**3 - 60\/7*x**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(4860)*2 - sqrt(4860)) + 1*sqrt(4860)*-6))\/((sqrt(432)\/(sqrt(45)\/sqrt(5)))\/(3*sqrt(24)\/sqrt(6) + sqrt(4))).\nAnswer: -1944*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 190673 divided by -70\nAnswer: -27239\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -997.00463 - -997. Round a to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 405 = 5*d. Let s(h) = -4*h - 81 + h**2 + d. Let t(v) = 3*v**2 - 9*v. Let j(f) = -9*s(f) + 4*t(f). Factor j(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.168723 centuries?\nAnswer: 516.8723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 5*b**6\/72 - 7*b**4\/8 - 26*b**2. Let q(m) be the second derivative of n(m). Let w(j) = 2*j**2. Give w(q(f)).\nAnswer: 5000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 2*g + 12. Let c(x) = -3*x**2 - 5*x - 25. Give 2*c(m) + 5*n(m).\nAnswer: -m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*-6 - -21. Suppose -a = -3*f - 26. Is -14\/9 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)*61 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**7\/147 + c**6\/105 - 7*c - 4. Let d(q) be the first derivative of i(q). What is x in d(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*i**3*o**3 - i**3*o**2 - 45*i**3*o + 6*i*o**4 + 2*i + 4*o**2 wrt o.\nAnswer: -186*i**3 + 144*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:18 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1260 divided by -1\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 0. Let m(q) be the first derivative of -q**3\/3 + 3*q**2 - 10*q + 3. Let t be m(o). Is t less than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -0.0132451.\nAnswer: 0.2913922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + -2 + (6 - 1 - 1). Let h = 11 + y. Let w = -1 - -0.8. What is the second biggest value in h, 0.01, w?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(w - 6*w + 3*w) - 995 + 995 - 835*w - 3 - w + 3*w + 1.\nAnswer: -829*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:54 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 10 = -9*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -23*z**2 + 14*z + 1. Let v(q) = -53*q**2 + 28*q + 2. What is 3*v(t) - 7*w(t)?\nAnswer: 2*t**2 - 14*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 3 (c) -3 (d) -137 (e) -0.638 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 4*u + 20, -370*x + 367*x = 5*u + 25 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 2)*(4*b + b + b)*(b - b + b**2) to f + r*b**2 + a*b**3 + o*b and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = 47*s - 18723. Calculate the greatest common divisor of s and 9858.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*q + 5*b, 0*q + 5*q + 19 = 2*b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 907208455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i. Let c be a(0). Let o(s) = -2*s - 3. Let z be o(-3). Let g be 26\/8 + z\/(-12). What is the third biggest value in c, 0.4, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 5. Let x(h) = 5112*h**2 + 4*h - 5. Let s be x(z). Suppose 0 = -5*b - 5, 4*t - 5*b + 2*b - s = 0. What is t rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:33 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -9 + 9 - -7) + 7 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + ((3*sqrt(114) - sqrt(114) - sqrt(114))\/sqrt(6))**2 + 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.4949, -0.1, 3, 5?\nAnswer: -0.4949","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/105 and 25\/42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 14 - 11) + (-4 - 2) + (-4 - -19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*(-15 + 6). Suppose -3*t - 264 = -l*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: What is the fifth smallest value in -1\/4, -74, -1, 0, -0.4, 0.09, -95?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**7\/7 - p**3\/3 + 5. What is the third derivative of l(c) wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-15))\/((-1)\/(-55)) + 0. Let d = -64 - k. Suppose -5*a + 5*o + 26 + 4 = 0, 0 = -d*a + 5*o. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 175 - 162. Sort 2, g, 15 in descending order.\nAnswer: 15, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 + 2)\/(-8))\/((-2)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3026.7992 + 3028. Let x = w - 50.6708. Let k = 49 + x. Round k to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 884 + -885. Let m be 8\/20*(-5)\/31. Sort x, -1\/3, m.\nAnswer: x, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 9*n**2 - 2. Let q be l(-9). Let h be 0 + ((-2)\/q - 1). Sort 4, 1, h in decreasing order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-72)*(-4)\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 4:43 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/27)\/((-2)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420 + 608*w**2 + 283 - 2*w**3 - 1208*w**2 + 600*w**2.\nAnswer: -2*w**3 + 703","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1779 + 1843 = -8*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22004*u**3 - 2*u*x - 1221*x - 3 wrt u?\nAnswer: -66012*u**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -4*p + 2*v - 33, 500*p - 503*p + 3*v = -18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35660 rounded to the nearest one thousand?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 - 2*j**4 + 2*j**4 + (3*j**5 + 0*j**5 - j**5)*(4 - 3 - 4) + 144*j**5 + 641*j**5 - 202*j**5.\nAnswer: 575*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 11 = 4*g - 5*l, -2 = -2*l. Let c be g*(-4 - -6 - -5). Suppose -12*m + c*m = 6. Put 5, m, 1 in descending order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5451\/592 + -232\/37. Find the common denominator of 53\/20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-315)\/(-18))\/35)\/(3\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(-1\/2)*y)\/y**(-20\/3)*y\/(y\/(((y\/(y\/y**7))\/y)\/y*y))*y**(-1\/23))**(-4) assuming y is positive.\nAnswer: y**(-4450\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 6*i + 10. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18*i**2 + 9*i + 23*i + 31 - 8*i**2.\nAnswer: -26*i**2 + 32*i + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 125 - 125.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 146 + -80. Let p = y - 65.8. Which is bigger: p or -0.002?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -54 and -0.03.\nAnswer: -54.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1114560*r**2 + 2408*r - 2408. Let q(f) = -1388*f**2 - 3*f + 3. Let z(d) = -6*o(d) - 4816*q(d). Let c(n) = -2*n. Give c(z(j)).\nAnswer: 5504*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2092*o - 2911 + 892 - 2169 + 1888*o wrt o.\nAnswer: 3980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = -15. Let t = -31 + 25. What are the prime factors of t\/h + 25 + 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1544 = 44*c - 195 + 19 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k = 8. Suppose 3*p - k*i = 4, -3 = -p + i - 0*i. Let n be (7\/3 + p)\/((-1)\/(-21)). Solve 3*f + 1 = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15989\/4 or 0.224?\nAnswer: -15989\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*r - 23 = 0, 0*k - 4*k - 9 = -r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 5*p - 15*p - 3. Let n(s) = -3*s - 26. Let v(t) = t + 14. Let h(l) = -6*n(l) - 11*v(l). Calculate 6*h(x) + 5*r(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22112001101 + 222100?\nAnswer: 22120000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*s = 10, -810*r + 5*s = -814*r + 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + 1.59. Let c = r - 1.3. Sort 0.3, 2\/23, c in descending order.\nAnswer: 0.3, c, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*s*y**2 + 2*s*y - 3*s - 3*y wrt y?\nAnswer: 464*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 6*o**2 - o + 10. What is p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*o + 3*o = 42, -5*r + 54 = 3*o. Suppose -4*x + 12 = 0, -w + x - r = 2*w. Let f(v) = v**3 + 5*v**2 + 3*v - 2. Give f(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0080783 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/227195 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 + 4*z - 1. Let x be q(3). Suppose -9*k = -27*k + 180. Let w(b) = -b**2 + 8*b + 21. Let m be w(k). Solve j = m - x for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271728736 is divided by 135864364.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (175*15\/75)\/(21\/(-21))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 365, 353, 333, 305, 269, 225, 173?\n\"Answer: -4*k**2 + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-105)\/14*(-8)\/6. Suppose -2*a = -2*g - 2*g + 12, y = -a + 3*g. Put -5, a, -2 in decreasing order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 7*r - 24. Solve -r*a - 3*a = 4*t - 45, -2*t = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 4*u**2 + 2*u - 3. Let i be n(4). Suppose -i*y + 50 = -135. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - 83. Let x = h - 68.3. Let q be (-20)\/21 + 2\/7. Which is the biggest value? (a) x (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fxpffxxfp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y + 2. Let o be (0 - -5 - 4)*1. Let v(x) = 61*x**2 - 15*x + 13. What is the remainder when v(o) is divided by d(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*y - 15 + 2, 2*y - 6 = -2*z. Suppose y*s + k = -717, -2*s + 5*s - 3*k + 549 = 0. Let h be s\/280 + (-2)\/4. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620784 divided by 34488?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 + 1. Let h = -0.04 + 0.06. Let d = h - 2.02. Put a, 1, d in decreasing order.\nAnswer: 1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 44*k**3 + 0*k**3 + 78 + 22*k**3 - 2*k**2 + k**4 as y*k**2 + l*k**4 + t*k**3 + d + f*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eve when three letters picked without replacement from vvoevvvevevvvvovvv.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 28229945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 642 + -638. Calculate the common denominator of (109\/1)\/(14 - (j - -16)) and 95\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 40 = -7*h + 11*h, 5 = -y - 4*h. Solve 3 = -2*q + y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 - 385 = 18*y + 47*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-50)*15\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 843 - 813. Let o be -25*((-222)\/w + 5). Suppose x = 5*s - 2 + 13, 2*s = 3*x - 98. Calculate the greatest common factor of x and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 0. Let x be (-4 - ((-45)\/(-2))\/(-9))*2. Put s, -9, x in decreasing order.\nAnswer: s, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Let g(l) = -3*l - 7. Let i(y) = -4*g(y) + 14*o(y). Let d(x) = 486*x. Calculate i(d(t)).\nAnswer: -972*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460457 or 460451?\nAnswer: 460451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:06 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from caoccaacaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 7*a**2 + 8. Let l be t(-7). Let v = 6 - l. Let c be v\/(-1 - (1 + -3)). Is 2\/11 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/25)\/(6\/60). Suppose -n + f*d - 17 = 1, 2*d - 12 = -n. Solve b + 8 = -2*x, -n*x + x = -b - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115 + 166. Let w = 53.01 - 2.51. Let b = x - w. What is the third biggest value in -0.1, 0, 0.3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060979 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -21056, -4, -1, 5.\nAnswer: -21056, -4, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, 0.3, 27532, 3, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -32575*d - 24. Let k(s) = -10858*s - 8. Let r(j) = 2*c(j) - 7*k(j). Let f be r(7). Round f to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*o - 1968 = 28*o - 108*o. Let h(u) = 11*u**3 + 2*u**2 + 57. Let g(y) = 4*y**3 + y**2 + 19. Calculate o*g(s) - 3*h(s).\nAnswer: -s**3 + 2*s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 361*k**2 + 211 - 8 - 364*k**2 + 90 as o + i*k + f*k**2 and give o.\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 107*p**2 - 16 - 13*p - 105*p**2 as k + o*p**2 + r*p and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + 0.06. Let r = -0.08 + o. Let d = -418\/5 - -84. Sort r, d, 2 in decreasing order.\nAnswer: 2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28*27\/(-1512)*-1*(43 + -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/11)*h)\/h**(-7))**(-17) assuming h is positive.\nAnswer: h**(-1581\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppeepeeeeeeepeeeeeee. Give prob of sequence pe.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*x + 42. Calculate the highest common factor of x and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1.9, -4, 79, 0.1?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 5633 = -1673. Does 55 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + (2 - 1 + 0)*(-3 - 1 + 2))*(-6*r**2 + 4*r**2 - 4*r**2) + 0*r**2 + 2*r**2 - r**2.\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469256 = 157*a - 458894 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/75 - y**4\/2 + 36*y**3\/5 - 2150*y**2. Factor p(a).\nAnswer: -4*(a - 3)*(a + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from {i: 2, x: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7841a37 (base 11) to base 14\nAnswer: -1b7d172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-174)*(-24)\/(-16))\/(89\/178).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 22. Let m(q) = -q + 1. Let w(i) = -6*i - 21. Let z(o) = 18*m(o) - 2*w(o). What is the tens digit of z(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 + 6*g - 2. Let v(o) = -o**3 + 13*o**2 + 14*o - 6. Suppose -23 = 3*k - 35. Let h be k + (-3 + 13 - 0). Let j be v(h). Determine i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 14*z**3 - 220*z + 33*z**3 - 49*z**3.\nAnswer: -2*z**3 - 220*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 281389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 + -155. What is the remainder when y is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8700?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*d - m, -4*d + 70*m = 67*m - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z + 399 + 1226. Let u = 128 + z. Suppose 4*y = u*n - 335, n + 5*y - 290 = -2*n. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.12*17564.5\nAnswer: 54801.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2446 = 3*j + 2*p, 4*j + 5*p + 3734 = 468. Let y = 816 + j. Solve y*n + 30 = 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*t - 605*t + 198*t + 199*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/5, -9, 35, -2\/9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/3476088 and -151\/248292?\nAnswer: 3476088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 - 9*v - 5. Let r be d(-8). Let f(n) = n**2 + 4*n. Let h be f(-5). Suppose 5*y - 4 - 65 = r*z, h*y - 54 = -2*z. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, 1, 24, 67, 136, 237, 376, 559?\n\"Answer: s**3 + s**2 - s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*x + 3, -2 = -7*l + 2*l + 2*x. Suppose l = 19*h - 20*h + 94. Is 38 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 8 - 19)*(3*j - 4*j - j).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -686*g**6\/15 - 637*g**5\/5 - 126*g**4 - 184*g**3\/3 - 16*g**2 + 4*g + 1. Factor l(p).\nAnswer: -4*(p + 1)*(7*p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 13.1. Let u = 2.03 + b. Let o = -0.1299991 + u. Round o to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -183.4343 + 0.1343. Let u = -176 - z. Let t = -7 + u. What is the fourth biggest value in -2\/23, -3\/2, t, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -987*y + 987*y - 6*y**2 + 11*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296341245 divided by 637293.\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**7\/105 - z**6\/30 + z**5\/30 + 1771*z**3\/3 - 2426*z**2. What is the first derivative of c(j) wrt j?\nAnswer: 8*j**3 - 12*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (-23238)\/(-171)) + 3. Let q = s - -126. Let h(j) = -j + 11. Let y be h(7). Put -12, y, 3, q in descending order.\nAnswer: y, 3, q, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/((-6)\/42) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + (14 - (-3 - -10)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f + 19. Let x = 16 + f. Suppose -x*g - 3*y + 64 + 80 = 0, 2*g - 4*y = 50. List the prime factors of g.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -209 + 44. List the prime factors of 8\/(-10)*c\/6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 721.082 + -722. Let u = 0.082 - c. Let m = 1 + -0.8. What is the closest to u in 4, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*j + 9 = -j, 4*h = 3*j - 7. What is the lowest common multiple of h and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8486473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = 4*n + 1, -l + 11 = -5*n. Suppose 0*s + 3*s - 6 = 0. Let d(z) = -9*z**2 + 45*z + 3. Let v be d(5). Sort v, s, n.\nAnswer: n, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1123, -1686, -2629, -3952, -5655, -7738?\nAnswer: -10201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1933, 1, 4, -8 in descending order.\nAnswer: 1933, 4, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 67, 72, 77?\n\"Answer: 5*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36118 and 683.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27745 (base 12) in base 11?\nAnswer: -38053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = -2*d, -4*t + 3*d + 17 = -3*t. Let u = -8 + 4. Put t, 3, u, 1 in increasing order.\nAnswer: u, 1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d + 42*d = -1830. Let t = -176 + d. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 2023130130?\nAnswer: 2023130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**4\/6 + 18*b + 4. Let g(l) = 4*l**2 - 3*l**2 - 4*l**2. Calculate g(m(w)).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(228)\/(-2*sqrt(12)))**2 + sqrt(152)\/(sqrt(8)*-1) + (0 + sqrt(19))*1.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-23))\/((-1030)\/(-4738)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:28 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -205 > -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/38*(-600)\/(-900)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**2 + 0 + 24*q + 1\/6*q**3. Let x(o) = 17*o**2. Determine u(x(l)).\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:37 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/45 and (-5 + (-4 - 1924\/(-216)))*26.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*g - 4*r, -4*g - 3 = -2*r + 1. Let j(b) = 17*b. Let h be j(g). Let n = 32 - h. Solve -2*f + 7*f + n = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 315. Let t(a) = -161. Determine -5*t(f) + 3*z(f).\nAnswer: 9*f - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*a = -2*a + 20, 4*a = 8. Let q(f) = -f - 14. Let c be q(v). Let g be (c\/(-4))\/(2\/72). Is g < 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 74*f**3 - 10*f**2 + 9*f + 3. Determine n(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1. Let j(k) = k**2 + 2*k - 3. Let a be j(-4). Let m(l) = 141 + 8 - 142 - l - 6*l**2 + 3*l**2 + l. Give a*w(i) - m(i).\nAnswer: 3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*(k*((k*k**(-1))\/k)\/k)\/k*k**(-2\/15)\/k**0 assuming k is positive.\nAnswer: k**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.043 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h - 5*p, -4*h + 9*p + 22 = 10*p. Let v(s) = 3*s + 11. Let f(r) = 3*r + 10. What is h*f(m) - 5*v(m)?\nAnswer: 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19517 + -409778\/21. Calculate the common denominator of -28\/75 and w.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 571 + -572. Let t(m) = -1302*m**3 + 4*m + 3. What is the units digit of t(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p**3 + 9*p**3 + 6*p**2 + 8*p + 4 - 6*p. Let f(n) = -n**3 + 7*n**2 + 3*n + 5. Give 4*f(l) - 5*o(l).\nAnswer: l**3 - 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00389082 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -452.6 + 427.655. Let y = i + 25. Round y to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9836, 18623, 27408, 36191, 44972, 53751, 62528?\nAnswer: 71303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3120426843, 3120426844, 3120426845, 3120426846, 3120426847, 3120426848?\n\"Answer: m + 3120426842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*14 + (18 + -34 - -16). Solve y = 15*r - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**3 - 9*l**3 - 12*l**3)*(-23*l + 28*l + 20*l) to f*l**3 + o*l + g + s*l**4 + n*l**2 and give s.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -59078.7053 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**3))**(43\/5) assuming l is positive.\nAnswer: l**(-129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 14) in base 2?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:50 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/14)\/i**(-1\/17) assuming i is positive.\nAnswer: i**(31\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56389*d**3*u**2 - d**3*u + 9*d**3 + 3*d**2*u**3 + d*u - 2*u + 83455 wrt u?\nAnswer: 112778*d**3 + 18*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*j = 1136*j + 42370 - 8962 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 0, 2*j - 4*o + 2 = -8. Let v be -1*(8\/j - -1). Let y = -2\/3 - -13\/6. Put v, 0, y in descending order.\nAnswer: y, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 600.56 and -11?\nAnswer: -6606.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -119*d. Let s(n) = -6512*n**2. What is p(s(w))?\nAnswer: 774928*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6.8, 42, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**2 + 2*t. Suppose -134*i + 128*i + 18 = 0. Let p(w) = 9*w**2 - 3*w. Calculate i*l(z) + 2*p(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8115 by 1681.\nAnswer: -8115\/1681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-756)*(-651)\/186?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -11 - (-7 - (55 - 63)) - (1 + 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 246468 divided by 47\nAnswer: 5244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -93614800 rounded to the nearest one hundred thousand?\nAnswer: -93600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2))**(-25))**(-35)*(h\/((h**2\/h)\/h))\/((h*h\/(h\/(h*h**3)*h))\/h)*h**7\/(h*((h\/h**(2\/11))\/h)\/h) assuming h is positive.\nAnswer: h**(-9568\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-6) - ((-3213)\/(-81) - 39).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20031000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - a)*(1 + 3 - 3) - 5*a - 9*a + 3*a + 2 - 3 - 4*a + 3)*(-3 - 3 + 4)*(-4*a + a + a).\nAnswer: -64*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -67. Calculate the remainder when 66 is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4897, -2, -480?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871*r + 2124*r - 379*r - 873*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -483, -7, -2, 3, -498 in decreasing order.\nAnswer: 3, -2, -7, -483, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 + 217.9999741. What is s rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(52\/12 - 3). Let m(d) = s - 4 - 24*d**2 + 22*d**2. Let f(y) = -y + 2. Let h(q) = -5*q + 11. Let j(c) = 22*f(c) - 4*h(c). Give m(j(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -20\/9*d**3 + 0*d**2 - 2*d - 1\/36*d**6 + 2 + 25\/36*d**4 + 7\/24*d**5. Factor s(n).\nAnswer: -5*n*(n - 8)*(n - 1)*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 6)*2 + -4. Suppose -w + 10 + 15 = o. Solve -w = 6*g - g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let g be q(-1). Suppose -g*f + 4*f - 34 = 0. Let i = -10 + f. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 16 = -2*v + 3*v, 0 = 3*v - 5*a + 47. Which is bigger: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*l*p*r - f*l*r - 2*f*l + 3*f*r + 14*l*p - 3423*l*r - 4*l + 3827*p wrt r.\nAnswer: 4*f*l*p - f*l + 3*f - 3423*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n. Let r(w) = -83459*w + 1. Give d(r(g)).\nAnswer: -250377*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(0\/26)\/4. Suppose -r - 2 = 5*h, 3*h = -4*r - h - 72. Sort -1, x, r.\nAnswer: r, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/8 and ((-2)\/(-8))\/(20\/152).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**15)\/((r*(r\/r**18)\/r*r)\/r))\/(r**(-6\/5)*r*r**(-3)) assuming r is positive.\nAnswer: r**(181\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxuquuuuuaakukqaua. Give prob of picking 1 u and 1 a.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 8:47 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2103, -4211, -6323, -8439, -10559?\n\"Answer: -2*t**2 - 2102*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w**2 - 10*w + 11. Calculate the remainder when 63 is divided by i(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, 5, 33, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -1)*(-146 + 145). Let w = -2.3 + 2. Put 2, -1\/2, w, q in decreasing order.\nAnswer: 2, w, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/2)\/p)\/(p*p*p**19\/p*p))**17)**(6\/17) assuming p is positive.\nAnswer: p**(-123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 + 4*b**3 - 5*b**4 + 30*b**2 + b**3.\nAnswer: -5*b**2*(b - 3)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64754244773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/40 and 73\/180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b**4 - 92*b**3 + 184*b**2 + 34*b + 18435 wrt b.\nAnswer: 180*b**2 - 552*b + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 28*c - 32*c - 30 = 0, 5*y - 5*c - 35 = 0. Solve 5 = -5*p - 4*z, -2 = -0*p + 2*p + y*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303 (base 4) to base 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -215 + 13?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.1, 2\/883, -1?\nAnswer: 2\/883","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117345.37 - -116819. Let w = x - -521. Let c = -0.37 - w. What is the third biggest value in c, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w\/w**4)\/w*w*w)\/((w**(4\/9)\/w)\/w)*(w*w*w**(-1\/4))**7)\/((w*w**8)\/((w*w**0*w)\/w)*(w\/w**9)\/(w\/w**7)) assuming w is positive.\nAnswer: w**(281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, s: 3}. What is prob of picking 1 m and 2 s?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.07 (b) 2\/5 (c) -1\/8 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.545 + -0.585. Which is the second smallest value? (a) -9 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 769138684.443 - -1.69.\nAnswer: 769138686.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 570301219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*x**2 + 5*x**2 - 7*x**2 + 8 with respect to x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293839.9 litres in millilitres?\nAnswer: 293839900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 124, 153, 202, 277, 384, 529?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 0 - (30 + 2 + 22 - -13).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - m = -46, -13 = -y - 3*m + 4. Is y\/((-66)\/31446)*(-4)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/7 + 38982*i**2\/7 - 77950*i\/7 - 116934\/7 = 0.\nAnswer: -1, 3, 19489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13446367.\nAnswer: 11, 111127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-224)\/(-196) - (-138)\/14. What is the biggest value in -0.4, u, -0.32?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 3*r. Suppose r*t - 428 = -2*t + 5*n, 2*t - 212 = 3*n. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4522.859142 - 153.376.\nAnswer: -4676.235142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -788 + 2313. Let a = 50 + -45. Suppose o = a*k - 60. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*q - 459 = 493 - 442 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1\/60*p**4 + 1\/30*p**3 + 0 + 13*p + 1\/5*p**2. Determine x, given that b(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3 - 8 = j, 4*h - 25 = -j. Let t(y) be the third derivative of -1\/90*y**5 - 4\/9*y**3 + 0 + 0*y + 1\/9*y**4 + h*y**2. Find s, given that t(s) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from krkkrkkkkbkkkerrbkk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -264 + 50528?\nAnswer: 50264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 8:57 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663.7 - -668. Which is the smallest value? (a) -3\/8 (b) w (c) -3 (d) 2 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - v - 15 = 0, -3*z = v - 0 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = q - 105 - 1, -635 = -5*q + h. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/22)\/(11*(-8)\/(-484))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145813500 to the power of 1\/2, to the nearest integer?\nAnswer: 46323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -4*m**7\/105 - m**6\/30 + 2*m**5\/5 + 7*m**4\/6 + 4*m**3\/3 - 5*m**2. Suppose w(j) = 0. Calculate j.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**4 + 1018*u**3 + 12600*u**2 - 779764091*u?\nAnswer: -12*u**2 + 6108*u + 25200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k + 8. Let x be v(0). Is (-3 - -1)*(-36)\/x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6327*l**3 - 60*l**2 - 3756*l**3 - 47*l + 134*l**2 - 67*l**2 wrt l?\nAnswer: -60498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 740 = 15*j. Let g = -14 + -28. Let u = g - j. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10560*m + 10566*m - 3*j - 24 = 0, -m + 4 = -3*j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 5123496.\nAnswer: 97346424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3915 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 16\/3*z**3 + 2\/3*z**4 + 12*z + 14*z**2 = 0. What is z?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, 4*o = 2*t - 3*t + 79. Suppose 3*b = 68 + o. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*m - 1017*m + 30111 = 11343 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 + 3 - y - 4*y**2 + 5*y**2. Suppose 14*i - 16*i = 4. Give t(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.015661 (b) -1 (c) -4\/15 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108603076*z**4 + 1383*z + 4568?\nAnswer: -1303236912*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -22?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 631 + -376. Let m = z - 764\/3. Suppose -1\/3*c**2 - m*c**4 + c + 2\/3 - c**3 = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511410 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5ab447 + -17?\nAnswer: 5ab430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(72)*1 + sqrt(72))\/sqrt(4))\/(sqrt(9) - -2*sqrt(1296))*4)**2.\nAnswer: -1122\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2)\/9*-849. Let t = o + -296. Suppose -4*x = -7*x + t. Is x a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 135*l - 7462. Determine z(93).\nAnswer: 5093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16176190 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -282? (a) -1\/21 (b) -53 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b = 47*b + 179. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 4*y + (3*y - 2*y + y)*(-3 + 1 - 1)*(8 - 2 + 1) to the form x + v*y and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y + 2762. Let v(l) = -300*l - 74570. What is 55*p(b) + 2*v(b)?\nAnswer: 5*b + 2770","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14044557.\nAnswer: 3, 4681519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 8*k + 21. Let f be n(-11). Let d = f - -19. Which is greater: 9 or d?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3183 + 6144. Is 89 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/(-258))\/((-16)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*t - 21046, 30*c - 42084 = 26*c + 5*t. What is the ten thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, -3 in ascending order.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 372 + 103. Suppose -4*l - 3*q + 78 = -u, q + 38 = l. Find the second derivative of 3*v**4 - l*v + 47*v - 10*v**4 wrt v.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -1. Let c = -2 + 2.06. Let a be (-4147)\/174 + 23 - 475\/(-450). What is the closest to 2 in v, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2828012703 to the nearest 1000000.\nAnswer: 2828000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 4*y - 23, 5*m - y = -0*m + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1954?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45 + 17*w**4 - 27*w**2 - 151 + 3*w**3 + 25 - 3*w**3 wrt w?\nAnswer: 68*w**3 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64740454223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/9 + 2 + (-10)\/(-15). Solve -2*w + w - 2 = p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54.87 + 55. Round r to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, 19, -2.\nAnswer: -2, -1, 19, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1119715 - 343352. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 + 1214057\/93392)*(-6 + 2). Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 16, y: 4}. Give prob of sequence hh.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 3*y**2 - 6*y - 5. Suppose -5*h - k + 3 - 12 = 0, 5*h + 12 = 2*k. What is the smallest common multiple of (-4)\/(-8)*h - -2 and o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(-5*sqrt(720))\/sqrt(9))**2.\nAnswer: 90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 49.6, -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5039755123.\nAnswer: 13, 387673471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/12)\/((-1)\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(-45))*h**(-28)*h**(-4)\/(h\/(h*h**(-37))) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/5 + 242*l**2\/5 + 739*l\/5 - 196 = 0. What is l?\nAnswer: -4, 1, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 6*v**2 - 4*v - 10. Let l(i) = -i**3 + 4*i**2 + 11*i + 13. Let q be l(6). What is g(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -1.3. Let o = 27 - 28. Let h = s - o. What is the third biggest value in h, -0.5, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dc (base 14) in base 12?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 + q**3 + q**2\/2 - 7*q. Give k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 6, z: 1, l: 1, s: 4}. Give prob of picking 2 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 62468973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2) + -2 - (5 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(5\/(-50)). Suppose -2 = a - f, -a + s*f - 9 = 9. Let r be 5\/3*6\/a. Sort 1, r, -5 in decreasing order.\nAnswer: r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 - -64) + -11 + -12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 146, 145, 144, 143, 142?\n\"Answer: -z + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*k - 68*k + 1820 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 + 2281180*p**4 - 6843570*p**3 + 6843580*p**2 - 2281195*p = 0. What is p?\nAnswer: -456239, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507.\nAnswer: 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -9 - 11. Let t be s*2*1\/2. Let q(f) be the third derivative of f**3\/6 - 12*f**2. Let a(y) = y**2 - 2*y - 3. Calculate t*q(x) - a(x).\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 307*t**2 - 740*t + 2253. Calculate n(-151).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oto when three letters picked without replacement from otooototooottooo.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 458341106 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6240*i**3 - 2*i**2 - 59*i - 56. Let c be k(-1). Calculate the highest common divisor of c and 158.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + (-204)\/24. Let x = w + 16. What is the greatest common divisor of x and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/((-657)\/(-511))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3)*w*w*w\/(w**(2\/7)*w))\/((w\/(w\/w**(-1)))\/w)**(-4))\/((w**(-1)*w*w)**(-4\/23)\/(w**(-5\/4)*w**(2\/3))) assuming w is positive.\nAnswer: w**(-5207\/1932)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = 5*f - 9184, -3*f = -3*p + 13797. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + i. Let u be q(0). Suppose y + 6 = -y. Suppose 3*z = 3*j - 12, -3*z - 4*j = z. Put y, u, z in increasing order.\nAnswer: y, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458295?\nAnswer: 5, 53, 5503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 57. Let w = q + 23. Is 4 a factor of (-6 + 25)*(-1)\/w*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21116 or -23?\nAnswer: 21116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -5.1. Let x = -1 + -1. Let i = j + x. Which is the closest to -1\/4? (a) -1\/4 (b) i (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q**2 - 2*q + 3. Give n(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 - 3697*r**2 - 473*r - 2 wrt r.\nAnswer: 20*r**3 - 7394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -12. Let n = 11 - r. Suppose n = 3*c + 5*j - 71, -5*c - 2*j = -3*c - 50. Solve 0 = -5*f - 3*g - 5, f + 0*f - 5*g = c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42524912 divided by 2657807.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = u + 4, 3*u + q = 3*q + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 18 - 3*m**2 - 30 + 14*m**2 - m + m**3. Let d be b(-11). Sort 3, 1, d, 0.\nAnswer: d, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:46 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r + 250 = 34 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 42\/(-8). Suppose h = 4*o - 23. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/2)\/(-11)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2072.\nAnswer: -10360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 26. Let q be h(7). Suppose -a = a - q. Solve -w - a = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + (0 - -2)) - (-232 + 243).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54630 + 54630 + 30*x**3.\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4*n + 21011 + 313, 0 = f + 3*n - 10682. Round f to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 9 - (2 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22035 (b) -0.2 (c) 1.702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*t*x**2*z**3 - t*x**2 + 5*t*z - 6*x**2*z + 8*x*z**3 wrt t.\nAnswer: -11*x**2*z**3 - x**2 + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) + -4 + 11. Let a be ((-14)\/3)\/(i\/15). Let v(l) = l + 8. Let m be v(a). Solve -c - m = -5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(850)*-2)\/((sqrt(4)*1)\/sqrt(2)))**2*4*-2.\nAnswer: 54400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 208\/24 - (-5 - -6).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*t = 3*t - 144, 0 = -t + 4. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 435 = 30*t. Calculate the common denominator of 27\/20 and (-4 - -3) + (t\/(-36) - -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13))**(4\/15)\/(x**24\/(x**(-26)\/x)) assuming x is positive.\nAnswer: x**(-817\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 17*a - 12. Let s be l(-17). Is (-8)\/s*-3 - -1279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43162 is divided by 1987?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 584 - 569. Calculate the remainder when 104 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/44242380 and -157\/17082?\nAnswer: 44242380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 1 - 3*n - 2*n + (2*n - 4 + 4)*(3 - 1 - 3).\nAnswer: -4*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let o = 75 - 53. Let f be -1 + o\/8 - m. Which is the second smallest value? (a) 5 (b) -0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-20)*3)\/((-1)\/((-20)\/6)). Solve 4*f - p + u*p = 31, -p = -4*f + 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607824629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 12568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*d**3 + 17*d**3 - 26*d**3.\nAnswer: -94*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1178, -1176, -1164, -1136, -1086?\n\"Answer: a**3 - a**2 - 2*a - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123719.71 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l + 11. Calculate r(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 171 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-6)\/(-20)*1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + p + 10 = 2, 4 = -2*q - 3*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 47 = -75 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + q + 4. Let z(x) = -4*x**2 - x - 5. Let l(k) = -5*r(k) - 4*z(k). Determine l(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/5)\/((-8)\/(-67880)) - -3. What is the first derivative of -72 + r*g + 65*g**4 + 40*g**4 - 1700*g wrt g?\nAnswer: 420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -7 - (94 - 146).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 - 3033*s + 4056.\nAnswer: 3*s**2 - 3033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:58 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -2 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 7 = 37. Suppose 0 = 5*t - 5 - 20. Suppose -t*f = 16 + 4, 19 = 3*q - f. What is the lowest common multiple of q and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 1 - (4 - 1)*-3. Suppose 0 = -t*d + 5, 0 = -3*s + 4*d + d + 16. Solve 5*i - 3 = s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*u - 5 = 5, 4*m - 6 = -2*u. Solve q = -4*w + 17, -17 + 6 = -m*w - 3*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -25. Let l(m) = 539*m. Let q(j) = 3233*j + 8. Let o(b) = 6*l(b) - q(b). Calculate o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2538*y**3 + 685*y**3 - 2241*y**3)*(2*y + 4*y - 5*y)*((-5*y + 4*y + 2*y)*(-4 + 5 + 0) + (2*y - 3*y + 2*y)*(-4 + 4 - 1) + 36 + 8*y - 36).\nAnswer: -32752*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-132) + (-2)\/(-4). Let p(b) be the first derivative of 49\/12*b**4 + 0*b + 28\/9*b**3 + k*b**2 + 4. Factor p(l).\nAnswer: l*(7*l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 27. Suppose v = 2*c - c - 18. Calculate the smallest common multiple of c and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 = 7*u - 4017. List the prime factors of u.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53081240 is divided by 692.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156250 (base 8) to base 7.\nAnswer: -323455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*l = -9230, -b - 2*l + 662 = -1647. Suppose 0 = -52*u + 47*u + b. List the prime factors of u.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/42*4)\/(((-112)\/588)\/(-4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1208 and 453?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40521 (base 13) to base 15.\nAnswer: 24196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/10 and 143\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048063 to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4. Let b be 7\/5 + (-9)\/(-15). Let s = 5 - b. Is v(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 3*s - 3. Let g = 4 + -1. Let j = g - -17. Suppose -n + j = 4*n. What is r(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4117985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 6*q**2 - 5*q - 5. Suppose 0 = -3*x - 0*x + p + 4, 2*p + 8 = 2*x. Suppose x = 3*s - 6*s. Suppose -6*a + a + 35 = s. Give k(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334159414?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000352298604 rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360.2 - -360. Which is the nearest to p? (a) -1\/4 (b) 1 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34993, -70000, -104989, -139960, -174913, -209848?\n\"Answer: 9*n**2 - 35034*n + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-54)*-12)\/(-4). Put 2\/5, 4\/3, t, 2\/13 in decreasing order.\nAnswer: 4\/3, t, 2\/5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 + 10)*(g + g + 0*g).\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axrraccraracaa. Give prob of picking 1 x and 2 a.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -34) + (-3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*l*u - 1028*b*l + b*u + 4*b - 6640072*l - 2*u wrt b.\nAnswer: -l*u - 1028*l + u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/1148264 and -77\/15.\nAnswer: 17223960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 14. Let k be r(8). Let m = 3 - 4. Let i be (-33)\/(-12) + m\/(-4). Solve -3*a = k*u - 5, i*a = u + u - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12690432 and 148716.\nAnswer: 38071296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2e4b4 (base 16) to base 13\nAnswer: -68402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -832258.\nAnswer: 5\/416129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 273 + -299.75. Round u to 0 dps.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 84*d**2 - d + 1. Let c be h(1). Let v = c + -248\/3. Sort 1\/9, -2, v.\nAnswer: -2, 1\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + -4*-4*sqrt(110))) + (2*-3*sqrt(110) - sqrt(110)))\/(4*sqrt(250)*3*-1).\nAnswer: 23*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -36*w**3 - 3*w + 2. Let p be i(-2). Let g = p + 155. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 9:39 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 65361, -0.3, 0, -5, -69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444792 and 593056.\nAnswer: 1779168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.934 - 0.066. Which is greater: o or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1 + (-2 - 0). Suppose -20 = -c*x + 4*x. Suppose 0 = 2*d - 2 + 10, 0 = 2*q + 4*d + 16. Sort 1, q, x in descending order.\nAnswer: 1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/16)\/((-15)\/1785). Which is smaller: -60 or m?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.278 - -1.18. Which is greater: 1\/2 or i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 7. Suppose k + 0*q - q - 8 = 0, -p = 3*q. Solve -4*v + 3*z + 4 + k = 0, 5*z - 14 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -249\/32 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9589*c**3 - 30*c**2 - 9572*c**3 - 141*c**2)*(3*c + 2*c**2 - 3*c).\nAnswer: 34*c**5 - 342*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -17. Let q be 23\/5 + 2\/d. Let x = q - 1. What is the smallest value in 0.1, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1453*d + 44*d**2 - 160*d**2 + 38*d**2 + 41*d**2 + 39*d**2.\nAnswer: 2*d**2 - 1453*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 12 = -2*p, 2*p + 2*p + k = -24 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 times 1.9?\nAnswer: -163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(0 - 4 + 0)*(1047 + 1170 - 907)*(0*u**2 + 2*u**2 + 2*u**2) as x + s*u**2 + i*u and give s.\nAnswer: 20960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -32*u + 262 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 21\/(-12))*-12. What is the third derivative of -114*u**2 + q*u**2 - 2*u**3 - 6*u**5 + 19*u**3 + 5*u**5 wrt u?\nAnswer: -60*u**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 942.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/2 + 3905*o**3 - 15186417*o**2\/2 - 122242120*o - 489970208.\nAnswer: -(o - 3913)**2*(o + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 0.2, 0, 5, 39 in decreasing order.\nAnswer: 39, 5, 0.8, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 5*c**2 + 4*c - 4. Let d be t(3). Suppose -d = -4*p - 9. Solve -j - 4 = p*v + 7, 4*j = v - 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54036552 divided by 344\nAnswer: -157083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-247)\/(-78) + 1 + -4. Let y(p) be the second derivative of 0 + 0*p**3 - 1\/2*p**2 + v*p**4 + p. What is the derivative of y(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24)*(-12)\/(-15).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:06 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44559 or 0.0007?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 451 + 435. Let k(i) = 11*i - 50. Let p be k(r). Which is the third biggest value? (a) -0.2 (b) p (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4\/((-4)\/(-1))). Let s(h) = h - h + 6*h + u*h. Let j(v) = v - 3. Let i be j(4). What is s(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7851.74 micrograms in tonnes?\nAnswer: 0.00000000785174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - b. Let i be h(3). Let v be 13\/2 + i\/20. Let y = 10 - 7. Solve -2 = -v*w + y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 15. Sort 3\/4, -0.4, 2, x in increasing order.\nAnswer: x, -0.4, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/23056 and 97\/792.\nAnswer: 207504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -148423 - 206?\nAnswer: -148629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 - 183\/27. Let y be s*(1 + 0 + -2). Let u(f) = f**2 + 14*f + 52. Let j be u(-5). Calculate the greatest common factor of j and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**2 - 20*c - 8. Let u be (1\/1)\/(-2 + 216\/104). What is the units digit of k(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1311 times 0.8?\nAnswer: 0.90488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-9)*(-4 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*38.892\nAnswer: -194.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(0*n + n + 0*n)*(0 - 2*n + 0)*(2*n**3 + 3*n**3 - 2*n**3).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -22*6\/(-20) - (-27)\/(-45). Let w(u) = -u - r + 0 + 3 - 4. What is w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:12 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8036814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -693 (base 10) to base 6\nAnswer: -3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 10*y - 2. Let u(q) = -3*q**2 + 8*q + 7. Let j be u(4). Is 15 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*p = -526*p - 38 - 456 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*k + 2*d, 5*k - d - 5 = k. What is the remainder when (-7)\/4 + 8\/(-32) - -3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68123 and 83611?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (617 - 458 + 2*r + 313)*(r + 3*r - 5*r).\nAnswer: -2*r**2 - 472*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*x**5 - 45136*x**4 - 167188*x**3 + 3494336*x**2 + 15838416*x - 1192320 = 0. What is x?\nAnswer: -414, -8, -5, 2\/27, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 421412481 to the power of 1\/2, to the nearest integer?\nAnswer: 20528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1 + u**2 - 5*u + 7 - 2 + 0. Suppose -5*i - 42 = -12*i. Give x(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1253663*t**2 + 11*t - 1. Let m(a) = -7*a. Calculate m(d(h)).\nAnswer: -8775641*h**2 - 77*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + o + o = 8*o + 12, a - 24998 = -5*o - 25022 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -7, 1337 in increasing order.\nAnswer: -7, 8, 1337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:06 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*v + 13 - 4, 0 = -5*v - l + 24. Let j be 1\/((-1)\/(-7)) + 1. Let u = 22 - j. What is the remainder when u is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1918 and 0.027?\nAnswer: -51.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17523 (base 8) in base 14?\nAnswer: -2ccb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20581736*q**2 + 31252466*q wrt q.\nAnswer: -41163472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/165 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, 3, -5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 + 32. Suppose -5 - 1 = n*g, 4*t - 4*g + 184 = 0. Let q = 80 + t. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 - (-78 - -174)) + 0 + 6\/(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -41 - 70 - 24*y**3 - 65 + 9*y**2 - 9*y**3 + 173. Let i(c) = 8*c**3 - 2*c**2 + 1. What is -9*i(h) - 2*w(h)?\nAnswer: -6*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + 55. What are the prime factors of (-2)\/(-6) + f\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*k = -80 + 25, 5*v - 2*k = 73. Suppose -10*n + 5*n + v = 0. What is the units digit of (5 - n)*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 6*b**2 + 7*b + 5. Let q be (-1 + -4)*(-24)\/60. Suppose 2*y - 12 = -5*k + k, 3*y + q*k = -2. Give z(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let d be f(-4). Suppose 2*x + 152 = -2*x + 4*w, -3*x - 84 = d*w. Let m = x - -53. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41672\/9 != 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*f + 334*f - 90 = t, 75 = -4*t - 5*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2692373, 2692589, 2692805, 2693021, 2693237?\n\"Answer: 216*i + 2692157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 2492 + 6088. Suppose 480 = 7*f - m. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-3)*20\/(-30). Solve 3 + q = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**3 - 15*a**3 + 26*a**3 + 19*a**3.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(39) - sqrt(624))\/sqrt(3))**2 - (2*sqrt(13)*2)**2) + 2 + ((2 + sqrt(26)\/sqrt(2) + sqrt(13))**2 - (sqrt(13) - (-3 + sqrt(1573) - sqrt(13))))).\nAnswer: -72 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5829*s**2 + 279777*s - 720.\nAnswer: 3*(s + 48)*(1943*s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**5 + 3*r**4 + r**2. Let l be (8\/10)\/(8\/(-20)). Let p(i) = i**5 - i**4. Let o(a) = l*s(a) - 6*p(a). What is the third derivative of o(x) wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 561.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2045, 4063, 6069, 8057, 10021?\n\"Answer: -d**3 + 2025*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1985*g**2. Let n(p) = 2*p. What is n(m(t))?\nAnswer: 3970*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/41 or 603459?\nAnswer: 12\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(242) - sqrt(2)) + sqrt(2) + -6*sqrt(72) + sqrt(2) + sqrt(2) + (sqrt(16) + sqrt(192)\/(sqrt(120)\/sqrt(10)))\/sqrt(8))**2.\nAnswer: -42*sqrt(2) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.88 and -3?\nAnswer: 16.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.24675 decades to centuries.\nAnswer: 0.924675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**4\/2 - 49*q**3 - 18*q**2 + 49*q + 33\/2 = 0. What is q?\nAnswer: -1, -1\/3, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 59. Let o = 17391 + -17367. What is the smallest common multiple of o and r?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) - ((-1 + sqrt(468) - sqrt(468)) + sqrt(13))) + 1*sqrt(468) + 4)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozzg when four letters picked without replacement from {t: 3, x: 1, e: 2, g: 2, o: 1, z: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-224)\/(-5) - 6\/(-30). Let q = s + -26. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221977 is divided by 3083.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000560952746 to seven dps.\nAnswer: 0.0000561","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -2) + 0 + 1. Let f be 15\/4 - w\/(-12). Suppose f*m + 8 = k, 10 = 4*k - 5*m - 0. Solve k*t = -t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-2) - 1\/2. Suppose d - t = -d. Calculate the least common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 2*d**2 + 0*d**2)*(2*d**2 + d**2 - 5*d**2) + (19*d**2 - 12*d**4 - 19*d**2)*(-3 - 1 + 3) to r*d**2 + o*d**4 + i*d**3 + l*d + a and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 g, and 1 x when four letters picked without replacement from {l: 1, s: 2, g: 1, x: 7, i: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55158*h**2 + h + 119650 wrt h?\nAnswer: 110316*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 0.06, 2, -0.03, -0.04, -0.06, 1\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -136 - 3?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43673, -40271, -36859, -33431, -29981, -26503, -22991, -19439?\nAnswer: -15841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5275*q**2 - 707*q**3 + 454 - 454 - 5275*q**2.\nAnswer: -707*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4 + 4 = 0, -298*k + 293*k - 5*n + 186 = 41 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-569)\/(-27) - 11088\/528?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -66. Let q be ((-5)\/l + 3)\/(-1 + -1). Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089)*2)\/((sqrt(3) - sqrt(27)*-5) + sqrt(3)).\nAnswer: 22*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -896 + 895. Do -1\/1582 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2958 + 5?\nAnswer: 295d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**7\/2520 - q**6\/144 + q**5\/60 + 7*q**4\/12 - 2*q. Let u(h) be the third derivative of b(h). Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155931 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 25*r - 65. Let i(x) be the second derivative of 1\/42*x**7 - 1\/30*x**6 + 1\/12*x**r - 1\/20*x**5 + 2*x + 0*x**2 + 0*x**3 + 0. Factor i(d).\nAnswer: d**2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 2*b - 1. Let r be l(1). Suppose r*y = -y + 140. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 745*v**3 - 48460*v**2 + 230175*v - 274500 = 0.\nAnswer: 305\/149, 3, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833982.\nAnswer: 2, 191, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 32, 30, 28, 26, 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0542298 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76104846.\nAnswer: 2, 3, 103, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -282, -636, -1132, -1770, -2550?\nAnswer: -3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 73162 and 0.\nAnswer: 73162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 2*l + 558, -2*n - n + 837 = -2*l. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)*0\/10. Suppose 2*f = -3*n + 19, o = f - n - 2 - 5. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39.14 - 5.44. Let g = -46 + q. Let h = 12 + g. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3077, -3427, -4391, -6281, -9409, -14087, -20627, -29341?\nAnswer: -40541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70451 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*n**4 + 3*n - 450 wrt n?\nAnswer: 612*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/22)\/2 + (-4682)\/8976. Let p = -4\/51 - w. Which is the closest to p? (a) -0.4 (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -320382, -320383, -320384, -320385, -320386, -320387?\n\"Answer: -y - 320381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - j = 1 + 3, -4*h - 2*j = 8. Suppose -7*v + 1391 - 7313 = h. Let s = v + 1787. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*v + 110 + 11*v + 4*v)*(3 - 1 - 1) in the form q + p*v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89327 is divided by 805?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 6*t - 14*t**3 + 12*t**3)*(3*t + 2*t**2 - 3*t) + (-2*t**5 + 2*t**5 - t**5)*(1 + 2 - 1) - 2*t**5 - 5*t**4 + 5*t**4.\nAnswer: -8*t**5 + 12*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t**3 + 3 + 163*t**3 - 14*t**2 - 78*t**3 to o + p*t**2 + k*t**3 + a*t and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22054*m + 50573 wrt m.\nAnswer: -22054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l, -4*t = -0*l - 3*l - 121. Suppose -5*p + 4*z + 2 = -0*z, -4*z + 18 = 5*p. Solve -p*u - 5 = n + 8, -3*n - t = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2)*(-16)\/5. Let u(h) = -h**2 + 7*h + 10. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 309869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 506597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 190713, 762213, 1714505, 3047589, 4761465, 6856133?\n\"Answer: 190396*w**2 + 312*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-4 - -9)) + 4 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03802*-0.016.\nAnswer: 0.00060832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1156 + 1159. Let w(h) = -7*h - 3. Suppose -6*l - t - 13 = -l, -t - 3 = 0. What is the least common multiple of w(l) and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by -11003.\nAnswer: -46\/11003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/582 and -17\/66.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 15*v**3 - 933*v**2 + 206*v + 87. Is d(67) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3252 + 31?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/12 + -4 - (-2)\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**2 - 2307*g + 9481. Calculate j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 78 (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13122494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122567 is divided by 30640.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21102110 + 11?\nAnswer: -21102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.897 * 57.\nAnswer: 2046.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, 19, 2\/5, 2\/3.\nAnswer: -2, -2\/5, 2\/5, 2\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292545041.\nAnswer: 1063, 275207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 82\/3. Let n(v) be the first derivative of -v**2\/2 + v + 1. Let j be n(1). Is f smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3500 - -4162. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69733 = 3*r - o, -17 - 27 = 11*o. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 27*h + 1 + 15*h)*((-1 - 1 + 1)*(3 - 1 + 0) + (9 - 11 - 6)*(-2 + 0 + 0) + 1 - 5 + 5).\nAnswer: -45*h + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 10)*2\/2. Suppose -2*s - 3 - 17 = 2*x, -3*s - 25 = 2*x. Let u = y + s. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v, -2*t - v - 6 = -t. Let o be 2*7\/t*-5. Suppose 162 - o = 5*c. Is c a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*y - 8*y - 2*y + 108*y**2)*(-2 + 2*y**2 + 2) as c + k*y**2 + n*y + o*y**4 + d*y**3 and give o.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y - 2. Let u be i(2). Suppose 4*t = 2*q + 2, t + 5 = -5*q - 2*t. Let r = q - u. Solve -5*g - r - 4 = 0, -6 = v + 2*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - 8*j**2 + 8*j - 8. Let x(s) = 1 + 34*s**2 - 58*s**2 - s + 25*s**2 + s**3. Give -o(a) - 8*x(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(128) + 1 + ((-2*sqrt(10))\/sqrt(5) - (-5 + (-1 + sqrt(2))**2)).\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 6:03 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/(2\/24). Let g be (-22)\/y + 2\/9. What are the prime factors of 9 + -9 + (-16)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5460 (base 9) in base 11?\nAnswer: -3028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7\/(z*z**3))\/((z*(z\/(z*z**(2\/23)*z))\/z)\/z*z\/z**2)*(z\/(z*z*z\/z**(-3\/8))*z**(-2\/5))\/(z*z\/(z\/z**0))**25 assuming z is positive.\nAnswer: z**(-19953\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1211729*s**3 - 69*s + 31.\nAnswer: -7270374*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/84 and -85\/5432.\nAnswer: 16296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.181 in -361, -0.4, 4, -2, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 + 17?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -89, 1, 4 in increasing order.\nAnswer: -89, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7915398 and 53\/12?\nAnswer: 15830796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (6 + -2 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6656\/(-351) - -20)*33\/154 - (-156)\/(-621)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*r + 168, -2*z + 1 = -5. Calculate the remainder when 16\/(-104) - (-3243)\/r is divided by (-310)\/(-11) + 14\/(-77).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 250, -5, 3\/7, -2, 8\/3, 1\/4?\nAnswer: 250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3256 and 1.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494.17 + 494. Let q = 75 - 75.4. Sort -3, h, q.\nAnswer: -3, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 21*u**2\/2 - 2. Let g(m) be the third derivative of 0*m**3 + 1\/60*m**5 - 5*m**2 + 0*m**4 + 0*m + 0. Calculate l(g(i)).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8*y**(-6)\/y*y\/(y\/((y\/((((y\/(y**(-2\/5)*y)*y)\/y)\/y)\/y))\/y))*y**0)\/((y*y\/(y\/(y*y**(-2\/9)))*(y**1*y)\/y)\/(y**(-6)*y**(-6)*y)) assuming y is positive.\nAnswer: y**(-503\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(228))\/sqrt(6))\/(sqrt(32) + sqrt(192)\/sqrt(6)) + -1.\nAnswer: -15*sqrt(19)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/sqrt(300))\/(5*sqrt(4)\/sqrt(2)) + -3 + 3)*-3.\nAnswer: -3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:37 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*t - 16 + 3, 0 = f + 3*t + 7. Solve 0 = -6*y + f*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9026.329 decades in months?\nAnswer: 1083159.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 122, 136, 148, 158, 166, 172?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (-3*sqrt(78)*3)\/sqrt(6)).\nAnswer: -27*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100188 divided by 6?\nAnswer: 16698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-30)\/(-18). Let g be 2 + 8*8\/(-10). Let a = g - -107\/30. Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 19.63656 weeks?\nAnswer: 11876191488000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a decade in months?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -5*l - 7938 + 7879, 2*q + 3*l = -20 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 26 - (-3 - 0 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1507*s + 84 = 1513*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0*(-2)\/10. Let j be -1*(-5 + 3) - y. Is j at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -37*p - 38. Let t be w(-1). Let n(l) = -2*l - 2. Let g(x) = 1. Give t*g(d) - n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + 61 + 20 + -2 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h + 19. Calculate j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1080, 2160, 3240, 4320, 5400?\n\"Answer: 1080*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*c + 18, 2*c = -3*c - 4*h - 2. Let b = -4436 - -3492. Let z be (c - -4998)\/(2\/b). What is z rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 171*m**2 - m + 378*m**2 + 3 - 296*m**2 as r*m**2 + s*m + d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 142, 211, 280, 349, 418?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqqqqzqqq. What is prob of sequence qh?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 - 13*c**2 + 51*c - 63 = 0. What is c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 2\/(2\/(-9)). Suppose k = 4*d - t, -3*d + 4 = 1. Let g be (-2 - -12) + (-2 - k). What is the greatest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-5\/4)*g)\/(g*g*g**8*g))\/((g*g**(-17)\/g*g)\/(g\/g**(-10\/9))) assuming g is positive.\nAnswer: g**(409\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/13 - 92*b**2\/13 - 898*b\/13 + 992\/13 = 0.\nAnswer: -31, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/36947 (b) -0.9 (c) -0.1 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.69 and 0.3.\nAnswer: -3.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 + 35664*d**2 - 35524*d**2 - 148.\nAnswer: 140*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21619736, 172957868, 583732796, 1383662918, 2702466632?\n\"Answer: 21619733*a**3 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v - 74. Let t(r) = 26*r - 196. Let a(g) = -8*i(g) + 3*t(g). Give a(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-3) - (-8)\/(-12). What is the first derivative of 4*q**4 + 4*q**4 - 6 + 1 - 5*q**v wrt q?\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8*w**5 - 1886*w**4 + 2368*w**3 - 474*w**2 = 0.\nAnswer: -237, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40561651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 j when four letters picked without replacement from hhjhjhhjhj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 4997 - 5111 = 19*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**2 - 2*v**2)*((3*v**2 + 0*v**2 - v**2)*(-94 + 94 + 21*v) + 2*v**3 + v**3 - 5*v**3 + (-3*v + 3*v + v**2)*(4*v - 3*v - 2*v)).\nAnswer: -39*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 110 = 5*k, 3*k - 5*k - 2*a - 44 = 0. Let m = -18 + k. Let r be 4\/14 + m\/42. What is the second smallest value in 5, 2\/5, r?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/6))**(16\/5)\/(((v*v**(-1\/7)*v)\/v*v)\/v**(-6)) assuming v is positive.\nAnswer: v**(-221\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -41. Solve -5*c + 1 + i = o, 4*o + 11 = -5*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88 + -4?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16) - 76\/176. Is m equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 20*z - 8. Let s be (-48)\/(-2) + (2 - (-2 + 6)). Is v(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/6311238 and -43\/27.\nAnswer: 56801142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 5*x, -4*g - 22 - 4 = -2*x. Let h be 2*-3*x\/(-9). Solve h*d = -4*a - d - 32, -4*a - 36 = 4*d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -6*v + 387. Suppose -a = -3 - 7. Calculate the highest common factor of a and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 919, 4320, 13551, 31528, 61167?\n\"Answer: 486*n**3 - n**2 + 2*n + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97.2 - 97. Let k = -1.4 + 1. What is the closest to p in 1\/5, -5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -19 + 1\/3*i**3 + 3\/2*i**2 - 6*i. Calculate the remainder when 93 is divided by h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (-2 + 3 - 3)*(3 + 0 - 1))*(-210*p**3 - 65173 + 65173).\nAnswer: 1050*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z - 2716 = 38*z. Let s = z + -369. What are the prime factors of s?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 13. Let u = -6 - v. What is the remainder when 27 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1656 - -1666. Solve -7*m + 3*h = -a*m - 15, -4*h - 20 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 722 - 6*l**3 + 722.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14063, -14035, -13971, -13853, -13663, -13383?\n\"Answer: 3*h**3 + 7*h - 14073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13 - 8 + 5*m + 19. Let d(i) = i**2 + i - 1. Let l be d(1). Let y(z) = z - 1. Determine l*c(b) - 3*y(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 459 + 7*l**2 + 2*l**2 + 459.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 6*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - (-7 + -5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*l + 62 + 36. Suppose -12 = 5*d - 2. Let k be d - -1*(0 - -3). Sort 0, l, k in ascending order.\nAnswer: 0, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-106)\/(-34) + 90\/(-765). Solve c**2 + 4\/5*c**b + 2\/5*c + 1\/5*c**4 + 0 = 0 for c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:36 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6 + 4*k - 6 + 6 + k**2. Suppose -6*p - 16 = -2*p. Determine y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*s**3 - 4*b**3*s - 174449*b**3 - 3*b*s**3 + 140*b*s**2 + 115510068*s**3 wrt s.\nAnswer: -6*b**3 - 18*b + 693060408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.65 + -0.15. Let n = x - 1.6. What is the second biggest value in 1, n, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 - 307 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*d + 5*o - 5158 = -23*d, -d + 5198 = -3*o. List the prime factors of d.\nAnswer: 71, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 0.0957?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 4*s - 694 + 716, -s = -21*p - 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -1\/2, -3, 5 in ascending order.\nAnswer: -3, -2, -1\/2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**4*k*k*k*k**(-8)*k assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24781*j + 12114*j + 20046*j.\nAnswer: 56941*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -1100, -2570, -4648, -7328, -10604, -14470?\nAnswer: -18920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412, 1932, 4788, 9196, 15372, 23532, 33892?\nAnswer: 46668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -4.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 726681520 to the power of 1\/2, to the nearest integer?\nAnswer: 26957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 24. Let m = -2 + i. Solve g - 3*g = m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1383008\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 438 + -298. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -747, -1548, -2689, -4182?\nAnswer: -6039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -22*u**3 + 2*u**2 + 2*u + 1. What is the remainder when 43 is divided by b(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/15 - (0 - 4))\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*1 + -1 + -2 + (3*sqrt(180) - sqrt(180))**2.\nAnswer: 6*sqrt(5) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 562*y**4 - 309 with respect to y.\nAnswer: 2248*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122\/3 - 607\/15. What is the smallest value in 4, -3\/7, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(90\/12)*-2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2696.4 * -0.3.\nAnswer: -808.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1098a (base 11) to base 15\nAnswer: 4a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7030*i + 330375. What is m(47)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*x**5 - 82393*x**4 - 36855507*x**2?\nAnswer: 660*x**2 - 1977432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -6\/224041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/39*-7*90\/210?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 25\/11 (b) -0.3 (c) -6\/5 (d) 2 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -5.5. Let a = w + -2. Let z be ((-9)\/10)\/1 + 10\/25. What is the nearest to z in 2\/15, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 55, 65, 55, 19, -49, -155, -305?\n\"Answer: -h**3 - h**2 + 34*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 29*u - 29. Let o be k(12). Suppose 7*q - 27 - o = 0. Let m be q\/25*(-75)\/(-10). Which is bigger: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-5) - 2\/5. Suppose -s = m - 0. Let c = -4 - s. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6310 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 7, -1142, -3, -1 in descending order.\nAnswer: 7, -1, -2, -3, -4, -1142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 52*i - 153. Let n be f(3). Which is smaller: n or 40?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -6. Let r = 78 - 58. Let q be -10 + 3 + 156\/r. Which is the fourth biggest value? (a) 1\/7 (b) -2\/11 (c) q (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38.04152033 from 0.2.\nAnswer: -37.84152033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265225700, 530451397, 795677094, 1060902791, 1326128488, 1591354185?\nAnswer: 1856579882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -408 + 99*h**3 + 3*h**5 + 1149*h + 0*h**4 + 50*h**4 - 1002*h**2 - 33*h**4 + 49*h**4 + 93*h**3.\nAnswer: 3*(h - 1)**3*(h + 8)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 296376 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18473 and -318946?\nAnswer: 337419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 105121537 take away 2?\nAnswer: 105121535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 9:11 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1283432 and 272?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*i + 2, -4*g - 5*i + 1 = -0. Let o be g\/22 - (-8)\/440. Let -1\/5*w**3 + 3\/5*w**2 - 3\/5*w + o = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169\/385 - 3\/77. Put 2, r, -4 in increasing order.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 4*q - 3*q)*(0*q + 0*q + 2*q) + 3*q**2 - 3*q**2 - q**2 - 53855562 + 9953*q**2 + 53855562 as z*q**2 + r + t*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2348149 or -35222234\/15?\nAnswer: -35222234\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11808.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 - -307. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-27)*12\/1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eei when three letters picked without replacement from {i: 16, e: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 2. Suppose -9 = -2*i - 19, 3*g = -5*i - 40. Let z(l) = 4*l + 3. What is g*z(d) - 8*q(d)?\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 5:59 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/15 (b) 0.175 (c) 53 (d) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 1 + 1 + (0*n - n - n)*(0 - 7 + 3) in the form t*n + m and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88105 and 670?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -4014?\nAnswer: -4013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -594.2 - -593.2. Let j = 0.3 + -0.2. Which is the closest to 3? (a) j (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 49*i + 7 = 0. What is the second smallest value in 0.09, 1, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 75 - 70. Solve 4*w + f + m = 0, -5*f + 0 + 15 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/4*m**4 + 2 - 7\/2*m**2 - 2*m**3 - 6*m. What is q(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5397.\nAnswer: 1\/5397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4 - 8. Let z be ((-9)\/3)\/(0 + p). Let c(m) be the second derivative of -m**3\/6 - 3*m**2\/2 - m. Determine c(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 79\/61910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 7888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + t**2)*(2*t + 4*t - 5*t)*(-3 + 5 - 1)*(-11 - 4 + 19).\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, -5, 2, -1 in increasing order.\nAnswer: -5, -3, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttbbuvxtbe. Give prob of sequence vxbx.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263.1 - -264. Which is smaller: s or 19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 6:11 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*r**6 + 16*r**2 - 37*r**2 - 2*r**2 wrt r?\nAnswer: -2400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q + 7*q**2 - 7*q**2 + 5 - q**2. Let s be (-2)\/(-9) - (-94)\/(-18). Give x(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3923, 7848, 11773, 15698?\n\"Answer: 3925*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19165, -18630, -18095, -17560?\nAnswer: -17025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3*c - 26 - 88, -172 = -5*v + 4*c. Let d = 171 - 161. Suppose -i - d = -v. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1026237, -2 in descending order.\nAnswer: 9, -2, -1026237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*a*a*(a*a\/(a\/(a\/a**9)*a*a))\/a*a*a)))**(-1\/26) assuming a is positive.\nAnswer: a**(5\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 0*d. Suppose -2*j + 0*j + 3*r + 8 = 0, r = 5*j - 7. Let i be 0*(-4)\/16 + j. Which is the third smallest value? (a) i (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 748838 and -768.\nAnswer: 748070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12010 + -1133?\nAnswer: 10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 782486738?\nAnswer: 2, 11, 43, 47, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 363*a**4\/5 + 462*a**3 + 4071*a**2\/5 + 252*a + 108\/5 = 0. Calculate a.\nAnswer: -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*y**3 + 2 + 848*y**3 - 584*y**3 to d + p*y**2 + u*y + t*y**3 and give t.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/72)\/((-2660)\/(-6840))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-37))\/(v*v\/v**30) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5905\/32? (a) 0.4 (b) 3 (c) 2 (d) -3 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o\/(o*o**(-8)\/o)))*o**2*o\/(o*o**(-3\/10))*o*o*o**(-3\/4))**(8\/7) assuming o is positive.\nAnswer: o**(542\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38220.5 - 38221. Which is the closest to -1? (a) -1\/7 (b) 3\/397 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (7 + 0)) + -3 + (-29 - -28).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9\/10 of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1.306737.\nAnswer: 1.306737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from fffsefsfes?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8590378\/11 < 780944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 + 224086*z**4 + 2913006*z**3 + 12772260*z**2 + 22183281*z + 12099942 = 0.\nAnswer: -224073, -6, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142.772 + 0.228. Let z = h - 142.6. Let l = 3.2 + -3. Which is the second biggest value? (a) z (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3 - -4) + -2 - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -12*v**3 + v**2 - 4*v - 1. Let s = -5 - -3. Let f be (-4)\/2 + (s*2 - -2). Is g(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6902*v**2 + 3417*v**2 + 5*v + 3454*v**2.\nAnswer: -31*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 122668?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408172 divided by -4?\nAnswer: -352043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2707922 and 0.3?\nAnswer: 812376.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 + 5*l - 2. Let x = 215 - 212. Let b(o) = -6*o - 8*o**2 + 2 + o**2 + 827*o**3 - 828*o**x. Determine -5*b(v) - 6*q(v).\nAnswer: -v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v - 16*v + 24. Suppose -c + 0 = 3*b + 2, -2*b - 2 = c. Solve a + 2 = -0*h + 5*h, b = v*a - 5*h + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 5, -7*p + 397 = h + 412 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15b407a1 - -3?\nAnswer: 15b407a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:14 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/13, -0.03, 0.2, 52 in decreasing order.\nAnswer: 52, 0.2, 1\/13, -0.03, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*l - 19647, 4*s + 56*l = 51*l + 26219. List the prime factors of s.\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 168 = 10*w - 98 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (6 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*q**2 - 2 + 3)*(-98*q**2 + 59*q - 59*q) to a*q**2 + i*q**4 + n*q + t + j*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53443147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*q**2 - 16*q**2 + 11*q**2)*(-q - 1 + 1) - q**3 - q**3 + 0*q**3 as r*q + b*q**3 + o*q**2 + s and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1037153 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 2, 4, -0.236, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**3 + 12*p**2 + 31*p - 16. Let f be y(12). Let k be (-2)\/(-5) + 108314\/(-35). Let n = k - f. What is the common denominator of 18\/7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = 3*c. Suppose c*i + 2*i = 3*j, -4*j = -20. Suppose -144 = -4*d + 2*v, -i*d + 7*v = 3*v - 98. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61225240*z - 248231805 with respect to z.\nAnswer: 61225240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + -5.9. Suppose -26*p = 25*p. Put w, p, 2 in increasing order.\nAnswer: w, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 417*f = 414*f + 1, -3*l + 4*f = -32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/3 + 42*d**4 + 39794*d**3\/3 - 378*d**2 - 119328*d = 0. What is d?\nAnswer: -113, -3, 0, 3, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 18*f**2 - 19*f - 12. Suppose 3*j = -3*q - 6 + 189, 4*j + 16 = 0. Calculate the remainder when q is divided by y(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610863 = v - z - 589136, -3600002 = -3*v - 2*z. Round v to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q\/q**(-6)*((q**(-1\/2)*q)\/q)\/(q*q**(-2\/5)*q)*((q**(-2\/9))**(-33))**(1\/10) assuming q is positive.\nAnswer: q**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 139, 501, 1215, 2401, 4179, 6669?\nAnswer: 9991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 2. Let o = 2 - t. Let p(w) = -4*w - 5. Let c(q) be the second derivative of -7*q**3\/6 - 9*q**2\/2 + q. What is o*c(n) - 11*p(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 4. Calculate the remainder when 17 is divided by f(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -435, -583, -643, -609, -475?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -66341631?\nAnswer: -66341631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(10\/4) - 1. Let s(w) = w**2 + 5*w + 3. Let a(j) = j - 1. Let u be a(-4). Let q be s(u). Calculate the highest common divisor of q and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-174)\/145)\/(-1*8\/5))\/((-109)\/3488)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + 1d?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2740?\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 229033658 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 22 = 6*o. Let x = o - -42. What is the units digit of (2 + 12)\/(8\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 5*r**3 - r + 9*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {n: 2, d: 1, p: 5, b: 3, r: 1}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 - n**2 + n. Let o be t(1). What is the units digit of 1 + (2*o - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/10 + 3*t**5\/25 + 178. Factor f(u).\nAnswer: 3*u**4*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/15 of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, d: 4, p: 3, q: 1, z: 1}. What is prob of picking 1 p and 2 d?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -55. Let q = -0.562 + 0.162. Sort 0.4, j, q in decreasing order.\nAnswer: j, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6408*c - 25812. What is t(4)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + c + 4*c)*(0*c + 5*c - 7*c) + 2*c + 0*c + 0*c**2 - c**2 to the form q + u*c + s*c**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19851 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:11 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02061 + 0.12061. What is the nearest to -3.4 in 0.3, l, -12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a minute in seconds?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -k - 25, 3*u + k - 11 + 76 = 0. List the prime factors of (-2 + 1)*-3 - u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-4) - (-1)\/1. Let j = 4 - p. Let w be 4\/5*(-3)\/(-2). Sort w, -1, j in descending order.\nAnswer: w, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113220000 rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 10*s**2 - 23*s + 5. Let o be z(5). Suppose -o*p + 234 = 63*p. Let 0*i + 1\/2*i**p + 0 - i**2 + 1\/2*i**4 = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162633355?\nAnswer: 5, 32526671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317 times -0.19?\nAnswer: 630.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60192 + 7489*k**3 - 106849 + 55368 wrt k?\nAnswer: 22467*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) -2\/3 (c) 3 (d) 0.103 (e) -0.1 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/342*(-114)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 6*u**2 - 2*u + 7. Let r = -3 + 9. Let t be j(r). Suppose 5*v + c = v + 12, 0 = 5*c. Put 5, t, v in descending order.\nAnswer: 5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrwwrr. Give prob of sequence rrr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 5960c2?\nAnswer: -5960b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:33 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -1\/3*a**3 - 3*a + 4*a**2 - 8. Let t be i(7). Solve s = -4*o - 16, -5*o = -3*s - t*o + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*x + 12. Let u be (-67)\/(-2) - (-2)\/(-4). Let s = u + x. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164342 is divided by 174?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + 7. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 - j**3 + 2*j**3 + (2*j**2 + 2 - 2)*(-4 - 2*j + 4) in the form g*j**2 + u*j**3 + z*j + a and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4, 6*r = 5*r - 3*m + 116. Calculate the remainder when r is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(1458)*-2 + sqrt(18)))\/((1*sqrt(72))\/sqrt(12) + sqrt(6)) + ((sqrt(198) + 1*sqrt(198))\/sqrt(11))\/(sqrt(96) - -1*sqrt(96)))**2.\nAnswer: 4107\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 2*q + 123. Let a be m(0). Suppose 0 = -5*c + a + 17. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1753 + -1753.00000114. Round f to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**2*a*a*a*a*a**(2\/3))\/(a**(-1))**(-3\/5))**(-21\/8) assuming a is positive.\nAnswer: a**(-847\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/6)\/(o\/((o**(1\/2)\/o)\/o))*((o\/o**0)\/o)**(1\/56)*(o\/(o*o**(1\/3)\/o))\/o**(-2\/13)*o**2\/(o*o**4) assuming o is positive.\nAnswer: o**(-176\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 490*h**2 - 1. Let x be m(-1). Suppose -y + u - 252 = 6*u, -5*u - x = 2*y. Let w = y + 1691\/7. What is the common denominator of 79\/10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -53*o**5\/20 + o**3\/6 + 15*o**2 + 65*o + 2. What is the second derivative of c(w) wrt w?\nAnswer: -318*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -137\/1938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 27 + 47 = 2*d, -4*d + 5*w + 154 = 0. Let f be 269999992\/d + (-8)\/(-36). Round f to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 392 in 1, -0.9, -1\/8, 0.1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31956 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1266 and 9543741?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4 - 16) + 36 + -33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -367*p - 792 - 366*p + 730*p to the form z*p + h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/((1\/3*-1)\/(1232\/25872)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (169 + -74 + -88)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 593, 1180, 1739, 2264, 2749?\n\"Answer: -j**3 - 8*j**2 + 618*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686448 + 421995 = 28*f - 7*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from trjjnuutoujjj. Give prob of sequence ujj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62447*m**3*t*z + m**3*z + m**2 + 2*t*z**3 - z**3 - 37*z wrt t.\nAnswer: -62447*m**3*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 3*x**2 - 2*x - 1. Let f = 31 - 27. Let v be r(f). Let i = -81 + 144. Calculate the greatest common divisor of v and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874433*n + 1874573*n + 980 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 302*o = 306*o + 22, 4*v = 2*o + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.05 - -0.05. Let g(r) = -26*r + 27. Let n be g(0). Suppose 26*b - n*b = -5. What is the nearest to -2\/5 in b, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5094102 decades?\nAnswer: 0.005094102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -211, -328, -463, -622, -811, -1036, -1303?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 22*p**3 - 54*p**2 + 26*p + 13. Let z(l) = -11*l**3 + 27*l**2 - 12*l - 6. Calculate 6*y(w) + 13*z(w).\nAnswer: -11*w**3 + 27*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.42, -4, -110, -2, -6 in decreasing order.\nAnswer: 0.42, -2, -4, -6, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -38. Solve -2*m + 9 = v, 0 = 4*m - 51 + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t - 45*t + 12750 + 88*t.\nAnswer: -2*t + 12750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 1656*n**2 + 0 + 2 - 1655*n**2. Let w be a(6). Calculate the greatest common factor of w and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102799 take away -1674687?\nAnswer: 1571888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:51 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 20 = -5*x. Suppose 0 = 4*y - 9*y + x. Solve 0 = 3*p - 3*w, 0 = y*p + p + w + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11\/((-1045)\/(-16169)) + 6\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, -823, -5, 83, -2 in decreasing order.\nAnswer: 83, -2, -5, -52, -823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (93\/21)\/1 + 130\/(-50) + (-7)\/5. Suppose -c*h + 6\/7*h**2 - 1\/7*h**3 - 10\/7 = 0. Calculate h.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738)\/287 - 4\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 4}. What is prob of picking 1 d and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - x + 14 = 0, -1 = -m + 2*x - 2. Let c(g) = -g**3 + 2*g**2 + g + 4. Determine c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5*w**2 + 7*w - 5. Let v be c(6). Suppose -4*k - 6*k + 40*k - 150 = 0. Solve 2*d = x - 2*d - v, 5*x = -k*d + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 302 - 3324\/11. Let q = 173 - 178. Let w = 1.8 - 2.3. Put q, w, v in increasing order.\nAnswer: q, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y = 506*y - 33692 - 11528 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 11. Let w = -2 + y. Suppose w = -l - 19 + 54. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 8. Let t(y) = -5*y - 12. Let n(j) = 7*c(j) - 3*t(j). Let f be n(13). Let x(o) = -2*o - 1. Give x(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165206?\nAnswer: 2, 17, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)\/(9\/18). Suppose -u*t + 3*h + 360 = 4*h, 4*h = 16. Suppose -22 - t = -5*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 181.6 and 36?\nAnswer: 145.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -19243244.\nAnswer: 17\/19243244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 30 = 5*u, -304*u + 298*u - 4*r + 28 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -106*c + 239. Calculate i(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 370261 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3456) + 1*(sqrt(3456) + sqrt(3456)*-1) - sqrt(3456)))\/((sqrt(968) + (1*sqrt(968)*6 + sqrt(968) - sqrt(968)))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12)*-2)\/(1\/(14\/3*-9))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrvv when four letters picked without replacement from qrqvrqrbrqrvazzq?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10021 (base 3) to base 13\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 2)\/4 + 160. Let y = q + -308. What is y rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 8 = m, -36 = 5*r - 3*m for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -147*m - 84*m - 236*m. Let r(f) = -509030*f. Let l(a) = 3269*j(a) - 3*r(a). Is l(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 + 4136*f**2 + 312580*f + 308448 = 0.\nAnswer: -952, -81, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347\/5 + 69. Let d be (-3)\/(30\/(-26)) + 72\/(-120). What is the second smallest value in x, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167321 or -167256?\nAnswer: -167256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9000 and 5925.\nAnswer: 711000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 190 = 48*d + 22*d - 85*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*a**3 - 14 + 2*a**4 - 22 + 28*a**2 + 38 + 2*a - 38*a**3 to the form v*a + c*a**2 + b*a**4 + y*a**3 + q and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/2 + 3*i**2\/2 = 0. What is i?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1532668 - 766336 + 81*m - 766332.\nAnswer: 81*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -413 greater than -4537\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-864)\/42*((-14)\/20)\/(-68*(-39)\/2652)?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 9. Let h be y(-7). Let c(n) = 2*n**2 - 3*n - 3. What is the units digit of c(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:23 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 3*d**2 + 6*d + 2. Suppose -160 = -10*x + 20*x. Let i(a) = -15*a - 244. Let y be i(x). What is p(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.9 + 129. Which is the closest to 0? (a) -2\/5 (b) u (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -67. What is the greatest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -429\/4?\nAnswer: -429\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.224 + -1.41. Let j = -0.5 - 0.3. Let y = a + j. Round y to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-54)*(-90)\/(-240) + 1632\/3456?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6 and -2*(-500)\/336 + 8\/16?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015544.4264 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 63 = -g. Let j = 108 + g. Suppose 0*z = -2*z + 3*b + 8, -j*z + 4 = -b. Solve z = -r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*y = -16, 2*x = -5*y + 2 - 8. Let h(u) = -u**2 + 3*u. Give h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 0.3 (c) -2\/9 (d) 5 (e) -5\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 - (0 + (-177)\/(-72)). Let q = 1\/3 + k. Sort 0, -5\/4, q, -1.\nAnswer: -5\/4, -1, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7229514 and 7.\nAnswer: 50606598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 298314 smaller than 298321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqpppqqqqqpp. What is prob of sequence pq?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 293588 and 2356.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156713 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/77 - 5\/11. Which is the closest to 0? (a) x (b) 30 (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a\/a**(10\/7)*a**(-24)\/a*a\/a**12)**41 assuming a is positive.\nAnswer: a**(-41533\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ittttitktkit.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63462, -253730, -570834, -1014768, -1585526, -2283102, -3107490, -4058684?\nAnswer: -5136678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -66*o + 471. Let u be s(7). Let a(t) = -4*t + 6. What is a(u)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 2*t**3 + t**3)*((-14 - 9 - 5)*(0 + 0 + 2*t) + 0*t - t - t)*(-3*t + 8*t + 0*t).\nAnswer: -580*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*n + 39*n = -14430. Let b = n + -555. Which is smaller: b or -1\/92?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9276103, -9276100, -9276097?\n\"Answer: 3*u - 9276106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(250)*-3).\nAnswer: -sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 32 = -2*v. Let y be v\/(-60) + 20550002\/(-15). What is y rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -159, -388, -801, -1452, -2395?\nAnswer: -3684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = 59*c - 1103072 - 301378. List the prime factors of c.\nAnswer: 2, 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2 + 347*k - 53. What is f(115)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-18)\/m)\/m*m)**(4\/5) assuming m is positive.\nAnswer: m**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(6*(1*sqrt(539) - sqrt(539)) + 4 + (3 + -1*sqrt(539) + sqrt(539))*3))**2.\nAnswer: 3249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 6*n**3 - 3*n**3)*(0*n - 12*n - 6*n) + (9*n + 60 - 60)*(3*n**3 - 3*n**3 - 2*n**3).\nAnswer: -54*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16156155 and 915.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*g**4 + 53*g?\nAnswer: -168*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (2 + 2) - (2 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:50 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(16)\/sqrt(2)) + (sqrt(156)\/sqrt(3))**2 + (-5 + sqrt(52)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: -9*sqrt(13) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2. Let b(x) = 198*x**2 + 188*x**2 - 348*x**2. Determine b(g(h)).\nAnswer: 38*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 22*v**2 - 3*v - 16. Is j(23) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -45, -5, 29, 57?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 9:41 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/20 or -1?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/13 + 54*a**2\/13 - 528*a\/13 + 1120\/13.\nAnswer: 2*(a - 4)**2*(a + 35)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/9, 40 in descending order.\nAnswer: 40, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*((-2*sqrt(468) + 4)**2 - sqrt(468)) - (-2*sqrt(468) + 5)*-5).\nAnswer: -5637 + 246*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140822.62 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 11*y + 36 = 0. Let s(z) be the second derivative of z**5\/40 - z**3\/2 + 2*z. Let l(o) be the second derivative of s(o). Calculate l(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 1. Suppose -4*y - 29 = -9. Let u be w(y). Suppose j - u*j + 60 = 0. 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: In base 7, what is 266642012 - -1?\nAnswer: 266642013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -17 + 18 + 14 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4.5. What is the third smallest value in n, -4, 0.3, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(2\/7)\/o)*o)**(-38)*(o\/o**(-2\/3)*o)\/o**(-1\/3))\/((o**(-4)\/(o*o**2*o))\/((o\/(o\/o**(2\/3)))\/o**(-1\/2))) assuming o is positive.\nAnswer: o**(-2225\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -107.9. Let c = 2.879 - i. Is c less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/(-17) - 3) + (-68)\/(-578). Let s = -2\/13 + 25\/78. Let h be (-4)\/(-10)*(-5)\/(-33). Which is the smallest value? (a) v (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -4\/9, -2, 8\/153?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2\/11, -3\/4, 6, 3\/2 in descending order.\nAnswer: 6, 3\/2, 2\/11, -1\/6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*((-2)\/112)\/((-199)\/(476406\/456))?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/4*6\/9. Suppose q*v - 73 = 7. What is the smallest common multiple of v and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -g + 11. Which is greater: g or 83\/2?\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -u + 27, 3*a + 4*u - 67 = -22. Let t(o) = -4*o**2 + 23*o + 13. Let d(b) = -2*b**2 + 11*b + 7. Let q(g) = 5*d(g) - 2*t(g). Calculate q(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 49, 72, -5 in ascending order.\nAnswer: -5, 49, 72, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - 4 - (7 + (-7 - -4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 13267.63\nAnswer: 530.7052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164 divided by 6?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 0. Let k = q - -45. Calculate the remainder when k is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = -893 + 880 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3*2*sqrt(153) - sqrt(153)*-1*4)*4)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 326891019 to the power of 1\/2, to the nearest integer?\nAnswer: 18080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 + 12*b - 89 + 0*b - b + 3*b + (-1 + 4 - 4)*(3*b - 3*b + b) + 0*b - b - b - 3 - 2*b + 3.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 2*s**2 + s - 7. Suppose -9 - 7 = -4*h. Suppose -24 = h*f - 3*y, 0 = -f - 0*y + 5*y - 23. Let d be q(f). Sort 1, d, 4 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 159. Suppose c - g - 65 = 0, 3*c - 4*g - 196 = n. Calculate the greatest common divisor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989 divided by -4.\nAnswer: 989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 9) to base 5\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 46*k - 28 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 35 + 4. Suppose 0 = -2*o + 6*l - 2*l + 2348, 0 = -g*o + 2*l + 3522. List the prime factors of o.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.03 - 3. Let j = -4.97 - t. Let o be 2\/((0 - -2) + 1). Which is the nearest to -1? (a) o (b) j (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 100*p**2 - 5*p - 1. Let b(m) = 707*m. What is b(l(r))?\nAnswer: 70700*r**2 - 3535*r - 707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4 - 3*j**2 - 2 + 4*j**2 + 4 + j. Suppose 0 = -5*m - 4*f + 5, -m - 4 = -3*m - 2*f. Let z be q(m). Solve -z = r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7960.215 millennia?\nAnswer: 95522580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**4 - 3*u**4 - u**3 - 3*u**4 + 11*u**2 + u**4 - 2765*u + 2784*u + 1 in the form z*u**3 + s*u + h*u**4 + x*u**2 + t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiu when four letters picked without replacement from {u: 5, i: 14}.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -4\/7, -0.3, 428, 1\/6, -0.011?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(1573)*-1 + sqrt(1573) - (3 + (sqrt(1573) - sqrt(1573)*-1))) + -5 + sqrt(156)\/(-2*sqrt(108)))**2.\nAnswer: 3176*sqrt(13)\/3 + 2051221\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 = -b. Let d(n) = 3*n**2 + 4*n + 2. Give d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -11, -212, -1, 382 in decreasing order.\nAnswer: 382, -1, -11, -17, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009769430891 rounded to seven dps?\nAnswer: -0.0009769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*y = 0, -2*w + 2*w = 5*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 62 - 21 = 5*s, -45 = -3*s - 5*f. Is ((-15)\/s)\/((-3)\/502) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**5 + l**5 + 3*l**5 + l**5 + 0*l**5 - 2*l**5 + (-10*l**3 + 8*l - 8*l)*(l + l - 4*l)*((-2 - 3 + 6)*(3*l + 0*l - 2*l) - 17*l - 17*l + 26*l).\nAnswer: -143*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14) - 10\/(-14). Let c = o + -10. Let u = c + 13. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2)*(-38131)\/(-4486)*58\/34.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 26*z**4 + z**3 + 57. Let m(k) = k**4 - k**3. Let y(l) = j(l) + m(l). What is the derivative of y(h) wrt h?\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963856 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*t**2 + 12 - 29*t**2 - 4)*(6*t - 3*t - t) as p*t**3 + h*t**2 + f + x*t and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/1)\/((-20)\/40))\/(4\/560*-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, -69, 58143, 5, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384653203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57338 (b) -0.3 (c) -3 (d) -27\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -41.6 (c) -0.001695 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20852 + 4*s + 20852.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 1cb?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -25*i**2 + 13*i + 8. Determine o(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + f**2 + 9 - 2*f**2 - 15.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 0.2, -154, -9\/1058?\nAnswer: -9\/1058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 24364?\nAnswer: -2436b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(0 + sqrt(468) + sqrt(468)*2 + sqrt(468)) - (-2*-5*(sqrt(468) + -1))**2))*-3.\nAnswer: -3672*sqrt(13) + 140703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*21\/126*(-9)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1, 0*n - 13 = 5*n + 3*r. Let q(l) = 4*l. Let a(h) = -3*h + 1. Let i(w) = -5*a(w) - 4*q(w). Let m(s) = -1. What is n*i(o) + 11*m(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1432 - 24194\/17. Let d = -1356\/119 + p. What is the common denominator of 53\/169 and d?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-1 - -3))\/(-1 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/3 of a day in hours?\nAnswer: 464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.025 + -91.975. Let u = -91.9999917 - l. What is u rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 178360 = -291410. Is 4\/14 + g\/98 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-813)\/(-138))*848\/530?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - 2*s)*(-11*s + 326 - 326).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 + 402415*s - 8450274 = 0 for s.\nAnswer: 21, 402394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*d - 140 = -60, 130 = 2*g + 3*d. Solve 23*n + 5*n = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 7*a**3 + a + 2*a**3 + 4*a.\nAnswer: 8*a**3 + 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -1, 3\/8.\nAnswer: -1, 3\/8, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5395875 is divided by 747?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805219 is divided by 161?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -365 + 365 - 8*f**2 - 28*f**3 wrt f.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + -45072?\nAnswer: -44871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:29 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/11, -106\/57, -175?\nAnswer: -106\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 18 = 43*x - 87*x. Solve x*s = 17*s - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*k - 1 - 90*k + 1 to n + q*k and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-1 - 2*d + 1) + 1458*d + 2062*d - 608*d - 446*d.\nAnswer: 2468*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8\/7)\/(r\/r**(1\/13)*r))**(-6\/11) assuming r is positive.\nAnswer: r**(1674\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001683 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9185, -17742, -26287, -34814, -43317, -51790?\nAnswer: -60227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 132, 11, -0.5, 13\/2, -3.6?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2449\/5 - -490. What is the second smallest value in 4, 9\/2, -1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -380, -759, -1138?\n\"Answer: -379*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/6, -4, 9\/35, -0.1, -12, -0.4?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005914309 to five decimal places.\nAnswer: 0.00591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/7 (b) -1\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4670.773 nanograms in milligrams?\nAnswer: 0.004670773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 4*u**5 - 436*u**4 - 5628*u**3 - 21548*u**2 - 27976*u - 11616 = 0.\nAnswer: -6, -4, -1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*u + 2 = 17, 16 = -4*u. Suppose 51 = -c*k + 212. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 14*p**2 + 15*p + 2. Let z be m(-15). Let u = -3.831 + -0.209. Let y = -0.04 - u. What is the closest to 1\/4 in z, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + f**2 - 2*f**2 - 2*f**2 + f - f + (-f + 4*f - f)*(-f - 3*f + 2*f))*((-4*f + 3*f - 2*f)*(-1 + 0 + 0) + (4 - 4 - 2)*(2*f - f + f)).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3 + 0 = 5*f, 2*f = -2*n + 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, -4, 34, 4 in decreasing order.\nAnswer: 34, 27, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + (-5 - (-474)\/42). What is the closest to u in 2\/7, 0.3, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/(c*c\/c**(4\/3)*c*c))\/(c**(2\/9)*c)**(31\/2) assuming c is positive.\nAnswer: c**(-4243\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 199 = -129. Suppose 0 = -k*o + 166*o - 4. Solve -4 = 2*h + o*u, -h - 2*u = -1 + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s - 4*s - 32*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.84 + -3.84. Let i = 4.05 + -0.05. What is the nearest to i in m, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 183?\nAnswer: -44\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 1. Let s(j) be the second derivative of 23*j**2 - 13*j. Let u(z) = s(z) - y(z). What is the remainder when 99 is divided by u(-22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7109055cm to kilometers.\nAnswer: 0.000007109055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/190 and -67\/228.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*z = -8, 5*s - s = -3*z + 20. Let f be (8 + -4)\/(-20)*s. Sort 0.2, -5, f, 3 in increasing order.\nAnswer: -5, f, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**7\/630 + u**6\/72 - 2*u**5\/45 + u**4\/18 + u**2\/2 - 3*u. Let c(g) be the first derivative of q(g). Factor c(j).\nAnswer: -j*(j - 2)**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*v + 14*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130959*r**3 - 50*r + 24*r + 26*r - 46736*r**3.\nAnswer: 84223*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 627 and 10439?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 = 5*q - 2*m, -6*q + q + m = -643. What are the prime factors of q?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 8*b + 168. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -3) + -21 + (16 + 3 - 12)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwnyx. What is prob of sequence nx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 117, 236, 355, 474, 593?\n\"Answer: 119*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsehhehhse. Give prob of sequence eses.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4, -4.\nAnswer: -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 494382, 3955418, 13349756, 31644048, 61804946?\n\"Answer: 494442*l**3 - l**2 - 55*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 49 - 3 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25522?\nAnswer: 2, 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40392 and 4428?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*c - 5*a + 1, -2*c + 2*a - 16 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 93*j + 94*j + 4 = 0, 20 = -y - 5*j. Solve -o + 7*o + 0*o = y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 31*b = 209007. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 8) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11375 divided by -325\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3171\/49738 - 2\/5739. Let n be (2\/52)\/((-168)\/(-1358)). Let l = a - n. What is the smallest value in -4, -3, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*i = -76338, -8*i + 13*i = -45. What is the greatest common factor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/10*(4500\/(-40))\/45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*j + 18, -9*n = -8*n + 2*j - 10. What is the closest to -1 in 3\/2, -3\/4, 0.1, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 0 - 10 - 26)*(-161 + 77 - u + 32) to the form l + p*u and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (463 + 408 - 288)*(2*y**4 + y**4 - 4*y**4) in the form g*y**3 + i + v*y**2 + b*y**4 + n*y and give b.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 391072139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 - 13671 + 13671 + 0*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (684\/32)\/9. Let b = k - -25\/24. Find i such that -2\/3*i**5 + 0 + 0*i**4 + b*i**3 + 0*i**2 + 0*i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) + 2*sqrt(143) + sqrt(143) - sqrt(143))*-6)\/(sqrt(77)\/sqrt(112)))**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/((-4)\/138). Let b be (-18)\/7*(z - -2). Calculate the highest common divisor of b and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 2?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-8 - -2)*-1. Let v = -8 + t. Let j(i) = -i**3 + i. Let n be j(-3). Solve 2*y + n = -y - 4*b, -5*y + v*b - 8 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6127110 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1050)\/140)\/(125\/600)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/4)\/6*2\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.949442 centuries in decades?\nAnswer: 59.49442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1037.353076951 - 94.\nAnswer: 943.353076951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 7 = -23*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2 = k. Suppose 0 = 4*z - 2*r + 5*r - 17, z - 17 = -5*r. Differentiate 2*l**4 - k + 4*l**z - 4*l**2 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + w + 16. Suppose -5*f + w = -6. What are the prime factors of -9*1\/f*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4530 - 103?\nAnswer: -4633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*3*56\/49?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/59 or 1?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-12)\/(-3))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/144 and (-7425)\/(-200)*(-1 - 129\/(-126))?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666 * 1300054\nAnswer: 865835964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-264))\/(20\/16*-1)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -212*k**3 - 7*k - 7. Let d(o) = 2*o**3 - o - 1. Determine 14*d(f) - 2*s(f).\nAnswer: 452*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*y**4 - 30*y**2 + 3 wrt y?\nAnswer: -1104*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 8. Let w be t(-6). Solve -a = -s + w, 2*s + 4 = -3*a - 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {s: 1, i: 1, j: 1, k: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 10. Let h(n) = n**3 - 16*n**2 + 15*n - 10. Let c be h(15). Let g = c - -30. Suppose 5*p + 8 = 4*u - 16, -3*p + u - g = 0. Give k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2. Let z(k) = -45197*k. Give z(p(q)).\nAnswer: 180788*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 + -23.8. Let n = -20.9999977 - z. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from {m: 4, u: 1, d: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 - -45. Let f be 1\/3 - t\/12. Determine h so that -2*h**2 + h**2 - 2*h**4 - 4*h**f - h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30\/25*30\/(-9). Let i(g) = -g**3 - 3*g**2 + g + 2. Let t be i(-3). Sort 5, w, t.\nAnswer: w, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/34)*u*u**(-1\/9)*u)\/(((u**19\/u)\/u)\/u**(-2\/7)))**(-15) assuming u is positive.\nAnswer: u**(164585\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 33, 342, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 4:20 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (93 + (0 - -6)) - (5 + -27 + 19)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 4*z**2 - 4*z**2 - 5*z**2 + 0*z**2 as i*z + x*z**2 + f and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = a + 2*a, -21 = -5*h - 3*a. Is h >= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13272546, 26545096, 39817646, 53090196, 66362746?\nAnswer: 79635296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, and 2 k when four letters picked without replacement from {k: 5, d: 2, z: 8, t: 2}?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4808.2 - -4798. Which is greater: t or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcsaslallsaaaas. What is prob of sequence ls?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 5*x + 30, 2*c + 15 = -x. Let a(l) = -l**3 - 6*l**2 - 7*l. Let b be a(c). Let g = b + -3. Solve v + g - 3 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, x: 7, h: 6}. What is prob of sequence lxhl?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*r*y**3 - 711*r*y**2 - 2*r*y + 18*r + 508*y - 11 wrt y.\nAnswer: -3114*r*y - 1422*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0.1, -1\/59 in decreasing order.\nAnswer: 0.1, -1\/59, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o - 8. Let m be g(-2). Solve -m = 4*p - 6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 7. What is the remainder when 20 is divided by w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(30))\/sqrt(5) - sqrt(6)) + sqrt(6)*-2*4)\/((sqrt(18) + (-1*(sqrt(18) + sqrt(18) + sqrt(72)) - sqrt(18)))\/((sqrt(192)\/sqrt(4))\/sqrt(8))))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1166 + -1166.4. What is the fifth biggest value in y, 9, -0.2, 2, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63146 is divided by 21044?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7795 and -93\/10.\nAnswer: 15590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642586915 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213001220 + 111?\nAnswer: 213001331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6222489757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.095 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -0.048, -50, -42, 0.5 in decreasing order.\nAnswer: 0.5, 2\/7, -0.048, -42, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 148 = -j + 5*z, 0 = -2*j - z + 88. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:42 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 189991100 to the nearest one million.\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14962 or 14136?\nAnswer: 14136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z. Let w(i) = -i + 2 - 1 - 1. Calculate o(w(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - j + 18 = -15*l - 0, -23*l + 4*j + 176 = 26*l + 53 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29127 or -2242776\/77?\nAnswer: -29127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8322?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 104006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -4. What is the remainder when 320\/(-10)*(-2)\/4 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 112 - 3*p**2 - 3*p**2 + 4*p**2 - 113 + 8*p**3. Is f(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 13657476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 4624212.\nAnswer: -1\/1156053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136961, -547839, -1232635, -2191349, -3423981, -4930531?\nAnswer: -6710999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -5*b - 33, -9 = -2*a + b. Does a = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -0.279, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**5 + 1607*y**4 - 34*y**3 - y**2 - 8719293*y wrt y.\nAnswer: -300*y**2 + 38568*y - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93475 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -3 - -1107)*4\/12. Let y = b + -65. What are the prime factors of y?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16.4 in 0.3, 2, 556, 2\/11, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32372 - -32379. Put u, 5, 1\/4 in increasing order.\nAnswer: 1\/4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((-4*sqrt(75)*5)**2 - (-1*sqrt(75)*-4)**2) + -1).\nAnswer: 172794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*k + 37. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046*h + 1050*h = 4*t - 2428, -4*h - t - 2453 = 0. Which is bigger: -613 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*13*(2 + -3). Suppose f - 6 = 4*g. Suppose 17 + 88 = g*v. Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 434\/28*4\/1 + 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*p**2*u**2 + 1569*p**2*u + 9*p*u**2 wrt u?\nAnswer: 132*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 16.\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/232 and -67\/696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 3, -210 in descending order.\nAnswer: 3, -1\/6, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 269230 + 83068 = -33*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7133665, 9, -2 in increasing order.\nAnswer: -2, 9, 7133665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -120. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3059 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 6*d**3 + 26*d**3 + 0*d**2.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 + -3 - 2)*5. Let b = m - -43. Which is greater: -21 or b?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 741.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -93. Let o be (-4)\/16*1*-8. Suppose -2*d + 4 = -6, j - o*d = 24. Calculate the least common multiple of v and j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 556*z**2 - 6560*z + 6000.\nAnswer: 4*(z - 10)*(z - 1)*(z + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10956187 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/191194510 and -41\/38238902?\nAnswer: 191194510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d699 (base 14) in base 15?\nAnswer: 3b74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 488013349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -570 + 2029. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, -3\/2, -3.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(350) - sqrt(350))*1)\/(-6*(sqrt(21)\/sqrt(3) + sqrt(7))))\/(6*(sqrt(250) - sqrt(250)*4*-1)).\nAnswer: -sqrt(5)\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1274 divide 82557979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6191 + 4462 = -160*x + 3133 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 384*n - 380*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*a + 7 + 3 = 0, -3*m - 5*a = 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/3*1683\/22. Let i(p) = -p - 1. Let d(o) = 18*o + 17. Let h(u) = k*i(u) + 6*d(u). Let w(m) = 2*m. What is w(h(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1928 + 204. Let f = 1131 + z. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1562*j - 3156 + 3156 in the form v + w*j and give w.\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 4. Let l = 2 - 16. Let u = l - -21. Let x(h) = -h**2 + 8*h - 4. Let k be x(u). Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5 + 9 + 42*s - 34*s + s**2. Suppose 0 = 2*c + u + 15, 17*c = 12*c - u - 33. Give h(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c)\/(c**(1\/2)\/c)*c\/c**(4\/9)*c**(-2)*c assuming c is positive.\nAnswer: c**(-35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 787 + -512. List the prime factors of v.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 65.2694 microseconds?\nAnswer: 65269.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, -83, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90\/61? (a) 1 (b) -2 (c) -1 (d) -3\/7 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, -1, 0, -866 in ascending order.\nAnswer: -866, -5, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o - 42. Let d be w(-7). Solve d*x + 1 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195 divided by 225667.\nAnswer: 15\/17359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 6*d - 49. Let v be m(10). Let b be 20850*(51\/v + 5). Round b to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/123 - -68\/41. Let q = b + -19\/15. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 1:31 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + 1 + sqrt(832))**2 + 1 - (-5 + sqrt(832)*-2 + sqrt(832)*-1 + -4))*-5.\nAnswer: -4213 - 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, x: 3}. What is prob of sequence zzxz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13160 (base 9) to base 10.\nAnswer: 8883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e + 7060?\nAnswer: 710e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(77)\/(sqrt(11) + 4*sqrt(11) + sqrt(11))) + (4*(sqrt(5) - sqrt(125)) - 3*-1*sqrt(5)))**2.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 5*u, -64*k + 2*u - 5 = -61*k. Which is the biggest value? (a) 0.1 (b) k (c) -2 (d) 4.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 + -22.9. Let s = 21 + l. Sort 0.1, 0, s, 3\/5.\nAnswer: s, 0, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ccd48e (base 16) in base 15?\nAnswer: -12a2623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 424 - 424. What is the second biggest value in -0.03, -5, w?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*(3\/(-9) - 0). Solve 0 = -2*x + c*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 506 - 334. Let y = -172 + d. Suppose 14 = 5*u + 3*x, 0*u = u + 5*x - 16. Which is the smallest value? (a) 1\/2 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-101849)\/(-6))\/11 + (-3)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m**(-2\/15)\/m*m))*m)\/(m*m**(-9)*m))\/(m**13\/(m\/(m\/(m\/(m*(m*m\/((m\/(m*m\/(m\/(m*m**15)*m)*m)*m)\/m))\/m*m)*m)))) assuming m is positive.\nAnswer: m**(-317\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 8. Suppose d - 182 = -2*d - 2*u, 2*d - c*u - 148 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 4. Let j be t(7). Let q(g) = -g**3 - 3*g**2 - g - 1. Let x be q(j). What is the third derivative of -2*r**2 + r**x - 8*r**6 + 6*r**6 wrt r?\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 + 3*k + 1. Let o(g) = -2*g**2 + 48*g + 155. Let v be o(-3). What is b(v)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -i + 520, 4*i - m - 512 - 1532 = 0. Let w = i + -69. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/3 - 2206*z**3\/3 + 201662*z**2 + 1830430*z\/3 + 1223236\/3 = 0.\nAnswer: -2, -1, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4608 and 837?\nAnswer: 428544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 50 - 62. What is the biggest value in k, 2\/17, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 2*s**4 + s + (-3*s**3 + s**3 + 4*s**3)*(-s - 2*s + s) - 15*s**4 + 319*s - 319*s + (-s - 2 + 2)*(4*s**3 + 2*s**3 - 5*s**3).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:16 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 t when three letters picked without replacement from {y: 2, b: 3, p: 2, c: 6, t: 2}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4989 times 0.3\nAnswer: 1496.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 5*c**2 + 2*c + 3. Let i be h(3). Let t = 26 - i. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1222883938, 1222883937, 1222883936, 1222883935, 1222883934, 1222883933?\n\"Answer: -f + 1222883939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, -4624 in descending order.\nAnswer: 0.5, -3, -4624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 14*p**2 - 3. Let g be w(14). Let z be g\/2*(-8)\/6. Suppose 0 = -4*x - 2*m + 16, -3*x + 4*x + z*m - 4 = 0. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060683 is divided by 126?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*z - 900 + 3306 = -2474 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*r - 7. Suppose -4*m = -0*m + r*i - 9, -12 = -3*m - 2*i. What is the least common multiple of 10 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.17570971 + 0.\nAnswer: 12.17570971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32*(-3)\/264 - 14\/22. What is the nearest to -0.1 in 5, 212, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 43.9. Let p = 0.06 - 0.46. Let z = p + 0.1. Which is the nearest to q? (a) -2 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -125*w**5\/4 + 369*w**3\/2 - 1230*w**2. Find the first derivative of x(t) wrt t.\nAnswer: -3750*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s**2 + 23*s - 18. Let t(k) = 2*k**2 - 11*k + 9. Let c(y) = -3*i(y) - 7*t(y). Let p(x) = x**3 - x**2 + 17*x + 38. Let q be p(-2). What is c(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242189?\nAnswer: 127, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 24540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*n)*(-13*n + 11*n - 9*n + (-1 + 1 + 10)*(4*n - 4*n + 3*n)).\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 63 = -0*b. Let v be (-6)\/((b\/6)\/7). Suppose -67 = -3*n - v*o + 128, 5*n + 3*o - 336 = 0. List the prime factors of n.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.5, -12\/19, -0.3, 1\/8?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*(-26 - -98) + 2. Suppose a*d - 22*d - 60 = 0. Let n = -6 + 4. What is the second biggest value in d, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 3*i**2 - 10*i + 32. Calculate u(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 7*z**3\/3 - 1. Let a = -9 - -108. Let s(g) = a + g - 99. Determine o(s(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/103 in 0.2, -2\/9, 1\/8, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/2 - 15521*h**3 - 244780981*h**2\/2 - 30107170170*h - 1881353826450 = 0. Calculate h.\nAnswer: -15395, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6103 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.53 + -1.47. Let k = -1.964 - p. Round k to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d - 36*d**4 - 11820 + 11843 + 49*d**4 to the form c*d**2 + m*d + w*d**3 + h*d**4 + s and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*u**2 - 2*i**2*u - i**2 - 216*i*u**2*y - 9*i*u*y - 2*u wrt u.\nAnswer: 4*i**2 - 432*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**2 - 6*s - 8. Let b(y) = -4*y**2 - 5*y - 7. Let i = 18 + -11. Suppose 20 = -i*z + 3*z + 4*v, -3*v = 0. Calculate z*n(x) + 6*b(x).\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -112*t**3 - 50*t**2 + 4*t + 2. Let h(b) = -113*b**3 - 51*b**2 + 3*b + 1. Let i(s) = -4*h(s) + 3*z(s). What is the third derivative of i(x) wrt x?\nAnswer: 696","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.44 * 65\nAnswer: -3603.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0976 - 0.075. Round b to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = x - 4, -840*f = -832*f - 4*x + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 26, 5, -6, 0.5, -18?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (58\/(-4))\/(3\/(-6)). Suppose 0 = 2*u - s - 39. Let o(i) = 4*i**2 - i. Calculate the least common multiple of o(2) and u.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26032294 to the nearest integer?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 7*m - 2. Let o be a(-6). Suppose -x = -2*x + o. What is the greatest common divisor of 44 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - 4*x**2 - 11. Let u = 473 - 448. Let m(b) = -1041*b**3 + u - 21 + b**2 + 1042*b**3. Determine 11*m(y) + 4*v(y).\nAnswer: -y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6 - 264281*k**4 + k**3 + 5*k**2 + 3371*k + 38.\nAnswer: -120*k**3 - 6342744*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -10, 4*g - 2*t = -22. Let a be 0 + 30 - (-4 - g). Let x = a - 19. Calculate the remainder when 35 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/5 (b) -1 (c) 110 (d) -55 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/6 + 3*z**2 + 3*z. Let i be f(-5). Let n = i - -6. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 3:30 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:00 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwdedvv. What is prob of picking 1 w, 1 v, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 3*l - 2*l)*(12 + 11 + 0)*(-2 - 4 + 1).\nAnswer: -575*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21136659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444848060.\nAnswer: 2, 5, 23, 967061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 39*b + 12*b = 318176. List the prime factors of b.\nAnswer: 61, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2737\/166 + -1\/83. Let s = 50\/3 + a. Suppose -1\/6*u - 5\/6*u**2 + s - 1\/2*u**3 = 0. What is u?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let o(x) be the second derivative of -2*x**3\/3 - 2*x. Give o(v(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17452.\nAnswer: 2, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-3))\/c)\/(c*c**(1\/2)))\/(c**4*c**(-4\/7)\/c))\/((c*c\/(c**(1\/4)\/c))**(-38)\/(c**(4\/3)*c**4)) assuming c is positive.\nAnswer: c**(2287\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146402323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3 - 3?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*s - 38 = 0, -3*n - 5*s = -4*n + 24. Let f(y) = 11*y**2 - 21*y + 18. Let t be f(n). What is t rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -3 + -45 + 73 - -3 - (30 - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2.1, 3 in ascending order.\nAnswer: -0.2, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnnnsds. What is prob of picking 2 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let v(z) = z + 8332577. What is v(h(n))?\nAnswer: n + 8332577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -393*h**2. Let b(j) be the first derivative of 2*j**3\/3 - 1387. Give t(b(l)).\nAnswer: -1572*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from cwpwcwcpc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y + 10*y - 15*y)*(0*y**2 + 3*y**2 + 4 - y**2)*(0 - 2 + 5).\nAnswer: -120*y**3 - 240*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 7*k**2\/5 - 17*k\/5 + 9\/5.\nAnswer: (k - 1)**2*(k + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356 = -3*c - 87*c - 186 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3676 * -1427.4\nAnswer: -5247122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4744110 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -367860029826969 + 367860088892872.0000149. Let v = -59065920 + m. Let a = 17 + v. What is a rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 48*k - 151. Let s be g(51). Put 3, -15, -1, s in decreasing order.\nAnswer: 3, s, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1779 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 832 = -q + 278*o, -71 + 58 = -5*q - o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*h = -1 + 5, 0 = 2*r - h - 4. Let x(k) = -4*k + 5. Suppose 5*q = 2*q + 12. Let z(b) = 6*b - 4*b + 2 - q*b. Calculate r*x(n) - 9*z(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(2\/7)*k**(-2\/7)*(k\/k**10*k)\/(k*k*k*k*(k**0\/k*k*k)\/k) assuming k is positive.\nAnswer: k**(-81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 0.041, -0.2 in descending order.\nAnswer: 0.041, -0.2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11.5, -0.4, -3, 1536, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, b: 1, y: 1, r: 1, u: 1}. What is prob of picking 2 z and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011110 + -101?\nAnswer: -10110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*q**2*r**2 - 904*q**2*r - 2*q**2 - 4*q*r**2 - r**3 - 174*r**2 + r wrt r.\nAnswer: 34*q**2 - 8*q - 6*r - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {y: 4, w: 2, n: 1, u: 1, o: 2, d: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2058 * -1315.\nAnswer: -2706270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2798 - 1760. Suppose 14*f = 922 + c. Suppose f + 35 = 3*h + 2*q, -2*h + 124 = 5*q. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 10 = -2*f - 4*j, -3*f - j + 10 = 0. Find the third derivative of 3*d**f - 7*d**2 + d**3 + 3*d**3 wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**12*j)\/j))\/(j\/j**(-3\/8))*j**12\/(j\/j**(-2)) assuming j is positive.\nAnswer: j**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5316000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (490\/170)\/(-1) + 3\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 2*l + 5 = -19, 4*p - 519 + 291 = 24*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222165111?\nAnswer: 3, 7, 61, 173431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -5, -68.718, -0.5.\nAnswer: -68.718, -5, -0.5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(720)*1 + -4 - sqrt(720)) - ((sqrt(105)\/sqrt(3))\/sqrt(7) + (-1*sqrt(80) - sqrt(5)))**2).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 7*c**2 + 7*c - 4. Let t(q) = 2*q**2 + 2*q - 1. Let d(i) = 6*l(i) - 21*t(i). Differentiate d(k) with respect to k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2. Let b be n(3). Let i(d) = 0*d + b*d + d + d + 1. Let r(c) = -c - 1. Calculate -3*i(u) - 4*r(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 28.81. Let u = -0.19 - w. Which is the smallest value? (a) 1\/5 (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*a**4 - 2*a**3 + 30173 - 30013 + 6*a**3 - 2*a wrt a.\nAnswer: 924*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 8 = 6*v. Let b be (-8)\/16*28\/(-2). Suppose -2*a + b*a - 40 = 0. Solve -3*j + v = -u, -5*j - a - 12 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/40)\/(-29 + (162\/5 - -1))?\nAnswer: 3\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**7\/7 + x**3\/3 + 1. What is the third derivative of p(j) wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1024*r**4 + 1280*r**3 + 208*r**2 - 120*r + 9.\nAnswer: (4*r + 3)**2*(8*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 44*j**3 + 1263*j**2 - 1270*j + 6. Determine r(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-864)\/798) + (-4)\/(-14). Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 196199.8 millimeters?\nAnswer: 196199800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1993 (c) -2 (d) -18\/37 (e) 0.5 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3892 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/3 + 13*h**2 + 1. Let b(g) = -8*g. What is f(b(c))?\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - x - 109 = -100, -x = 3*o + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 + 31*u - 26. Suppose 2*v = 5*c - 49, -v + 47 - 4 = 5*c. Calculate the remainder when c is divided by m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*i**2 + 1 + 126*i**2 + 1 in the form v*i**2 + c*i + m and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.045, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 416049425 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/(-12)*(-648)\/20. Suppose -4*q = -4*w + f, -4*q - 48 = -w - 9*q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104272 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27299715*i + 88722187.\nAnswer: -27299715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:20 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, c: 2}. What is prob of sequence dcdd?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {k: 2, i: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 318 - 318. Solve p*a = a - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 15 = 2*y + 2, y - 3*x = -771 + 767 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -9475, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 3664*v - 16781120.\nAnswer: -(v + 9160)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 421048?\nAnswer: 5\/421048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79865304, -159730606, -239595908, -319461210, -399326512, -479191814?\n\"Answer: -79865302*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2) + 2\/(28\/49))\/1. Which is the second smallest value? (a) -1\/3 (b) -1.4 (c) 1\/6 (d) x (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10000?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293291551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (9 + -46 - -57)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611.8726 millilitres to litres.\nAnswer: 0.6118726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a - d + 179, -d - 73 = -2*a. Suppose -3 - 37 = 10*m. Let u be 12\/((m\/(-1))\/4). Calculate the greatest common factor of u and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 59239.4\nAnswer: -59242.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -5\/6, 15, 0.16, 0.4, -2 in decreasing order.\nAnswer: 15, 10, 0.4, 0.16, 0, -5\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or -150?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g - 25. Let f be w(-8). Find y such that f*y + 3*y**2 + 5*y**2 - 59*y - 13 + 1 = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.336082131 to 3 dps.\nAnswer: -0.336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y + 12. Suppose 3 - 12*u + 12*u**y + 5*u**4 - 7 + 4*u**4 - 5*u**2 = 0. Calculate u.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -443089\/5 or -88617?\nAnswer: -88617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6148 - 5357. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (337\/674)\/(-8 + (-7740)\/(-968))\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6 - 110*g - 126*g - 186*g. Let y be w(3). What is y rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*-3*3 + (sqrt(98) - (sqrt(98) + -2*(sqrt(98) + 0))).\nAnswer: -49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:18 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2)\/(-34)*32\/(-288)*-9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 16*j + 114 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - ((1 - 3) + 1). Let x be ((-8)\/j)\/((-2)\/3). Let i = x + 2. Solve -i + 5 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + 4*f + 6. Let d(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/6 + 2*i**2. Give -6*d(b) + h(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/283) + 8\/12. Suppose 0 = 14*m + g - 4575. Is 40 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4897519 - -0.4.\nAnswer: 4897519.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**8\/840 + u**6\/180 + 2*u**3\/3 + 2. Let c(n) be the third derivative of l(n). What is the third derivative of c(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150690 divided by -30138.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.119 less than 3.24295136088?\nAnswer: 5.36195136088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 9*s - 4*s)*(0*s**2 + s**3 + 0*s**2) + 0*s**2 + 0*s**2 - s**4.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**6\/120 + 4*p**5\/15 - 25*p**4\/24 - 31*p**3\/6 + p**2 + 19. What are the prime factors of w(13)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/56 and -1\/10348.\nAnswer: 144872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 1953*d - 15353. Calculate w(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 4*x**2 - x + 3. Let w be y(5). Which is greater: 25 or w?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - -5*sqrt(66)*-2 - (sqrt(66) - (sqrt(66) + 6*1*sqrt(66))))\/((sqrt(48)*2)\/sqrt(8) - (sqrt(6) + 1*sqrt(54)))*-4.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 7 + 13*v to m*v + k and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1620 and 149\/5508?\nAnswer: 27540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + 4*b - 101, 0 = 3*b. Let v = h + 76. Calculate the smallest common multiple of 27 and v.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427961 is divided by 52?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010 + -1202001?\nAnswer: -1120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-90))\/((-2*(-2)\/(-66))\/((-2)\/(-6)))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506176760 + 1506176760 - 12*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 396910.5 days?\nAnswer: 571551120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0199 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5707*l**2 - 21311 wrt l?\nAnswer: -11414*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + sqrt(55)\/sqrt(5) - (sqrt(99) + 2 + sqrt(99))) + (-1*sqrt(792) - sqrt(792))\/(5*(sqrt(2) - (sqrt(72) + sqrt(2)))).\nAnswer: -23*sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (144\/(-45))\/8*3*(-40)\/30?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6097701*l**4*w + 2*l**4 + 112988*l**2*w + 5*w wrt l.\nAnswer: 146344824*l*w + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101210021 (base 3) to base 11.\nAnswer: 379609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -16046 and -16046 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 10}. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -81857*d**2*x + 247259*d**2 wrt x?\nAnswer: -81857*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/11 - 39726*t**2\/11 + 2110368*t - 303909320.\nAnswer: -2*(t - 286)**2*(t + 20435)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 71947169 = 71947170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17482844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.87 * -524293.\nAnswer: 2553306.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213656533.\nAnswer: 3, 11, 103, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4807 and 20\/2009763?\nAnswer: 22107393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -234, -234, -240, -258, -294, -354, -444?\n\"Answer: -d**3 + 3*d**2 - 2*d - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -151805 divided by 2\nAnswer: -151805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 278012\/20 + (-44)\/(-110) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1861 divided by 501?\nAnswer: -1861\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 4*m - 7. Let k be ((-9)\/2)\/(27\/(-36)). Let d be o(k). Let f = d + 29. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 12. Let y = w + 4. Solve y = -5*s + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4131 times 0.07\nAnswer: 0.028917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p**2 - 51*p - 79. Give z(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4*d**2 + 2*d**2 - 4 + 2*d)*(199*d - 653*d - 284*d) to the form z*d + i + g*d**2 + s*d**3 and give s.\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74842*q + 23800 = 74366*q for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 l, and 1 q when three letters picked without replacement from ulq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 + 78*f - 3020. Let m be i(-63). Factor -5\/2*y**3 + 1\/4*y**m + 25\/4*y**2 + 0 + 0*y.\nAnswer: y**2*(y - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 553279479*n**2 + 11566619*n + 6.\nAnswer: 1106558958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(3\/11)\/(q**(-5)\/q*q**(-4)\/q) assuming q is positive.\nAnswer: q**(599\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2443560*g**3 - 55*g**2 - 22839*g wrt g?\nAnswer: -14661360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 6*w - 652. Suppose 169 = -i - 5*l, 8*i = 4*i + 4*l - w. Let g be i\/52 + 3 - 0. Which is the nearest to 13? (a) 0.3 (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58132989?\nAnswer: 3, 19, 339959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 725, 1087?\nAnswer: 1449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - 77?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*l**2*w**3 + 41202707*c**2*l**2*w + c*l**2*w - 7*c*w**3 + 84852*c*w + 2*l**2*w**3 wrt c?\nAnswer: -4*l**2*w**3 + 82405414*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 2, 1477?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669435 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 25. What is the nearest to -0.1 in a, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(44) - (sqrt(88)*2)\/sqrt(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24611 is divided by 127.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(7084\/8)*-7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 6*s**2 + 4*s. Let u(x) = x**3 - x. Suppose -4*m + 2*g + 24 = 0, 0*g - 24 = -5*m + g. Give m*u(j) + q(j).\nAnswer: j**3 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/6)\/(6\/(-40)). Let m be (16\/d)\/(3\/(-75)). Suppose -2*b - 7*w + m = -2*w, 0 = -3*w + 6. Calculate the highest common factor of 15 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -60\/77 and (1748\/(-1820) - 0) + (-8)\/52?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 - -368. What is the closest to w in 3, -2, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times 22137279?\nAnswer: 3984710.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 5*z**2 + 5*z - 7. List the prime factors of m(-5).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdj when three letters picked without replacement from {d: 14, j: 2, p: 1}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -16*u + 458. Calculate r(6).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) -1\/19 (c) 5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (16 + -172)*((-1 - 0) + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3. Let p(v) = 102*v**3 + v**2 - v. Let i be p(f). Suppose -y = y - i. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -27*z. Let j(a) = -a**2 - 2*a + 1. Let h(y) = -6*y + 6 - 11*y - 2*y + 17*y - 10*y**2 - 10*y. Let w(m) = -h(m) + 6*j(m). Calculate t(w(o)).\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3337 + -2966. Calculate the remainder when u is divided by 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010011000011101010 (base 2) to base 14.\nAnswer: -11972a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 4:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1689576 and 19\/1808.\nAnswer: 3379152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 674*o + 1365. Give c(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4, 9, -1\/3, 2, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvmvmvvmkvmvvm. What is prob of picking 2 m?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 2756*s**2 - 984256*s + 23762752.\nAnswer: -2*(s - 676)**2*(s - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7400782 is divided by 624.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142.1 and -2.4492?\nAnswer: 348.03132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = -5*l. Let w be ((-144)\/(-8) - 16)*10\/4. Solve q - x - w = 3*q, -3*x + l = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 18 - 12. Let j(u) = 1 - u + 41*u**2 + 34*u**x - 76*u**2 - 4*u**3. Give j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61623 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 11777915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0+-38671.049551\nAnswer: -38671.049551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + 0.25. Let v = -1 + 2. Let k = 7914.7 - 7915. Sort p, k, v in descending order.\nAnswer: v, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 3:27 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.5, -7, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -599 - -287. Let l = -310.8 - u. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + t - 5*q + 230, 0 = 3*t + 3*q - 10*q - 20 + 342 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -93*g + 31*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (0 + 23)) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0*q + 3*g + 3, 2*q + 1 = -g. Solve -8 = -q*v + 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*m**3 + 29*m**2 + 15726 with respect to m.\nAnswer: -42*m**2 + 58*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61236 = 7258*d - 8014*d for d.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/58 - -2)*(126\/30 - 4)*15?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 143\/2 - 72*t + 1\/2*t**2 = 0.\nAnswer: 1, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1508, 1507, 1506, 1505, 1504, 1503?\n\"Answer: -m + 1509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * -682\nAnswer: -545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/24 - (-9)\/108. Let c(w) = -w + 1. Let v(i) = -i + 2. What is a*v(y) - 3*c(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.32 - -44.02. Put -2\/3, 2\/63, -1\/2, r in ascending order.\nAnswer: -2\/3, -1\/2, r, 2\/63","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -877\/4 - -2633\/12. Let m be (-2)\/4*4\/(-6). Factor b + m*g + 1\/6*g**2.\nAnswer: (g + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 593327926 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110138\/784783 + 32\/3427. What is the common denominator of f and -25\/8?\nAnswer: 1832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1020*z. Let a(d) = 5*d**2. Give a(o(s)).\nAnswer: 5202000*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y + 6. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14875399*k**4 - 887424*k - 4 wrt k?\nAnswer: 178504788*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllwlw. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10)*(9 + 1). Suppose 3*p - b - 11 = 0. Let o be ((-39)\/156)\/(2\/24)*((-160)\/(-16) + -11). Sort -5, o, -4, p.\nAnswer: -5, -4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2. Let q be r(-1). Let m(s) = s**3 - 2*s**2 + 2*s. Let k be m(q). Suppose -5*f - 8 = -3*f + k*p, -4*f + 4*p = -32. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1810)\/20)\/(1\/(-2)).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -93\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*3\/6*-2. Let n be -2*((-146)\/p - 0). Let t = n + 106. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 4. Suppose -123*f = -83*f - 3440. Suppose -55*q - 251 = -f. What is the nearest to 1 in q, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421405 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 772693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqbk when four letters picked without replacement from {n: 6, y: 5, q: 2, b: 1, k: 1}.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -40*j + 648. Determine h(17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3511*f + 2403*f + 802*f)*(0 + 1 + 0).\nAnswer: 6716*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/13 + 47236776*w\/13 - 278914125859272\/13 = 0. Calculate w.\nAnswer: 11809194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 1344832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + n**4 - 4*n**4 + (-3*n**3 + 4*n**3 + 0*n**3)*(4*n + 6*n - n) + (-n**3 + n**4 + n**3)*(0 - 10 + 6).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 32154*k - 32198584 = 0. What is k?\nAnswer: 1073, 15004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 5*g**2 + 0*g**2)*(22 + 0*g + 4 + g).\nAnswer: 6*g**3 + 156*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 13) + 15 - 24) + 5 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 1, s: 5, t: 3, e: 1}. What is prob of picking 2 i and 1 s?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/3 - 20*y\/3 + 154.\nAnswer: -2*(y - 11)*(y + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 10}. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 9360 - 9360 + 4*r**2 - 208*r**3.\nAnswer: -208*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4895?\nAnswer: 9790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - (-306 - 18338\/(-60)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 24. Let b be q(-17). What is the highest common divisor of b and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r + 4\/3 - 1\/3*r**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 1635197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*k**5 - 2*k**3 + 196*k**2 wrt k.\nAnswer: -1740*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 - (-2 + 2 + 2) and ((6 - 5)*2)\/(-1) - -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01446152 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*r**2)*(1 + 3 - 1) + r**2 + 8*r**2 + 0*r**2 + (-2*r + r + 3*r)*(r - 3*r - 2*r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, j: 7, u: 1, x: 2}. Give prob of picking 2 x and 1 j.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -520822, -520820, -520818, -520816, -520814, -520812?\n\"Answer: 2*r - 520824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(96) + sqrt(6)))**2 + 2.\nAnswer: 69\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 213681?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37173536 is divided by 31664.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*m + 10 = 0, n + 3*m - 4*m = 1. What is the units digit of n\/8 + 318\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1489456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from cvycvcvchyv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 2*w + 0*w = -3*w, -4*h + 7*w + 175 = -7*h + 57 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 5) + (-32 - -38 - (23 + -7 + 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 18*d**2 + 3*d + 6. Let q be s(18). Let h = q + -119\/2. Let p = -13 + 11. Which is the nearest to -2? (a) p (b) -2\/13 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*v - 52271 = 1571*v + 13234 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23 = 3*w, 3*w + 1 = 4. Let s(y) = -y**2 + 8*y + 5. Let r be s(g). What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 0*j - 3 + 1\/12*j**2 + 1\/18*j**3. Solve m(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03904 - 51.29904. Let m = -0.8 - 51.2. Let d = s - m. Round d to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 166*q - 480.\nAnswer: -2*(q - 80)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13802.\nAnswer: 2, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289 - 285. Solve 0*m + 3*o + 6 = -3*m, 0 = -5*m - p*o - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.29208 and 7.\nAnswer: -254.04456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4 - 7*j - 3 + 4. Suppose 0*s = -4*s - 8. What is the units digit of x(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n. Suppose -6*t - 2*z - 18 = -t, -4*t - z - 12 = n. Does 10 divide t\/(-8) - 141\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 806099 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + -30 + 35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1702 and -89\/6.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243677 - 3?\nAnswer: -24367a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -36. Suppose -20 = -5*g - 0, 0 = q*r + 3*g + 216. Is (15371\/r)\/(1\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001941611491 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 24*h + 12 = 0. Solve 3*x - x = h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -71*r - 13. Let m be i(3). List the prime factors of 0 + (m\/(-14) - (-7)\/(-49)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -0.3, -1458 in decreasing order.\nAnswer: 5\/4, -0.3, -1458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 25. Let w = -19 + s. Solve -3*b = -u + 18 - w, 4 = -2*b - 2*u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.32 + -1.68. Let j = -59\/60 - -13\/12. Which is the closest to -1? (a) f (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a - 4*a**3 - 8*a**2 + 9*a**2 - 5*a**2.\nAnswer: -4*a*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2010113 - 2?\nAnswer: -2010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**4\/12 - g**2. Let d(p) be the second derivative of -7*p**3\/2 - 116*p. What is d(s(r))?\nAnswer: -42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1199 + 23*d + 1199)*(-d + 2*d**4 - d + 19*d**4).\nAnswer: 483*d**5 - 46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n = 12*n, -6272 = -i - i + 2*n. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.1 + 114. Let v = -6 - y. What is the smallest value in 5, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 4 = 0, 4*a = -5*y + 3 - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/4)\/((2402\/(-3603))\/(2\/(-4)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1a10?\nAnswer: -1a11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704.75273 rounded to the nearest integer?\nAnswer: -1705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -31. Let f = -0.89 + 8.89. Which is smaller: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*u + 491892 - 237*u + 149*u - 491892.\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 93 + -98 + -40.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.59262 grams to nanograms.\nAnswer: 3592620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 4586*r**2\/7 - 2825166*r\/7 + 31517226.\nAnswer: -2*(r - 1101)**2*(r - 91)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*z + 43 - 77, s - 34 = -2*z. What is the remainder when 183 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + q**5 + q**5 + (-2*q**5 - 2*q**5 + 6*q**5)*(1 + 1 - 3) + (-3*q**4 + 0*q**4 + 2*q**4)*(0*q - 4*q + 2*q) + q**5 + 2*q**5 - 6*q**5.\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 27 + 29 = -13*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2769374 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145076 is divided by 360?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1173 bigger than -1183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 116402 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 2\/5, 8, 5, -2\/7, -3\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6))**43 assuming i is positive.\nAnswer: i**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**4\/4 + 34*m**3\/3 - 33*m**2\/2 - 1076. Determine f(33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238 + 226 - 464 + 4*t**3 + 2*t**3 - 2*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3092951002 to the power of 1\/2, to the nearest integer?\nAnswer: 55614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 7, i: 6, n: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 - 444*g**2\/11 + 1800*g\/11 - 1808\/11.\nAnswer: -2*(g - 2)**2*(g + 226)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - 4*t**2 - 799 - t + 13*t**2 - 34*t**2.\nAnswer: -21*t**2 - t - 799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.655873 decades to years.\nAnswer: 16.55873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -11) + (11 - 7) + -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17842.5 * 1106\nAnswer: 19733805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 12. Let x be g(-3). Suppose -3*u - 133 + 628 = x. Calculate the highest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*c**6 - 81*c**2 wrt c?\nAnswer: -25080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = 3*o + 16, -2*o = -2*g + 12. Suppose -g*n = 5*n - 28. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(6\/(-8)). What is the remainder when 47 is divided by (-2)\/(45\/24 + h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 27 - 24 = -2*l, -4*d + 6 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(504)*-5)\/(sqrt(27)\/sqrt(3)*5))\/((sqrt(64)\/sqrt(2))\/sqrt(4) - sqrt(800)*-1).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 24, 25, 26, 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 33. Let k be c\/(-10) - (-5)\/2. Solve -k*z - 17 = -3*w, 4*z - 5*z = -4*w + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -15*c**2 - 2*c - 4. Let f(k) be the third derivative of -2*k**5\/15 - k**4\/24 - k**3\/3 - 3*k**2 - 20*k. Give -11*f(r) + 6*w(r).\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/7 - 1676524*t**4\/7 - 351343266842*t**3\/7 - 702681504120*t**2\/7 - 351339913800*t\/7 = 0?\nAnswer: -419130, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5. Let d = 25 - 25. Let t be g(d). Sort 0, -1, 1, t in decreasing order.\nAnswer: 1, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12331?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -566*l + 1490. Let r(u) = 91*u - 248. What is -4*n(a) - 25*r(a)?\nAnswer: -11*a + 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 15.\nAnswer: 23\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 3*s + 3*s + 4*s**4 - 2*s**4 - 3*s**4 + (-1 - 2*s**3 + 1)*(s + s + s) + 8*s**4 - 3*s**4 - 15*s**4 + s**4 - 2*s + 2*s.\nAnswer: -14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrb when four letters picked without replacement from {b: 2, a: 7, r: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*51*16\/(-24) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -73, -79, -85, -91, -97?\n\"Answer: -6*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 347564788 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:01 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7919 and 2508.\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.13 (c) 1 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 210762577227 and -5.\nAnswer: 210762577222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (6 - 4) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 - 8 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -23. Suppose -11*p + n*p = 84. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yffy when four letters picked without replacement from pyfnfffyfpf.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 7. Let q be u(5). Suppose 2 = -l + 6, q*l + 176 = 4*h. Suppose 0 = -b + 3*s + 54, -b - s - h = -2*b. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q. Let s(t) = 4*t + 13. Let y(a) = 5*n(a) + s(a). Let k be y(5). What is the greatest common divisor of k and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10720 and 10?\nAnswer: 10720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:59 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/x**(-3)*x**21*((x\/(x\/(x*(((x*(x*x*x**(2\/15))\/x)\/x)\/x)\/x*x)*x)*x)\/x**3)**49 assuming x is positive.\nAnswer: x**(-1087\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 84*b - 8820.\nAnswer: -(b - 210)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13775114*a**5 - 29*a + 223679 wrt a?\nAnswer: -275502280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(410\/44 - (-2)\/11). Sort 3, -4, m, 4 in decreasing order.\nAnswer: 4, 3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 6:39 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*z - 138*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2\/1 + 3. What is the second derivative of -6*g - s*g + 9*g - 3*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = v + 2, 0 = -4*g + 3*v + 2 + 5. Put 3, g, -2 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413175723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-39)*9\/15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 71 + 1250\/(-110).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/6 + -5\/3. Let u = -42 - -124\/3. Let k = -0.07 + 0.37. Which is the nearest to y? (a) u (b) 3\/8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*a**2 - 421*a**2 + 587 - 583.\nAnswer: -164*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62957142, 62957141, 62957140, 62957139?\nAnswer: 62957138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8437 and 18155775.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3\/3 - 4. Let q(z) = -32*z. What is q(j(h))?\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5981208052 to the nearest integer?\nAnswer: 1815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.2394022\nAnswer: 0.1197011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-12) - 28\/(77\/(-11)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341427546 or -341427548?\nAnswer: -341427548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305 + 498 + 4*z - 193.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3 - -2) + 5)*(-815)\/(-20).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3192*l = -3176*l - 80 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272890727 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21*((-16)\/6)\/2. Let c = -3805 + 3917. What is the highest common divisor of c and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*n = 297*n - 3*d - 92, -5*n + 129 = -4*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 divide 52809382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/5 - 4041\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6146319 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6593 > 8601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.5 (b) 0.3 (c) 14734\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(-4*sqrt(9)*2).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 157.2. Which is bigger: 18 or b?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032) + -1*sqrt(4032) + sqrt(4032) + sqrt(4032))\/(1*sqrt(729) + sqrt(729)).\nAnswer: 8*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t**3 - 5*t**2 - 9*t - 1. Let s(c) = 6*c**3 + 8*c**2 + 14*c + 2. Determine -8*i(v) - 5*s(v).\nAnswer: 2*v**3 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 224, 356, 576, 884, 1280?\n\"Answer: 44*j**2 + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/120 + g**5\/30 + g**4\/24 + 16*g**3 - 33*g**2. Let j be x(0). Is j > 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -136, -13\/3 in decreasing order.\nAnswer: 1, -13\/3, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6287 + -3372. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 + 438*u + 16591. Give n(252).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1 (c) 1\/5 (d) 65 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 409 = -3*t - 2*t, 2*n - 3*t = -199. Let k = -46 - n. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**3 - 5*t**2 - 4*t + 2. List the prime factors of f(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 138, -37.\nAnswer: -37, -2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-260)\/350)\/((-1)\/(-65)). Let j = t - -48. Which is smaller: -29 or j?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*55\/385*4\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 29*m**3 + 3*m**2 + 3*m - 3. Let q(n) = -1768*n**3 - 182*n**2 - 182*n + 182. Calculate -3*q(i) - 182*s(i).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 102. Suppose 0 = -4*i - 12, -i - 6 = 2*m + m. Let c be (1 + 3\/(-6))\/m. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*w - 20 = 0. Suppose -w*h = -4*u - 168, h + 7 = 4*u + 43. Let g(y) = -22*y**2 + 91*y + 3. Calculate the remainder when h is divided by g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(315) + (sqrt(315) - (sqrt(315) + sqrt(315)*1))*5 + sqrt(315) + 4*-2*sqrt(315) + sqrt(315))\/(sqrt(35)\/(sqrt(605)*2)))*-6)**2.\nAnswer: -47520*sqrt(5) + 78408036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) - sqrt(77)*1)*5 + sqrt(77) + sqrt(77) - sqrt(77)) + 1*sqrt(77)*3 + sqrt(77))*3)\/(-4*(sqrt(700) - 2*(sqrt(700)*-2 - sqrt(700)))).\nAnswer: -3*sqrt(11)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/195 and 2\/143.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2328*d + 2340*d + 7573*d + (-3 + 2 + 0)*(-d - d + 4*d).\nAnswer: 7583*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 2*d + d + (2*d - 8*d + 2*d)*(-13 + 25 + 8) + 2 + 2 - d - 2 to the form u*d + x and give u.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 2*sqrt(80) + 1*sqrt(320) + 5)*5.\nAnswer: 25 + 85*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -3.74, 0, -0.2 in descending order.\nAnswer: 0, -0.2, -1.2, -3.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12466717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -246, 5, 4, -3 in descending order.\nAnswer: 5, 4, -3, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 14. Suppose -v + h = -7. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*g**3 - 4*g + 380*g**3 - 428*g**3 + 4*g.\nAnswer: 182*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -22122333220?\nAnswer: 22122333232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 8420*v**2 + 8413*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 0.4, 5, 3\/13, -2, -4?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 370*l = -375*l - 15, 2*z - 6 = 2*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (41 - ((29 - 18) + -18))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 6. Suppose -a = 5*x - 21. Solve -g**2 + x*g - g - 8 + 7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2836 = -4*j + 2*p, -31*j + 34*j - 2*p - 2129 = 0. Calculate the highest common factor of j and 2323.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-35)\/14*4*-4 and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -17*o + 7*o + 3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/285 and -62\/665.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/23, 0.4, 77, 36, 2 in descending order.\nAnswer: 77, 36, 2, 0.4, 4\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 1053\/(-91) + (-45)\/105.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94222 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.706810211 equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 727156.51 rounded to the nearest one hundred?\nAnswer: 727200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 700*o**2 - 11621*o + 6743. What is c(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29 and -0.5.\nAnswer: 14.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.4 take away 133.90826?\nAnswer: -188.30826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/79979 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 23*j + 6. Determine w(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.025 in -5.7, -0.2, 3\/5, -0.3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 111, 240, 373, 510, 651, 796, 945?\n\"Answer: 2*i**2 + 123*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:36 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5*d + 6. Let l be (-1)\/(42\/15 - 3). Calculate u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 2 + 0 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1796592 divided by -898296?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 + 8*i**2 - i. Let n be o(-4). Solve 3*h - 3*z - z - 14 = 0, -n*h - 5*z = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 3:13 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*w - 16*w. Which is bigger: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -102 and 35347.06273?\nAnswer: 35449.06273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 83. Sort w, 2, 0.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1244322695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43895 by -8779.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65264471\/1945 - 33555. Is d at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose 5*n = q*n + 69. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 2\/13, -5, -2\/23?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 2*i**2 - 5*i + (77*i - 29*i - 14*i)*(i - 2*i + 2*i) to d*i**2 + b + t*i and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 + -84. What is the smallest common multiple of (-1 - -4) + -2 - -11 and u?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 103 + b + 107.\nAnswer: b - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(-1*sqrt(225))*-6)\/(-3*-5*(sqrt(132)\/(-2*sqrt(12)) - sqrt(11))).\nAnswer: -4*sqrt(5)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022121 - -11?\nAnswer: -1022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125811 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 441*k**4\/8 - 3115*k**3\/2 + 442*k**2 - 42*k - 3764. What is w in j(w) = 0?\nAnswer: 2\/21, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -220. Let h = v + 106. Suppose -h*n + 13 = -7. Let p(g) = -g**2 + 5*g + 1. Calculate p(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 + 9 + 6 - 19*o + 2*o wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -83\/4. What is the second smallest value in -1\/3, 5, h, 7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -28*b + 956. Let z be n(34). Let c = -1 - -2. What is the closest to c in 0, 0.01, z?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -754, -2734, -5740, -9532, -13870?\nAnswer: -18514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*l = -28, 2*l = -3*y - 0*y + 19. Let r(m) = 0*m**3 - 3*m**2 + 3*m**y - 2*m**3 + m - 2*m**3. Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-50)\/(-30) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -23*f - 20. Let d(w) = w - 5. Calculate -12*d(o) + 3*h(o).\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 - 10*r**3\/3 - 154*r**2\/9 - 22*r\/3 + 40\/9 = 0. Calculate r.\nAnswer: -5\/3, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*i**2 + 130*i**3 + 143*i**2 - 4*i + 143*i**2 wrt i?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36300 = -20*r - 46*r. Suppose 28*d - 3*d = r. What is the greatest common divisor of d and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*n + 5*q, 3*q - 27 = -9*n + 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108003?\nAnswer: 3, 7, 37, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3273483ug to tonnes.\nAnswer: 0.0000000000003273483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**7\/1470 - j**6\/840 - 6*j**2 + 4*j. Let c(u) be the first derivative of f(u). Factor c(h).\nAnswer: h**3*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.56 and 160.2.\nAnswer: -249.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -162*g - 525. What are the prime factors of y(-23)?\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, -215, -1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 + 35 + 29)*(1 - 1 - m**2) - 3*m**2 + 2*m**2 + 0*m**2 in the form k*m**2 + w*m + g and give k.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840533 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2234 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28128 is divided by 13377?\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5636 (base 15) in base 11?\nAnswer: -12805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -109*l - 56*l. Solve l*b - b - 5*q + 28 = 0, 50 = -10*b + 4*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/12 or -2.661?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5 = 0, 18*s = 14*s - 4*o - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - p = 1728. Let a be 2 - (-7)\/((-7)\/p). What is a rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 1283849?\nAnswer: 1283849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(16)\/(-1*sqrt(8)) - (sqrt(8) + sqrt(8) + sqrt(32)\/sqrt(4))\/sqrt(4)) + -4)*5 + 4.\nAnswer: -20*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -891 + 1490. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.8? (a) 5 (b) -2 (c) 700 (d) -5 (e) -1\/7 (f) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2. Let x(c) = -41*c. Calculate w(x(a)).\nAnswer: -13448*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 9 - 21 = 0. What is the second derivative of -80*m**3 + 30*m**z - 4*m + 37*m**3 wrt m?\nAnswer: -78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5425205?\nAnswer: 5, 349, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 88*b**2 + 191*b. Let q(o) = -1848*o. Calculate m(q(c)).\nAnswer: 300529152*c**2 - 352968*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2603*i + 19200 = 13994 - 105650 - 73957 for i.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r + 210 = 122*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 - 122*y**2\/7 - 1332*y\/7 + 6336.\nAnswer: 2*(y - 66)*(y - 16)*(y + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1180 + -1203)\/((-12)\/(-8)*(-2)\/6)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -248 (base 14) to base 8.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - -94 - -12 - 36?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*f + 22 = 176*f for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 times -5?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8*w + 8 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 6. Suppose v*c - 17*c + 6 = 0. Suppose 4*d + 3*w = -7 - c, 5*w + 15 = 0. Which is smaller: -16\/9 or d?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -8*q - 61. Calculate b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -192, -427, -756, -1179, -1696?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7) - (sqrt(7) + sqrt(112))))**2 + 1 - (2*-2*sqrt(204))\/sqrt(12).\nAnswer: 33\/16 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(1*4\/(-24))*42\/84.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 15) in base 3?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 + 20*l**3 - 225*l**2 = 0. What is l?\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.061 and 0.09.\nAnswer: 0.00549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -16*b - 115. Let a(z) = 7*z + 57. Calculate 9*a(l) + 4*s(l).\nAnswer: -l + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -17, -22 in decreasing order.\nAnswer: 1\/5, -17, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004924 to six decimal places.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -600.6 + 52.6. Let y = w + 548.00000443. Round y to 7 dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220085 smaller than 5220093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 2\/7 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-460))\/(-1*(-17)\/(-935)).\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8609, -34585, -77917, -138605, -216649, -312049, -424805?\n\"Answer: -8678*f**2 + 58*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j + 7. Let v be r(5). Suppose 19*t - 16*t = 6. Suppose 39 = s - 2*a, s = -3*a + t*a + 33. What is the highest common factor of s and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3380469 rounded to the nearest ten thousand?\nAnswer: 3380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:08 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9.2. What is the biggest value in o, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 11 = -5*f, 0*f - l + 9 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qciq when four letters picked without replacement from {q: 1, u: 2, i: 2, c: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.5 + 10. Let k = v + 0.5. Let o = 3.7 - -1.3. What is the third biggest value in -0.5, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.81431704 rounded to three dps?\nAnswer: 48.814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3193 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6224 (base 8) to base 11.\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, o: 6, s: 1, d: 1, t: 6}. What is prob of sequence sotd?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 68*b = -728. Let m(w) = -w**3 - 24*w**2 + 51*w - 25. Let y be m(b). Let l(z) = -z. Let x be l(4). Sort y, -12, -1, x.\nAnswer: -12, x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/9149 and 3\/4.\nAnswer: 36596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 143. Let z = -45 - w. Let m = z + -72.33. What is m rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22403.\nAnswer: 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 14*s - s**2 - 14*s)*(-5*s + 5*s + 2*s**2).\nAnswer: -2*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7.125*-5.8\nAnswer: 41.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 43*n**2 + 13*n. Let b(x) = 85*x**2 + 26*x. Calculate -3*b(u) + 7*y(u).\nAnswer: 46*u**2 + 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 3, 0 = -3*m - 4*q + 1. Which is the nearest to -9? (a) -3 (b) m (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(-1\/6)*q))))**30)**(2\/47)\/((q**(-1))**(-1\/25)*(q**(-1\/4)*q)**(-4)) assuming q is positive.\nAnswer: q**(2228\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b82041 (base 13) in base 3?\nAnswer: 22010100000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**2 - 3*s**2 - 20391*s**3 + 20762*s**3 - 4*s**2.\nAnswer: 371*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 25*h**3\/3 - 1. Let b(s) = 20983*s - 10494*s - 10490*s. Determine x(b(u)).\nAnswer: 25*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -749 + 1901. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 86 = 35*b + 462 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 12*y + 0*y + y + 1636 - 1652. Let o be x(8). Solve 0 = 5*k + o + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/27)*x*x)\/x**(-5)*x**2\/x**(-2\/3) assuming x is positive.\nAnswer: x**(313\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1352 - -37530. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 1\/5, -4, 261?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 + 7*j + 6. Let c be s(-6). Suppose 4*r - 3*w - 17 = c, r - 5*w - 5 = 6*r. Solve r*z - 4*z = b - 5, -b - 4*z = -7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9 + -2 - (-70)\/(-45) and -12\/179.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 7*x + 19, 7*x + 4 = 3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(44\/(-198))*(-22230)\/(-351)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683396435?\nAnswer: 5, 73, 1872319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26938306 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12318*w**2 - 4954*w**3 - 593*w**2 - 6505*w**3 + 7932*w**3 wrt w.\nAnswer: -21162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:32 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1681 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)**(-2)*(x**(-1\/5)\/x)\/(x**(-4)*x) assuming x is positive.\nAnswer: x**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-37) - 21)\/(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:04 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1070834537 and 1423.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048 - 1605 = 155*a + 737 - 1375 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j**3*k**2 - j**3*k + 38*j**3 + 3*j**2*k**2 - 4*j**2*k + 90*j*k**2 wrt j?\nAnswer: -48*k**2 - 6*k + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2 = -0*a - a, -a + 5*l + 2 = 0. Suppose 4*z - 22 - a = 0. Let g = 9 + z. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20371*b**2*y**2 + 13*b**2 + 396*b + 2 wrt y.\nAnswer: 40742*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -76127\nAnswer: -152254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6232 - 220?\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 11*n**2 + 19*n + 10. Let s be -9*(2 - 0)\/2. Let o be z(s). Suppose -4*h = -4*w - 36, -h - 1 = 2*w - w. Put w, 4, o in descending order.\nAnswer: 4, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/14 - 43\/126. What is the second biggest value in 4, q, 3\/7, 0.13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 11*a - 7. Let i(b) = 12*b - 8. What is -7*g(j) + 6*i(j)?\nAnswer: -5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 2. Let w = 9185.4 - 9185. Let l be ((-2)\/5)\/((-6)\/10). What is the second smallest value in l, w, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 495 + -2472\/5. What is the closest to -0.1 in 4, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 21. Suppose l = 6*v - 3*v - 4*i, -29 = -5*v + i. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (45 + -22 - (-2 - -12)) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8081054, -16162108, -24243162, -32324216, -40405270, -48486324?\n\"Answer: -8081054*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -7*n - 63. Let m be -1 + 1 + (-20)\/n. Solve 3*q = -m - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2424?\nAnswer: -1\/2424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 7 = 5*u, 11990*m = 11989*m + 2*u - 4*u - 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*u + 15, 5*u + 4*t = -6 + 31 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20405 is divided by 9997?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21374*p**3 - 4*p**2 - 12*p + 1016.\nAnswer: 128244*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 643946 divided by -2.\nAnswer: -321973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23*f**2 + f + 7. Suppose 1 = -5*y - 3*m, 5*y = 3*m - 0*m - 19. What is the units digit of l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2\/5, -5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 19 = -45*c + 40*c, 3*c - 11 = 5*q. Let l(m) = -25*m - 208. Give l(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 25 + 106 = 4*y, -3*w = 4*y - 41. Suppose o - 3 = -2*o. Let p be (-14)\/(o*(-6)\/15). What is the greatest common factor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23*t - 15. Give q(-6).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.058 (b) 4 (c) 28 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 5*x = -14*k + 155, -4*x = 2*k - 56 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -28.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/3780 + g**6\/810 - 37*g**3\/6 - 38*g. Let r(b) be the second derivative of j(b). Solve r(i) = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/309, -18\/13, -0.5, -1\/3?\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 298561305 divided by 13069\nAnswer: 22845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/6*(33 + 4641\/(-133))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 5*v + 6. Let i be (-1)\/(-2) - (-81)\/18. Let m be y(i). Let c be (14\/m)\/((-9)\/189). What is c rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2135*l**3 - 3425?\nAnswer: 6405*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:27 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 63 + 3*y - 4*y - 54. Let q(u) = 5. Let p(t) = t + 1. Let l be p(4). Determine l*q(g) - 3*c(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 129 + -136 + (0 - (0 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 19 + -8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/2)\/52)\/(((-19053)\/522)\/73)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r. Let m(x) = 2 - 24*x**2 + 10 - 9 - 3. Give m(k(z)).\nAnswer: -864*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/13546 and 75\/14.\nAnswer: 94822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1359 and -115\/6.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 99\/6 - 21\/14. Let b(p) = p + 21. Is b(t) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 93*q + 72. Let o be i(47). Sort 3, o, 2, 4 in increasing order.\nAnswer: 2, 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -480, -1151, -1820, -2487, -3152, -3815, -4476?\n\"Answer: d**2 - 674*d + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 - 42. Let d be y + (-2 - -7 - -63). Let c = 291 - d. List the prime factors of c.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*b**3*w + 26*a**3*b**3 + 8*a**3*b - b**3*w + 2*b**2 + 5*w wrt b?\nAnswer: 12*a**3*w + 156*a**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21200311 - 254544307\/12. Let g = u + 11721. Find the common denominator of g and -55\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/12 + 7*x**3\/9 - 5*x**2\/2 + 3*x + 6. Let l(k) = 0. Calculate k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7446*s**4 + 87*s + 2480141 wrt s?\nAnswer: 29784*s**3 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*v - 0*y + 684, 3*y = 3*v - 513. Let p = v + -1195\/7. Let m = 0.04 + -0.54. Which is the nearest to -1? (a) -6\/11 (b) m (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301.04 - -301. Let w = -3 + 3.2. What is the closest to 1 in w, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*g + 33*g + 479802. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -8) + 6 - (-95 - -132).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v**2 - 12*v + 80. Let m be x(-8). Calculate the highest common factor of 217 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665008.9 kilometers in millimeters?\nAnswer: 665008900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncvf when four letters picked without replacement from ffnncfncnvf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 7:03 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -916.\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 65, 120, 187, 260, 333, 400?\n\"Answer: -p**3 + 15*p**2 - p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338922612?\nAnswer: 2, 3, 7, 192133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 48\/5, -55\/6, -5, 2, 0, -0.3 in decreasing order.\nAnswer: 48\/5, 2, 0, -0.3, -5, -55\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 268 + -265. Find the second derivative of -68*u + 52*u**o - 3*u**3 + 29*u**3 - 6*u**3 wrt u.\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3480188 divided by 4.\nAnswer: -870047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 46330 + 550666 = -3*v, 5*k + 20 = 0. Round v to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67154 - 122477. Let n be m\/(-76923) + (-1 - -2 - 1). Let q = -2\/407 + n. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (309\/6)\/(61 - 41) and -77\/135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l - 612. Determine i(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54 + -16 - -11) + 5 + (-14 - -4).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*k + 184, 554 = 5*w - 4*k + 97. Let g = 142 - 69. Let t = w - g. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 55.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.3, 8, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1321, 2648, 3973, 5296, 6617, 7936, 9253?\nAnswer: 10568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 104809 (b) 6 (c) 0.2 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a832 - -5?\nAnswer: a837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 37. Let m = 2.6 - -0.4. Which is the second smallest value? (a) s (b) 19 (c) m (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -14 + 25 + -3 + -2 - -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13050628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - 889.\nAnswer: -947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*k - 4*c - 104, -220*k + 215*k + 4*c = 10 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31313023 + -3?\nAnswer: 31313020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -183 + 213. Let z(j) = 5*j - 20. Let u be z(4). Solve u = d*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 163 - 396)*(-3*u + 3*u - 2*u).\nAnswer: 440*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -7, 10193 in descending order.\nAnswer: 10193, 4, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*q*w + 2816227*m**2*q - 2*m*q + 18271987*q*w wrt m?\nAnswer: 2*q*w + 5632454*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8866.433 years in centuries?\nAnswer: 88.66433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 592.9894784 and 0.139?\nAnswer: 592.8504784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 433\/1077 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 8*d = -98. Let a = -48 - d. Is 14 a factor of (a\/(-3))\/(((-16)\/1812)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, i: 3}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476983735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*v - 209*v + 688. Suppose 5*p = -3*i - v, -p + 5*p = -16. Which is the third biggest value? (a) -2 (b) 0.5 (c) -1\/3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 - -5. Let y = q + -1.2. Is y less than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/(-16) - -7)\/((-3)\/(-16)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0.1, 13, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-6)\/p)\/p)\/p)\/(p\/p**(-3\/7)))**(-2\/63) assuming p is positive.\nAnswer: p**(146\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1483 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6861 (base 12) to base 16\nAnswer: -2d49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 58129.646 to the nearest 1000.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**25*x)**(-1\/40)\/(x**(-2\/39))**23)**(20\/11) assuming x is positive.\nAnswer: x**(787\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1110032702682973188\/107987 + -10279317905811. Let z = q + -3\/9817. Let u = z - -20795\/198. Find the common denominator of u and -17\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (3 + 3*(2*sqrt(80) + sqrt(80)) + 1)**2).\nAnswer: 1152*sqrt(5) + 25988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*1\/4 - -1. Suppose 0*z + 436 = n*z. Suppose -2*g - 4*r = -z, -3*g - 3*r + r + 335 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 55)\/(-2*(-2)\/(-2)). Suppose -j = 3*j + 5*w + y, -5*j + 4*w = -20. Solve g + 3 + 2 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22176 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-205)\/164)\/((-2)\/432). Suppose 0 = -5*x - n + 1780. What are the prime factors of x?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + (-12 - (5 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001112 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5 - 3. Let i be (l\/(-4))\/((-2)\/128). Let s = i + 60. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 60 = 5*g, 0 = 2*j + 26*g - 27*g - 21. Calculate the greatest common factor of 1521 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 49. Suppose -g*t - 15 = -10*t. Let v(x) = x**2 + 8*x + 12. Let q be v(-6). Put t, q, -5 in ascending order.\nAnswer: -5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(18))\/(sqrt(99)*5 + sqrt(11)).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152\/32 + (-1)\/(-4). Suppose 0 = a - 2 - z. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 2.58. Let p = 0.04 - -0.04. Let z = p + q. Sort z, -1, 0 in descending order.\nAnswer: 0, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023711?\nAnswer: 3, 13, 26249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -419.18, 2\/3, -5?\nAnswer: -419.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5e73b8 + -87?\nAnswer: 5e7331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7491 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 163781742 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106454 and 909?\nAnswer: 958086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*o + 70. Suppose 3*h + 6 = o. What is the highest common divisor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*84\/32*((-176)\/33)\/4.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1856*z**3 + 1200*z**3 + 662*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*i + 11 = -i, -2*g + 31 = -5*i. Suppose -38 = -5*w - g. Let s be ((-1)\/(-2))\/(6\/24). Solve n + 11 = s*n - w*c, -n + 7 = -3*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 (base 4) in base 15?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3223 + 6976. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221680780 rounded to the nearest 1000000?\nAnswer: 1222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.515 (b) 5 (c) -10 (d) -2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120457 is divided by 625.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 - s. Let d be a(2). Suppose 2*z + d = -z. Calculate the lowest common multiple of 12 + (-5)\/(z\/(-4)) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(39*11\/(-22)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-1*sqrt(324) + sqrt(324) + sqrt(4)) - (-3 + (sqrt(55)\/(-2*sqrt(11)))**2).\nAnswer: 7\/4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*y**4 - 6271*y**3 + 4549806 with respect to y.\nAnswer: -804*y**3 - 18813*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -134 (b) 1\/8 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 834924 or 834842?\nAnswer: 834842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 12 = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -39. Let m be (1*-1)\/(x\/70). Suppose -5*z = m*u - 825, -5 = z - 3. Calculate the remainder when u is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence laa when three letters picked without replacement from {a: 18, l: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/4)\/i*i)\/i)\/(((i*i\/i**(-2\/3))\/i)\/i))\/(i**(2\/5)*i*i\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-289\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -10 + 2\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 + 1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 25*x - 191 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = 23*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4 + -1 + 124. Find the common denominator of (-2)\/(-9) + 497\/v and -59\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 69 = -163. Suppose -152*q + 8255 = -139*q. What is the remainder when q is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**5 - r**4 - r**2. Let l(b) = 20*b**5 + 14*b**4 + 56*b**2 + 2*b. Let a(x) = -l(x) - 12*s(x). Find the third derivative of a(f) wrt f.\nAnswer: -480*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22942 + 62?\nAnswer: 229a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + 496*t**3 - 948*t**3 + 450*t**3 - 2 - 2*t**4 + 154*t - 2*t**2 in the form z*t**3 + g*t + h*t**2 + y + s*t**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + y - y + y to b*y + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -4.99. Let m = n - 0.99. Suppose 4*d = 5*a + 32 - 8, -5*a + 3*d - 23 = 0. Put 0.2, a, m in increasing order.\nAnswer: a, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 0\/(0 - 2). Let q(x) be the second derivative of 2\/21*x**4 + 0 + 1\/105*x**6 - x + 0*x**v + 2\/35*x**5 + 0*x**2. Determine y, given that q(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*v**6 + 218*v**2 wrt v.\nAnswer: -18480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-80))\/(101\/(41208\/51))\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7}. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -162253 or -162254?\nAnswer: -162254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90439690 by -22.\nAnswer: 4110895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -274*u**3 + 11*u**2 - 11*u - 20. Is z(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117472 + 0.1\nAnswer: -117471.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17624*z**5 - 634468*z**4\/3 + 475832*z**3 - 246700*z**2 - 56*z\/3 = 0. Calculate z.\nAnswer: -14, -1\/13218, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 3, -0.5, -0.0003?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 50 = -3*b - 33, -3*u - 15 = 0. What is the remainder when (2 - b\/4)\/((-7)\/(-84)) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and -76457437.\nAnswer: -76457450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11530 + -6603. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u + 0*u + u)*(-2*u - u + 2*u) - 5*u**2 + 5*u**2 - 2*u**2 in the form l*u**2 + n + q*u and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*x = 307, 10184*v - 10185*v + 207 = -2*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.15, -3?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -4.33?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, k: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -97540*c. Let b(t) = 12*t. Calculate y(b(d)).\nAnswer: -1170480*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11025267 (base 9) to base 15\nAnswer: 704a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 320\/16 + (2 - -1). Solve 24*j - 2 = i*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 36 + 62 = 0. What is the highest common factor of u and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2730983, 5461925, 8192867?\nAnswer: 10923809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 6613?\nAnswer: 6577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 617737504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-7) + (-20)\/70)*2. Put n, -5, 5 in descending order.\nAnswer: 5, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2256 divided by -6.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:27 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzwzzzwzzzzz. What is prob of picking 2 w and 2 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**2. Let c(n) = 16*n**2. Calculate v(c(s)).\nAnswer: 1280*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 12*y - 14*y)*(7*y - 7*y + 7*y)*(-2 - y + 2).\nAnswer: -21*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 11*z**2 + 43*z + 6. What is the lowest common multiple of y(9) and 15?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-10) - 4\/10. Is 9 a factor of (-22)\/(-8)*(i + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28757073, -57514143, -86271213, -115028283, -143785353?\nAnswer: -172542423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -324788, -1299064, -2922858, -5196170, -8119000, -11691348?\nAnswer: -15913214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 280\/(-200) + (-108)\/(-20) + -2. Solve 0*h**3 + 0*h - 3\/7 + 6\/7*h**j - 3\/7*h**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44968 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 9*f = 214*f + 2088800. What is f rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (12 + -12)) + 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 303679 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3)\/n)\/n)**34)**31 assuming n is positive.\nAnswer: n**(-4216\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4678299 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.03 - 0.03. Suppose -40 = 5*y + 3*v, 4*y - v - 27 = -42. What is the second biggest value in 0.2, y, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*i, -4*i + 24 = -5*k - 8*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 261, -2\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 + -152. Solve -8 = 6*y - c*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/4 + 3*c**3 + 11*c**2\/2 - 9*c - 1. Give y(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218791.83399928 + 218804.834. Let b = 13 - l. Round b to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*m*m\/(m\/(m*m\/(m*m**0*m)*m*m))*m*m*m*m**(-1)*(m*m\/((m\/(m\/m**3*m*m))\/m))\/(m*m**(2\/17)*m) assuming m is positive.\nAnswer: m**(134\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*u + 9, 6*u + 4*h + 28 = 10*u. Solve 0*b + u*b - 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 475 and 12\/54 + 6448\/144?\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.5 (c) -8 (d) -2 (e) -5 (f) -161 (g) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26. Suppose z - u + 4 = 13, 4*z + u = y. Suppose z*d - 18 = d. Solve -2 + 1 = t, -d = -l + 2*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 8 = 4*h, 4*y - h - 1 = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3)\/b)\/b)**(2\/19)\/(b\/(b*b\/(b\/b**5))*b)**(-3\/38) assuming b is positive.\nAnswer: b**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -18*u**3 + 1076*u - 11. Let o(d) = -7*d**3 + 360*d - 4. Determine 4*n(g) - 11*o(g).\nAnswer: 5*g**3 + 344*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*q + 5524 = 47*q. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - f + 13. Calculate c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -302*g**3*s**2 - g**3*s - 63*s**2 + 2*s wrt g.\nAnswer: -906*g**2*s**2 - 3*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 7 - 5 + 0 + 4 + (-1 + 3 - 3)*(-1 + 5 - 2))*(-24*p**3 - 462*p**3 - 147*p**3) as r*p**3 + n*p**2 + u*p + b and give r.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -4, 2, 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**2. Let b(p) = 4*p. Let r(g) = -3*g + 51 - 51. Let i(o) = 2*b(o) + 3*r(o). Calculate i(j(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320285 to the power of 1\/2, to the nearest integer?\nAnswer: 3365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4 + 10 = 0. Suppose -41 = -u + t*c, -3*u + 6*c = 2*c - 115. Calculate the remainder when u is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(1 - (-6)\/(-5)). Let r = -57 - -53. Let q be (3\/r)\/((-5)\/10). Is b < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:41 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:32 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -10447.\nAnswer: 6\/10447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -28*p + 397. What is y(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 3*p**2 + 7*p - 5. Suppose -2*s - 5*r - 8 = s, -s - 2*r = 4. What is a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**2 - 3*t**3 - t**2 + 2*t**2 - t**3 wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10038\/120)\/(353\/(-4)). Let o be 4\/2*18\/(-16944). Let j = d + o. Calculate the common denominator of 5\/22 and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.25 + 0.05. Let b = 129 - 141. What is the second biggest value in b, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27098430 divided by -10\nAnswer: 2709843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x + 922. What is the units digit of v(-92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z - 21. Calculate the remainder when 23 is divided by k(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 618.\nAnswer: 3, 13, 618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n**3 - 10*n**2 - 38*n + 5. Let m(r) = -2*r**3 - 2*r**2 + 1. Let k(l) = a(l) - 5*m(l). What is the second derivative of k(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*s - s - 5, -4*s + 1 = -y. Let o(g) = -g - 1. Let k = -11 + 5. Let w be o(k). Solve -w = 3*h + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-30))\/((-1782)\/(-387585))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3865543 to 4 decimal places.\nAnswer: -0.3866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(40*w - 100*w + 40*w)*(101*w - 12*w**3 - 101*w).\nAnswer: -240*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -18*q - 4*q**3 + 19*q - 5 + 4 - 2*q**2. Let p be (1 - -4)*(-4)\/10. Is t(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) + (-129)\/(-2). Let z = -24 + i. Let j = 4 + 1. What is the highest common divisor of z and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 31.19.\nAnswer: -93.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 414856*f + 1659392.\nAnswer: 2*(f - 207424)*(f - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -131549 and 0.6?\nAnswer: -78929.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811453963.\nAnswer: 11, 79, 257, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -744*i*q**3*y - i*q*y**3 + i*r - 2*i*y - 8*q**3*r*y**3 + 10*q**3 + 2*q*r*y - 2*y with respect to i.\nAnswer: -744*q**3*y - q*y**3 + r - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2726)\/188 + 14 + (-17)\/(-36).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -38. Suppose -x*p + 112 = -95. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, z: 3, e: 3}. What is prob of picking 1 o, 2 z, and 1 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -2, -13\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 0, -w + 0 = 2*d + 14. Let u = w - -18. Solve r + u*r = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**5 + 1008*y**4 + 11736*y**3 + 52272*y**2 + 104004*y + 77760 = 0.\nAnswer: -240, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 5*r**2 - r. Let l be d(-3). Let v = l - 7. What is the units digit of v\/2 + -2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 21*a**2 - 20*a + 9. Let w be x(20). Let s = w - -46. Is 55 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose -22*o + 24*o - m = 0. Solve -o*b - 8 = -6*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94563 is divided by 9981?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.585228 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*z = -232*z - 612. Let p be (-3)\/1*(-34)\/z. What is the third biggest value in -10, p, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(d**5 - 3*d**5 - 3*d**5 + (2*d**2 + 4*d**2 - 4*d**2)*(-2*d**3 + 0*d**3 + 3*d**3) + 4*d**5 + 2*d**5 - 4*d**5).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843.433g to tonnes.\nAnswer: 0.000843433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - s + 8 + 52 = 0, 3*j + 2*s = 43. Calculate the remainder when 459 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.624495 plus 0.08?\nAnswer: -6.544495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - -5 - (1 + -13). Suppose -2*a - 2*a = -120. Suppose -m = -0*m - a. What is the highest common divisor of f and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6108376*i**2 + 42758630*i - 14 = 0. Calculate i.\nAnswer: -7, 1\/3054188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 325 = 11*n. Let v = 23 + -16. What is the remainder when n is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -848 greater than -870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6337481 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 764094151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -2. Let s = 98 - 93. Let x be -1 - (46\/14 + -4). Which is the nearest to x? (a) s (b) 0.02 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ccccccccwcwcc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**2 + 5*h - 49*h**2 + 30 + 24*h**2 - 5 - 2*h to x*h**2 + k*h + z and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2743*h + 294354 = 344*h + 988*h + 191*h for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8223\/12527 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 - 40322430*o\/7 + 406474590276225\/7.\nAnswer: (o - 20161215)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101000000 (base 2) in base 14?\nAnswer: 6c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*r + 27, -8*v - 21 = -6*v + 5*r. Suppose 8 = 4*k - 0*k. Suppose -7*s - 36 = -25*s. Solve -l - s*y + k = 1, v*l = -2*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452*m - 443*m = -171. Put 3, 4, -5, m in ascending order.\nAnswer: m, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3576550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:19 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/252 and 1\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 5*a**4\/24 + a**3\/3 + a**2. Let k = 8225 + -8222. Calculate the remainder when 65 is divided by j(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -10*w + 21*q, 114*w - 117*w = -4*q + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19712 = -356*f - 105*f - 155*f for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*o - o**3 + 34*o**2 + 4*o**3 + 13*o**2 - 74*o**2 wrt o.\nAnswer: 18*o - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 + 301. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*((sqrt(144) - sqrt(144)*-4) + sqrt(144))\/sqrt(9))\/(sqrt(4608)*3))**2.\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, -1404, 0 in descending order.\nAnswer: 13, 0, -4, -1404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2305.538 litres to millilitres.\nAnswer: 2305538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5831\/3 (c) -1\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/7, -2, -0.016 in ascending order.\nAnswer: -2, -2\/7, -0.016, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 502225852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1612971, 1613084, 1613255, 1613472, 1613723, 1613996?\nAnswer: 1614279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -62.68761+-10651452\nAnswer: -10651514.68761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*y + 30, -2*y + 4*y + 22 = 3*t. Let a = 15 - 10. Solve t*i - i - 6 = 3*s, 5*i = -a*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485090?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {i: 1, n: 1, e: 1, d: 6, v: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b**2 + 58*b**2 - 125*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 22 + 2 - 29 + 3. Let m = 4 + 2. What is the lowest common multiple of f(19) and m?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/9 (b) -4 (c) 0.4 (d) 1\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2.4 (b) 68.278 (c) 2\/3 (d) 0.5 (e) 0 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 p when four letters picked without replacement from kkkpkkkkppkkkkkkkk?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p - 6. Let x be t(6). Let g = 101 + -91. Suppose 0 = -3*h - g*h + 117. Calculate the greatest common divisor of x and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*q + 28, -3*a - 6*q + 21 = -4*q. Let u = 12 + -11. Suppose -a = -4*p + u. Solve -p = n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37969 * -20.\nAnswer: 759380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9227526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 10*c. Let x(z) be the third derivative of 0*z**3 - 203*z**2 + 0 + 0*z - 5\/8*z**4. Calculate n(x(j)).\nAnswer: -150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 198383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((1 - -56592) + (-6)\/6). Let i = 2263757\/40 + p. Calculate the common denominator of -29\/30 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64113 (base 7) to base 6\nAnswer: 201153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 472 = 3*z, 6*z + 452 = 2*m + 4*z. Calculate the greatest common factor of 40 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235 + 225 - (-7 + 1)) + (1 - -31).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u + 15. Suppose -5*n + z + 18 = -2, 10 = u*n - z. Solve -n = -2*a + w, -a + 25 = a + 3*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970060.381 rounded to the nearest 1000?\nAnswer: 1970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 4 = -17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1649022166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 531047 is divided by 174?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 21278296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 38*i**2 + 1489*i - 496. What is m(-62)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*d + 14*d - 8*d**2 - 13*d**3 - 26*d wrt d.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -1\/20*x**5 - 5\/12*x**4 + 1 + 0*x**3 + 3*x**2 + 40*x. Calculate j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91618188 to the power of 1\/2, to the nearest integer?\nAnswer: 9572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20552 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*w = 144 + 58 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40495216 and 2684?\nAnswer: 445447376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-162)\/(-10) - 24\/30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009742 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*((-2 + 1 + 3)*(-4 + 0 + 3) - 2 + 4 - 1)*(-199*q - 1608*q - 362*q).\nAnswer: -4338*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 16956040?\nAnswer: 33912080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 35*s**2 + 14*s - 303. Determine f(35).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57872\/20 + (-117)\/45 + 3?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 100\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -31. What is the tens digit of (x + (-411)\/(-9))\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 14575 = 18830. Is l a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**2 + q**2 - 6*q**2 - 5*q**2 + 7 to the form o*q**2 + y + h*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 917038 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 39.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 - (8 + 19) - 0\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -407396928 and -13.\nAnswer: -407396941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 + z**4\/4 - 31*z**3\/6 - 3*z**2. Suppose -51 - 19 = -7*t. What are the prime factors of v(t)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**2 + 3*n**2 + 2*n**3 - 81*n - 100*n - 98*n + 300*n to u*n + z*n**2 + v + t*n**3 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/10 - n**4\/3 - 7*n**3\/6 + 4*n**2. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + g + 25 = 0, 8*g + 5 = -f + 6*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4105*a**3 + 6*a**2 - 3*a + 3. Let k(g) = -1822623*g**3 - 2662*g**2 + 1331*g - 1331. Calculate -6*k(b) - 2662*m(b).\nAnswer: 8228*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206915, -411938, -616961, -821984, -1027007, -1232030?\nAnswer: -1437053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3223254 millilitres in litres?\nAnswer: 0.0003223254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931965836*y**2 + 931965836*y**2 + 3702*y**3.\nAnswer: 3702*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8.507 times 0.3\nAnswer: -2.5521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15400, 30799, 46196, 61591, 76984, 92375?\n\"Answer: -s**2 + 15402*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 13.2. Which is the third smallest value? (a) -2\/23 (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:31 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:45 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -10*h - 70. Suppose -2*j = -3*z - 3*j - 16, -20 = -4*j. Let u be y(z). Solve 2*m + 4*l = -16, 4*m - m + 2*l + 12 = u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3 - m**4 - 27*m**2 + m**3 + 2*m**4 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*b = 1676 - 2148. Solve -b*x + 20 = 0, -4*x + 44 = -140*l + 143*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(310\/2325).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 67 - 3*g + 6*g - 3*g.\nAnswer: g + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-9))\/((-4)\/(-24)) + -68. Let u = i + 61. Let p(f) = f + 12. Give p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 8:39 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1452, 1450, 1448?\n\"Answer: -2*f + 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 4*z**2 + 5*z - 1. Let q(r) = -r + 2 + 5 + 5. Let g be q(9). Let j be -10*(g - (-7)\/(-2)). What is x(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1132 - 176 = -6*m. Let s = m + 161. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9 (b) -142.5 (c) 1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 - i - 4. Let a(p) = 30*p**2 - 5*p - 21. What is 2*a(t) - 11*d(t)?\nAnswer: -6*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108265 - 3*h**2 - 108265.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 570312217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - q - q - 5539 - 27*q**2 + 2*q**4 + 5541 - 2*q**2 in the form s*q**2 + o*q**3 + y + x*q**4 + u*q and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1145, 4563, 10251, 18203, 28413?\n\"Answer: -z**3 + 1141*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*c + 367 = p, 0 = -5*p - 2*c + 1871. Suppose 3*w = q + 293, -5*w + 110 + p = -q. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*q**2 + 58*b**3*q - 39*b**3 + 137*b**2*q - 3*b*q - 2*q**2 + 11*q wrt b.\nAnswer: -12*q**2 + 348*q - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11548 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 6*b - 5. What is f(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a47 - 204?\nAnswer: 2843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*g - 20 = 0, -3*g + 5*g - 20 = -4*y. Suppose -3*t + 21 = y*t. Solve -4*k + 23 - t = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602911721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53138 rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -55, -96, -143, -190, -231, -260?\n\"Answer: p**3 - 12*p**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1069122*r**2. Let x(o) = -7*o**2. Calculate p(x(j)).\nAnswer: 52386978*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25\/6 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 321 + -11?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/40 - (-6)\/15. Let h = -25\/4 - -51\/8. Let b = -1\/24 - -13\/24. What is the nearest to 1 in b, h, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 50*u**2 + 3351*u - 162. Determine x(88).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(8\/(-1240)). Is 79 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m*m**(-2\/5))\/m))\/m**(-4\/3)*m**(3\/8)\/m*(m\/(m*m\/(m\/m**(-2\/11))))\/m assuming m is positive.\nAnswer: m**(383\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u + 3*u**2 + 2\/3*u**3 - 1\/60*u**5 + 14 - 1\/6*u**4. Let p(m) = 3*m**2 + 9*m - 9. Give 9*j(w) + 4*p(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7*y + 7*y + 4 = y + 5*v + 20, 7*v = -39*y + 280 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 5*t + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 0, 4*r + 0*l - 56 = -5*l. Let j = -7 + r. Suppose -2*u = -3 - j. Solve -u + 3 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*h**3*n**3 + 2*h**3*n*o + 19881178*h*n**3*o + 2*h*n**2*o - 631719*h*n**2 - 68*o wrt n.\nAnswer: 120*h**3 + 119287068*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21255, 21254, 21253, 21252, 21251, 21250?\n\"Answer: -l + 21256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 30. Suppose f = 2*r - r - 6. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 7786?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1728?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249069115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 19*f = -133. Suppose 22 = 3*b + f. Solve 3*l + v = -11, -2*v = -3*l + 3 + b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 712*y + 119889. Determine c(-273).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.8 + 8.8. Which is the third smallest value? (a) 1\/6 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4*h**6\/27 - 6*h**5\/5 + 3*h**4 - 86*h**3\/27 + 4*h**2\/3 + 29. Suppose i(d) = 0. Calculate d.\nAnswer: 0, 3\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -27 + 21 + (2 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-475)\/(-10)*(-4)\/(-5) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 7. Determine g(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92235369 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(160))\/((sqrt(7)*4 - sqrt(7))*5 + sqrt(7)))**2.\nAnswer: 1\/2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -580571568 divided by 2724?\nAnswer: -213132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/65 (b) -2\/9 (c) -3 (d) 0.4 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 168644 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 20*y - 74. Let z be l(23). Suppose 3*u + 10 = 2*v - 2, 3*v + 8 = -2*u. Sort u, z, 2 in descending order.\nAnswer: 2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-3)*(2 - -1). Solve -w*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.36 from 77.16954.\nAnswer: 76.80954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4708, 9418, 14128?\n\"Answer: 4710*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddt when three letters picked without replacement from vjuxtxujduxuxuutd?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 1, -6, 38 in increasing order.\nAnswer: -44, -6, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 - 3 + 3760*h**2 - 1867*h**2 - 1852*h**2 to the form u*h**2 + p*h**3 + a + k*h + d*h**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/9 and (-30)\/14*2 + -3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 1, c: 1, w: 1, j: 2, b: 1}. Give prob of sequence pwpj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 5, -4, -21, -46, -79, -120?\n\"Answer: -4*a**2 + 11*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 3 - -3 - 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 - (-1 + 1)) - -16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b**2 - 1 + 4*b + 8*b**2 + 6*b - 14*b - 2*b**3 to q + i*b**2 + d*b**3 + t*b and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 952067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.09016, 1\/2, -0.2, 2, -3, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20660068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112583 is divided by 56162?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/5*((-11977)\/(-3132) + (-4)\/54). Suppose 3*q - 2*q = 3. Solve -y*h - q = -4*a, 3*a = -h - h - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -151, -161, -171, -181?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31186 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*n**3 + 4*n**3 + 16*n**3)*(-7107 + 3297 + 3406) to the form k*n**3 + d*n**2 + g*n + f and give k.\nAnswer: 4040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5686334 less than -5686318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*i**2 - 128 + 353 - 73 + 2*i - 126 as t*i**2 + y + n*i and give t.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/2*2\/(-3). Let u = 10 + v. Suppose -b + 16 = u*b. Solve -c - 8 = -3*g, -b - 6 = -3*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 15. Let t = -9 - a. Let m = 34 + t. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 56. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20*x + 15*x = 3221561, -5*x = u - 1073867. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 73. Solve -4*w + 5 = -3*f, 5*w - j = f + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/((-49)\/140 + 3\/4). Let t = -72 - y. Solve -3*f + 26 = -5*o, -5*f - 3*o - 5 + t = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. Let k = 57.4 - 53. Let j = k - 4. What is the smallest value in -0.4, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*x + 21420 = -127*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4218311 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/2*(-208)\/(-12).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5763 = 7*f - 4226. List the prime factors of f.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 401, 2, -4 in decreasing order.\nAnswer: 401, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2754607 or 2754606?\nAnswer: 2754607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 163.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*r - 34. Let j = r + 21. Solve -5*u + 13 = 3, 3*u = j*p + 26 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168.64 + 166. Let x = r + 2.34. What is the nearest to -6 in x, 0, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 6:23 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 133 (b) -4\/5 (c) 13 (d) -5 (e) -21 (f) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-3\/4))**36*(d**(2\/5))**41 assuming d is positive.\nAnswer: d**(397\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(17) + 1)*6 + 4*((sqrt(17) - (sqrt(17)*-3*-6 + sqrt(17)))*4)**2.\nAnswer: -30*sqrt(17) + 352362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.62 - 0.08. Let x = -0.76 - z. Is x greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0*n + 0*n)*(n - n + 3*n)*(4 - 1 - 1).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/9*-4 - -2. Let u be 65\/220 - 2\/8. Let k = u - 7\/33. Which is the closest to n? (a) 0 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 5 - 88\/160 and 17\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32320 divided by 4?\nAnswer: -8080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26971 and 30824?\nAnswer: 215768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2 + -1)\/2. Let k = -0.15 - -0.23. Let x = -0.08 + k. Which is the closest to x? (a) r (b) 4\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s*w**3*x - 172*s*w - 1461*s*x + 12*s + 2*w**2*x + 14409513*w**2 - w*x + 2*w - 2*x wrt w?\nAnswer: -12*s*w*x + 4*x + 28819026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 16 (c) -0.5 (d) 2\/25 (e) 2 (f) -6\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*a + 8 - 12, a = -4*w - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 24 = 3*s, -5*w - 2*s = -28 + 57 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 2\/5 (c) 30432 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3, -5*i + 0 - 5 = 5*f. Let j = 0.21 - 0.06. Let m = -0.05 - j. Which is the smallest value? (a) -8 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2572337\nAnswer: 5\/2572337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 4*s**2 - s**2 + 6*s**2 - 2*s**2 + 2. Let c(h) = h**3 - h**2 + h. Let r(y) = -c(y) + g(y). What is the derivative of r(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1369773\/797 or 1719?\nAnswer: 1369773\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43569 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -2 - (6728\/(-40) + (-4)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5 - -1 - (9 + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 3 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -8. Suppose -2*d = -6*m + 2*m, 2*d + 5*m = y. Let l = -6 + 25. Solve -d*u + 5*g = 12 + 13, g = -4*u - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d4 - 6a9a?\nAnswer: -68a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 c when three letters picked without replacement from ncnccgnc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - 4*h + 2. Let o be f(0). Let q be 1\/((-1)\/o*4). Which is the closest to 0? (a) q (b) -0.1 (c) 2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.9, -6\/5, -15 in increasing order.\nAnswer: -15, -6\/5, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3265 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4612 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/21)\/(v**(1\/7)*v))\/(v**(-7)\/v*v\/((v\/(v\/v**9))\/v))*(v**0*v*v)**31*v**(-3\/10)\/v**0 assuming v is positive.\nAnswer: v**(15887\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5 - l - 2 + 21. Calculate y(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Let n(p) = -2*p**2 + 39*p + 256. What is the lowest common multiple of q and n(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32412*40.\nAnswer: -1296480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Suppose -9 = -d*j + 2*j. Suppose -2*a = 4*z, 0 = 4*z - 3*z + j. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (24 - 41) - (120 + (0 - 14))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 16*v**2 - 5*v + 10. Let n be f(8). Let w = n + 31. Are w and -4\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -112a - 6?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1308 and 25179.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 8:27 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**6\/24 - 3*f**5\/20 - 3*f**4\/16 - f**3\/12 - 1. Solve c(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 26*f - 63. Let t be y(15). Suppose -2*z - 7 = -3*o, -o - 6*z = -z + 9. Sort -2, -6, o, t.\nAnswer: -6, t, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*((0*w + 3*w + 0*w)*(-3 - 3 + 5) + (1 - 2*w - 1)*(3 + 2 - 4)) in the form j + a*w and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (372\/5)\/(12054\/(-10045))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4036925 + 5651695237\/1400. Let p = v - 5\/56. Put p, 2, -0.3 in increasing order.\nAnswer: -0.3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5602251822.6 - 0\nAnswer: 5602251822.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8025 and 53286?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/3)\/(-2*2\/6). Let n = -4 + p. Let u(y) be the first derivative of y**4\/4 - 8*y**3\/3 + 9*y**2\/2 - 8*y + 5. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2 - 7) + 1\/(-3)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 905 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 123.31\nAnswer: 369.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -236\/7 in -52, -1, -3\/2, 0.5, -1\/5?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n + 3*f = 820, 0 = -3*n - 20*f + 24*f - 125 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a**2 - a**2 - 2*a**2)*(24*a + 6 - 6) + (-2*a + 2*a + a)*(2*a**2 + 0 + 0) to the form p*a**3 + u*a + m + r*a**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**4 - 3425*l**3 + 37200*l**2 - 87700*l + 53920 = 0.\nAnswer: 1, 2, 8, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from {u: 1, y: 1, b: 2, o: 2, n: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f**2 + 74*f**2 + 864 + 42*f**3 - 864 wrt f?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107860, -107727, -107506, -107197, -106800, -106315?\nAnswer: -105742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 and -32\/123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -151168.22 rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3\/2*k**2 + 1\/4*k**4 + 8\/3*k**3 - 1 - k. Let x be q(-7). What is the greatest common factor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -1.09. Let z = -10 + 4. Let n = z - l. Put n, -1\/10, 0.5 in decreasing order.\nAnswer: 0.5, -1\/10, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -12. Let v be -2*(2 - -1 - k). What is the third derivative of -7*q**5 + 11*q**5 + v*q**2 + 0*q**2 wrt q?\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*w = -172 + 312 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1564290893 by 142208263.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1389 = 5*g + 3*v, v + 21 = g - 260. Suppose -2*q - 997 = -5*l, -3*l + 340 = 4*q - g. List the prime factors of l.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {y: 4, r: 15}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 2*m**2 - 3*m - 1. Give y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -420961 (base 11) to base 7\nAnswer: -5506613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 97454?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4245, -4256, -4271, -4290, -4313, -4340, -4371?\nAnswer: -4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/4*(6 + -33). Solve 0 = 32*o - m*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*y + 21 = 0, y + 1 = -3*o + 5. Let f(i) = i**3 + 8*i**2 + 8*i + 9. What is the remainder when (o\/9)\/((-2)\/(-12)) is divided by f(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -d + 913, -997 - 3648 = -5*d + 5*f. Suppose -2*j - 3*j - h = -4701, 2*h - d = -j. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83018.\nAnswer: 2, 13, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d = -12 - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 4*q - 14 - 2 = 0, -3*x - 3*q = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 3*x**2 + 0*x**2 + 174*x**2 + 5212*x**2 + 2089*x**2 + (-1 - 2 + 2)*(2*x**2 + 3*x**2 - 3*x**2) in the form j*x**2 + c + g*x and give j.\nAnswer: 7474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -1\/4, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11*g = -15*g + 35366, -3*q = -g - 106202. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9787*a**5 + 11702*a**2 wrt a.\nAnswer: -587220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 43 - 76*z + 24*z + 36*z.\nAnswer: -16*z + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6630 + 6657. What is the remainder when 505 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -2\/3, 3, 373?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.905 - -0.095. Which is the closest to 1\/3? (a) o (b) 0 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-1)\/4). Let k(x) = -x + 2. Give k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 1)\/(66\/1423488)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 7704?\nAnswer: 7726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 14 + 19)*(3*g + 2*g - 3*g + (2 + 2 - 6)*(-3*g + 0*g + 2*g) + 3*g + 2*g - 4*g).\nAnswer: 70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(1\/2). Let z be -2 + b - (-3 - 3). Suppose z*i - 3*n = i + 49, 2*n + 46 = 2*i. Solve 0*m + m = -5*x + 5, -i = -4*m + 5*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24849, 25222, 25595, 25968, 26341, 26714?\n\"Answer: 373*h + 24476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*n - 8, -3*i + n = 2*n - 16. Let d be (-3 - (i - 7)) + 1*51. What is the highest common factor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**4\/4 + 3*p**3 + 5*p**2\/2 - 29*p + 54. What is the remainder when j(9) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1179 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + (0 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 + 27360*m**4 + 381900*m**3 - 873280*m**2 = 0. Calculate m.\nAnswer: -5458, -16, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*t + 584 = 0, 5*t - 93 = 5*a + 1377. What is the closest to a in -10, -0.2, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(539) + sqrt(539) - sqrt(539))*1.\nAnswer: -21*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64808)\/(-4284) - 40\/36) + 14\/(-1).\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = -5*i, -5*i + 0*i + 2*r + 15 = 0. Sort -9, i, -2 in decreasing order.\nAnswer: i, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.976 rounded to the nearest integer?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1099\/(-420) - 2070\/(-4600).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3114*z + 20 = -2*m - 3110*z, -4*m + 10 = 2*z. Suppose 4*j - v = 68, -3*j = -4*v - 52 + 14. Let y = m + j. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37690 divided by -1\nAnswer: 37690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 297527 (base 10) in base 16?\nAnswer: 48a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 1, m: 2, l: 4, p: 4}. What is prob of picking 1 p and 1 m?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - -67 - (0 + -28 - 3)) + 4\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2 - (-1 + 2 - 2)). Suppose -3*a = 10 - 1. What is the closest to o in -0.4, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2. Let x = 3784 - 3778. Let r(d) = d**2 - d + 1 - 1. Let w(z) = 5*z**2 - 6*z. Let u(p) = x*r(p) - w(p). Calculate u(n(s)).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/39047581 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, -5, 2, -3, -2, -1, 0 in ascending order.\nAnswer: -5, -3, -2, -1, 0, 2, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xxxxtxxtx?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60870, -60849, -60800, -60717, -60594?\n\"Answer: j**3 + 8*j**2 - 10*j - 60869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129 + 126.63. Let o = x + 2.36555. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2\/4 + 273*t\/2 - 24843\/4 = 0. What is t?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*b + 533 = 217*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 - 3594*a\/7 - 32427\/7.\nAnswer: (a - 3603)*(a + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 40150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*t + 3*t + 5, 5*t = -20. Let k(p) = -p**2 - 7*p + 8. Let r be k(x). Suppose -7*g = -3*g - r. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 315293441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.19348 - 2.80652. Let n be (0 - 1)\/(3\/(-6)). What is the nearest to 11 in b, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*(-4)\/(-6). Let s = -0.39909 - 62.60091. Do s and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.68 - -19.88. Is -22 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 119*p**2 - 1648*p = 0. What is p?\nAnswer: 0, 16, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.1, 0.0652646 in descending order.\nAnswer: 0.0652646, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/158391?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 + 2*n**3 + 3 + 23*n + 21*n - 44*n to the form t*n + o*n**3 + q*n**2 + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -13. Suppose 3*o - 6*o = 0. Let g = o - 3. Is g bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2)\/(-2)*(1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3720 and 811425.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -3*q - 0*m, 2 = -2*q + 4*m. Let v = -20 - -19.64. Let i = v - 0.14. Which is the closest to -0.1? (a) q (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.099 - 1.189. Let n = 1.08927 + x. What is n rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 33*z. Let v(r) = -18*r**2. Calculate y(v(h)).\nAnswer: -972*h**4 + 594*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -268, -3, 0, -6 in increasing order.\nAnswer: -268, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let j(s) = 3*s. Let i(y) = -7*y. Suppose 2 + 4 = l. Let k(p) = l*i(p) + 13*j(p). Give k(r(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 706, 1419, 2150, 2893, 3642, 4391, 5134?\n\"Answer: -y**3 + 15*y**2 + 675*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -184?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8346019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, -0.6, 0, -0.4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -0.12 (c) 0 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 6*a**2 - a - 5. Let m be g(7). Let l = -34 + m. Solve -l*d - 2*f + 11 = 0, 5*d = -f - 0*f + 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + (sqrt(1331) - 2*(sqrt(1331) + 4 + sqrt(1331)))**2 + sqrt(121)\/(-4*(sqrt(11) - sqrt(99))).\nAnswer: 4313*sqrt(11)\/8 + 12043","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2\/9 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 39) + 19 + 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 24, 22, 18, 12, 4, -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3583609848 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + s + 4*s - 50 = 0, -2*o + 100 = -5*s. Suppose 0 = 37*z - 61 - o. Factor 26\/7*m**2 + 24\/7*m + 2\/7*m**4 + 12\/7*m**z + 8\/7.\nAnswer: 2*(m + 1)**2*(m + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-100320)*-8*(-77)\/126.\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8675 = 399*o - 6281 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.2 + -0.2. Let i = t - 9.999985. What is i rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59426 and 1?\nAnswer: 59426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -178 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 103*l**2 + 17*l + 1. Let u = -116 + 123. Is g(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 14*q**2 + 25*q - 28. Determine m(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4706628 or 3?\nAnswer: -4706628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 104342113?\nAnswer: -104342214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/3 (c) -0.2 (d) 1.4 (e) -27 (f) 11.6 (g) -3\/14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t**2. Let g(c) = 4*c**2 + 3*c**2 - 4*c**2 - 5*c**2. Determine h(g(q)).\nAnswer: -44*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3\/7, 2\/191?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Let o(a) = -a - 3. Let z be o(2). What is the second smallest value in -2\/13, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4766284 is divided by 401.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 2:23 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3023530752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 338*w**2 - 7. Let s = 55 - 58. Is a(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/98 and -53\/16.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.90791l to millilitres.\nAnswer: 91907.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*a - 275*a = -3371592. Does 141 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 + 145870*s**3 - 5320097657*s**2 + 42551446088*s = 0. What is s?\nAnswer: 0, 8, 72931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374416?\nAnswer: 2, 7, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))\/(c*c**(-10)*c) assuming c is positive.\nAnswer: c**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -152\/15, -2, 0.02228, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/2 + 4799*p\/2 - 89466 = 0. Calculate p.\nAnswer: -4836, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - (57 - 33) - 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21184 and 2.\nAnswer: 42368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 8*k**2. Let s(y) = 2*y - 4*y + 2*y + y. What is s(h(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160448956, 320897915, 481346874?\nAnswer: 641795833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/((-240)\/9))\/((-9)\/3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36014 + -3357. What are the prime factors of i?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60457, 60435, 60421, 60421, 60441?\nAnswer: 60487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7898 - -17125. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 2, -0.2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4341 - 133*i**2 - 4341)*(-4*i + 2*i + 11*i).\nAnswer: -1197*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(153))\/sqrt(9) - (sqrt(119)*-2)\/sqrt(7))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 56.5 and -2\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, e: 2, j: 3, d: 5, t: 1}. What is prob of picking 1 t and 1 d?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*g**4*q**3 - 7*g**3*q**3 + 17*g**2*q**3 - g**2*q - 5*g**2 wrt g.\nAnswer: 1536*g*q**3 - 42*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, 5, -16?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*v - c + 3, 0 = 5*v - 3*c - 63. Solve -v = h + 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/5)*q\/(q\/(q\/q**(1\/11)))*q)**(28\/9))**(-13\/5) assuming q is positive.\nAnswer: q**(-16744\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96051 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 44840453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z**4 + 4*z**3 + 16*z**2 + 6*z - 6. Let p(g) = g**4 + 2*g**3 + g**2 + g - 1. Let q(t) = -i(t) + 6*p(t). Determine f so that q(f) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uououuuoooouu. Give prob of picking 1 u and 2 o.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:39 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(9\/72)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/4850581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 18759\nAnswer: 1\/18759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*m + d, -m + 13 = -5*d. Let f(c) = -c**2 + 5*c. Let y be f(4). Solve 20 = y*k - 3*x, -5*k = m*x - 3 + 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqmqmqqqqqq.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 299051.64 months in decades?\nAnswer: 2492.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -4*t - 0*c - 40, 0 = -c - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 52.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 417, 625, 833, 1041, 1249?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 15*g + 16. Let k be t(-14). Let s be 2*(k + (-36)\/8). What is the tens digit of ((-2)\/(-4))\/(s\/(-230))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-30)\/(-18))\/((-1)\/(-15)). Let n = q + -10. Let p = n + -13. Solve 5*i - 2 + 7 = 4*s, s - p = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 200.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 8*i**2 + 7*i + 4. Let d be q(-6). Suppose -p - d = 3*o - 55, 3*o + 6 = 2*p. Let n(t) = t**3 - 9*t**2 - t + 5. Give n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 301726?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 142, -5, -4.\nAnswer: -5, -4, 5, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q + 1. Let t(f) = -12*f**2 - 2*f - 9. Let s(b) = -5*k(b) - t(b). Calculate the remainder when s(-3) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -15*m**2 + 18*m - 11. Calculate t(3).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27267 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95441*g**3 - 589565*g wrt g.\nAnswer: -572646*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 4*v - 1. Let m be y(-5). Solve -9 = -2*f - 3*p, f - m*p + 19 = 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g. Let s(w) = -w**2 - 3*w. Let d(r) = 2*r**2 + 10*r. Let h(x) = x**2 - x - 10. Let z be h(0). Let u(l) = z*s(l) - 3*d(l). Calculate u(y(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 + 28*k - 4. Let h be g(-5). What is the second derivative of h*w + 5*w**4 + 10*w + 6*w - 3*w**4 wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*2\/(-4) + 1. Let n = -2252 - -2252. Sort -2, k, 5, n in decreasing order.\nAnswer: 5, k, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5283802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**2 - 10*z - 32. What is a(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/8 and -3\/11225.\nAnswer: 89800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 34697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 4*j**3 + 7*j**3 + 2*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 24047 - 283713 = -43*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10203284 (base 9) to base 4.\nAnswer: -102231021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 2149a7b9?\nAnswer: 2149a801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1653696, -6614705, -14883054, -26458743, -41341772?\nAnswer: -59532141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 15*t**2 + 6*t - 7. Let y be m(7). What is the units digit of 4 + (282\/4)\/((-7)\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*f = -0*f - 109, -3*f = -4*g + 87. What is the tens digit of (-1236)\/(-14) + (-6)\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56149724*h**2*j - 8050*h*j - 7*h + 30*j - 2 wrt h.\nAnswer: 112299448*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89883024 divided by 1361864?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 2. Calculate b(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -208*c - 836. Calculate s(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-5)\/s))\/s**(-2\/9))**(2\/29)\/((s**1)**(-2)\/(s**0\/(s**(-3)\/s))) assuming s is positive.\nAnswer: s**(1696\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*v - 34 = 0, -2*v = -3*s - 7*v + 68. Suppose -4*f + 2*d + s = 0, 4*f + d - 4*d = 27. List the prime factors of 2592\/20 - f\/10.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2 + p + 5. Let y be a(0). Suppose -m - 2365 = 5*b, 3*m + 2365 = -y*b - m. List the prime factors of 2\/(-3 + b\/(-157)).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 3112\nAnswer: 311.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -16*t**6\/5 + 227*t**2\/2 + 104*t - 32. Let c(b) be the first derivative of o(b). Differentiate c(f) with respect to f.\nAnswer: -384*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + -242403225?\nAnswer: -242402524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9340\/21 or 446?\nAnswer: 9340\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2\/21 - 432842*r\/21 + 432836\/7 = 0. What is r?\nAnswer: 3, 216418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8176 and 6733958?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 16, 103 - 93 = -3*g - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 304\/3 = 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -136. Let i(x) = 7*x + 0*x - 6*x + 3*x**2. Let q be i(2). Calculate the greatest common factor of q and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i - 14. Let k be -11 - (-4 + -19 + 12). What is g(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.6. Let w be (9\/(-6))\/(3\/18). Let k be (w\/12)\/(6\/(-4)). Which is the third biggest value? (a) k (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u + 9. Let c be t(-3). Solve c = p - 0*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8 - (-298)\/624. Let n = 10685\/3432 + z. Calculate the common denominator of n and 1\/6 + (-215)\/10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.087, -1, -6, 0.1, 2, -12, 4 in decreasing order.\nAnswer: 4, 2, 0.1, -0.087, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 0*h**3 - h**3 + (-2*h + 2*h + 2*h**3)*(-4 - 2 + 5) + (4*h**3 - 3*h**3 - 2*h**3)*(7 - 1 - 4) - 3*h**3 - h**2 + h**2.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -250*w + 205 - 60. Sort w, -0.37, -7\/4.\nAnswer: -7\/4, -0.37, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 2}. Give prob of sequence mr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, y: 3}. Give prob of picking 2 y and 2 m.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145 and 2111108650?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -181.\nAnswer: -180.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j - 160*j + 78*j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*b = 2 - 4, 7 = -2*s + 5*b. Let a be 3\/s - 5\/(-3). Find the third derivative of 2 - 2*g**3 - a + 2*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 109, 2 in ascending order.\nAnswer: 2, 34, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -244*h + 1222. Let x be j(5). Solve -z - z + 8 = 0, -z = x*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + ((-74)\/(-16) - (-129)\/344). Solve -13 = m*h - 3*l, 0 = h - 0*h + 4*l - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3021\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 17 = 3*g, -3*g - 20 = -76*w + 24*w + 51*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let j(o) be the first derivative of -7*o**3\/3 + o - 17. Give j(b(u)).\nAnswer: -7*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/(-14*8\/64)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/21 and ((-2)\/50)\/((48\/(-235))\/(-8)).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 10) to base 13.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 98398119 and -56.\nAnswer: 98398063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34720000 = -19*k + 15*k. Suppose 13*v = 6*v + k. What is v rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 11. Let i be s(9). Let o(m) = -m**3 - 3*m**2 - 4*m - 1. Let z be o(i). Solve -3 = -0*c + z*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d**2 - 12064341*d + 8042898 = 0. What is d?\nAnswer: -1340483, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6341*l. Let r(n) = 2*n. Calculate f(r(q)).\nAnswer: -12682*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -42*g + 49*g. Let k(x) = -3*x + 38. What is the least common multiple of 469 and k(g)?\nAnswer: 5159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -5316?\nAnswer: 5323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - i - 4222 + 885, -4*k = -4*i - 4436. What are the prime factors of k?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 14) to base 11.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 407.88? (a) 5 (b) 4 (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -315*x + 305*x + 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3 + 4, -4*j = -5*h - 139. Suppose j + 36 = -3*k. Let b be ((-16)\/k)\/(2\/3). Solve -b = 2*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57410 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 830 - 3175 = 0. What is the remainder when r is divided by 74?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2*m*m**(3\/4))**(-15) assuming m is positive.\nAnswer: m**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*u - d, 4*u + d - 13 = u. Solve i + i = 2*b + 4, u*i + 22 = -3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 2630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -3. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6957499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - 7. Let j = 15 + m. What is the third derivative of 30 - 3*x**2 - 4*x**j - 3*x**3 - 30 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(112) - (sqrt(112) + (sqrt(112) - sqrt(112)*4)))**2) - (0 + ((1*4*sqrt(112) - sqrt(112))**2 - sqrt(112))).\nAnswer: 4*sqrt(7) + 2028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 8*i - 7. Let a be j(7). Suppose a*y = -5*y. Let h(x) = -x**3 - x + 5. What are the prime factors of h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 11*h**2 + 154*h + 11. Let z be m(-22). Calculate the highest common factor of z and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*z + 76*z - 10108 = -64*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*z**3 - 5696*z**2 + 2197211*z?\nAnswer: 960*z - 11392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -0*h + 2*h. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, o: 2, p: 5}. What is prob of sequence pg?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2. Let c(p) = 70702*p**2. Determine c(r(m)).\nAnswer: 1131232*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(221\/(-455)) - (19 - 21).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.66003588 + 28.66. What is k rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 79827.64g?\nAnswer: 79827640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h + 2*h + 2*h)*(9 - h - 9)*(-2 + 2 + 2).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 8. Let m be p(11). Sort 1\/3, 4, 5\/6, m.\nAnswer: m, 1\/3, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0654251 rounded to 4 dps?\nAnswer: -0.0654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 13*z**2 + 19*z - 12. Let v be q(-11). Suppose x - v = 113. Differentiate x*t - 24 - 5*t**4 - 134*t with respect to t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34298417 to the power of 1\/2, to the nearest integer?\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y - 24. Let q be (1 + (-5)\/3)\/(8\/y). Suppose 0 = 3*z - 2*z - 2. Solve -g = q + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (912 - 912 - 95*y)*(-3 - 1 + 1)*(-y + 3*y + y).\nAnswer: 855*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -s - 221, -4*p + 6 - 45 - 12 = 97 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13230 and 9700.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52\/133 - 5163\/2660. Suppose 4*r + l - 12843 = 0, -l = 2*r + 2275 - 8696. Let i = -38633\/12 + r. Find the common denominator of y and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 2}. Give prob of picking 1 x and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 2 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*t + 283 = 0, 6*w - 2*w - t + 273 = 0. Let d = -203\/3 - w. Let v = d + 13\/24. What is the third biggest value in v, 0.2, -0.03?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5722 = 13*c - 5475 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1506009?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5316943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 20) + 38 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*p + 197 + 84, 4*p + 5*x - 210 = 0. Solve -p*v = -59*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x - 154 = 0. Let u be 7 + (7 - (-4 + 117))\/2. Let i = u - x. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 73. Suppose q = 8*k + 295 + 841. Let x = k - -146. Solve -i - 6 = -4*j - 16, 3*i + j - x = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/(-4) + 9\/(-6). Let t = o - 3. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95\/(-76)*23\/((-46)\/4)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23183286 or -23183284?\nAnswer: -23183286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + z + 13. Let s be j(0). Suppose 11*g - s*g + 24 = 0. Calculate the least common multiple of (-53)\/(-3) - g\/18 and 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-2 + -4 - (9 + -3) - -35)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*((sqrt(117) - (-3*sqrt(117) - sqrt(117))**2) + 2)*5 + 4)*-2.\nAnswer: -374032 + 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16965.4081 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l - 8*l - 3*l)*(-6 + 0 - 11)*(4*l - 6*l + 12*l).\nAnswer: 6120*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1638, 1684, 1730, 1776?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebsfvlsbf. What is prob of picking 1 l, 1 e, and 1 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/18 and 14\/2055?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = k - 7*a - 287, -3*k + 5*a = -811. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -158, -321, -484, -647?\n\"Answer: -163*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2*-2)\/(-2). Suppose 46 = -2*u + b - 3*b, -71 = 2*u - 3*b. Let r = 50 + u. Solve -h - r = -3*k - 2*d, 3*k - d = 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 413 = -4*s, s = -2*s + d - 307. Let u = s + 114. Factor 4*z**4 + 7*z + 0*z + 5*z - u*z**3 + 4*z.\nAnswer: 4*z*(z - 2)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66650 = -14*s + 57*s. Suppose -2*m - 3*a + 11 = 0, 0 = 2*m - 5*a - 0 - 3. Find the second derivative of 1550 + 11*g**m + 9*g - s wrt g.\nAnswer: 132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 15*a + 218. What is u(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)*((t**2\/t)\/t)\/t assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**3\/6 - 4*r. Let u(s) = 15*s. What is c(u(h))?\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2\/9 + 581*h\/9.\nAnswer: -h*(5*h - 581)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/88)\/(-2*2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*1)*-5 + 1*1*sqrt(153))\/((sqrt(225) - sqrt(225)*-2*-3) + sqrt(225)).\nAnswer: 9*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = 5*n + 601, -h - 275*n + 37 = -276*n for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13094 + -7817. Is (1 - -1)*d\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 317\/264 + -3\/88. Let d = a - 4\/3. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*y - y - 8 = -2*y, -3*x - 260225*y + 260230*y = 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * 439.\nAnswer: -526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 12 = -5*k. Let j be 5 + (1 - (0 - 4\/2)). Solve k*v + j = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 28*k**2 - 81*k + 22. Let l be q(-25). Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3942207 - 2742207. What is c rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/15))\/(u\/u**(-5\/7)*u))\/(u\/u**(-5)*u*u**(1\/7)))\/((u**(-2))**(-22)*(u**(1\/2))**(-35)) assuming u is positive.\nAnswer: u**(-7397\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/(24 - (49 - 29)) - 25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = -z, 4*z - 2*n = -14 - 0. Let o = -0.652 - -0.452. Which is the nearest to z? (a) o (b) -3\/4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 + 3*l**2 + 4*l + 9. Is x(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l**3 + 69*l**2 + 94*l + 27. Determine i(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/18)\/(-4)*(-10251)\/(-298418)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -1\/5, -974, 6\/23?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*y + 1948 - 2068 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*h**2 + 4044*h + 352.\nAnswer: -2*(h - 88)*(23*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 5) to base 9.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4, -41 = -3*f + 2*z + 21. Is (21\/2)\/(15\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1627311 to 4 dps.\nAnswer: 0.1627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 9 + 21. Solve 4*g + 3*w - 1 = 7, 4*w - 8 = -t*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**3 - 2*y**3 - 17*y**3 - 4*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242 or -1156224?\nAnswer: -1156224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 28 = 13*i. Let y(z) be the first derivative of -5\/3*z**5 + 5\/9*z**3 - 5*z**4 + 25 + 10*z**i + 20\/3*z. Let y(w) = 0. What is w?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1872 and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 1, h: 2, q: 2, p: 1}. What is prob of sequence hq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 101?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.436 - 0.24. Let a = c + -0.196. What is the closest to -0.14 in 1\/4, a, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21572*q**3 - 26*q + 26*q - 21579*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279329191?\nAnswer: 3733, 74827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 133*1 + -2. Let d be 1200\/(-200) + (-1056)\/(-8) + 3. Does x = d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164506 is divided by 164198?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 456*k**2 + 1776*k - 1760 = 0. What is k?\nAnswer: 2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 318834878 to the nearest integer?\nAnswer: 17856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/(g\/g**4)*(g**(-1\/7)*g*g)\/(g**(-1)*g) assuming g is positive.\nAnswer: g**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3585*h**6 + 17*h**3 + 203556*h**2 + 2*h - 1.\nAnswer: -430200*h**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-15)\/k*k))\/k**(25\/3) assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -685 (base 15) in base 11?\nAnswer: -1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7505*b + 50. Let y be w(-4). Let i = y + -842069\/28. What is the common denominator of 53\/49 and i?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16299793*v*w - 16948073*v wrt w?\nAnswer: -16299793*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129561*q + 158167*q + 512361*q.\nAnswer: 540967*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5433209.\nAnswer: 61, 89069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 7:58 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/(-14)*(-178)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + (-1 - -5) + -29 + 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d + 4. Let x be j(-3). Suppose 2*k = x + 12. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2454*x**4 + 5*x**3 + 14*x - 236. Let c(i) = -1227*i**4 + 2*i**3 + 7*i - 116. Let k(r) = -5*c(r) + 2*v(r). Find the second derivative of k(s) wrt s.\nAnswer: 14724*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108.5 - -103. Let y = -85.9 - f. Round y to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (7 - 16 - (6 - 2 - 6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - (-154)\/(-22))*1\/(-93). Let z = -45021 + 8373809\/186. Let y = a - z. Put y, 1\/5, -0.2 in descending order.\nAnswer: y, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1504856624.5 rounded to the nearest 100000?\nAnswer: -1504900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8388301 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -9*f + 4*f. Let t be (-1)\/(-6) + (-132704)\/(-2112). Calculate the greatest common divisor of f and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*n**3 + 15 - 15 - 88*n**3.\nAnswer: -356*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.170017t to grams.\nAnswer: 8170017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - (12 - -23)) + (0 - 0 - 18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x - 2*x - 2*x + (-3 + 7 - 3)*(216 - 216 + 51*x).\nAnswer: 52*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2987*g**2 - 220*g**3 + 160*g - 2837*g**2 + 60*g**3 - g**4 + 6*g**4 - 155 = 0. What is g?\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 3011856.\nAnswer: 3011856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(((sqrt(175)*6 - sqrt(7)) + sqrt(7) + sqrt(7) - sqrt(7) - sqrt(7)) + ((sqrt(112)*1)**2 - sqrt(7))))*-4.\nAnswer: -468 - 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/1*(-2 - (-6)\/2). Let w(q) = -3579 + 3579 + g*q. Let b(i) be the second derivative of 2*i**4\/3 + i. Give b(w(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*s - 2*v, -80*v = -82*v + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-49344)\/10280 - 768\/(-110)\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6570 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 4*b - 202, 2*i = -2*b + 4. Solve -25 + 5 = i*w, -2*w = -m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 227 = -2*t, 4*t + 4*w + w = 529. Suppose -t + 32 = -2*f + 4*g, -5*f - g = -213. Let n = 412 + -397. What is the remainder when f is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/(c**12\/c))**43 assuming c is positive.\nAnswer: c**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, r: 1, s: 8, d: 1, b: 4}. What is prob of sequence bd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 47567\/2)*(-5)\/(-50). Let d = h - 2361. Calculate the common denominator of (13*-2*2)\/9 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 765 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 36*f**2 - 37*f.\nAnswer: f*(f - 1)*(f + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2691 divided by 39.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 2*y + 2. What is d(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 16*i**3 - 6*i + 2 + 4*i - 20*i**3 - 2*i to the form a*i + f*i**3 + x + z*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12439?\nAnswer: 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -13 + 5*b**2 + 7*b**2 - 7*b - 8*b - b**3 + 6*b. Let f be w(11). Let d = f + 0. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 38 = 2*b, -2*b - 5 = 1201*g - 1200*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*g = -31334, 11*k - 5*k - 37644 = 3*g. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h + 2*h - 3*h + (3*h - 4*h + 2*h)*(-2 - 5 - 1))*(-24*h**3 + 446*h**2 - 446*h**2) in the form v*h + k*h**4 + n*h**3 + p + j*h**2 and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dped when four letters picked without replacement from dddpeddededee?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**4 + 2*j - 231*j**2 - 228*j**2 - 241*j**2 + 684*j**2 + 32*j**3 wrt j.\nAnswer: -24*j + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/2258 and 101\/257412.\nAnswer: 257412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/n)\/(n\/(n*n*n\/n**(-2\/3)*n))*(n**1)**(4\/9) assuming n is positive.\nAnswer: n**(31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 3 + -7 - (-12 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26023870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a = 47*a - 14*a - 416156000. Round a to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1569*v + 3 - 3 + 2074*v.\nAnswer: 3643*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 23*t**2 + 53*t - 496. What is the units digit of s(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*w + 637*w - 201*w - 202*w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzxzxzzzz. What is prob of sequence xzxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -93433173 divided by -17\nAnswer: 5496069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51032836 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -173, -215, -293, -419, -605?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z - 10*z - 7*z + 21*z. Let m(v) = 93*v**2 + 2. Determine m(k(w)).\nAnswer: 93*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2395, -2397, -2399, -2401, -2403, -2405?\n\"Answer: -2*v - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*-1)\/((-3)\/2). Let r be 40\/(w + 2\/(-2)). Let p = -48 - -64. Calculate the greatest common divisor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11945? (a) -4\/13 (b) -0.4 (c) 4 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*((sqrt(242) - sqrt(242)*3) + sqrt(242) + -5)**2 + -1.\nAnswer: -1064 - 440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.246 * -24.\nAnswer: 29.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 150803 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose 20 = 11*i - 2. Solve -2*s - 11 = 3*g, h = i*s - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 130.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/18)\/((-3)\/(-3602)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*5*(-19)\/114000*12*-4\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5\/7, 8, -0.4, 13, 12 in decreasing order.\nAnswer: 13, 12, 8, 5\/7, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2\/5 - 1116*m\/5 = 0.\nAnswer: 0, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 30*u - 189*u - 44*u - 4. Let k be n(-5). Suppose 189 = -3*f - k. Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 12705*q**3 + 9229425*q**2 + 2059309715*q - 4155638850 = 0 for q.\nAnswer: -1485, -529, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 10*h**2 - 18*h - 12. Let v be t(-8). Suppose 8*w - 1964 = 5*w - v*b, -3*b + 1310 = 2*w. What is w rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/9 < 222732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13144 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + (-6*(sqrt(153) + sqrt(153) + 2 - sqrt(153))*-4 + -4*-2*sqrt(153)*-2)*6)**2.\nAnswer: 83520*sqrt(17) + 436614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from biiqiibiiiiili?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u\/(u\/(u**(-1\/6)\/u))*u)**9)**(-25))**(-8\/7))**(-14\/9) assuming u is positive.\nAnswer: u**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*6\/9 - -2. Suppose 2*j + 2*g - 10 = o, -5*g = 2*j - j + 11. Suppose -4*c - j = 5*n, 5*c + 2*n = -n + 5. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {y: 3, j: 1, u: 3, n: 4, o: 3, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -574, -1154, -1748, -2362, -3002, -3674?\nAnswer: -4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*r**6 + 8775*r**4 + 220*r**3 - r**2 + 1140940*r + 49.\nAnswer: -2040*r**3 + 210600*r + 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q + 3. Let j be g(2). Suppose 5*z - 2*z = 0. Let h be (-3)\/(-3) - z\/(-1). What is the greatest common divisor of h and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 - 25*n**3\/3 - 56*n**2 - 48*n.\nAnswer: -n*(n + 1)*(n + 12)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + k**2 - 63*k - 9. Let m be i(-10). Let b = m + 275. Let r(y) = -3*y - 9. Give r(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**5\/5 + 5*s**4\/12 + 8*s + 21. Let r(d) = -5*d**3 - 6*d**2. Calculate 5*r(m) + 6*x(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -18*d**2 - 2. Let z(y) = 35*y**2 + 5. Determine -5*u(o) - 2*z(o).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16*s. Let i(t) = -5*t. Give 2*b(n) + 7*i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -1, 4, 0, -10 in ascending order.\nAnswer: -129, -10, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 + 35*j + 4. Let t be d(7). Let s be 28\/(-6)*t\/(-1)*375. What is s rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:14 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -276461, -4, -11 in increasing order.\nAnswer: -276461, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - u. Let n(q) = -4*q**2 + q - 2. Let p(z) = 6*z**2 - 2*z + 5. Let i(a) = 5*n(a) + 2*p(a). What is i(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 9:45 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.2405 - 1.2405. Which is the closest to 3? (a) 2\/11 (b) -1 (c) -18 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 502 + -493. Solve -q = -3*b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4964216 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -210112112 (base 3) to base 8\nAnswer: -36525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t = -5. Let y(c) = -c + 1. Let v be y(t). Let m(f) = f**2 - 7*f + 4. Let n be m(7). Solve -n*o = 12, -2*k + v*k = 4*o + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + 0 + 0 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -142. What is the remainder when o is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.42. Suppose 0 = 2*y - 3*y + 1. Which is the second biggest value? (a) -4 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/44 and -7\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192372981?\nAnswer: 3, 59, 257, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-2)\/(-8)*-10. Sort -3, o, 1.\nAnswer: -3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1632\/48*(-2)\/4*1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 61. Solve -c*j = -40*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.82 take away 9?\nAnswer: 251.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 + 3*b. Let t(o) = -o**2 + o. Let v(y) = -3*k(y) + 7*t(y). Is 12 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {a: 7, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 32*z**3 + 174*z**3 - 650*z**3 + 313*z**2 + 90*z**3 - 5*z - 514*z**3 wrt z?\nAnswer: 48*z - 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5766315 or -74962092\/13?\nAnswer: -74962092\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 175.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/15 - -9\/20. Let v(i) be the second derivative of -6*i + h*i**4 + 1\/3*i**3 + 0 + 0*i**2. What is the second derivative of v(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 488027, 487901, 487775, 487649, 487523, 487397?\n\"Answer: -126*b + 488153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -17*m**3\/3 - 19*m**2 - 2*m + 7. What is the tens digit of x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -141. Suppose -2*b = b - w. Let a = -2 - -8. What is the smallest common multiple of a and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563945371?\nAnswer: 11, 79, 113, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:02 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20121110000 (base 3) to base 9\nAnswer: -217400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3 + 439*x - 6*x**2 - 439*x = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/526 and 95\/3156?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = -4*g + 6*g. List the prime factors of g.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*f + 1 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y\/(y**(2\/7)\/y))**(-4\/3)\/(y**(-1\/9)\/(y**(2\/27)*y)))**14)**11 assuming y is positive.\nAnswer: y**(-15664\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -2034.\nAnswer: 406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - a**2 + 6 - 5*a + 1. Let v be (2 - 1) + (-11)\/(-1). Suppose 18 = 6*j - v. Determine n(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*((-181248)\/320)\/118?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p**3*y**2 + p**3 - 15*p**2*y**2 + 361*p**2 - 1 wrt y?\nAnswer: -4*p**3*y - 30*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + ((-9)\/3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245461 is divided by 81812.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-7)\/(q*q*q**(-2\/21)*q**(-4)) assuming q is positive.\nAnswer: q**(338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 6. What is the least common multiple of 70 and n(8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 - 10*j**2 - 15*j - 12. Let v be f(-5). Let h = 451 - v. Is 137 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o + 33 - 33)*(3*o - o - o)*(7 + 36 + 19)*(2 - 1 + 0).\nAnswer: -558*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 - 5*z**3 + 5*z**3 - 3*z**3 + 0*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**4*u**(-8\/7))**36)**(-49) assuming u is positive.\nAnswer: u**7308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3758 = -3*h - 3752 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (114\/15 + 2)\/((-32)\/(-2080)). What is the greatest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 656994504 divided by 218998168\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 3. Suppose -11 + 29 = -6*y. Let u(q) = 10*q + 14. Let t(z) = -9*z - 13. Let v(p) = y*t(p) - 4*u(p). Calculate 34*o(x) - 6*v(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1820 (base 16) to base 6\nAnswer: 44332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-3) + -14*12\/42. Let y(h) be the third derivative of 0*h + 0 + 1\/60*h**5 + v*h**3 + 1\/8*h**4 - 2*h**2. Determine y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(16\/6))\/((-2)\/8). Suppose -2*k + 3*x = -78, c*k - 3*x - 118 = -1. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001334 rounded to 7 decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-5 - (-3 + (1 - 1)))*(-70259)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 399 - 398. What is the smallest common multiple of z and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -5, 0.4004, 4, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 934121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 102024, 5, -8\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (588\/73)\/(-4) + 2. Suppose -10*f - 176 = -f - 167. Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-18\/11))**(-27)\/((h*h**37*h)\/h*h*h**(-1\/47)) assuming h is positive.\nAnswer: h**(2690\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4778 + 4761. What is the closest to 0.1 in -0.2, k, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167992*p + 222917 wrt p.\nAnswer: -167992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 - 4*q - 62. Let a(j) = -j**2 + j. Let y(r) = -3*a(r) - s(r). What is the derivative of y(u) wrt u?\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -189\/7218359?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 + 3*c**2 - 5*c**2. Suppose -3*t + 7 = -2*t + 3*o, 4*o = 0. Let g(y) = 3*y**2 - 3 + t - 4. What is g(l(p))?\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28202.\nAnswer: 2, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1176 and 171?\nAnswer: 67032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.344055556 - -79.655945184. Let s = j - 81. What is s rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 39995*p - 160060.\nAnswer: 5*(p - 8003)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**3 - 4. Let s(d) = 7*d**3 + d - 3. What is 3*a(c) - 4*s(c)?\nAnswer: -4*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Solve 2*w - x*s + 30 = 0, s - 19 = 6*w - 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 1\/3, 4, 29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15902 + -15902.9301. Let w = c - -0.91. What is w rounded to 3 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582684610 rounded to the nearest 1000000?\nAnswer: -583000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/9 - 8\/36. Let t(d) = -d + 1. Let l be t(m). Let o = l - -31. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 623, 1153, 2027, 3245, 4807?\nAnswer: 6713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2 - 45*y - 308. What is c(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108135, -108145, -108169, -108213, -108283?\nAnswer: -108385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/614 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -74, -73, -72?\n\"Answer: b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from {a: 4, y: 2, x: 3, o: 1, e: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*(sqrt(75))**2.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let q = 17.6 + -15.6. What is the smallest value in m, q, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*v = -20. Suppose v*u = -2*i + 15 + 1231, u = -5*i + 3127. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b + 12 = 0. Suppose 4 = -w - 2*p, -w - b*w - 3*p - 6 = 0. Suppose w = 4*l - 2*r - 256, -3 = 5*r - 13. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -307\/4 - -101. Let v = 24 - j. Is v smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccvn when four letters picked without replacement from ccncnnccvcnccc?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69222*o**3 - 4*o**2 - 59*o - 4172.\nAnswer: 415332*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 747 + 549. Suppose k = l + 5*l. Does 52 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 89?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 636831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 7 - (-7 - (-15 - -9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s - 11. Let v(t) = -10*t + 17. Let g(o) = -7*q(o) - 5*v(o). Let c be g(13). Let b = -23 - -21. Sort b, 2, c in descending order.\nAnswer: c, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 45 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m + 108 - 168. Let t(c) = 35*c**2 + 2*c - 1. Let n be t(1). Suppose -m + 0 = -i - 4*w, 4*w = -4*i + n. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + r**2 - r**2)*(-4 + 3 + 3) + 10*r**3 - 222*r**3 - 326*r**3 - 2*r**3 + r**2 - r**2.\nAnswer: -536*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7536 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1053)*-1 + -2 + 5 + (3*sqrt(117) - (sqrt(104)\/sqrt(2) - sqrt(13))))**2.\nAnswer: 210*sqrt(13) + 15934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - a**2 - a + 6. Let g be r(0). Let w(u) = 10*u**2 - 7*u + 167*u**3 - 3*u**2 - 168*u**3 + 7. What is w(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f - 117 = 20*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + n + 1. Suppose 0 = 3*w + 2*s - 9, -2*s = 5*w + 2*s - 15. Calculate c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2116*i**2 - 47*i + 18?\nAnswer: 4232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173 * 1544.\nAnswer: -267112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 (base 12) in base 11?\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03199 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35966 rounded to three decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/((-150)\/185) - -13. Factor 2\/3*p**3 - p**2 + t - p.\nAnswer: (p - 2)*(p + 1)*(2*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 415402304 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 121)*(14\/(-6) - -7). Let n = k - -576. Solve n*m + 27 = 17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 230. Let r be 2\/(-8) - q\/(-24). Let f = -503\/6 + 84. Which is the nearest to -1? (a) f (b) -2\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446350 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let p = 0 + 2. What is the remainder when p is divided by ((-3)\/6)\/(t\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 685 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-1 - 34\/(-35)) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 0.1, 3.04, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1*(-2 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2110110 + 21220001?\nAnswer: 12102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*r**4 + 442*r**3 - 598*r**2 + 150*r = 0. What is r?\nAnswer: -75, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 174*n + 7072. Calculate the remainder when f(63) is divided by (-4)\/10 + (-404)\/(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -514 + 307. Let m = -81 - w. Let s(x) = -x**3 + 5*x**2 + 9*x. Let d be s(6). What is the greatest common divisor of m and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183870 is divided by 45515.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7154827 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*i - 94*f**2*o - f*i**2*o - 32*f*i**2 wrt o.\nAnswer: -94*f**2 - f*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 36094440.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 + 73. Solve 0 = 9*f - n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:29 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 663853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 7) in base 16?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.011 - 32.989. Let u = s + 61. Let m = -28.00083 + u. Round m to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.21081 meters in micrometers?\nAnswer: 46210810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798655 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 13*f**6\/60 - f**5\/60 - f**4\/24 + f**3\/6 - 12*f**2. Give p(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1410 or 1404?\nAnswer: 1404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*c + 216 = 448*c. What is the highest common factor of 90 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1316502552 - 2?\nAnswer: -1316502554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:02 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 40*b**3 + 3*b**2 - 261*b + 21. Let o(n) = -16*n**3 - n**2 + 104*n - 8. Determine 13*o(g) + 5*q(g).\nAnswer: -8*g**3 + 2*g**2 + 47*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1281\/11 - -117. What is the second biggest value in h, -0.4, -5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/10 - 2632\/(-1680) - (-632)\/(-624)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r + 7. Let y be 2 - (1 - 9) - (4 - 1). Let v(q) = -5*q - 6. Give y*v(b) + 6*a(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11776 times 0.0216?\nAnswer: 254.3616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 12, 103, 300, 639, 1156?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*i - 6 = 63*i. List the prime factors of ((-27)\/12)\/i + 403\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -377832, -377819, -377794, -377751, -377684, -377587, -377454, -377279?\n\"Answer: w**3 + 6*w - 377839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 67, 68, 69, 70, 71?\n\"Answer: j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j - 12. Let m be o(-6). Let c be 339\/444 - m\/(-16). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8) - ((-55)\/20 - 1). Solve 0*i + 2\/5*i**4 + 2\/5*i**5 - 4\/5*i**h + 0 + 0*i**2 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21580 + -690657\/32. Let m = -1364383\/331526 - -1\/12751. What is the common denominator of m and f?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 132764 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 72*b + 74.\nAnswer: -2*(b - 37)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c**5\/2 + 939*c**4 - 28185*c**3\/2 - 207390*c**2 - 227058*c + 247536 = 0. Calculate c.\nAnswer: -8, -2, 2\/3, 27, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3099 + 24727\/8. Calculate the common denominator of t and 25\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203771 - -20629. What is b rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c**2 + 10*c**2 + 14*c**2)*(38 - 38 - 936*c + 1374*c).\nAnswer: 7008*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6010 + -3603. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - sqrt(110)*-3))\/sqrt(10) + (sqrt(33)\/(sqrt(3)*-2 - sqrt(3)) - sqrt(11)).\nAnswer: 11*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224, -483, -776, -1103, -1464, -1859, -2288?\nAnswer: -2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3648*0.4\nAnswer: -1459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:38 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3 - 8. Suppose 6*r + 117 - 135 = 0. Calculate the remainder when l is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26962 at least 26959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h - 3. Let i be a(-2). Let x = 2 - -1. Solve x*t - i*t = 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 14*r**2 - 35*r + 55. Let z be u(16). Solve z*j + 0*j + 28 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -124.5 (b) 3\/2 (c) -1 (d) 12 (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-5 - -24) + -33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtt when four letters picked without replacement from {a: 2, t: 4, j: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*i - 116*i + 30 = 0. Let a(s) = -3*s + 6. Let k(c) = 1. What is i*k(j) - a(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 212069341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1068 + -1067. Solve c - 3 = -i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 62 = 10. Let y be (-28)\/6 + (-12)\/j. Which is the third biggest value? (a) -5 (b) y (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/5))\/g**(-2))\/(g\/g**(2\/3))**(-6\/25) assuming g is positive.\nAnswer: g**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l - 2*l**2 + 34*l + 10*l + 225*l.\nAnswer: -2*l**2 + 312*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 1094, 3431, 7970, 15443, 26582, 42119?\nAnswer: 62786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) -0.2 (c) -3 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -452, -789, -1260, -1865?\nAnswer: -2604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2 + -5 + 6 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*((-15)\/(-6))\/(-5). Which is the closest to -1\/3? (a) 0.2 (b) -2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/12 + 8*g**3\/3 - 27*g**2\/2 + 28*g. Let a be i(-18). Factor 7*d**3 - a*d**4 + d**3 + 13*d**4 - 4*d**5.\nAnswer: -4*d**3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 3*(1 + -3). Let o = 54.4 - 49. Let t = -0.4 + o. Which is the second smallest value? (a) -1 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2155191487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7472 is divided by 71.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0073788 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/903 and 61\/142.\nAnswer: 128226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4048439*n**2 - 3048387*n wrt n?\nAnswer: -8096878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 2*g + 0 - 7 + 6*g**2 - g. Suppose -6*d + 16 + 14 = 0. Let s be p(d). Solve s*x - 8 - 7 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90, -169, -248?\n\"Answer: -79*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {h: 3, f: 3, r: 6, z: 1, l: 1}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 2*s + 5*s**3 + 4*s**3 - 28.\nAnswer: 9*s**3 - 2*s - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 13*s**2 + 30*s + 43. Suppose -5*d + 2*w - 75 = -w, 2*d + 30 = 6*w. What is the remainder when 65 is divided by g(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttttttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**4 - 2288*w**3 + 35748*w**2 - 91288*w + 57824 = 0?\nAnswer: 1, 2, 13, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67338, -67336, -67334, -67332, -67330?\nAnswer: -67328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j = 0, 4*m + 2*j = 5*m. Suppose m = 3*d - 8*d. Let x = -3 + 1. Which is the third smallest value? (a) x (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*l + 630 + 245 + 465 = 0 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-1)*6\/5. Suppose -2*y = y - u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2550049.\nAnswer: 1427, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, 0.05412, 3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51289.\nAnswer: 7, 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11256 (base 10) in base 7?\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 243 = -0 - 177 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 460\/644*35\/175\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 1494 = -8*f. Let i = f + -346. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79852939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 0*i**3 - 2*i + 0 - 1\/15*i**5 + 1\/2*i**2 + 1\/12*i**4 + 1\/60*i**6. Let o(a) be the first derivative of q(a). Factor o(g).\nAnswer: 2*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3361 - -3?\nAnswer: -3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/96 and -161\/3876.\nAnswer: 31008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 436 - 421. Solve 12*k - s = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/39))\/((m\/(m\/m**(-13))*m)\/m))\/((m**(2\/21)\/m)\/m**(-11)) assuming m is positive.\nAnswer: m**(451\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 6*d + 90 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3652198577.\nAnswer: 4637, 787621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13604498.\nAnswer: 2, 101, 67349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1825572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 14*j + 7. Let v be (-2)\/4*2*-4. Suppose 99 = -v*w + 7*w. What is the remainder when w is divided by t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6429551*x**3 - x**2 + 1699*x + 1?\nAnswer: 38577306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002058 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2971451920 to the nearest one hundred thousand.\nAnswer: 2971500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-72)*(-14)\/70*15.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 3*x - 3. Let u be k(-5). Let j(q) = 238*q + 13800. Let l be j(-58). Sort 0, 3, l, u.\nAnswer: l, 0, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/54*315\/140)\/((-15)\/(-8))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 19*r - 113. Let f(y) = 4*y - 23. Let n = 242 + -253. Let u(i) = n*f(i) + 2*v(i). Give u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(363) + 5 + (1*(sqrt(363) + (1 + sqrt(363) - sqrt(363) - sqrt(363))) - (-1*(sqrt(363) - -2*sqrt(363)) + sqrt(363))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 20*c = 14*j + 40, -2*c + j = -3*c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i + 3*i + i**3 - 3*i to v*i**3 + s + t*i + h*i**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 8, 0.03, 0, 4, 131, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 332323?\nAnswer: 332332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 408, -3, 0.1 in increasing order.\nAnswer: -3, 0.1, 1, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -158*o + 131. Let g be x(-4). Suppose h - g = -5*a, 4*h - 303 = -3*a + 2749. Is 67 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 4:30 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-1*2*(-12)\/18. Let p(d) = -d**3 + 6*d**2 - 3*d - 2. Let j be p(5). What is the derivative of j*w - 1 - 5*w - a*w wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {z: 1, k: 2, i: 1, q: 1, v: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43262398?\nAnswer: 2, 37, 584627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 29 = -3*i, 0 = -2*i + 4 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*b + 528 = 0, -4*t = -b - 232 - 204. Let s = t - 10. What is the remainder when s is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 60*s - 9*s**2 + 60*s as f*s + g + q*s**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**4 + q + q**2 - 843*q**3 + 816*q**3 - 7*q**4 + 20 to c*q + a + x*q**4 + b*q**3 + f*q**2 and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-26))\/((-13)\/(24518\/23)). Let r = -32 + 37. Is r greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/7 equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 6\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12209 times -0.178?\nAnswer: -2173.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224\/3 + 75. Which is the nearest to m? (a) -0.2 (b) 2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -320 in descending order.\nAnswer: -3, -4, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(50) - (2*sqrt(200))**2.\nAnswer: -800 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = -5*c. What is the common denominator of 7\/12 and c\/(-7) - 1900\/(-336)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*o = -41*o - 12. Suppose -33*u - o = -39*u. Let a(w) = -w**3 - 2*w**2 + 2*w + 2. Give a(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1859, -3780, -5785, -7874?\nAnswer: -10047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -0.02. Suppose -7*o + 2*o = -15. Let j be 2*44\/24 - o. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -339020672.\nAnswer: 1\/169510336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 8 - 49) + 10 - (-9 + -6 + 6)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + (-13500)\/(-35))\/(2\/(-42000)). What is i rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15484 and 48412.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -36\nAnswer: -151\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 322717652*c**2 + 400073516.\nAnswer: 645435304*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011569056 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -51*c - 302. Let p be h(-6). Solve 8 = -p*o - 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*w - 3 - 146*w + 74*w)*(-3*w + 5*w - 5*w).\nAnswer: -12*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veqvieciqssq. What is prob of sequence isev?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142853804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from kzwkkzkuwkzk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-6))\/((-2)\/(-66)). Let w(u) = u**3 + 11*u**2 - 1. Let i be w(j). Sort 2\/17, 3, i.\nAnswer: i, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 448*l**2 + 66*l**3 + 1\/2*l**5 - 14*l**4 + 0 + 512*l.\nAnswer: l*(l - 16)**2*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + y**2 + 0 - 8 - 4*y)*(-2 + 3*y**2 + 2).\nAnswer: 3*y**4 - 12*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*k = -7 + 9, -4*l - k = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.617464 months?\nAnswer: 0.0218122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 2, a: 1, c: 1, x: 2, m: 2}. What is prob of picking 1 x and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23344 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = -4*p + 20*q + 2670, -3*p + 1997 = -q. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -0.6, 36, -5.\nAnswer: -26, -5, -0.6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2023 (base 5) to base 15\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2103 times -22?\nAnswer: 46266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22460, 89574, 201432, 358034, 559380, 805470?\nAnswer: 1096304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1638584 and 0.123?\nAnswer: 1638584.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0*l**3 - l + 0 + 0*l**2 + 1\/4*l**4. Let v(z) = -3*z**2. Give q(v(f)).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90981 + 0?\nAnswer: 90981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, t: 2, d: 4, g: 1}. What is prob of sequence ddd?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41*3\/10 + 0 and (-34)\/187 - 1846\/(-352)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + (-107)\/2)*(-4 + (-32)\/(-10)). Solve -85 = -25*d + c*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 12. Let v be i(3). Let o(h) = 6*h + 89. Let m be o(v). Which is smaller: 2\/91 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 531, 622, 681, 720, 751, 786, 837?\n\"Answer: 2*t**3 - 28*t**2 + 161*t + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 + -10101101?\nAnswer: -10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.053 smaller than -2437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21420 by 3570.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 22 = -5*h. Suppose -4*p - 23 = -7. Put 3, p, h in decreasing order.\nAnswer: 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1908, -1917, -1922, -1917, -1896, -1853?\n\"Answer: y**3 - 4*y**2 - 4*y - 1901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -381195, -762369, -1143543, -1524717, -1905891, -2287065?\n\"Answer: -381174*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/13))\/(g**(-5\/13)*g))**(4\/7))**(40\/7) assuming g is positive.\nAnswer: g**(480\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-44))\/(147\/(-72) + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -919.533 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-117105)\/(-888) + -132).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (294\/(-8))\/(9\/216*-2). Suppose -189 - z = -18*x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2176, -5975, -11390, -18415, -27044, -37271, -49090, -62495?\n\"Answer: l**3 - 814*l**2 - 1364*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1927944 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 = -3*w + 16*j - 18*j, -3*j - 414 = -2*w. Calculate the smallest common multiple of 4 and w.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43062 in -5\/191, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 3*x. Let u be a(4). Let d = -2 - u. Find the first derivative of 1 - 4*h**4 + 4*h**4 - d*h**4 wrt h.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2 - 244*r = 0. Calculate r.\nAnswer: 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -10 + 1 + (-1 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3204 and 32.\nAnswer: 25632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*f**3 + 54*f**3 + 53*f**3 + (0*f**2 + 3*f**2 - 5*f**2)*(0*f + 5*f - 4*f) - 2*f**3 + 2*f**3 - f**3.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46*((32\/24*-1)\/2)\/((-156)\/(-117))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 - 207 + 780 - 169 - 200 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -44, -41, -36, -29, -20, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Let i(j) = j. Let z(r) = 4 + 0*r - 1 - 3*r. Let y(d) = -1. Let h(l) = 5*y(l) + z(l). What is u*i(q) + h(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - -26. Let g(r) = 1. Let y(p) = 2*p + 6. Let w(l) = -2*g(l) - y(l). Let u be w(-10). What is the highest common factor of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1)\/(62\/9889*87).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**9\/120960 - s**8\/13440 + s**7\/5040 - s**5\/60 + 3*s**2. Let p(f) be the third derivative of r(f). Solve p(i) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.993 to 1 dp.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 1 + 20 - 7352*b + 9.\nAnswer: -7352*b + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 147. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14752 - -14757. Which is the nearest to 0? (a) 0.2 (b) -41 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77*d + 36*d + 28*d)*(1 - 3 - 3 + 0) as y + o*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from lxxlrxlxxxxxxxx?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 120120797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.41 - 0.322. Round x to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1633 and 9017?\nAnswer: 207391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 32 + (-39 - -4 - -30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose h = -2*v - 0*v. Factor -1\/3*y**2 + 0*y - 2\/3*y**3 - 4\/3*y**5 + v + 7\/3*y**4.\nAnswer: -y**2*(y - 1)**2*(4*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -3*p**4\/4 + p**3\/3 + p**2 - p - 717. Let k be (-18)\/(-8) - (-3)\/(-12). Calculate y(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*l + 2257 + 2150 + 212 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84429602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.202996 to 1 dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 4:43 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 31*l**2 + 37*l - 211. Let z be r(30). Which is the second biggest value? (a) 4 (b) z (c) 0.116 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 41. Find z such that -1\/3 - z - 1\/3*z**3 - z**q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-3 + sqrt(2448) - sqrt(2448)) + 3 + sqrt(2448)) + -3*(sqrt(2448) - (sqrt(2448) - sqrt(2448)*-1 - sqrt(2448)))*-2)**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**3 - 2*c**2 + 3*c - 2. Let f = 2425 - 2424. What is n(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*f + 16 = 0, 974*f - 972*f + 10 = 0. Find k, given that 2*k + 16\/3 - 1\/3*k**u = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbba. What is prob of picking 1 w and 2 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25163 + -276263\/11. Let q = -37\/22 + n. Find the common denominator of -27\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 134\/6 - 4\/24*-4. Let z = 61 - w. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**8\/112 + 4*g**5\/15 + g**2\/2 + 7*g. Let l(h) be the first derivative of z(h). What is the third derivative of l(b) wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, -3\/4, -0.001 in decreasing order.\nAnswer: -0.001, -3\/4, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4011840 and 640.\nAnswer: 8023680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4934+3.275795\nAnswer: 4937.275795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 4 = 0. Let k = 6 - 7. Put -2, k, n in ascending order.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 6:12 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6580678 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Suppose 0 = v - 4*v + 3*s + 15, -9 = 3*s. Let f(u) = 3*u + 5 + v*u - u + u. Suppose -2*w - 9 = -11. Give w*f(n) - 4*o(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4648525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + -1)*4.\nAnswer: -12*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -250312*s**3*u**3 + s**2*u**3 + s**2*u**2 - 138*s**2*u + 208*s*u**3 wrt s?\nAnswer: -1501872*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4615 - 4597. Which is the second biggest value? (a) 2 (b) g (c) -1 (d) -4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 - 25602*a**2 + 292 + 25292*a**2.\nAnswer: -310*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = g - 4*g. Suppose 0 = -54*k + 53*k - 2. What is the remainder when k\/(-4) + 79\/2 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (14 + -16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**16)**3 assuming r is positive.\nAnswer: r**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) 5 (c) -0.1 (d) -34 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s + 4. Let z be i(3). Let q be (30\/4)\/3*4. Let w = z - q. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/24887323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(216)*6 + 2*(sqrt(216) - sqrt(216)*-2))\/(sqrt(64)\/(sqrt(800)*-2 + sqrt(800))*-6).\nAnswer: 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3887096, 3887090, 3887084, 3887078, 3887072, 3887066?\n\"Answer: -6*k + 3887102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-117) + (-76)\/72. What is the closest to 0 in 0.1, -1, -5, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*1*-1*16\/(-32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6073 - 11.306.\nAnswer: -10.6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*h**3*n + 34503429*b**3*n - 180*b**2*n + 4*b*h**3 - 7*b*n + 8*h*n + 36*h wrt b.\nAnswer: -6*h**3*n + 207020574*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1204.59 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 4*i**5 + 3*i**2 + (-5*i**3 - i**3 + 5*i**3)*(1219*i**2 - 1199*i**2 - 1 + 3).\nAnswer: -16*i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/9 + 1300*p**4\/9 + 718*p**3 + 860*p**2 = 0 for p.\nAnswer: -645, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001395 rounded to five dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 58*b**2 + 386*b - 125. Determine n(64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(75\/15))\/((-506)\/(-55) + -9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in months?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:53 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -4*l - 213. Suppose 11*w = -26 + 70. Solve -w + l = -10*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from hhhhhbhhhhbhhhhbhbhh?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvu when three letters picked without replacement from {t: 2, u: 1, i: 3, f: 1, c: 4, v: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 124*m*q**3*z - 71*m*q**2*z**3 - q**3*z - 64554*q*z**3 wrt m.\nAnswer: 124*q**3*z - 71*q**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d. Let j(f) = f - 4. Let m(b) be the second derivative of b**3\/3 - 5*b**2 - 19*b - 1. Let q(l) = -5*j(l) + 2*m(l). Determine u(q(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -10*m - 983*h + 972*h, 0 = -3*m - 5*h - 38 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20052, 20082, 20130, 20196, 20280, 20382?\n\"Answer: 9*c**2 + 3*c + 20040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 12. Give b(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/34 - (-35495)\/3893.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -24 + 10 + 40\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, b: 4}. What is prob of picking 2 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1. Let n(g) be the second derivative of g**3\/2 + 2*g**2 - 153*g. Determine 2*h(m) - n(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12*x - 1. Let o be r(1). Is o at least -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119.5 - -172. Let f = z + -56. Let d = f - -5.5. What is the closest to d in -8, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 41008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 72498*m + 48. Suppose -3*l + 78 = 6. Let c be y(l). Round c to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 + 45686*h - 91371\/2.\nAnswer: -(h - 91371)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(14\/(-6))\/((-77)\/33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/17 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1717 divide 93223034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3840 and 120?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.64066146 to one decimal place.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 327.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqzqkqcz. Give prob of picking 2 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*z)*(-23 + 6 - 25)*(-1 - 3 + 6).\nAnswer: 168*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -24498.\nAnswer: -2\/12249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 - 2*c**2 + 3*c**2 + 4*c - c**2 - 4*c - 2*c**2 + 5*c**2 - 2*c**2 + (0*c + 4*c - 5*c)*(3*c - 4*c - 5*c) to the form y*c**2 + d + z*c and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 727301 less than 44717362?\nAnswer: 43990061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27600\/21240 - 1*20\/15?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6290 + 6361. Calculate the remainder when z is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(441) + sqrt(441)*3).\nAnswer: sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 165*s. Let p(f) = 12*f - 1. Let c(y) = 13*p(y) - t(y). Let i(b) = 5*b + 6. Give -3*c(a) - 5*i(a).\nAnswer: 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 14. Let u = 19 + a. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51.193 + 13.061. Let o = -38 - q. Round o to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10153*g**2 + 13225*g**2 + 28235*g**2 + 46156*g**2.\nAnswer: 97769*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7240963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/10)\/(15\/350). Let b = 181 - 95. Let w = q + b. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2485, -5003, -7489, -9943?\n\"Answer: 16*f**2 - 2566*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18858\/4041*(-189)\/539.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviiiiviivviiviiii. Give prob of picking 2 i.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/14*(51 - (-20 - -72))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5\/3 + 40*n**4\/3 - 1268*n**3\/3 + 24*n**2 + 12096*n - 26496 = 0.\nAnswer: -23, -6, 3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 49310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 56643 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*p + 23 - 72 + 22 - 2*p**3 + 26 + 7*p - 286*p**4 as t*p + m + d*p**3 + n*p**4 + y*p**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 35693384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-16)*(156\/(-90))\/((-1)\/6)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.4617 centuries to years.\nAnswer: 33046.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*a - 413 = -131 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2544 and 1170876.\nAnswer: 4683504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/6, -24\/71, 113?\nAnswer: -24\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24.3, -2\/17 in decreasing order.\nAnswer: 24.3, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a8 - 24?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 575367739 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7323309?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -188. Let r = n + 54. Let h = r + 55.000108. What is h rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(((p\/(p\/(p*p**(-11))))\/p)\/p))\/p)\/(p\/p**(-6\/7)*p))\/(p**(-31)\/p**24) assuming p is positive.\nAnswer: p**(456\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17b5d - -3?\nAnswer: 17b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 152*w**4 - 298 + 259 + 1581*w**4 + 5*w**2 wrt w.\nAnswer: 41592*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 88*j + 97*j - 52*j.\nAnswer: -2*j**2 + 133*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:27 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49\/45 + -6\/5. Which is the third biggest value? (a) j (b) -3 (c) 14 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172580251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10107.0001147 - -10107. What is n rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + q + 0*q + (-14*q - q + 3*q)*(3 - 5 - 3) + 2*q + 2*q + 0*q.\nAnswer: 66*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 + 8 = 2*w, -4*w = -20. Suppose k = -p*k. Suppose 5*l - 4*v - 25 - 3 = k, 2*l = -4*v. Solve 5 = a + l*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 327 + -326.18. Let l = z - 0.32. Let u be 2\/13*11\/77. Sort l, u, -4\/3 in ascending order.\nAnswer: -4\/3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 62 + -b?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 634159, 634144, 634119, 634084, 634039?\n\"Answer: -5*h**2 + 634164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 10 + 30. Suppose -11 + 1 = -n*x. Suppose 0 = -7*s + x*s - 20, 5*p - 3*s - 87 = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**2. Let m(b) = 594137*b - 8. What is m(w(o))?\nAnswer: 4753096*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10886 - -10918. Which is the second smallest value? (a) 2 (b) -2 (c) -2\/3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -4.9?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.019453 and 237112.\nAnswer: 237111.980547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6179.\nAnswer: 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 74*a - 2. What is c(-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264601580 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16557 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l**(-5))**(1\/11)\/(l**5\/(l\/l**(2\/13))*(l*l*l**(2\/5)*l)**(-29)) assuming l is positive.\nAnswer: l**(68439\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - k**2 + (-4 + 4 - 3*k)*(2*k + 8 - 8).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 8*p**3 - 62*p**3 - 4*p.\nAnswer: -70*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 5*t - 2*t**2 + 3*t - t**3 + 3*t**3 to the form x*t**3 + m*t + b + j*t**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -305\/4. Let q = -1 - h. What is the second biggest value in 5, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 41 - 9)*(1127*d**3 - 985*d**3 + 529*d**3) in the form w*d + a*d**2 + o*d**3 + b and give o.\nAnswer: -40931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*770\/(-462)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + -1. Let l = 41.3 + j. Sort l, -0.4, -5, -4 in descending order.\nAnswer: l, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -118. Let k be y\/(-4) + (5 - -11). What is the greatest common factor of k and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-42)\/30. Let j = v + 14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4 - 4)*(-8 + 8 + 11*v) as i + k*v and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 52*g + 1. Let a be s(-1). What are the prime factors of (-4)\/(36\/a)*3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (-3*sqrt(17) - sqrt(17))*3)**2 - sqrt(17)) + (sqrt(17) - ((1*sqrt(17))**2 + 5)) + 1.\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21432 - 24527 + 45961 - 63*p.\nAnswer: -63*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 30939 and 73047765.\nAnswer: 73078704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 8*r - 7. Let w be j(6). Let u = 2.237 - -0.763. Which is the smallest value? (a) u (b) -3\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51807, -51849, -51905, -51981, -52083, -52217, -52389?\nAnswer: -52605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1063582085 or 1063582084?\nAnswer: 1063582084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/15 or -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -838 - 18*h + 2*h + 2*h**2 + 836 in the form q*h + x*h**2 + l and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(0\/(-4) + 1) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 5 = 11*m. Suppose -25 = -5*a + m*r, 2*a - 4*a = -2*r - 12. Solve q - 3 = a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2687895 (base 11) to base 14\nAnswer: -889bc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2.239, -1 in decreasing order.\nAnswer: -1, -2.239, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002958 rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let g be y(-2). Let p be (-1)\/((g\/(-9))\/1). What is the second derivative of -5*a + 6*a**4 + 3*a**p + 6*a - 3*a**3 wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 2*i**4\/3 + i**3\/2 - 20*i**2. Let x(w) = -5*w + 0 - 1 + 0. Let l(v) = 4*a(v) + 14*x(v). Differentiate l(z) with respect to z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000457888 rounded to seven decimal places?\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**2 + 3*s - 3. Let f(c) = -14*c**2 + 7*c - 7. Let z(i) = -3*f(i) + 7*v(i). Let k(b) = -2*b**2. What is z(k(d))?\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*r**4 - 29*r**4 + 10*r**4 + (3 - r - 3)*(-3*r + 3*r - r**3) - 2*r**4 + 0*r**3 + 0*r**3 - 2*r**4 + 3*r**4 - 2*r**4.\nAnswer: 116*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2 + 2)**2 + -1 + -2 + sqrt(475) - 2*(sqrt(475) + sqrt(475)*1*2)*-4.\nAnswer: 165*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2 - 369888*w + 45465966 = 0.\nAnswer: 123, 184821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 40*n**2 + 105*n - 90.\nAnswer: 5*(n - 3)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12*w - 85 = -7*w, 3*w = g + 9. Does 45 divide 262\/4 - g\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -29, -41, -55, -71, -89, -109?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49354, -98719, -148084, -197449?\nAnswer: -246814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4d3b06 (base 14) to base 2\nAnswer: -1010001001101011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - c**3 - 12*c**2 - 4*c + 16.\nAnswer: (c - 4)*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-14)\/33) - (-4)\/8. Suppose -p*o = -20*o + 12. Factor -14\/5*q**2 + 12\/5*q**o + 2\/5 + 7\/5*q**5 - 3\/5*q - 4\/5*q**3.\nAnswer: (q - 1)*(q + 1)**3*(7*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 17*c**3\/3 - c**2\/2 - 6. Calculate the smallest common multiple of 4 and u(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300 divided by -3\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/20522970 and -155\/304044.\nAnswer: 41045940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2 - -1) + (0 - -3) - -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10234, -1, 10.\nAnswer: -1, 10, 10234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/6 + 13*l**3\/3 + 3*l**2\/2 - 20*l. Let i be n(-13). Solve -i*c - 2 = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -5*h - 25, -2*h - 20 = 23*b + 2*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 5*j - 52 to h*j + m and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 7. Let l(n) be the third derivative of -n**4\/12 + 2*n**3\/3 - 70*n**2. Let q be (-368)\/69 + 1\/3. What is q*l(d) - 3*g(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 - 21*b**2 - 20*b + 11. Suppose 2*w + 3*y = -2*y - 28, -4*w + 2*y - 32 = 0. Is f(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117201\/14*(-2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3294*q**3 + 6561*q**3 + 5*q**2 - 3304*q**3 - 1 as v*q + w*q**3 + k*q**2 + g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:33 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-4 + 36\/8). Let a(b) = 25*b**3 + b. Let o be a(s). Solve 0 = 5*f - 4*z - o, -z + 11 = -5*f + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - 1*sqrt(168)\/sqrt(3) - sqrt(336)\/sqrt(54))\/(sqrt(88)\/(sqrt(11) + sqrt(44)*-3 + sqrt(11))).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416718.\nAnswer: 2, 113, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3200681419?\nAnswer: 13, 167, 1171, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*6*(-10)\/(-240).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 317898 and 134190.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcrc when four letters picked without replacement from {c: 3, r: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 0*c**2 + 2*c**2)*(-113*c**3 - 2484 + 2484).\nAnswer: -226*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234.9385 + 0.0615. Let l = u + -234.8. Let o = 497\/11 + -45. Sort o, l, 9\/5.\nAnswer: o, l, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.85376 months in decades?\nAnswer: 0.015448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 35, 48, 61?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/6*(-18)\/(-12). Suppose y*c - 15 = -39. Let x = c + 8. Calculate the smallest common multiple of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 53 = -2*j, 3*r = -0*j - 4*j + 99. Let n = 106 + -105. Let g be (-180)\/n*(-12)\/(-30)*-1. Calculate the highest common divisor of j and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -11784?\nAnswer: 11784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 40*p**2. Let i = -258 + 264. Let v(t) = -5*t**2 - 6*t - 12. Let l(s) = 14*s**2 + 17*s + 34. Let z(y) = i*l(y) + 17*v(y). Calculate z(h(n)).\nAnswer: -1600*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - -3) + (-7 - -2). Suppose -2*d - z*d = 12. Sort 7, d, 2 in decreasing order.\nAnswer: 7, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56639154 by -3.\nAnswer: 18879718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58*c - 29*c + 4*c)*(-1 - 3*c + 1) - c**2 - c**2 + c**2.\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/9 + 112*g\/9 - 110 = 0.\nAnswer: 11, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -28. Suppose 4*s = 2*c + j, 2*s + 4 = -c + 3. Let l(w) = 7*w**2 + 1. What is the units digit of l(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-36) + (-482)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 - 17622*v - 793040\/9 = 0. Calculate v.\nAnswer: -5, 79304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -729 (b) -1.1 (c) 3 (d) -2 (e) 0.2 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.1 + 165.81.\nAnswer: 156.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(678\/340 - 2). Let s = 255 + q. What is the highest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11936 is divided by 917.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6696 or -8?\nAnswer: 6696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*2*sqrt(63) + sqrt(63))**2.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.07 (b) -1 (c) -2 (d) -2\/385 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(50)*1)\/(sqrt(10) + (sqrt(90)*3)\/sqrt(9)) - (-2 + (-1 + sqrt(80))*-6 + -5).\nAnswer: 1 + 93*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 98 + 23. Find the common denominator of -4 - (-1 + t\/(-10)) and 69\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 186979324.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 8}. Give prob of picking 2 p.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrrwrrwwrwr. What is prob of picking 3 w and 1 r?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272894, 1091197, 2455050, 4364465, 6819454, 9820029, 13366202, 17457985?\nAnswer: 22095390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 1. Let y(b) = -b**2 + 1. Let u be y(0). Let j be g(u). Suppose -10 = -5*k, -j*a + 4*k + 520 + 340 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -25, -81, -191, -373, -645, -1025, -1531?\nAnswer: -2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.94. Let h = c + -0.04. Let r = -1610 + 1612. What is the closest to -1 in r, 3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 - -3.2. Let q = 5 - l. Let s = 1.6 - q. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6\/13)\/x)\/(x**(-31)\/x))**(-1\/2) assuming x is positive.\nAnswer: x**(-397\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8282460 and 9060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-27)*(-40 + 1). Let i = -6 - w. Suppose 4*p - i = -23. Let k(g) = -2*g**2 - 5*g + 4. Calculate k(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 (base 13) in base 8?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(63))*-3.\nAnswer: -9*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 35 - 5. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h. Let j(s) be the first derivative of -s**2\/2 - 6. Determine c(j(d)).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/395634944 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**2. Let l(o) be the second derivative of -3\/2*o**3 - o + 0 + 0*o**2. Calculate i(l(m)).\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t. Let w be 0 + -15 + t + 0. Let c be 12\/10*w\/(-3). Solve y - c*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -2*s**3 - 2*s. Let x(n) = -4*n - 12. Let l(q) = -3*q - 8. Let c(g) = -6*l(g) + 4*x(g). Determine c(w(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q + 31*q = 3*o - 28, -o + 2*q = -16. Calculate the remainder when 525 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*z - 33, 0 = -4*z + 2*k - 13 + 55. What is the remainder when 68 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.85 + -9. Let z = l + 0.14972. What is z rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11411.6048 and -7.5.\nAnswer: -11419.1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -12*l + 70. What is the lowest common multiple of l and (-2)\/5 - (-62)\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 2, b: 1, f: 2, k: 3, o: 6}. What is prob of sequence oko?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8982*f**3*q + 482*f**2*q - 130*f*q - 380*q - 22 wrt f.\nAnswer: -53892*f*q + 964*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 10*f + 32 = 0, 22 - 26 = -4*m + 3*f. Which is the biggest value? (a) 27 (b) -3 (c) -1 (d) m (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*o**2 - 76508*o - 22063371?\nAnswer: 32*o - 76508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -334*l + 335*l + 2*d + 6, d = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 355 (c) -0.4 (d) -16\/21 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 453*u + 453*u + (0*u + 0*u + 2*u**2)*(4 - 1 - 2) to the form x + v*u + h*u**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94614511 a multiple of 1708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 34469347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*k + 10 - 10)*(-4 + 4 - 10*k)*(-34 + 34 + 2*k - 24*k**2) as t*k**3 + v + h*k + p*k**2 + j*k**4 and give t.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -742998.3 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)*x**(-1\/8))\/((x\/(x\/(x**(-1\/8)*x)))\/(x*x**(3\/4))) assuming x is positive.\nAnswer: x**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.8 + 12.3. Let n = 25.3 - w. What is the biggest value in -1, -7, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951 - 8*y**2 + 951.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7854 and 79087.\nAnswer: 86941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y - 1. Let n be m(0). Suppose 98*x - 93*x = 15. What is the closest to n in x, -1, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2246 - 4*f + 956 + 1121 as i + j*f and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 12*b - 19. Let f be z(6). Let y = f + -18. Let o be (3\/y)\/((-3)\/2). Solve -3*m = -3*h - o*m + 14, -4*h + 2*m = -18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5045*i = -5042*i - 6*s - 21, 5*s = 2*i - 12 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -11*y + 255. Let x = -15 + y. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-6)*(-35)\/(2975\/(-51)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 10*c**2 + 86*c - 83. Calculate t(-15).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:33 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/13*1\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*t - 4*w + 14 = -167*t, 7 = -3*t - w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2906091 by 2.\nAnswer: 2906091\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-10850) + (-8)\/10*13\/(-182).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7835652 and 155100.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (3 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 71210286 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -95. Let f = -68 - -139\/2. Sort 0.1, f, q in descending order.\nAnswer: q, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqpyqqypqbp. What is prob of picking 1 q and 2 p?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 0.62 (c) -17\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00697 to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1724, 1707, 1664, 1601, 1524, 1439, 1352, 1269?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {j: 2, y: 7, g: 1, s: 6, e: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwwwwlwcwc. Give prob of sequence ww.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b - 5. Let r(o) = -o + 1. Let g = -40 + 37. Suppose -5*m = -6*j + 2*j - 55, j + 5*m + 20 = 0. Give g*s(v) + j*r(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) -0.5 (c) -83\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(-3*a + 4*a - 5*a)*(-2 - 9 - 8).\nAnswer: 304*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (6 - (-264)\/(-32))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + 0*p)*(0 - 2 + 4)*(-3 + 2 + 4)*(1 + 1 - 3) - 26*p + 60*p + 151*p.\nAnswer: 179*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3765504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*f + 80. Let y be ((-12)\/(-8))\/(3\/f). Suppose 0 = -11*p + 9*p. Solve -4*c + y*c + 20 = p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from ssssssssszzss?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1764)\/(-735))\/(32\/(-30)))\/(2\/(-56))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155490 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h - 20. What is the remainder when (-12)\/30 + 210\/25 is divided by (-6)\/30 - (-26)\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 57?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296 + 205. Do c and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*a**3 - 68*a**2 - 528*a + 331 wrt a.\nAnswer: -876*a - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 50999.\nAnswer: 3\/50999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 7:23 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30079*1\nAnswer: 30079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -1588313?\nAnswer: 177\/1588313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3296119*v**3 + 2*v**2 + v - 2. Let s be x(1). Let b be (0 - 4 - -3) + s. Let c = b - 10896119. What is c rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4*v)\/v)\/((v*v\/(v**3\/v*v))\/v)*v**8*(v*v*(v\/v**(-7))\/v)\/v assuming v is positive.\nAnswer: v**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p. Let g(v) = 2*v + 18. Let s be g(16). Let x = 52 - s. Give r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114.908 - 0.092. Let j = n - -115.13. Let w = j + -0.23. Which is greater: w or -50?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 15*s + 50. Let n(m) = 5*m + 17. Let g(k) = 11*n(k) - 4*z(k). Is g(-8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 25 = -l, 2 = 3*l + 4*b + 7. Let p be l\/((9 - 4)\/10). Let u be (4 + 1)*p\/10. Solve -u*i - 5 + 13 = -w, 0 = -5*w + i - 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 3. Let d(h) = h. Let o(b) = 5*d(b) - x(b). Let v be (-1 - 6\/(-4))*-4. Determine o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 367826984 by -91956746.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*b)*(-8*b**4 - 2*b**4 - 5*b**4) + 2*b**5 - 2*b**5 + 3*b**5 + 1 - b**2 - 2*b - 14*b**4 + 10*b**5 + 14*b**4.\nAnswer: -17*b**5 - b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*k + 75*k + 209*k + 3 in the form v + a*k and give a.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 0*b - 3*b. Let y(j) be the second derivative of 1\/2*j**3 + 0*j**2 - 2*j + 0. Calculate y(o(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6053 + -18157\/3. What is the closest to 2 in k, 4, 9.64?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 17. Suppose 11*m + 15 = 14*m. Let q be h(m). Let j be q\/((-1)\/(15\/6)). Let t(y) = y**2 - 4*y - 1. Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 6*m + 13. Let b(v) = -3*v**2 + 10 + 3 + 23*v - 18*v. Let n(g) = 5*b(g) - 4*i(g). What is the units digit of n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-23)*r*r*r\/r**(1\/21))**10 assuming r is positive.\nAnswer: r**(-4000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.25 and -13.\nAnswer: -3.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -1\/30*m**5 + 0*m - 4 - 3\/4*m**4 - 14\/3*m**3 - 18*m**2. Solve d(z) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - b8?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**6\/(c**22\/c*c) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5\/13 + 646*u**4\/13 + 3190*u**3\/13 + 3170*u**2\/13 - 3192*u\/13 - 3816\/13 = 0.\nAnswer: -318, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7790 + -3141. What are the prime factors of y?\nAnswer: 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4324.\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 65, 94, 133, 188, 265?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.749 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23285 + 23352. Solve -j*b + 102 = -16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 - 30 = -18*i. Let n(s) be the first derivative of s**4\/4 - 8*s**3\/3 + 7*s**2\/2 - 5*s - 1. What is the tens digit of n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 20*v - 7. Let i(x) = 6*x - 2. Let f(q) = 7*i(q) - 2*u(q). Let d(y) = 2*y. Let r(t) = -2*d(t) + f(t). Let k(z) = 21*z**2. Determine k(r(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13997, 13991, 13973, 13937, 13877?\nAnswer: 13787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*b - 17 - 17, -2*b + 5*r = 19. Suppose 3*w - 213 = -b*z, 3*z - 361 = -2*z - 3*w. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 906, 838, 770?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110675063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**2 + 33*v + 33. Let n(t) = 6*t**2 - 16*t - 16. Let m(j) = -2*d(j) - 5*n(j). Let k be m(8). Which is the nearest to k? (a) 32 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9767, 0, -2 in ascending order.\nAnswer: -9767, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8475664.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -165 + 81 - (-10 + (21 - (17 + -8)))\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Is (3 - 4) + 41 - j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -60*j + 1. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002317647759 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -104 (b) -4 (c) 138 (d) 523\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from xbcjj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1259979 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, 9, 54, -3\/118?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1977 != -1976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s - 2*s**4 + 0*s - 2*s**3 - 2 + 4*s + 0*s**3 to m*s**3 + b*s + q*s**4 + t*s**2 + a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -96 + 43e1?\nAnswer: 434b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**3\/6 + 262615*o**2\/6 - 5747263621*o\/2 + 5747176083\/2 = 0.\nAnswer: 1, 131307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:08 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**4 + m**2 + 4*m. Suppose 5 + 10 = -3*x. Let s(g) = g**4 - 5*g. Let q(t) = x*r(t) - 4*s(t). What is the third derivative of q(l) wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124276 or 124269?\nAnswer: 124269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10. Solve 3*p - 9 = -z*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a day in minutes?\nAnswer: 16992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 - 15*u**3 - 91*u**2 + 30328 wrt u?\nAnswer: 8*u**3 - 45*u**2 - 182*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1564 in 2, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-8))\/z)\/(z\/(z\/(z**(-1\/4)\/z))))\/(z**(2\/5)\/(z\/(z**(1\/2)\/z)*z*z*z))*z**(-5)\/((z*z**5\/z)\/z*z*z*z*z)*z**(-2)*z**(2\/3)\/z assuming z is positive.\nAnswer: z**(-1019\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/49 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + (sqrt(80) - sqrt(80)*-3))**2*-6.\nAnswer: -12000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3*p**3 - 8 + 9*p**2 + 6*p + 4*p**3. Suppose 4*f + 2*y = -22, 0 = 4*f - y + 54 - 17. Let h be v(f). Round h to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 992*c**2. Let s(w) = -8*w**2 - 5*w - 5. Let i(g) = 3*g**2 + 2*g + 2. Let z(m) = -5*i(m) - 2*s(m). What is z(t(b))?\nAnswer: 984064*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2 and -3 - (-131)\/140*2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*r**2 + 535*r - 535*r.\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10))\/((-4)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 42. Let p be u(-3). Let j(y) = -2*y**3 - 12*y**2 + y + 49. Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwxzxxwwwx. Give prob of picking 1 x and 1 w.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/3, 314517, 8.8 in descending order.\nAnswer: 314517, 8.8, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t + 21*t + 204 + 181 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 679, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142689111 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 0*j**2 - j**2)*(j - 2*j - j) + 5*j**3 - 2*j + 1 - 2 - 4*j**3 as f*j**3 + i*j + r*j**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + 18\/(-6) - 917\/420 and -81\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1681 + 1690.29. Let y = m + -9.29000637. What is y rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 9*i + 2*i + 6*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-2448)\/(-128))*3\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r + 21. Let b = -2 + 6. Solve 3*y = -4*a - 19, -2*a + y + b*y - r = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 33, 6 in increasing order.\nAnswer: 5, 6, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -113020 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**4*r + 7*o**4 - 72*o**3*r + 4052*o*r wrt o.\nAnswer: -12*o**2*r + 84*o**2 - 432*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17044 or 16965?\nAnswer: 16965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64683482 - -13?\nAnswer: -64683468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s + 30. Let l be o(5). Which is the smallest value? (a) l (b) -0.5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-12)*3*-4. Let a be 1\/(v - 21\/12). Solve 0 = -y + a, -4*w + 6*w - y + 8 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 1, w: 1, y: 1, b: 1, e: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - -368?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 5. Let g be v(0). Suppose -y - j + 10 = 0, -g*y + 20 + 39 = -4*j. What is the third derivative of -14*h**5 - y + 23 - 3*h**2 - 12 wrt h?\nAnswer: -840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 5:11 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + 0*n)*(-5 + 4 - 1)*(-3 - 4 - 4) + 0*n + 2*n - 5*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 12480278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 2*l**7\/21 + 386*l**6\/15 + 262*l**5 + 1472*l**4\/3 - 1984*l**3 - 76*l + 4. Find q such that d(q) = 0.\nAnswer: -186, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (370 - 0) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 4 + 1 + 40 - (-1 + 2).\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/7920 and -53\/1320.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2852085.\nAnswer: 39929190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.8 + 11. Let d = q - -0.3. Let g be 1*(-5)\/15*1. Which is the nearest to g? (a) d (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104966 is divided by 5344.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15155 + -15029. Which is the closest to -2\/3? (a) -1 (b) f (c) -0.2 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q\/(q*q**(-6\/5))))*q)\/(q*(q\/(q**(-8)\/q))\/q)*(q**(-2\/15)*q)\/(q\/((q**(-1\/14)\/q*q)\/q)*q) assuming q is positive.\nAnswer: q**(-1891\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 269.\nAnswer: -18\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25704816953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 8 - 14 + 0*x - 6 to the form q*x + a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 312, 335, 384, 465, 584, 747, 960?\nAnswer: 1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 6:57 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + 0 + (8 - (32 - 41))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 14*w**2 + 14*w - 14. Give j(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1660e?\nAnswer: 1660b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v + 334. Determine p(-39).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57, 169, 55, 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48*23\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - -421?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - 13.05. Let q = k + 11.9. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1684*o**2. Let a(v) = 2723*v. Give a(n(l)).\nAnswer: 4585532*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**3 - 78*p**3 + 10*p**3 + 45*p**3 + 6*p**3.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -495786 and -7.\nAnswer: 3470502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36415323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-42)*2000\/25. Let z = y - -52\/21. Which is the closest to -0.3? (a) z (b) 8\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44136 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - 331112?\nAnswer: -331204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (65 + -76)) + 5 + -1?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 152*i - 624.\nAnswer: (i - 4)*(i + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*v - 120, 5*m - 6 = -v + 34. Let d(f) = -2*f + 9 - 3*f - v*f**2 + 19*f**2. Let o be d(-7). Put 2, o, 5 in increasing order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 617982420?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + -1 - (29 + -32) - -33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-3)\/(-56)))\/(((-12)\/(-171))\/((-456)\/4332))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 8, 4*f - 22*w + 24*w - 42348 = 0. Let i = f - 3976. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 18. Let q be w(5). Let g = 28 + q. Suppose -5*k - i - 2*i = 134500003, -5*i - 134500005 = g*k. Round k to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690542981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5 + 28*k**2 - k**3 - 4*k - 22*k**2 - 5. What is t(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 6*i - 5. Let w be n(4). Let u = -16 + 40. Let j = 19 - u. Which is the second smallest value? (a) -1\/2 (b) 1 (c) w (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.355 - 1.625. Let j = 0.02 - h. Let v = -39.9999963 + j. Round v to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1670 and -33\/668?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*n - 2124 + 1009 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 52*s - 120.\nAnswer: 4*(s - 2)*(s + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 3*l - 62, -2*l + 1 = -7. Let x = p + 44. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 10. Let l be 0\/(6 - 4) - -2. Let c = l - y. Calculate the lowest common multiple of c and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a meter in millimeters?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.18 - 2.18. Which is the closest to -1\/16? (a) 3\/7 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47ca (base 16) to base 6\nAnswer: -221030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4902392*c**2 + 997137*c - 2 wrt c.\nAnswer: 9804784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(0\/1 - -1). Let f(x) = 2*x**2 - 1236*x + 20438. Let a be f(17). Solve 3*n + g = a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211102101201 + -11?\nAnswer: -211102101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*((3 + sqrt(17))*-1 + sqrt(17)) - sqrt(68)\/(sqrt(48)\/sqrt(12)*-2 + sqrt(4) - sqrt(4))).\nAnswer: -sqrt(17)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.1 (b) -1\/3 (c) 1\/4 (d) -167\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/16 + (-145)\/(-50). What is the third smallest value in 3\/17, 2\/3, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:22 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 622642094 to the power of 1\/2, to the nearest integer?\nAnswer: 24953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-24))\/(1\/16). Let w = 15 - x. Let r = 81 - 48. Calculate the greatest common divisor of w and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2057)\/(-34) - (-2)\/(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-6)*126\/(-35). Let f be (-1)\/o*36\/(-45). Is f > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/((-2)\/(-6)). Let u(o) = -o - 1. Let k(f) = 5. Let d = -6189 - -6190. Calculate d*k(a) + p*u(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 - -279. Suppose -137*k = -f*k + 20. Solve -k*j = -4*n - 12, j + 3*n + 10 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 17*f - 242. What is the least common multiple of 56 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137 or 226?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4930000 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 + -9)\/(4\/2). Suppose -5*b = 4*i - 26 + p, 12 = 3*i - 3*b. Let j(v) = -5*v**2. Let x(l) = 4*l**2. Give i*j(q) + 6*x(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7*11\/154)\/(-5)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2709 divide 3078529272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -533\/9. Let v = 77 - 71. Let c be (v + (4 - 6))*(-2)\/(-24). Sort 3\/4, c, h in decreasing order.\nAnswer: 3\/4, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 times 3974\nAnswer: 1907.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -44*p**2 - 10084*p - 1832 = 0.\nAnswer: -229, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 54 = -48 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 3*n**4 + 43*n**3 + 279*n**2 + 594*n + 432 = 0.\nAnswer: -3, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7140 and 2856?\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y - 12*y - 11*y)*(2 - 3 + 0)*(3 + 0 + 3)*(-3 + 4 - 2).\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 243\nAnswer: -31\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -w + 28. What is the remainder when 19 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 28, 42, 56?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2940 divided by 294\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4\/5 + 126624*y**3 - 1266228*y**2\/5 + 633112*y\/5 = 0. Calculate y.\nAnswer: 0, 1, 158278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*f**3 - 10*f - 91 wrt f?\nAnswer: 24*f**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836813178?\nAnswer: 2, 3, 46489621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -1.7, 44, 5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 26\/127, -2, 54, -6\/11, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-2\/9)))**(2\/37)\/((k*k**(-7)*k)\/k*k**6)*k\/k**(-3)*k**(-2)*(k*k**(-2)*k)**(1\/4) assuming k is positive.\nAnswer: k**(662\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 705*s**3 + 7*s**2 - 3*s + 10. Let a(l) = -1059*l**3 - 11*l**2 + 5*l - 16. Give 5*a(g) + 8*d(g).\nAnswer: 345*g**3 + g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 284653635 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:02 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -502*z + 483*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 51 + (-19 - 53).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5753325136.\nAnswer: 2, 13, 709, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/324 and -167\/3402.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 186 = -5*m - 368, -3*m = -4*s + 346. Let d = 94 + m. Suppose 0 = 3*o + 36 + 12. Is d bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9297\/11 - 845. Which is the second biggest value? (a) -0.2 (b) 5 (c) 0.1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 20 = 0, 0 = -0*h + 3*h + 4*z + 67. Let o(p) = 14*p**2 + 4*p + 5. Let b be o(-2). Let v = b + h. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111473300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let s(z) = 19789533*z. Determine s(c(g)).\nAnswer: 39579066*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3225234 (base 6) to base 11.\nAnswer: -a9746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3591846004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1477*b + 12. Let k(g) = -367*g - 3. Determine 9*k(h) + 2*w(h).\nAnswer: -349*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2107 + 2142. Solve -5*h = -3*t + 19, -5*h - 2*t - 3*t = g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4665*z - 4669*z + x + 16, 12*x = 3*z + 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1435977 - 623210. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 11. Let b be i(-2). Let a be 4\/(-6) + 2\/(-6). Sort a, 0, b in descending order.\nAnswer: b, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49951.86 minus 1286?\nAnswer: -51237.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9 less than 3.6?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*(q*q**(-1\/2))\/q*(q**(1\/2)\/q*q)**14)**(-4\/11) assuming q is positive.\nAnswer: q**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30777 in -0.5, 13, -2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75155 and 2.\nAnswer: 150310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -66*p + 529. What is d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4)*l)**(-2\/13)*(l**(15\/4)*l)\/(((l*l*l*l\/l**2)\/l)\/l) assuming l is positive.\nAnswer: l**(263\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.5 - -7.5. Let x = 3.7 + -4. Sort 0.2, x, 3, y in decreasing order.\nAnswer: 3, 0.2, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -9*a**3 - a**2 - 8*a - 4. Let t(g) = 11*g**3 + g**2 + 9*g + 5. Let z(p) = 6*l(p) + 5*t(p). What is z(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21791, -86389, -194053, -344783, -538579, -775441, -1055369?\n\"Answer: -21533*o**2 + o - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 54. Suppose -14*d + 13*d = -6. Let b be x(d). What is the highest common divisor of 30 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21724 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 199*o**2 + 1889*o - 175. What is x(-189)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. Let v = r - 2. What is the third derivative of 3*u**4 + v - 1 + u**2 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -70 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 287743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 11705*w - 84 + 173.\nAnswer: 11705*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729532, 1459065, 2188598, 2918131?\nAnswer: 3647664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -5, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 20109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4377*s**2 - 128*s - 67. Does 124 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3091, -3926, -4761?\nAnswer: -5596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5)\/(-10)*3\/(-2)*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 133 and 82.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 3*t**2 - 6*t - 5. Let i be c(-4). Let g = -12 - -16. Solve i*b = -b - o, -g*o - 12 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 12*q - 145 + q**2 + q + 17*q**2. Is c(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/2737735 and -151\/938652.\nAnswer: 32852820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 367742977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*9\/(-12)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6117*l + 545127 = -1520*l + 216*l - 48553 for l.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 5. Let n be i(5). Suppose 4*m - 5*a - 32 = n, 2*m = 3*m + 3*a - 25. Solve -2*w - 12 - m = -5*g, -40 = -5*g + 5*w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -26099608 and -26099609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v - 3*v + 11*v + 38)*(v - 4*v + 4*v) in the form x*v**2 + g + u*v and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7362.121 and 3281?\nAnswer: 10643.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2621 + 2621.0723. Round m to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -9 in decreasing order.\nAnswer: 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 275 - 7509?\nAnswer: -7254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 5*p**2 - 5*p - 8. Let g be j(6). Let k = 0 + g. Which is smaller: k or -5\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/(-22) - 0)*(-16)\/(-8) - -49.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + q**2 - q - 2. Let s(y) = -5*y**3 + 4*y**2 - 3*y - 9. Let u(f) = -3*d(f) - s(f). What is the tens digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 368*z - 656*z + 22*z**2 + 324*z as k + u*z**2 + p*z and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 200059 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -181 - -56 - -69 - (3 - 11 - (-2 + 0))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -260 + 183. Let j = -81 - o. Let a be ((-20)\/8)\/(j\/24). What is the highest common divisor of a and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r. Let t(h) = -h - 5*h + 9*h - 4*h. Give j(t(m)).\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 320\/3*o - 88\/3*o**3 + 32\/3*o**2 + 14\/3*o**4 - 352\/3 + 2\/3*o**5 = 0.\nAnswer: -11, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83629625?\nAnswer: 5, 43, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d. Let t(n) be the first derivative of -17*n**3\/3 + 21*n**2 - 48. Determine k(t(g)).\nAnswer: 17*g**2 - 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83.46 - 83.46. What is the second biggest value in -12, -1\/5, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 499 - 364. Suppose -138*m = -k*m - 2220. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k - 3*p - 3, -5*k + 27 = -3*p. Let x(f) = f + 3. Give x(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 1120.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 = 3*o, -3*u - 2*o = -11 - 4. Solve 0 = -3*g - u*t - 0*t + 12, -5*t = -g - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 100*b**2 + 5*b + 10. Let o(i) = i**2 + i + 2. Let q(y) = -6*h(y) + 30*o(y). Let p(d) = -d. Give p(q(c)).\nAnswer: 570*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (-8 - (-22 + -2)) - -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 504\/864*2\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/781 and -17\/355.\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 2, y: 2, c: 2}. What is prob of picking 1 y, 1 c, 1 d, and 1 r?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15519923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000985 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 53822?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 8*r**2 + 3*r - 5. Let j be g(-8). Let y = -53 - j. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69, 105, 143, 183?\n\"Answer: r**2 + 33*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 19478?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -20*r + 18*r - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 10. Let u(z) = -2*z - 2. Let x(b) = 4*b + 5. Let v(s) = 5*u(s) + 2*x(s). Give f(v(y)).\nAnswer: 2*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 5, h: 4}. Give prob of picking 2 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0016 - 1426990180.4?\nAnswer: -1426990177.3984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 11:20 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17529, 9, -6, 5 in descending order.\nAnswer: 9, 5, -6, -17529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 287068597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-48))\/(8\/(-16)) and ((-1)\/(-6))\/((-2)\/(-202)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*72\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61757627.\nAnswer: 1061, 58207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918324?\nAnswer: 2, 3, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 329096692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 27, 429548 in descending order.\nAnswer: 429548, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i - 250 = 486 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-14)*95\/(-10) and 42*(1 - 13\/9).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j. Suppose 4*s - 2*s + 2 = j. Which is the nearest to s? (a) 1 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**29\/f)*f*f**(-36))\/(f**(29\/4)\/f**21))**35 assuming f is positive.\nAnswer: f**(-6755\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 309308 or 1?\nAnswer: 309308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24488, -24489, -24490, -24491?\nAnswer: -24492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 + 27669*u + 1436084 = 0 for u.\nAnswer: -27617, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 8*x**2. Let s(y) = 17*y**2. What is o(s(b))?\nAnswer: 2312*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 2, m: 3, n: 6, x: 1}. Give prob of sequence ppx.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384)*-2)\/(3*sqrt(16)\/sqrt(2)))**2*-1*-3.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.57689 centuries in months?\nAnswer: 79892.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40068?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 12031231001?\nAnswer: 12031230312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t - 27 = -3*q, 2*q - 22 = -2*t. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 84 + 32)*(-18*i - 26 + 53 - 28).\nAnswer: 288*i + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -55616?\nAnswer: 11123.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118021420 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 35 = 29. Solve m*z - 5 = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -15 - 12 + 7*h**2 + 27 - 7*h - h**3. What is the tens digit of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209)*2)*-2 - 6*5*sqrt(209))\/((-5*-1*sqrt(132))\/(5*sqrt(48))).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31214 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*h - 21*h - 32 - 4*h**2 - 44*h.\nAnswer: -4*(h + 1)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 3. Let r(p) = p**2 + 17*p + 13. Let b be r(k). Let i be b + (-3)\/((-9)\/6). Sort i, -2, -4 in decreasing order.\nAnswer: i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3868\/6)\/(35\/(-15)). Let c = u - -17035\/63. Find the common denominator of 55\/7 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 10. Calculate the lowest common multiple of 8 and r(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255281 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/60 - a**4\/12 + a**2. Let b be j(-2). Solve -5*z + b*z = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*v - 5*r, 8*v - 13*v + r = -220. Suppose -2*g = -5*s + 51, -3*s + 7 - 82 = 2*g. Let u = v + g. What is the highest common factor of u and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338500 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -56.9, 0.4, -0.1, 550.8, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19873)\/187)\/(-7) - 15.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00229932 rounded to five decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 7 = -v + 2*j, 0 = -5*v - 2*j + 35. Suppose -17*y + 20 = -v*y. Put y, -1, -4 in increasing order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112553775?\nAnswer: 3, 5, 500239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + -118557885\nAnswer: -118557885.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106174 - 35623. Suppose -3*u + 2*y + f + 469443 = 0, -2*y = -4*u + 719994. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201410332*d**2 + 352076084*d wrt d.\nAnswer: 402820664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2220 + 204247\/92. Calculate the common denominator of 61\/16 and b.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**3\/3 + 21*o**2\/2 - 46*o - 3819. Give i(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99149 * 0.83\nAnswer: 82293.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 37\/(-39) - 139552\/(-4368)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3915 - 86147\/22. Calculate the common denominator of p and -9\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 131*x**3 + 1 - 336*x**3.\nAnswer: -467*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44213 (base 7) to base 13\nAnswer: 5078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z = 72. Let w = 0 - z. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000993130263 rounded to 6 decimal places?\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 688, 1033, 1378, 1723, 2068?\nAnswer: 2413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 - 99106.3\nAnswer: -99106.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/3, 0.19, -5.\nAnswer: -5, -4\/3, 0.19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4\/3 + 10*k**3\/3 - 8278*k**2\/3 - 12424*k\/3 + 2760 = 0. What is k?\nAnswer: -46, -2, 1\/2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 22. Let q(r) be the first derivative of -d + 1\/6*r**3 - 1\/4*r**2 + 0*r. What is g in q(g) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3189930 and 637986?\nAnswer: 3189930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 5 (b) -102 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-25)\/30) + (-13 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - n + 3*n)*(20 - 2*n**3 - 20)*(-3 - 3 + 4) + (-n + 4*n - 5*n)*(1 - 1 + 2*n**3).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j = -128*j - 80*j - 4016 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 39*r + 15*r - 61*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1568532?\nAnswer: 2, 3, 7, 71, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (249\/150)\/((-40)\/100) and 79\/1246?\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -3, 2, -778?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 1409484?\nAnswer: -21\/469828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 10*l - 10. Suppose -7*f = -17*f + 50. Suppose m + 2*m = -6, -f*z - 4*m = -27. Calculate the remainder when q(7) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s**3 - 17*s**2 + 29*s - 56. Let v(q) = -3*q**3 + 9*q**2 - 13*q + 28. Let x(k) = 4*c(k) + 9*v(k). Let d be x(-13). Let r = 79 + -38. Is r at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1246914486*q. Let p(i) = -i. What is k(p(v))?\nAnswer: 1246914486*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 579689912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22610.6+-3542276\nAnswer: -3564886.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) -1\/277 (c) 2\/19 (d) 43 (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4837\/11 + 440. Sort z, 2\/13, -2\/5 in increasing order.\nAnswer: -2\/5, 2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 14*t + 25*t + 3*t)*(-4*t + 0*t + 3*t) + t**2 - 2*t**2 - t**2 + (1 - 1 + 2*t**2)*(2 - 1 - 3).\nAnswer: -20*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 359, 599, 721, 725, 611, 379, 29?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.5 - 1.5. Let s = -8.1 + 18.9. Let h = s - 9.8. Which is the second smallest value? (a) h (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z + 1. Let l(d) = -1 + 3*d**2 + 8*d + 9 - 2*d**2. Let f be l(-7). Does 11 divide n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3145.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 313*c - 311*c, c - 5 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464218027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-1 - 3) - -9) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 2*i**3\/21 - 2*i**2 + 14*i - 7. Factor f(v).\nAnswer: 2*(v - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-114*x**3 - 74*x**3 + 61*x**3)*(0 + 0 - 1) in the form r*x + v + i*x**3 + y*x**2 and give i.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 18*o**2 - 33*o - 11. Let s be y(-16). Let k(i) = s*i + 0*i + 12*i + 2*i - 2*i. Let q(h) = 19*h. Calculate k(q(m)).\nAnswer: 323*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 8, l: 3}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -116570, -116488, -116406, -116324, -116242, -116160?\n\"Answer: 82*z - 116652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 2*u + 10 = -13*f, -11 = -2*f + 3*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - aa37?\nAnswer: -aa32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p\/((p\/(p\/p**3*p))\/p)*p)))*p**(-8)\/p)\/(p*p**(2\/9))**43)\/((p**(-9)*p*p**(2\/5))\/(p\/(((p**(5\/3)*p)\/p)\/p)*p*p\/p**6)) assuming p is positive.\nAnswer: p**(-2593\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 + -361 - (7 + (-4 + -4 - -9))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -2. Let v = 0.1 - l. Let g be 60\/(-12)*4\/70. What is the nearest to g in 0.5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 102, 285, 542, 873?\nAnswer: 1278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 23*v**4\/12 - 7*v**3\/3 - 20*v - 12. Let f(q) be the first derivative of z(q). Find the second derivative of f(w) wrt w.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 112796\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24305633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4601258239.9939 - -4602197454. Let c = z - 939257. Let a = c - -43. Round a to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 382.956mg?\nAnswer: 0.382956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 0*h - 3 + 0*h**2 + 1\/15*h**3 + 3\/25*h**5 - 1\/30*h**6 - 3\/20*h**4. Suppose x(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.92208ms in microseconds?\nAnswer: 10922.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 0)*1)**2 + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 74*m**2. Let j(b) = -13*b. What is n(j(g))?\nAnswer: 12506*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = t - 5*t - 16, -24 = -3*d - t. What is the remainder when 33 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, i: 3, k: 9}. What is prob of picking 3 i and 1 k?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*k + 81 + 1895. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*t**3 + t + 5*t + 3*t**2 - t - 212*t**3 + 396*t**3 in the form u*t + k*t**2 + v*t**3 + z and give v.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a54 + -6530?\nAnswer: -7184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4689443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25383347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3144, 3151, 3172, 3213, 3280?\n\"Answer: c**3 + c**2 - 3*c + 3145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*y - 3, 0 = -5*h - 2*y + 321. Suppose 5*o + 2*m - 581 = 0, 2*m + h + 58 = o. What is the highest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108366821 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/13 - -33\/26. Suppose -3*k = -6 - 0. Which is bigger: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 3*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/3, -1, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -631100 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55387*q**2*x**2 + 26*q**2*x - x**2 - 2568*x wrt x.\nAnswer: -110774*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f + 10. Let d be i(3). Let a = d + -22. What is the remainder when 35 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -71834 less than or equal to -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 2:21 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -55.5. Let t = a - 173.1. Round t to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 725*v**2 - 41705*v - 688. Calculate m(662).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29.743 - 0.743. Which is the biggest value? (a) -2\/23 (b) -2\/3 (c) 1\/2 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -84. Let s = t + 95. Put 3\/8, -0.1, s, -2\/9 in descending order.\nAnswer: s, 3\/8, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:18 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85181 - 49524. Round i to the nearest 100.\nAnswer: 35700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(325)*6 - (sqrt(325) + (sqrt(325) + 4 + sqrt(325))*-2) - 6*(4 + 5 + sqrt(325) + -4))**2.\nAnswer: -4620*sqrt(13) + 143809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2078727 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.3 (c) -5 (d) 1 (e) -8 (f) -3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6552 and 2394?\nAnswer: 124488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o + 52 + 3*o**2 + 0*o**2 - 1 + 6. List the prime factors of w(13).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 301.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 + 3. Determine t(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (6 - 2) + 4 + -5 - (224 + -169)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/5 + 8*r**2 - 1932*r\/5 - 77616\/5.\nAnswer: (r - 44)*(r + 42)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3167255 is divided by 1652.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4250.\nAnswer: 12750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 86 = 21*w + 18. Put 4, w, 8, 101 in decreasing order.\nAnswer: 101, 8, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmm. What is prob of sequence lmmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*s + 4*p = 75*s + 23, -4*s = p - 14 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + (19 + -11 - 17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-159)\/212)\/(9\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2 + 6. Let b(q) = d + 0 - 7*q - 2. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*g + 2*g - o, -g = 4*o - 22. Find the third derivative of g*d**4 + d**2 + d**4 + d**2 wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -8206 (b) 3\/73 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**7\/21 - 3*u**3\/2 + 11*u**2 + 3*u. Let y(z) be the first derivative of x(z). Differentiate y(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2117695?\nAnswer: 5, 37, 11447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**4 - 2*k**4 + 7*k**4 - 3*k**3)*(-1 - 1 + 0).\nAnswer: -2*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264356 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.7962 + 0.2038. What is the third biggest value in -2, -1\/45, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3736*o + 254042. Calculate c(68).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdd when four letters picked without replacement from ddodooooxodxx.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2357310, -2357309, -2357308, -2357307, -2357306, -2357305?\n\"Answer: i - 2357311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -285, -641, -1139, -1779, -2561?\nAnswer: -3485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 91 - 86 = -10*r, 0*s - 5 = 5*s + 5*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (4 - (2 + 21 - 2)) - 10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 5, g: 3, r: 6}. Give prob of sequence gr.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2 - -9) + -1. Put -5, f, 3, -4 in ascending order.\nAnswer: -5, -4, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*1*((-293454)\/(-1377))\/137?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -73*p - 2. Let b(i) = -17*i**2. Calculate b(a(q)).\nAnswer: -90593*q**2 - 4964*q - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1420, 2851, 4282?\n\"Answer: 1431*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1261472123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 30 = -3*g, -4*g - 6 = -5*i - 46. Suppose 14*f - 2*d - 54 = g*f, 25 = -5*d. What is the highest common factor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = -2*h, -h + 21 = -3*q + 2*h. Let p be (-38)\/(-6) + q\/15. Suppose -x = -p*x + 775. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, -1, -3 in descending order.\nAnswer: 1, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1027 and -5?\nAnswer: -5135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58903 = -67*w + 302917. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4 = 4*y, 5*a + 2987 = 3*y + 3019 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 47. What is i(16)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22121492.\nAnswer: 2, 23, 83, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*w + 25 = 0, -5*a + 6*w + 50 = 3*w. Let l be a\/(-3)*(-14)\/(-49). Put 0.2, -1\/2, l in decreasing order.\nAnswer: 0.2, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 14*u + 46. Let f be o(-7). What is the third biggest value in -2\/15, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 333*v**2 - 168*v**2 - 165*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 10 - 4 - k)*(0*k**3 + 3*k**3 - 2*k**3).\nAnswer: -k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 91+583322.29\nAnswer: 583413.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4008 = 209*f + 830 - 1141 - 3623 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4 + 411*t**3 - 837*t**2 - 411*t + 834 = 0. Calculate t.\nAnswer: -139, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -0.3, 2, 913?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - q = -125, -c + 3*q - 5*q = 36. Suppose 40*b = 51*b + 506. Let m = c - b. Calculate the highest common factor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/294 in -257, -2\/71, -64?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 + 3.7. What is the fourth biggest value in 5, 1\/3, b, 6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 1 x when three letters picked without replacement from {x: 1, n: 1, w: 2, b: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 + 6. Suppose 0 = -0*s - 5*s. Let q be h(s). Suppose 4 = 2*v, 2*r = 3*v - 2*v + 46. What is the greatest common divisor of r and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5251051 (base 6) in base 8?\nAnswer: -763107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**3 + 736*b**2 - 795*b + 72287. Determine l(105).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*i - 9, -3*f - 4*i + 3*i = -13. Let g be (-404)\/(-4)*(-1)\/(-2). Let d = g - 52. Which is the second biggest value? (a) -0.5 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 at least as big as 348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*i = -3*i - 20, -5*q + 5*i + 20 = 0. Suppose 2580000 = 6*k - q*k. What is k rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*(-80)\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11499 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*d + 216, -3*z - 4*d - 372 - 286 = 0. Let f = 228 + z. Solve 5 = q + 3*x - 7*x, -f = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -718 - -718. Let i be (2\/(-5))\/((-8)\/5). What is the closest to y in -0.4, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -49, -74?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 0.03, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 74*v - 9. Let d be g(2). Suppose 0 = -8*c + d + 181. Suppose -c = 2*i - 3*i - 5*m, 0 = 3*i + 5*m - 140. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -926 + 930. Let p = 0.1 - -2.4. Let m = p + 0.5. Put b, -1, -3\/4, m in descending order.\nAnswer: b, m, -3\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = c - f, -5*f + 9 = 2*c + 78. Let v = c - -77. Calculate the greatest common divisor of 25 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -2*j, 5*j - 15 = u + j. Let r be (-12)\/1 - -2 - u. Let h(l) = -l + 12. List the prime factors of h(r).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149817 by 3.\nAnswer: -49939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4861 (base 10) in base 16?\nAnswer: 12fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2096309 minus -111?\nAnswer: -2096198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 198*r**2 + 34*r + 21. Let a(q) = 2*q**2 - 55*q - 140. Let o be a(30). Is u(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(3\/6*-2). Solve y = -g + f + 4, 5*g + 2*f - 4*f - 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 2, f: 4, i: 1}. Give prob of picking 2 x, 1 f, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*q + 242*q + 36432 = 0 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0 - 22 = 0. Let t(q) = -q**3 + 11*q**2 + 8*q + 14. Let g be t(h). Suppose 2 - g = -5*w. Solve 5*f + w = 3*x, -4*x + f = -0*f - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let g(i) = -4 - 5 + 9 + 14*i**2. Give v(g(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 741*z - 1497*z - 7*z**3 + 230*z**3 + 756*z.\nAnswer: 223*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 22\/9, -566, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -27 - 45. Is 1048 + (-2 - c)*(8 + -9) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.199 less than -35.85?\nAnswer: -35.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40252 is divided by 347.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 127*b**7\/210 + 175*b**3\/6 - 124*b**2. Differentiate l(x) wrt x.\nAnswer: 508*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 33008456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -0.1. Which is the second biggest value? (a) z (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 45*q**2 - 22*q + 3. Let z be v(22). Put -1, -33, z, 5 in decreasing order.\nAnswer: 5, z, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 12*t**4 - 228*t**3 + 1191*t**2 - 1026*t + 243 = 0.\nAnswer: 1\/2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/8, 27, -13, -33\/10, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1572 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*c + 16. Suppose -c*u + 33 = -16*u. Suppose 3*t - 4 - u = 0. Solve -t*s = -0*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/18)\/(2 + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + -109 + (2 - 3) + -2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/9, 0.6, -2\/3, 3\/2, -15?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 303 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 125*s**2 + 10 + 324*s**2 + 80668*s - 80668*s to the form o + k*s**2 + m*s and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 15) in base 9?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05123064 rounded to five dps?\nAnswer: 0.05123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174.9 - -174.8. What is the biggest value in -0.3, 2\/3, b, -4\/7, 2\/11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/26)*i)**(-25) assuming i is positive.\nAnswer: i**(-1375\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*q**2 + 41 - 1 - 42*q**2 + 73*q**2 - 39 in the form i + w*q**2 + t*q and give w.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3757, 7345, 10785, 14071, 17197?\nAnswer: 20157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 + 0.06. Suppose 0 = 2*m + m - 6. Suppose 4*c + 15 = 3*h, c + 5 = m*h - h. What is the third smallest value in 0.2, c, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(1440))\/(2*sqrt(30)\/sqrt(6)*4)*-1*1*-6.\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 523786508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)\/n)**3)**(-2\/75))**(-38) assuming n is positive.\nAnswer: n**(-152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3 - 4518922*u**2 - 2552579745798*u + 2552584264722 = 0. Calculate u.\nAnswer: -1129731, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 8, -309, 4, 7 in increasing order.\nAnswer: -309, -17, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -169 - d?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o - 146*o + 1259 - 92 + 85*o.\nAnswer: -2*o + 1167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 + 5*p - 28. What is f(-4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(0 + 2)*(-159 + 9). Let m be 2 - q\/(-35) - 4\/14. Solve -o = -5*s + 7, 0*o - 2*s + m = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10718 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 142790.\nAnswer: 2, 5, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17 + 469 + (-5)\/1?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -m + 48, -16 = 23*a - 19*a. Let n(q) = -2*q**2 + 61*q + 96. What is n(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41494887 is divided by 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 607\/3 - 1199\/6. Let 1\/2*k**2 + k**5 + 0 + 0*k + 2*k**3 + a*k**4 = 0. Calculate k.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - -231916?\nAnswer: 2318a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(-1\/3)\/o))\/o**(-5))\/(o**0\/o**(-3)))**(1\/21) assuming o is positive.\nAnswer: o**(13\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 33*f**2 + 376*f**2 - 67*f + 162*f**2 - 3*f**3 + 318*f**2 wrt f.\nAnswer: -18*f + 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**3 + 23*q**3 + 3*q**3 - 31*q**2 wrt q.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Suppose 2*y = -y + 9. Suppose -29 + 26 = -a. Let u(j) = -a + y + 2*j - j. Calculate u(l(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 7:09 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 230, 318, 406, 494, 582, 670?\n\"Answer: 88*s + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118166*x**2 + 3*x - 155571 wrt x.\nAnswer: 236332*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) -46 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-17 + 8)) + (-4 - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20105*q**3 - 39*q**2 - q + 3649 wrt q?\nAnswer: 120630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -42. Let j(q) = -9*q - 3. Let m(s) = 9*s + 4. Let b(w) = -5*j(w) - 4*m(w). Let c be b(1). What is the highest common factor of c and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -910 - -4210. What is w rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggpgggggggc. What is prob of sequence gg?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*-1*(sqrt(112) + 1))**2.\nAnswer: -565 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*u**3 - 3*u**2 + 37*u?\nAnswer: 426*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 3. Let q(t) = -10*t - 15. Let p(l) = 34*l + 44. Let s(a) = 2*p(a) + 7*q(a). Let x(h) = h + 9. Determine j*x(i) - 6*s(i).\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -398*j. Let c(t) = 400*t. Give 3*c(r) + 2*k(r).\nAnswer: 404*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 12 = b - 5*b, 4*u - 15 = -5*b. Let m(a) = -a - 4. Let q be m(-9). Let o = q + 2. Solve 0 = b*z - o*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**17)**(-12)\/(h**(-13\/4)*h**30) assuming h is positive.\nAnswer: h**(-923\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 571583*u - 282673 with respect to u.\nAnswer: 571583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 779850380 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 678\/30 + (-2)\/(-5). Suppose 5*c + 3 = r. Suppose -c*d + 3*w + 121 = 0, -79 - 9 = -3*d + 5*w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12533*i + 220. Let t(f) = -549760045*f - 9650410. Let x(r) = 87731*b(r) + 2*t(r). Let o(a) = -2*a. Give o(x(l)).\nAnswer: -25066*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s**5\/9 - 596*s**4\/9 + 266*s**3 + 8728*s**2\/9 + 7960*s\/9 + 736\/3 = 0. What is s?\nAnswer: -46, -1, -4\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1 + 29*i**2 - 22376*i - 3*i**2 - 1 + 22373*i + i**2. Let s(h) = 54*h**2 - 7*h - 5. Give -2*s(t) + 5*u(t).\nAnswer: 27*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/9)\/(5\/120). Let z = c + -31\/6. Sort 0.5, z, 3 in decreasing order.\nAnswer: 3, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**5 - 30585*d**4 + 6*d**3 - 154200140*d**2?\nAnswer: 360*d**2 - 734040*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9) + 1\/(-3). Let u(g) = 1. Let y(s) = s**3 + 5. Let p(c) = m*y(c) - 4*u(c). What is the derivative of p(l) wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243 and 9?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -56501 (base 8) to base 5\nAnswer: -1230443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = n - 4*n + 25, n = -5*g + 35. Suppose -2*u + 654 = 656. Let p = 0.05 + -0.05. What is the nearest to u in 2\/23, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-95)*(-555)\/(-148)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59756, 238933, 537514, 955493, 1492864?\nAnswer: 2149621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338\/(-48) - (6 - -1)\/(23\/(-138)*6).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 12. Suppose 2*s - d*c + 3065015 = -3*s, 3*s + 1838975 = -5*c. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -122, 125, 478, 937, 1502?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 36.73. Let j = -13.47 + i. Let s = j + 13.19919. Round s to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*s + 99*s = 2112 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -55*h - 9*h**2 + 0 + 49*h + 5 - 4. Let x(s) = 2*s**2 - s. Let v(d) = -c(d) - 4*x(d). Give v(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 1331119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 209 = 4*q. What is the greatest common factor of 561 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.033 in 0.1, 4, -0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 29 + 1)*((-9*c**2 + 9*c**2 - 2*c**4)*(c + 2*c - 4*c) - c**5 + 0*c**5 + 0*c**5).\nAnswer: -19*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2322060 at most as big as 2322059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 19*t - 1107. Let x = t - 123. Solve -2*r - r - 6 = x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-9)*3 - 2. Let h be (-2 - -1)*(v - 17). Let c = -10 + h. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssas when four letters picked without replacement from {s: 11, a: 2}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -3*y**6\/40 + y**5\/4 - 7*y**4\/24 + y**3\/6 - 7*y**2. Factor n(z).\nAnswer: -(z - 1)*(3*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**3 + 2*a**2 - 19*a - 20 = 0.\nAnswer: -5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319820 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**3 - q**2 + 2*q - 1. Does 10 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 2381730.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 24*m.\nAnswer: 4*m*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -386 - 3613?\nAnswer: -3999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*sqrt(475) - sqrt(475)).\nAnswer: 1 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 9 = 21. Let i be (24\/(-16)*t)\/(3\/2). Solve 0 = 7*v - i + 26 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = 33*j - 50. Let n = -1\/194 - -397\/1746. What is the fourth biggest value in j, -2, n, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3093155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/54369 and -29\/604100.\nAnswer: 5436900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -38*o. Let k(j) = 25352*j - 6. Give h(k(y)).\nAnswer: -963376*y + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 50*c + 62. List the prime factors of x(51).\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1695040710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7*s + 324 = 0. Let d(t) = -t**3 - 4*t**2 - 2*t + 15. Let y be d(-5). Let q = s - y. Solve -3*b + r = 17, -6*b - q = -2*b - 3*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4357979 to the nearest 10000.\nAnswer: -4360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -492679 - -689958. Round u to the nearest one thousand.\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 2:57 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.23 + 2.67. Let n = -4.137 + 0.137. What is the second smallest value in g, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-25))\/((-2)\/(-35)). Suppose -j = -2*f + 93. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1378*k - 114. What are the prime factors of b(-2)?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6)\/(-3) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 - 7*b**2 + 2*b - 33. List the prime factors of k(-13).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h = 126*h + 99*h - 5805711. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 9 = 3*y. Let w(v) = -v + y*v + 2*v**2 - 2*v. Let u(q) be the second derivative of -q**4\/12 - q. Give u(w(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -0.6, 2761.\nAnswer: -1, -0.6, 3, 2761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 845\nAnswer: 54\/845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/319 or -1.4?\nAnswer: 4\/319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7031133982 to the nearest integer?\nAnswer: 83852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85.9 - -11.1. Let h = o + -97.2. Let b = -103 - -99. What is the biggest value in b, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8677332 and 5784888.\nAnswer: 17354664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 23508 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/16883 + 33744\/185713. What is the biggest value in 5, -0.3, -2\/3, 11\/4, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) + 0) + (sqrt(98) - 2*sqrt(98)) + sqrt(2) + 2 - 2*(-5 + sqrt(200)*-2))**2.\nAnswer: 864*sqrt(2) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**7\/360 - k**5\/12 + k**4\/2 + 3*k. Let n(b) be the third derivative of w(b). What is the first derivative of n(p) wrt p?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 104*d**2 + 100*d.\nAnswer: 4*d*(d + 1)*(d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4527 is divided by 1762.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2818 or -3546?\nAnswer: -3546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14505 - 14622 = -3*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10.19 + 0.19. Let o = -9.75 - a. Let r = o + -0.24999895. What is r rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*(-16)\/(-3). Let h be n\/6 + (-20)\/(-15). Let t be 3\/6*(5 - -5). Sort t, h, 1, -5 in decreasing order.\nAnswer: t, 1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -301796838.\nAnswer: 5\/301796838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21042689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2*45)\/10)\/((-12)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 62.72636t?\nAnswer: 62726360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7274526 and 34489?\nAnswer: 94568838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*o**2 + 4 + 50*o**2 - 4 - 29*o**2 + 7*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 0 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -4, -0.3 in decreasing order.\nAnswer: 45, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 141*o - 143*o + 2, 12 = -2*o + 10*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 12 + 9)*(-2*n + 0*n + 5*n) - 9*n - 5*n - 29*n + 2*n - 2*n + n + (-3 + 6 - 1)*(0 - n + 0).\nAnswer: 79*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -25*u**2 + 4375*u - 21268. Calculate n(170).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -47*v**2 + 84*v - 36. Determine p(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssmksmkmsksk. Give prob of picking 1 s and 1 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -ac776 (base 13) to base 16\nAnswer: -4c7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (71 - 31 - 19 + 64)*(-50*y**2 - 46*y**2 + 104*y**2) as u + r*y**2 + n*y and give r.\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 29*d**2 + 5*d + 27. Let g be s(-22). Suppose -8496 = -7*h + g. Suppose -h = -3*v - v - m, -4*v + 2224 = -4*m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.512 + -4.422. Let f = 0.09 - k. Which is the fourth smallest value? (a) f (b) 2 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118103347.\nAnswer: 569, 207563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -226, -352, -478, -604, -730?\nAnswer: -856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553059373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 19*n - 30*n + 18*n - 112*n**2 - 34*n**2 to t + z*n**2 + b*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 + 15*u**2 + 28*u - 42. Let q(r) = -35*r**3 + 105*r**2 + 195*r - 295. Let w(s) = 2*q(s) - 15*x(s). Factor w(t).\nAnswer: 5*(t - 4)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2940.559 years to months.\nAnswer: 35286.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(1872) + (-2*sqrt(1300) - sqrt(13))).\nAnswer: -27*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16409 - -82298\/5. Let k = y - 51. Is k greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/9745 + 770173\/1032970. Calculate the common denominator of k and 0 + (-273)\/48*1.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**4 - 15139*z**3 + 15648*z**2 + 1 wrt z.\nAnswer: 24*z - 90834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r + 226167 - 244853 = -774439. List the prime factors of r.\nAnswer: 18433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 11*h - 3. Determine u(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74 + 4.43784577\nAnswer: -69.56215423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:05 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 61*g + 665. Determine p(-16).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 + 2448*b**3 + 31148*b**2 = 0.\nAnswer: -599, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3289 and 1354309.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 909449 to the power of 1\/2, to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l - 2 = 0. Let u = 0.3 + 0.7. Let s = -20.4902 - -20.7902. Which is the second smallest value? (a) l (b) s (c) 4\/3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 7*r + 9*r + 14*r + 13*r. Let m(f) = -24*f**2. Give i(m(d)).\nAnswer: -744*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from ndnuddnnunnun?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Suppose -2*r = z*u + r - 24, -4*r + 22 = 2*u. What is the remainder when 8 - 40\/(-1) - 5 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*q - 387 + 3449, -5*q + 10 = 0. Let p = l - -793. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 553.7 and -6509.\nAnswer: -5955.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73186 and 138.\nAnswer: 219558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 64*h. Let s(u) = 8422*u - 256. Calculate s(g(r)).\nAnswer: 539008*r - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*d + 6 = 0. Suppose -9*q = -11*q + d. Solve q*l + 4*p - 3 + 2 = 0, 5 = 3*l + 5*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 352 = 113*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3080353608072\nAnswer: 3080353608077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74896*r**2 + 74130 wrt r?\nAnswer: -149792*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47552343569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) - ((-3588)\/240)\/(-23). What is the nearest to -1 in z, -1, -0.06, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 10:07 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 13113408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4378067117?\nAnswer: 11939, 366703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 576818803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 4 + 2*3 + -1. Suppose -3 + 3 = j*l. Solve l = 4*v - v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-30)\/(-4))*4. Let j be (-12)\/(-72) + 266\/(-12). Let n = j + 77. Calculate the highest common divisor of h and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -303 + 438. Let w(f) = f**3 + 7*f**2 + 2*f - 1. What is the remainder when r is divided by w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l - 2*u + 87 - 321 = 2*l, 5*u - 12 = 3 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 912 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*(38\/8 + -3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 - 205\/3. Let m = -0.05 + -1.95. Which is the smallest value? (a) 1 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(275))**2 + 5 - (2 + sqrt(891))) + 3.\nAnswer: -9*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - b + 144 - 29, -5*j - 2*b + 569 = 0. Suppose -f = -9 + j. Is f\/(-10) - 12\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193361?\nAnswer: 3, 13, 37, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 8. Let q = a + 3. What is the closest to 2\/7 in 1\/7, 2, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 137 = 2*g - 51, -71 = -4*z - 3*g. Let -50*x**3 + 18*x**3 + 80*x + z*x**3 + 32*x**2 + 64 + 16*x**3 = 0. What is x?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r - 1. Let y be n(1). Let j = -62 + 42. Let v = y - j. Calculate the least common multiple of v and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148.081 + 148. Let t = 0.219 - s. Which is the nearest to 1\/3? (a) t (b) 0.5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5445, 5446, 5447, 5448, 5449?\n\"Answer: v + 5444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (180\/792)\/(10\/8). Which is the nearest to 4? (a) t (b) -0.6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 7\/3, -2.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 4*m - 4. Let p be b(2). Suppose 0 = -2*y, p = 3*x + x - y + 28. Are x and -25\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**2 + 912*r + 1832 = 0.\nAnswer: -2, 458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - 99. Suppose -d*y - g = 27, 2*y + 2*y - 3*g = -15. Does 11 divide ((-33)\/44)\/(y\/(-716))*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 63*o**2\/2 - 5*o + 6534. Calculate u(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((255\/68)\/(3 + 0))\/((-2)\/8). Sort 2, -85, -4, u, -6 in decreasing order.\nAnswer: 2, -4, u, -6, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1994528, 4, 0 in descending order.\nAnswer: 1994528, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 364?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n**2 + 9*n + 6. Let k(p) = -17*p**2 + 3*p + 5. Give -4*d(c) + 5*k(c).\nAnswer: -25*c**2 - 21*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1514351*l**4 + 8*l**2 - 21376*l?\nAnswer: -36344424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 18 = 2518*g - 2521*g, -5*f + 6 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h + 182 = -2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11697465 at least as big as -11697482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 - 25*s**2 + 11*s**2 + 5*s**2 + 6*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15050\/175 - 91) + -6*-1*8?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11571086, -23142192, -34713318, -46284464?\nAnswer: -57855630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5217*k = 5216*k - 5, 0*n + 6*k = -0*n + 2*n - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-42)*l**(-2\/5)\/l assuming l is positive.\nAnswer: l**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13788 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + g = 5*c + 36, 0 = 3*c - 5*g + 32 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 - 2*q**2 - 4*q - 21. Let b(k) = k**3 + k**2 + k + 1. What is -2*b(s) - d(s)?\nAnswer: s**3 + 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10111000111011110 (base 2) to base 8\nAnswer: 270736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455770?\nAnswer: 2, 5, 11, 40507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346327029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 6 = 6*x. Let r = 16 + x. Solve q + 4*q = -3*p - 10, r = -3*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4. Let x(r) = 275 - 94 - 78 + r - 94. Calculate -5*g(w) + 2*x(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -21*q**2 + q - 1. Let w be d(1). Let o = w - -7. Is 330\/21 - 4\/o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -14. Let t = v + -48. What is the remainder when 14 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:39 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143*d**4 + 5701*d - 2206160 wrt d?\nAnswer: -572*d**3 + 5701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(6*l**2 - 2*l**2 - 3*l**2 + (-2*l - 2 + 2)*(1 - 1 - 2*l) - 26*l + 26*l - 273*l**2).\nAnswer: 268*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*10*72\/180\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -641 + 806. What is the remainder when k is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + j + 15, -3*s + 4*j - 5 = -0*j. Suppose -s*l + 6 + 4 = 0. Solve -5*f = 10, l*x = -2*x - 2*f - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 - -156. Suppose 289 = 4*f + a. What is the common denominator of -13\/2 and 2\/3 - 566\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/34, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/1641 and -43\/9?\nAnswer: 4923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 9:25 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 - (52 - (83 + -15) - (0 - 19)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 b when four letters picked without replacement from {b: 8, m: 2, u: 4, p: 1}.\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32*v + 32*v + 106 - 88 wrt v?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/171366 and -34\/9?\nAnswer: 514098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m**8*m))**(-18)\/((m\/(m\/(m*(m\/m**3)\/m*m)))**(-34))**(2\/89) assuming m is positive.\nAnswer: m**(1534\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpnpnnnznfnppnnnf. Give prob of sequence zjp.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x. Let q(a) = -2*a + 6. Let y = 12 + -8. Let v be q(y). What is the remainder when 39 is divided by k(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 - 8*k**2 + 27*k - 23. Is 39 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.1 (c) -2\/121 (d) 7 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (-7 + 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/969 and -163\/488376?\nAnswer: 488376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.401350798 rounded to 2 decimal places?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {b: 3, t: 1, p: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0285176 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 121*o + 1511. Let u be v(71). Solve 0 = 2*p - u*p - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1732915868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 15, -19*r + 5*y = -17*r - 351. What is the highest common divisor of r and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 13*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 1\/1*1. Let m be -2*(1 + 2 + -2). Sort 3, b, m.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - 5*d + 5. What is the hundreds digit of j(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x. Let i be r(0). Let m = 2 - i. Find the first derivative of -6 - m*j + 2 + 3 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 + 2*s + 2. Let f = -5 - 1. Let q(i) be the first derivative of i**3\/3 - i**2\/2 - i - 2. Calculate f*l(h) - 10*q(h).\nAnswer: 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 v when three letters picked without replacement from {d: 4, l: 3, b: 1, i: 5, g: 4, v: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*o - 23, -5*o + 15 = 40*x - 45*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8140 divided by 5\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 2 (c) -2 (d) 587\/6 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 1, -4, 44306, 29 in decreasing order.\nAnswer: 44306, 29, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(98) + 1)**2.\nAnswer: 84*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + i + 4*i + (-4*i + 3*i + 2*i)*(1 + 2 - 2) + (-66 + 71 - 176)*(12 - 12 + 5*i) to v*i + b and give v.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -664 divided by 5?\nAnswer: -664\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/2 - l**2\/2 + 25*l - 14. Let k(r) be the first derivative of a(r). Let j(c) = -c + 1. Determine -j(v) - k(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, s: 2, t: 2, l: 2, j: 1, d: 4}. What is prob of sequence dq?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383124 is divided by 313?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. Let w be 32\/24*(6 - s). What is the units digit of 138\/w + (-9)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 15) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -4.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 9b?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*n + n**2 - 2*n**3 - 215*n + 1139*n**4 - 2026 + 474*n wrt n?\nAnswer: 13668*n**2 - 12*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + 2*g**2 + 2. Let k be v(-2). Suppose -84 = -3*y - k. Let c be 70\/(-6)*3\/(-1). What is the greatest common factor of c and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3*1)\/((-12)\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 121325 = 1172739 + 378932. List the prime factors of g.\nAnswer: 2, 32173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237919 and 4257.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 5. Suppose -p = -3*r + 24, 4*r - 2*p - 45 = -5*p. Let s be b(r). Suppose -5*f - 3*c - 29 = -233, -s*c - 50 = -f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250 = -10*j + 4810. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g + 197*r - 202*r, -4*g - 4*r + 16 = 0. Solve -5*l = 50 - 45, 0 = -5*z - g*l + 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 54*u + 2. Is 11 a factor of c(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 1)*5\/(3 - 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 31 = 99. Let i(g) = 37*g. Let c be i(-1). Let l = d - c. 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 the closest to 0 in 29432, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46970, -47002, -47038, -47078, -47122?\nAnswer: -47170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27972126 to the nearest 100000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*z - 483 + 434 + 4201 = -4040 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 41 in 2, -5\/2, -1.3, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325039463 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1235, 1233, 1255, 1313, 1419, 1585, 1823?\n\"Answer: 2*q**3 - 16*q + 1249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 47 - (-1 + 1)*1. Let o = 2734 - 2779. Let m = h + o. Solve x + 2 = m*i + i, 4*i = -x + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + f - 16*f + 2750 = 0. Calculate the greatest common divisor of f and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 21. Let y(t) = -t + 1. Let i(c) = -2*c**2 - 22*c + 361. Let b be i(-20). What is b*n(u) + 3*y(u)?\nAnswer: -u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -3 + (-2 - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110683 by -49.\nAnswer: 22667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 260982326841 + 260982326841.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 2 - 2 + (-2 - 2*q**4 + 2)*(0*q - q + 3*q) + (-q**3 - 6*q**3 + 2*q**3)*(10*q**2 - 10*q - 101*q**2 + 11*q).\nAnswer: 452*q**5 - 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:06 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.134? (a) -1\/4 (b) 0.002 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4 - 17. Let p be -3 - b\/((-28)\/(-180)). Suppose 3*h = 2*w - p, 4*w - h + 5*h = 84. 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 255 minutes before 11:47 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/3))\/(u**(2\/17)\/u)*((u\/u**(1\/4))\/u)**(-26))**(-6\/19) assuming u is positive.\nAnswer: u**(-923\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by -9.\nAnswer: 25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*k**2*n**2*s**2 - 79*k**2*s - 3*k*s**2 + k + 2*n**2*s**2 - 2*n*s wrt n.\nAnswer: -1038*k**2*s**2 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6602170098 to the nearest one hundred thousand.\nAnswer: 6602200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1649, -1651, -1655, -1661, -1669, -1679, -1691?\n\"Answer: -y**2 + y - 1649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -121599472 bigger than -121599478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 175*h**2 + 330*h + 12600.\nAnswer: 5*(h - 30)*(h - 12)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + 13798?\nAnswer: 137b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -69\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 4. Let o be u(-6). Let k be 16\/10 - 4\/o. Let j = -18429 - -18429.3. Which is the closest to -0.1? (a) j (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -235.066\nAnswer: -28.20792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 6. Let i be f(6). Let d = i + -6. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18876 = -4*n + 4*x + 104, 5*x + 4749 = n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113123 (base 4) to base 9.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-834)\/(-21) - (-10)\/35. Let q = 46 - u. Is 19 a factor of (-95)\/(-2)*q\/(-12)*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = j + 29045, 4*j = -3*c - 926 + 29976. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(52)\/sqrt(4) - (sqrt(13) - (sqrt(39) - (sqrt(39) - (sqrt(39) + sqrt(156)\/sqrt(4))))\/sqrt(3)).\nAnswer: 1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28800885.\nAnswer: 3, 5, 823, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {r: 2, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 70. Let w(f) = 34150*f. Calculate s(w(t)).\nAnswer: -1166222500*t**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-996)\/(-1494) - (-143419)\/3.\nAnswer: 47807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -370, -415, -492, -613, -790, -1035, -1360, -1777?\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 divided by -97.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.297 times 5510?\nAnswer: 95306.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4877640823*h + 4877640823*h + 19*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 k, and 1 i when four letters picked without replacement from limhfimhk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -245.94, -1\/9 in descending order.\nAnswer: 161, -1\/9, -245.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -21363*r + 10. Give z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/53352 and -17\/1368.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000314 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 145\/232*(-6)\/(-15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 2*x**2)*(-x + 21*x + 20*x).\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 + w + 8. Let m be j(-8). Suppose -2*d - 4 + 10 = m. Suppose -d*s - 3 = 12. Let c(f) = -f**2 - 5*f - 4. Determine c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 29*l**2 - 57*l + 1. Give g(4).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 12) in base 7?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1199 - 1)\/(35\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -1\/4*o**4 + 3*o - 4*o**2 + 0 + 0*o**3. Let f(p) = -p**2. Calculate a(f(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1130275*q**2 - 1130275*q**2 + 2 - q**3.\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 118723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 + 405*n**2 + 38*n - 6396. Calculate k(-101).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/((-1 - -12)\/(-22)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z + 228. What is h(-24)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17648920 and 23560.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m + 1. Let d(k) = k - 499. What is d(z(n))?\nAnswer: -14*n - 498","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/126 and -29\/7776.\nAnswer: 54432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532678994.\nAnswer: 2, 23, 55058239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u - 1. Let y(j) = -j**3 + 6*j**2 - 5*j - 2. Let f be y(5). Let v(g) = 3*g. Calculate f*i(b) + 5*v(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177558792*n + 1 + 3 - 7*n**3 - 177558792*n - 4.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b, -45 = -x + 42*b - 47*b. Let n(l) = l**2 - 6*l. Let d be n(8). Let c be (-79)\/(-11) + d\/(-88). Solve -x = -2*h + c*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -8, -4, 0, 4, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s + 6. Let l(a) = a**3 + 25*a**2 - 21*a + 2. Let p be l(-26). Let o = 134 + p. Determine q(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*m*r**2*u**3 + m*r**2*u**2 - m*r**2*u - 6*m*u**3 - 122*m*u wrt u?\nAnswer: -66*m*r**2 - 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 176, 348, 516, 680, 840?\n\"Answer: -2*b**2 + 178*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17312016 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: Collect the terms in -c**3 + 5*c**3 - 6*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/8 (b) -102 (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x**2 - x. Let l = 80 + -74. Let w(v) = 5*v**2 - 2*v. Let b(h) = l*g(h) - 5*w(h). Factor b(o).\nAnswer: -o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -134. What are the prime factors of (21\/l)\/((-1)\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 2051.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.94 + -43.44. Let h = 7.18 - 7. Let t = -0.18 + h. Which is the second biggest value? (a) x (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4211*k**3*n + 12597*k**3 + n**2 wrt n?\nAnswer: -4211*k**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 10*u - 5*y, 1 = -0*u - 4*u + 45*y - 44*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Suppose -2*j - x*s + 395 = 0, 3*j + j = s + 755. Suppose -j = -5*u + 110. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - -2.4. Let q = -4 + u. What is the smallest value in q, 0.4, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9931\/60 + -828\/5. Let i = 1.5 - 1. What is the third biggest value in i, v, 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 8 - 7*f - 21 + (0 + 0 + 1)*(-4 + 2*f + 4) to p*f + h and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 609*g**2\/4 + 4929*g\/4 + 4319\/4.\nAnswer: -(g - 617)*(g + 1)*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29253, 29286, 29323, 29364?\nAnswer: 29409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23902.06 and 0.2?\nAnswer: -4780.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 65804130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 797 + 388 = 84*f + 93 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 42*u**2. Let y(v) = -51*v**2 - 4*v + 4. Let h(x) = -3220*x**2 - 253*x + 253. Let c(k) = 4*h(k) - 253*y(k). What is c(m(j))?\nAnswer: 40572*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, 0.1, -129, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4810 divided by 5\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 - x. Let z be b(-4). What is the third derivative of 0*g**2 + 3*g**6 - 13*g**z + g**2 + 13*g**4 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) -1956\/149 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14984, 14986, 14988?\n\"Answer: 2*z + 14982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 12*d**4 - 3*d**3 + 12*d**2. Let o(c) = -25*c**4 + 5*c**3 - 23*c**2. Let l(y) = 3*o(y) + 5*w(y). What is the third derivative of l(s) wrt s?\nAnswer: -360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -305320 (base 8) to base 9\nAnswer: -163572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - -99. Let z = -50 + n. What is the lowest common multiple of 30 and z?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -61, -58 in ascending order.\nAnswer: -61, -58, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2837452 is divided by 95?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*-9*4\/(-8). What is the highest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133868, -267744, -401620, -535496, -669372, -803248?\n\"Answer: -133876*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/336 + (8 - (-4400)\/(-504)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5624 in -1\/4, 1, -1, -9, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - d + 3 = 4*y, 3 = -4*y - 5*d. Suppose h - y*m - 42 = 0, 2*h = -m + 30 + 40. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*t - 22, -2*v + 3*v + 4*t + 18 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -12, -34, -72, -132?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microsecond in nanoseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 - 482. Let q(n) = 4*n**2 + n. Determine 2*l(f) - q(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 19*z + 5. Let g be m(9). Suppose -5*n = -3 - 7. Put g, n, 3 in ascending order.\nAnswer: g, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1298796 and -34?\nAnswer: 44159064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 44. Let p = -1 + l. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (0 - 10 - 0 - (-203 + 199))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/168 and (159\/(-9) + -2)*2\/42?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**3 - 15 - 7 + 24.\nAnswer: -10*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -35. Suppose -5*h + 40 - 5 = 5*c, 3*h - 3 = f*c. Suppose h*i - 21 = -5*d, i + 0*i + 16 = 3*d. Solve -2*k + d = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - d = -3, 1920*h + 5*d = 1919*h - 27 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 2*w**2 - 1\/30*w**5 + 0*w + 0*w**3 + 0*w**4 - 15. Let h(v) = -v. Give o(h(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 3*c = -13*j - 50748, -j + 16912 = 2*c. List the prime factors of j.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*o - 11*o + 709*o**2 - 711*o**2)*(52*o**2 + 147*o**2 - 48*o**2 - 50*o**2 + 108*o**2) in the form a*o + w*o**4 + y*o**3 + x*o**2 + q and give y.\nAnswer: -6270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l. Let h(t) be the first derivative of t**5\/15 - t**3\/3 + 12. Let q(n) be the third derivative of h(n). Give q(b(j)).\nAnswer: -32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3932 + -852. Suppose -2*s = -c + 769, 0*c + 4*s = 4*c - v. What are the prime factors of c?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/6*3\/(-3)*1140\/60?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*r**2 - 2*r + 69*r**2 + 2*r - 37*r**2 + 47 to the form m*r + a*r**2 + v and give v.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12417 + 12416.9999938788. What is t rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.19, 105, -0.5, -6\/5?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxhwsxxxt?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + s)*(s - 26*s - 2*s).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16360 and -2.\nAnswer: 16358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.9 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23415)\/(-20070))\/(3080\/288).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 15. Let w be x(-20). Let n(k) be the first derivative of -1\/15*k**w + 0*k**3 + 1 + 0*k**2 - 1\/12*k**4 + 0*k. Factor n(c).\nAnswer: -c**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of g**6\/180 + 10*g**3\/3 + 16. Let d(b) be the third derivative of r(b). Let u(j) = 9*j**2. Give u(d(o)).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55044198 divided by 63342\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 12. Let c be i(-13). Let z = c + 27. Let p(g) = 4*g**3 + 2*g**2 - g. Let y be p(1). Solve -y = z*m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-62)\/(4\/(-2)) + -26 + 94 + -61. Solve -7*t + 2*t = -3*u - d, 4*u = -5*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/2 of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -2\/7 (c) -1\/2 (d) 1 (e) -18\/19 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 8. Let y = -24 + 14. List the prime factors of b(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 - 581566\nAnswer: -581563.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/12)\/((-2)\/6))\/(7781\/(-2008))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1907*d + 94. What are the prime factors of q(-5)?\nAnswer: 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2878886819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0428 and 0.1.\nAnswer: -0.00428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159569 = 110*k - 3939829. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 - 36\/(-15). Let m = -4 + q. Let u(d) = 4*d + 2. Let k(o) = -13*o - 7. Determine m*k(r) - 7*u(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 344.3971.\nAnswer: 344.3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 242*k - 3. Let p(x) = 10*x**2 + 2905*x + 35. Let o(c) = 3*p(c) + 35*w(c). Factor o(r).\nAnswer: -5*r*(r - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4\/7 + 276*y**3\/7 - 6876*y**2\/7 + 24288*y\/7 - 23232\/7.\nAnswer: -3*(y - 44)**2*(y - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-35))\/(((-360)\/(-32))\/((-126)\/12))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2231761 - -2231761.05299958. Let x = 0.053 - z. What is x rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-11)*(-33)\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 2768, 9718, 23256, 45578, 78880?\nAnswer: 125358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:03 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -11875\nAnswer: -23750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 112 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 8*h - 13*h - 370, -2*z + 3*h + 245 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1610*b - 67621. What is p(42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**5\/l)\/(l*l**(1\/7)))**(-2\/73))**(-1\/57) assuming l is positive.\nAnswer: l**(18\/9709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -80. Let o = -36 + p. Are -8\/13 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 4:47 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3)\/t)\/t)**(4\/23)\/(t**0)**(2\/7))**(14\/5) assuming t is positive.\nAnswer: t**(-392\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722?\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198040, -0.11, -4\/3 in descending order.\nAnswer: 198040, -0.11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47\/124 + -4\/31. Which is the nearest to 2\/5? (a) q (b) -2 (c) -5 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 6288*j**2 + j - 101887.\nAnswer: 6*j**2 + 12576*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245 (base 6) to base 14.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.248 + -0.13. What is p rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from ukukkkkkkukut.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 567 - 567.06. Which is the nearest to -1\/3? (a) v (b) 1\/5 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1844461 and 922.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12284, 5, -3, -4, -22 in descending order.\nAnswer: 5, -3, -4, -22, -12284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 889467, 889465, 889471, 889491, 889531, 889597?\n\"Answer: k**3 - 2*k**2 - 3*k + 889471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -201540, -403106, -604700, -806322, -1007972?\n\"Answer: -14*u**2 - 201524*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*n - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -1336603?\nAnswer: 1336586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 0, -3*s + 7*t = 3*t - 737. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -8. Let w be (-8204)\/b*6\/2*-1. Suppose -z + w = 6*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 - 3*k + 27. Let s(x) = 19 + 5*x**2 - x**2 - x - 52 + 5*x + 6. Determine -6*i(l) - 5*s(l).\nAnswer: -2*l**2 - 2*l - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/25132 and -89\/14?\nAnswer: 175924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(5\/((-30)\/(-9))). Let h be (1\/j)\/((-2)\/28). Let q(z) = z**3 + 7*z**2 - 4*z + 3. What are the prime factors of q(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -416 greater than -145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = -4*k, -k - 1 = -x + 12. Let g(u) = 2*u**2 + 8*u - 9. What is the remainder when 7\/x*196 - 0\/2 is divided by g(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*w - 5*w**2 + 12*w**2 - 5*w**2)*(-2 + 5 + 9) as u*w**2 + t*w + p and give t.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -90*r**2 - 102*r + 56. Let b(g) = 8*g**2 + 9*g - 5. Let o(c) = -68*b(c) - 6*q(c). Factor o(f).\nAnswer: -4*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -23*m**4\/24 - 25*m**2. Let d(g) = 7*g. Let o(l) = -8*l. Let n(h) = -6*d(h) - 5*o(h). Determine y(n(f)).\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 41*g**2 - 351*g + 183. Calculate z(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -1220074367004?\nAnswer: 1220074367001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 - 4*r - 3. Let k be v(-2). Calculate the lowest common multiple of ((-60)\/(-9))\/(6\/k) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22160437, -22160447, -22160457, -22160467, -22160477, -22160487?\nAnswer: -22160497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((-32)\/24)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 1103523510518.\nAnswer: 1103523510518.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-25 - -12) + 1 - 3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 + 13133432*o\/5 - 21560879512328\/5.\nAnswer: -2*(o - 3283358)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235 + 180 + 137 - q.\nAnswer: -q + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:14 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from vvqqdddqdndad?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 750.5637mg in kilograms?\nAnswer: 0.0007505637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - c = -11*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b*b\/b**(-4\/9) assuming b is positive.\nAnswer: b**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 1\/3 (c) 4 (d) 666 (e) -0.839\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 85 + -0.0730668086\nAnswer: 84.9269331914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 t when four letters picked without replacement from {t: 1, p: 2, o: 1, v: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**4)\/r**11 assuming r is positive.\nAnswer: r**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1232, -2896, -4562, -6230, -7900, -9572?\nAnswer: -11246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2287*p**3 - 4385*p**2 + 10*p - 30. Let o(v) = 2*v**3 + 2*v - 6. Let k(j) = i(j) - 5*o(j). Find the third derivative of k(m) wrt m.\nAnswer: 13662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5\/2 + 7*l**4\/2 - 6*l**3 = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.1, -2\/15, -1 in descending order.\nAnswer: -0.08, -0.1, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*b - 26464, 2*g + 8*b - 17642 = 11*b. What are the prime factors of g?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 1 h when three letters picked without replacement from ofommoommh?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-122256)\/(-86598))\/((-4)\/(-289))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002022954842 rounded to 5 decimal places?\nAnswer: -0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 27017?\nAnswer: 27017.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*a + 5*a + 5 = 0, 0 = 2*a + 8. Let g be -6 + c + 3 + -2. Let w(s) = -9*s - 20. Let j(f) = -3*f - 7. What is g*w(n) + 17*j(n)?\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 88671.\nAnswer: -62\/88671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + 1*(-8)\/(-3). Let g(f) = -5*f**i + 0*f**2 + 8*f**2 - 2*f**2. Let z(a) = -49*a. Determine g(z(h)).\nAnswer: 2401*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7830926.\nAnswer: 2, 19, 206077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24676 + -74026\/3. Determine f so that 8\/3*f**4 - t*f**2 - 4*f**3 + 13\/3*f - 1\/3*f**5 - 2 = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 110*d - 624. Let o be c(6). Solve o = 2*i + 3*h + 4, -4*h - 12 = -3*i + 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 93*g**4\/4 - g**3 + 537*g**2 - 2143. Find the second derivative of i(k) wrt k.\nAnswer: 558*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*k + 24136, 5*b + 37255 = -k + 7106. Let f = 11306 + b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4*52347\nAnswer: 230326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39504551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 plus -384288?\nAnswer: -384086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) + (-39)\/(-2). Suppose 4*t - 13 = 5*y - 33, 4*t = -5*y - z. Sort t, 3, -1 in descending order.\nAnswer: 3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100\/3 + 44\/66 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4642343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d + 3. Let j = 1 - -3. Suppose -3*x - j + 19 = 0. What is the tens digit of l(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**5 + 2785*z**4 - 10985*z**3 - 41565*z**2 + 49770*z = 0.\nAnswer: -3, 0, 1, 6, 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-735)\/(-28) + 1\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 312.9 (b) 0.1 (c) -396 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49098181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -825.\nAnswer: -825, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 8*p**2 - 27. Calculate s(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 52 + (7 + 0 + -14 - 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 907, 1803, 2701, 3601?\nAnswer: 4503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 2. Let v(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 5*i - 1488. Give -10*p(o) - 4*v(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -20 - (-2 - (3 + 0 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000075 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 253001684 + -5?\nAnswer: 253001679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -4. Let f be (-6)\/(-11)*q\/(-3). Let a = 38.5 - 39. What is the biggest value in a, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -243*f. Let x(y) = 15 - 9 - 12*y - 14 + 8. What is p(x(t))?\nAnswer: 2916*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2045, 9433, 16817, 24197, 31573, 38945?\n\"Answer: -2*z**2 + 7394*z - 5347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2544 in 0.4, 3, 4, 1\/2, 35\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/6)\/s)**(3\/8) assuming s is positive.\nAnswer: s**(-11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19027*j**3*k**3 + j**3 - 5*j**2*k**3 - 118787*j*k**2 - 30*k**3 - 9*k**2 wrt k?\nAnswer: 114162*j**3 - 30*j**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 18 + 11 + 6)*(15*k + 210 - 210).\nAnswer: 30*k**2 - 15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z - 1. Calculate m(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -2310907?\nAnswer: -231091c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4959907.\nAnswer: 31, 193, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 10*i**2 - 11*i + 4. Let y be q(-9). Suppose 0*v + 27 = 5*v - o, -o - y = -4*v. Which is the third biggest value? (a) 7 (b) v (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-7)\/(-210)*75\/(-30)*106\/(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11908 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 45 = -3*p, -4*b - 2*p - 3*p + 35 = 0. Let f be (6\/4)\/(b\/15100). Round f to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 13*p - 36. Let v(k) be the first derivative of -1\/2*k**4 + 0*k + 4 - 2*k**2 + 0*k**p. What is the second derivative of v(j) wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 40 = v. Let d be 8*2 + (5 - 4). Let k = v + d. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -921004.629 to the nearest one hundred.\nAnswer: -921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from rrorororrroo.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -10802\/549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 215469 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -693 divided by -11?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 4. Let k be o(2). Let y be (-9)\/k + 15\/(-10). Suppose y = -2*b + 2292 - 58. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -10. Let m = -1 - j. Let y(a) = -264*a + 12. Let h be y(m). Round h to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*i = -i + 1174, -4 = i. Calculate the common denominator of 88\/45 and (-1 + 3)*(-355)\/w.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 2. Suppose 2 = a*l + 4. Let s be (11 - l)*6\/18. Solve 8 = 2*u + 3*h, -s = -4*u + 3*u + 4*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhdnnowddhhnhh. Give prob of picking 2 d and 1 w.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 90 - 118)*(2*u - 3*u + 0*u) + (22 - 38 - 26)*(0*u + 0*u + u) to the form k*u + m and give k.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 5*b - 2*b)*(100 - 406 + 263 - 528 - 836).\nAnswer: 2814*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let l = -363 + 367. Let k(f) = 18*f - 57*f + l*f. Determine k(q(a)).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12) + (-40)\/(-24)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 + 3 - 10*t to g + m*t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1379 - 2828 + 2*z + 1411 + 0*z.\nAnswer: 2*z - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*c = -0*b + 36, 0 = 4*b + 5*c - 4. Suppose -v = -2*v + 13. Let j(d) = 0 + 3 + v*d - d**2 - 7*d. What is j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 0 + 28. Suppose -2*q = -3*l - 47 + 16, -5*q + 5*l = -65. Suppose -q = -4*p, y*n = 3*n + p + 762. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.008 + -0.06. Let g = 0.152 + j. What is the closest to g in 2.6, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpe when three letters picked without replacement from ssepsswsssppsss.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*f + 8900 = 199*f - 18730 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 14*z + 7*z + 4*z)*(-1 - 4 - 2) - 2 + 4 + 2*z - 3.\nAnswer: 23*z - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*r**2 + 250*r**2 - 480*r**2.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 110 - 373 + 54*z + 112 - 76*z + 51.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**32)**(2\/3)\/(y**(-3\/10)*y**(-17)) assuming y is positive.\nAnswer: y**(1159\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6107, -12207, -18283, -24323, -30315, -36247, -42107?\n\"Answer: 2*b**3 - 6114*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(144)\/(-2*sqrt(3)))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-27) + (-5 - (-138)\/27). Solve 2*n + h - 6 = 6, 0 = 3*n - z*h - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000000010001010 (base 2) to base 10.\nAnswer: 32906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -58. Solve 0 = 3*o - 9, v*l - 6*l - o - 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 - 2*h + 4. Let z be c(5). Find the third derivative of -z*t**5 + 0*t**5 + t**2 + 2*t**5 - 3*t**5 wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -156 + 160. Let w be 0*-1*k\/(-8). Sort -92, w, 5 in increasing order.\nAnswer: -92, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.51 - 0.49. Let v = x + 44.5. Which is the closest to 0.1? (a) v (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifaqi. What is prob of sequence iafi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65145 and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/2 + (2 - 23\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 - 785 = -82*g + 109. Solve -4*l - g = y, 3*l - 637*y = -640*y - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*d - 178, 5*v - 5*d - 435 = -0*d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.491091 + 3.509299. Let p = -7 - -22. Let m = b - p. What is m rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/3675*7)\/((-8)\/(-78))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.999?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2398*k**2*n**3 - k*n**2 - 7*k - 87*n**3 wrt k?\nAnswer: 4796*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 381.586 in 1\/2, -8.4, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 45.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4 + 1. Let v be ((-3)\/(8700\/16))\/((-42)\/245*-7). Are m and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.180504 decades to centuries.\nAnswer: 0.0180504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c + 441. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Suppose 80*g = 74*g + 24. Let j(z) be the third derivative of 0*z**3 - g*z**2 + 2\/15*z**5 + 0*z + 0*z**4 + 0. Calculate j(i(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37942\/113835 + 1\/37945. Which is the fourth biggest value? (a) -3 (b) -0.07 (c) 1 (d) w (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4069262926?\nAnswer: 2, 31, 4447, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-4 - (sqrt(102) + 2*sqrt(102))*-4)\/((sqrt(6) + -2*sqrt(600) - sqrt(6))*-3).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2330 = -5*k + 12250. Is k a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8*i + 200. Suppose c + i - 41 = 0. Calculate the remainder when c is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -41. What is the common denominator of (j\/(-8))\/(14\/(-26)) and 17\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0655 - 0.0345. Sort -17, -4\/11, p in descending order.\nAnswer: p, -4\/11, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 2. Let s = 1 + 1. Let b be q(s). List the prime factors of (-6)\/b + 56\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10*d**2. Let p(z) be the first derivative of z**3\/3 + z - 4. Let r(y) = 104*y**2 + 117. Let b(a) = 234*p(a) - 2*r(a). What is b(c(g))?\nAnswer: 2600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -7*p**4\/12 + p**3\/2 + 3*p**2. Let d be -1*11\/(0 + -1). Let r(b) = 5*b - 1. What is d*r(v) + 4*a(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*k = 4, -1520 = 3*n - 5*k. Let z = n + 570. Is 58 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 5)*-1 - 6\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34013 smaller than -34039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 4279534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.352 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.7 + -15.7. Which is the closest to -35? (a) -0.2 (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 r when three letters picked without replacement from rrzkzrrkzzrrzkrk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 292.782 to the nearest integer.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g + 36. Let u be d(0). What is the highest common divisor of 108 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/7)*l*l*l)**(-5\/3)*l**(6\/5)*l**(-1\/4)*l assuming l is positive.\nAnswer: l**(-1781\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:21 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -2*f - 2*b - 980, b = f - 196. Suppose 0 = -3*q + q - f. Let j = -86 - q. Calculate the remainder when 20 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 857.5 and -1.2591318038.\nAnswer: 856.2408681962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126660361 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. Suppose 0 = 2*p + 3 + 1. Let y be 1\/(p\/(m + 0)). Let v(i) = 10*i**3 - i**2 + 2*i - 1. Give v(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66535.\nAnswer: 5, 7, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 2. Let p be y(-9). Let z = -33 - p. Let n = 2 - z. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153036?\nAnswer: 2, 7, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (6 - 18) - (1 + 45)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/5918 and -23\/5.\nAnswer: 29590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 0 + 3 + 0*i + i + 2*i. Let l(c) be the second derivative of c**3\/3 - 2*c**2 + 4*c. What is 3*l(b) + 4*n(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (2 + sqrt(176))) + sqrt(11) + (1 + sqrt(1331) - sqrt(11)))**2.\nAnswer: -16*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 38*i - 14*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s - 46 - 51 + 97 + 16*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 16?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 6, d: 5, y: 4}. What is prob of sequence dyu?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7778 - 12678. Let x be (-8 + 2408)\/((-6)\/z). Suppose -r = -8*r - x. What is r rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 20*k + 52. Does 11 divide q(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-515*a**2 - 1013*a**2 + 1136*a**2)*(-2*a + 1 + 2*a + 3*a)*(2*a - 4 + 4).\nAnswer: -2352*a**4 - 784*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:54 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -21*w**3 + 10*w**2 + 98*w + 18. Is 42 a factor of y(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/7 - 3*q**3 - 477*q**2\/7 - 317*q - 252 = 0. What is q?\nAnswer: -7, -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6 and -7.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 3)\/((-1)\/(-2)*-2). Suppose 4*j = 5*i - q*j - 283, -116 = -2*i + 3*j. What is the lowest common multiple of 5 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 615 = s, -186 - 183 = -3*r + 4*s. Let x be (r - 1) + 12 + -13. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 346611 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**4 + 18*u**2 + 16*u**4 - u**2 wrt u?\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 39*w - 59.\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - o - 2 = 0, 3*o - 5 + 11 = -u. Let k be (u - (-2)\/1)\/(-2)*-5. Put k, 3, 4, -12 in decreasing order.\nAnswer: k, 4, 3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 19*a**7\/210 + 23*a**3\/6 - a**2. Find the first derivative of y(x) wrt x.\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71165, 142330, 213495, 284660?\n\"Answer: 71165*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 96, 136, 168?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(9) - sqrt(18)\/sqrt(2))*2)\/((-2*sqrt(24))\/sqrt(8)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 40 = 11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - -4. What is the remainder when t is divided by (39\/(-6))\/((-2)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -863 - -863.397. Let m = t - -0.003. Which is the closest to 0.1? (a) 3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(264\/5) + 2\/(-11)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -3 + (-9 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**3 - 102*q**2 + 39*q + 19. Determine j(20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 + 129. What is the smallest common multiple of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61\/31 - -653\/62. Let z = -17\/9 + 1\/72. Let y = z + 63\/40. Calculate the common denominator of p and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 6:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429 + 417 = -i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 5*m**2 + 5*m - 5. Let h(n) = -n**3 - 2*n**2 - 2*n. Let b(x) = 1. Let w(p) = -2*b(p) - h(p). Calculate -6*l(z) + 15*w(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067949 times -0.5?\nAnswer: 0.0339745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, -16, -108, -292, -598, -1056?\n\"Answer: -5*t**3 - t**2 + 8*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.175 - -9.275. Let u = r + -9. Let l = -5.4 + 0.4. Sort -1\/3, u, l in decreasing order.\nAnswer: u, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(272))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 15*k + 80. List the prime factors of ((-26)\/k)\/((-1350)\/192 + 7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*1*2)\/(4*sqrt(32)\/sqrt(4) + sqrt(8)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 2*a = -m - 204, -4*m - 33 = 4*a + 119 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1438\/3)\/(8\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (-3 - (-4 + 3)). Let b = 4\/7 - 1\/14. Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Let c(i) = -5*i**3 + i**2 - 3*i - 8. Let o(p) = -9*p**3 + 3*p**2 - 6*p - 15. Let y(f) = 7*c(f) - 4*o(f). What is y(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + b)*(17 + 6*b - 17)*(5*b**3 + 7*b**2 - 7*b**2).\nAnswer: 30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 224*r + 224*r + 5*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 6*j**2 - j - 10. Let i be f(8). Calculate the highest common divisor of i and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-27)\/(-2) + 0 - 25\/50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 137, 8, -1\/7, -9, 4 in decreasing order.\nAnswer: 137, 8, 4, -1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*p - 9, 4*p + j - 22 = -j. Let k = -28 - -41. What is the remainder when k is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 25907*v**2 + 129503*v - 1. Give g(-5).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/240 and 16\/33.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/17 + 59818*m**2\/17 - 119622*m\/17 - 179442\/17 = 0. Calculate m.\nAnswer: -1, 3, 29907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9131, -9111, -9069, -8999, -8895, -8751?\nAnswer: -8561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-1530)\/15))\/((-1)\/4)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:51 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121*a**3*q**2*z**2 + 151*a**3*q**2*z + 27*a**3*q*z**2 + 5*a**3*z - 6*a**3 - a**2*q*z**2 + 3*a**2*q*z wrt q.\nAnswer: -242*a**3*z**2 + 302*a**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let m(x) = 4 - 17*x - 3 - 12*x + 35*x. Give -4*g(l) + m(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - (0 - 1)) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*542.\nAnswer: 151.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17020364 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9202165*q**3 + 2341*q**2 - 1257 wrt q?\nAnswer: -55212990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60191?\nAnswer: 23, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 - 12*r**2 + 0*r**2 - 7*r**2. Let t(a) = 3*a - 2*a**2 - 4*a + a. Determine t(q(i)).\nAnswer: -512*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - z - 4 + z + 3*z - 5*z - z + 2*z - 2*z + 3*z - 4*z - z + (-z + z - z)*(0 - 1 + 3) + 5*z - 4*z + 0*z + z - 2*z - z - 6 - 3*z + 6 + 3*z - z + 2*z + 8.\nAnswer: -7*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 6:01 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4405055?\nAnswer: 5, 19, 89, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Suppose 0 = -3*d + s, 5*m - 5*d - 26 = -6. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4 + (-228)\/240. Let j = -0.18 + 0.08. Which is the closest to j? (a) -3 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3329199 or -88?\nAnswer: -3329199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1925848 * -0.2\nAnswer: 385169.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*s = 683*s + 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, -1, 314, 1 in ascending order.\nAnswer: -4, -1, 1, 13, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1939, 3879, 5817, 7753, 9687, 11619?\n\"Answer: -j**2 + 1943*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 11, -4, 10, -3, 59 in increasing order.\nAnswer: -5, -4, -3, 1, 10, 11, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(12857\/13)\/(-43)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + -15. Let c = y - -33. Let b = 0.164 + -0.664. Put -4, b, c in decreasing order.\nAnswer: b, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20972271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 4*g + 4. Let r(l) = -3*l + 2. Let c be r(-6). Let t be ((-15)\/c)\/((-2)\/(-8)). What is the tens digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29b - -2adc8c?\nAnswer: 2ad9d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 25) + (-445 - -475).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6106 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 + 16*u. Let i(t) = t**2 + 3*t. Give 11*i(h) - 2*k(h).\nAnswer: 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 1. Let x be y(6). Let u(c) = -10*c - 196. Let p be u(-20). Solve -2*v + x = 3*m + p, -m = 2*v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4.3, 0.06, 1\/5, 126, -2, 2\/7?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 352480 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 247, 232, 213, 190?\n\"Answer: -2*p**2 - 9*p + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 207 = 4*c. Solve 8*y + 7 = -c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000845826 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 4*x + x)*(0*x + 0*x + x) - 2*x**2 - 4 + 4 + x**2 + 6*x**2 - 5*x**2 + 1 - 2*x**2 - 1 + 1 - x**2 - 1 + (-x + 4*x - 4*x)*(0 + 2*x + 0).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -44150, -87938, -131726?\n\"Answer: -43788*k - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 60\nAnswer: -11\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(1\/4))*j*j**(-1\/4)*j)\/j**(-9\/10))\/(((j\/j**5)\/j)\/j**(-1\/5))**39 assuming j is positive.\nAnswer: j**(948\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (21 + -2 - (570 + -506)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1. Let i = -372 - -368. Let h(b) = -2*b**2 + 1. Calculate i*x(c) + 4*h(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 85*c - 48141. Calculate a(266).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9641.\nAnswer: 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 61281, 61279, 61267, 61239, 61189, 61111, 60999, 60847?\n\"Answer: -a**3 + a**2 + 2*a + 61279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 + u + 9\/5*u**3 + 16\/5*u**2.\nAnswer: (u + 1)**2*(9*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189956 * 0.3\nAnswer: -56986.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12.8962 times -7\nAnswer: -90.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81.25 - 80.75. Sort -52, -0.3, x in ascending order.\nAnswer: -52, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 18. Calculate the remainder when g is divided by 14\/2 + 8 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28793 is divided by 488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 14*l + 10. Let f be z(6). Let n = 72 + f. What is the least common multiple of n and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1138 - -1156. Calculate the highest common divisor of k and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/5 + 41004*w**4\/5 - 210616512*w**3\/5 + 4617665984*w**2\/5 - 4024172544*w - 12079595520 = 0. Calculate w.\nAnswer: -2, 12, 10240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*t**2*y**3 - 13*t**2*y**2 + 73*y**3 + 2 wrt t?\nAnswer: 16*t*y**3 - 26*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-194)\/(-6)*-2 - 2. Let g = -66 - w. Which is the nearest to -0.2? (a) 1 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 2\/(-2)*3 - (-1639 - -19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2896, -2955, -3092, -3313, -3624?\n\"Answer: -s**3 - 33*s**2 + 47*s - 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51534 is divided by 83.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -101*h. Let x(a) = -20*a. What is 2*i(q) - 11*x(q)?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34315274687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/7 + 4\/(-14). Let d be (-7)\/(-2) + a\/2. Suppose -d*u = -5*u + 8. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*q - 5 - 81, -3*z = -12. Let u(p) = p**3 - 16*p**2 - 7*p - 54. Calculate the remainder when u(17) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5040)\/1344*(-2)\/20)\/(7\/2632)?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) 499 (b) -8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1773.3 (b) -0.07 (c) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252) + 2 + sqrt(252) + (sqrt(252) - 1*sqrt(252)) + 4*sqrt(252)*1)**2*6*-3 + -2.\nAnswer: -163316 - 1296*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5 - 3)*(0*b + 3*b - 2*b) - 6 - 12*b + 6.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z - 123 - 2*z**4 - 252*z**2 + 90*z**3 + 369 + 90 = 0 for z.\nAnswer: -1, 2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/2))\/y)**(-2\/21)*y**4*y**(5\/3) assuming y is positive.\nAnswer: y**(118\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.59 - -3.8. Let p = -10.21 + i. Let x = 6 + p. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by -2762.\nAnswer: -139\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*s**3 + 303*s - 4194 with respect to s.\nAnswer: -21*s**2 + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -583.5 + 590. Let l = q + -3.5. Let g = -6 + -3. Which is the second biggest value? (a) l (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 38?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.489485 and 342.5.\nAnswer: 342.989485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from dljjlll?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Let w = -3.5 + h. Which is the nearest to 8? (a) 1\/3 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -93*g - 5862. Calculate j(-50).\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-685.41\nAnswer: 205.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/7 + 992*w**4\/7 - 2730*w**3 + 33280*w**2\/7 + 19112*w\/7 - 4896 = 0?\nAnswer: -1, 1, 2, 18, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1025 and 20?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/1*3\/15. Let z = -0.2 + -0.3. Sort z, f, 5.\nAnswer: z, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -3 - (10 - 0 - (-86 - -92)) - 2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 - w. Let p(u) = -u**3 - 12*u**2 + 6*u. Let b(f) = -6*j(f) - p(f). Find the third derivative of b(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111111010001110 - -1110?\nAnswer: -1111111010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60790 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/116 and -49\/580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -0.3, -1\/23, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 2*h - 1. Let y be n(-2). Let r be 0*2*2\/8. Suppose -y*k - 2*k + 420 = r. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 34854715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (3 - (5 - -3))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/24 + 5*c**5\/4 + 55*c**4\/24 - 325*c**3\/2 - 7985*c**2. Suppose y(m) = 0. Calculate m.\nAnswer: -13, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 12 = z, -3*n - 17 = -3*z + 7. Sort 1, 5, n in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnvn. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 4\/53085093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*z**2 + z**3 + z**3 + 28760 - 28759 to the form i*z**3 + p*z + g*z**2 + o and give g.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9\/10 of a millennium?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -2) + -12 + 2 + (5 - 6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) 0 (c) -2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30820*u**2 - 52310 with respect to u.\nAnswer: 61640*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1, 39, 4, -46, 7 in ascending order.\nAnswer: -46, 1, 4, 7, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppln when four letters picked without replacement from nmymoypooplnlo.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by 473080?\nAnswer: -73\/236540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(24)*2)\/sqrt(8) + (6*sqrt(384))\/sqrt(8))**2*-2.\nAnswer: -6936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 17 + 1 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2\/3 - 61681570*w\/3 + 15420394.\nAnswer: -2*(w + 7710197)*(4*w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 20711 - 43171 = 0. Suppose 60*d - 73*d = -x. Is 39 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1127, 1154, 1181, 1208, 1235?\n\"Answer: 27*b + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - g**5 - 3*g**5 - 3*g**5 + 2*g**5 - g**5 + (-2*g + 1 - 1)*(-2*g**2 - 3*g**4 + 2*g**2) + 0*g**5 + g**5 - 2*g**5 - g**5 + 0*g**5 + 2*g**5.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3596389140 to the nearest integer?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:40 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from dzzzzdzddzzzzdzzzz.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14120359.\nAnswer: 11, 41, 131, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/80 - r**4\/12 - 5*r**3\/24 - r**2\/4 + 32*r. Let q(p) = 0. What is p?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -821, -1770, -2721, -3674, -4629, -5586, -6545?\n\"Answer: -h**2 - 946*h + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7269 + 9977. Is o a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2*g**2 - 5*g**2)*(-2073 + 5*g**2 + 2073).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let y = 1608 - 1589. Solve 0 = -4*n + w - y, 21 = -c*n + 5*w - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 28338*f**2 - 117*f - 121. What is the hundreds digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*(c\/(((((c*c**4*c*c)\/c)\/c*c)\/c*c)\/c*c))\/c)\/c*c**(1\/8))\/(c**(2\/5))**(-12) assuming c is positive.\nAnswer: c**(-3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004306 rounded to seven decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9017*d**6 + d**5 + 2*d**3 - 170913*d**2 wrt d?\nAnswer: 1082040*d**3 + 60*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.03, 8, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4314*i**5 - 24*i**4 + 2*i**3 - i**2 - 5*i - 1946?\nAnswer: -258840*i**2 - 576*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21092501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a - 1. Let f be v(-1). Let u(k) = -4*k - 7. Let q be u(-11). Let z = q - 37. Solve f*t - o = -z*o + 7, t + 10 = -4*o for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9136970, -36547796, -82232506, -146191100, -228423578, -328929940?\n\"Answer: -9136942*a**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18 - -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 0*c**3 - 2*c**3 - 7*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 + -330. Suppose 0 = 141*r - b*r - 1224. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, v: 2, r: 3}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3)*6\/(-4) - -4. Suppose t = -9*x + 30. Suppose 21 + 32 = p - x*k, -184 = -4*p - 2*k. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 7*y. Let t(p) = -p. Let k(c) = -1. Let r(i) = -k(i) - t(i). Let m(q) = -o(q) - 3*r(q). Let s = -5 + 8. Calculate m(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h - 75. Suppose 0 = -4*y - 91 + 15. Let s = y - h. What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -33, 1209 in descending order.\nAnswer: 1209, 6, 4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/15)\/(-18*(-10)\/600)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -205. Let m be (9\/(-5))\/((-12)\/(-200)*p). Solve -m = 4*k + 2*z + 3*z, 0 = -4*k + 5*z - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/9 - 48*o**2 - 3640*o\/3 - 73696\/9 = 0. What is o?\nAnswer: -188, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6771*y - 6782*y - 308. Does y = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 3. Let y(a) = 1. Let v(s) = -3*y(s) - z(s). Let d(k) = -3*k. What is d(v(h))?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124503 and 7064?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 8. Let d be j(-8). Let b be (-28)\/d - 2\/4. Suppose -b*q + 40 = 2*g, 0*q - 12 = -q - 2*g. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1943 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 2 - 1\/6*m**3 + 1\/2*m**2 + 22*m. Let t(p) = -3*p + 3. Give t(h) - 2*z(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let y(q) = 696*q**2 - 18*q. Calculate y(a(r)).\nAnswer: 696*r**2 + 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4201344 or -4201342?\nAnswer: -4201344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 5:02 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 8. Let t be q(-6). Suppose 2*z = -t*b + 3 + 1, -2*b - 2*z = 0. Suppose 4*p = 5*p - b. Solve -p*u - 2 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*k + 26, -u + 2*u = 1. Calculate the remainder when k\/18 + 132\/9 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2004 and -67\/1128252?\nAnswer: 1128252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 88*d**3 - 448*d**2 + 6784*d - 15360.\nAnswer: 4*(d - 24)*(d - 4)**2*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:29 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 9 + 163 = -2*j, 4*s - 5*j = 305. Let o(z) = -30*z + s*z - 26*z - 31*z. Let i(r) = -4*r**2. What is i(o(a))?\nAnswer: -196*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -260.8 - -261. What is the closest to -0.1 in -0.07, -3, w?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*r**4 + 549*r**4 + 885*r**4 - 5*r**4 + r**4 + 2*r**4 + (2*r - 2*r - 2*r)*(2*r**3 - 3 + 3).\nAnswer: 1393*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azuv when four letters picked without replacement from vavvuvzavuvvvvavauu?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -481 + 3?\nAnswer: -47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*u - 35, 2*u = 6*u + 12. Suppose -4*q - 3 = -367. Suppose -q - d = -4*k. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5601, 11200, 16799, 22398, 27997?\nAnswer: 33596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -5655?\nAnswer: -5658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -13*q + 3*q. What is the common denominator of -26\/9 and -29*q\/(-8) + -1*4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9577 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 120 = -582. Calculate the highest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84 + 70*n - 37 - 47 + (4 + 0 - 3)*(5*n - 2*n + n) in the form t*n + i and give t.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/10)*c*c)\/c*c**(2\/3))**(-1\/6) assuming c is positive.\nAnswer: c**(-59\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/188483477 and -109\/48412.\nAnswer: 5277537356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9654)\/(-8045)*(-20)\/(-972).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-2*(-1)\/3). Let t(f) = 104*f + 16*f - 62*f - 59*f + 5. Let c be 2\/(-3) - (-8)\/3. Let s(i) = i - 6. Give c*s(a) + d*t(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*a + x, -2*a + 2 = -3*a + x. Is 30*5 - (-4 - a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8*o - 5 = 2*w, 4*o = -5*w + 13. Solve -2*x + w + 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803*j + 61 = 3*f - 795*j, 10 = -2*f + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 487904 and 11892660?\nAnswer: 95141280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 3*o - 3*o)*(2*o + 4 - 4)*(-5 - 118 - 25)*(0*o + 0*o - o).\nAnswer: 296*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110101?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 197, 700, 1543, 2726, 4249, 6112, 8315?\nAnswer: 10858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80668889329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 1 - 35*o**3 + 31*o**3 - 2*o**4 + 0*o**2 to z*o**2 + p*o**4 + c + s*o**3 + w*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-10)\/3)*-6. Let b be g\/(-4) - (-3)\/(-12). Let a be (-129)\/(-15) + b\/5. Let n(p) = p**2 - 17*p + 1. Let o(d) = -4*d. Give a*o(k) - 2*n(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:33 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/4 - 22743*i\/2 - 45483\/4 = 0. What is i?\nAnswer: -15161, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2) - 1)\/(60\/(-80)). Factor 3*i**t - 27*i + 2 - 2 + 13 + 11.\nAnswer: 3*(i - 8)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43391544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -162414*i**3*x - 36*i**3 - 404*i wrt x?\nAnswer: -162414*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*a + 25. Find the second derivative of 3 + 4 - 9 + 4*g**2 - 37*g - 4*g**a wrt g.\nAnswer: -24*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 19*(-5)\/5. Let o = 68 + a. What is the remainder when 227 is divided by o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/11)\/y*y*y)**(2\/7)*(y\/(y\/(y*y*y\/y**(-2\/25)))*y)**(-21) assuming y is positive.\nAnswer: y**(-164334\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 1.71366.\nAnswer: 0.0171366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 148 = -23. Calculate the smallest common multiple of (22 - b)\/((-1)\/(-12)) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 489996 divided by 18\nAnswer: 27222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 74407 divided by 6\nAnswer: 74407\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.56894 millilitres in litres?\nAnswer: 0.00756894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46826205 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c15 + 5e?\nAnswer: -bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -b + 1. Let f = -10 + b. Let t be (4\/(-8))\/((-1)\/f). Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3300 = -2*z + 2*b, -7179 - 1095 = -5*z - 3*b. Suppose 19421 = 8*g + z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from {z: 1, w: 3, l: 3, s: 1, c: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 100010100001000?\nAnswer: 100010100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.645 + 3\nAnswer: 1.355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 + k**2 + 6*k - 12. Let t(a) = -3*a**3 + a**2 - a + 1. What is -f(l) - 5*t(l)?\nAnswer: 11*l**3 - 6*l**2 - l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 13, u: 2, z: 3}. Give prob of picking 1 x, 1 u, and 1 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62093 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*a + 344*a = 5*s - 38, -2*s - 26*a + 40 = 41 - 861 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 87*y**2 - 1888*y - 66. Let z = 11 + -7. What is the lowest common multiple of f(-41) and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (-1 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)*t**(-2\/35))\/(t**(1\/5)\/t**(3\/8))*((t**(-7)*t)\/(t\/(t\/t**(1\/8))))\/((t\/t**4)\/(t**(-5)*t)) assuming t is positive.\nAnswer: t**(-3083\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(567) + -3)*-4)**2.\nAnswer: 864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**6 - 149*c**5 - 143*c**4 - 2888*c**2 + c + 4 wrt c?\nAnswer: -120*c**3 - 8940*c**2 - 3432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2712 in -2\/259, 1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 1. Suppose -g + 20 = p*g. Suppose 2 = g*z - 3*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148482*q*w**3 + q*w**2 + 1794*q*w - q + 189*w**3 + 4*w**2 + w + 957 wrt w?\nAnswer: -890892*q + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69930.9488 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*(-4)\/(-8). Which is the nearest to p? (a) 2 (b) 1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 1109*r + 8802. Let l be h(8). Let z(k) = k**3 + 9*k**2 + 15*k + 4. What is z(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (358380\/120)\/181*2\/(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*t - 667470 + 667470.\nAnswer: 269*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29163 * 86.\nAnswer: 2508018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((-112)\/(-56))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 7 + -15 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 57*p**2 - 18*p - 817. Calculate the remainder when x(-57) is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 2*a**3 - 2*a**3 + (-4 + 3 + 2)*(4*a**3 + 0*a**3 - 3*a**3) + (4 + 2*a**2 - 4)*(-5 - 5*a + 5).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 105 and -1216.35.\nAnswer: -1111.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-21)*(-1428)\/20?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.56 + 0.5. Let k = 1.5 + -1.56. Let o = r - k. Put o, 4, -1 in decreasing order.\nAnswer: 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -167488231\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8961 + -4780. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8 and -82797\/11153 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -127*f**2\/9 + 509*f\/9 - 4\/9 = 0.\nAnswer: 1\/127, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - a + 694401, d = 4*a - 430125 + 82921. Round d to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(5 + -6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 12*z**2 - 19*z + 10. Let y be n(-10). Suppose y = -3*g + 4*a + 14, -3*a + 6 = -4*g + 20. Factor 9\/4 + 3\/4*t**g + 3*t.\nAnswer: 3*(t + 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -19*b + 2*k, -3*k + 12 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36611143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 518 + -513. Solve -5*a = -y, 5*a + 17 = -4*k + 6*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 + 21 = 0. Let m be (-10*2)\/(w + -11). Let g = 1144 - 1084. What is the highest common divisor of g and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15561 is divided by 15554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.241 - -3.241. What is the nearest to 0.1 in u, 1\/7, 1, -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -487 - -487.1. Put -7, k, -6 in ascending order.\nAnswer: -7, -6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/(p\/(p**5*p)*p))\/p))\/p*p\/p**(-1\/3)*p*p**6\/(p\/(p\/p**(-2\/3)))*((p\/(p\/p**(-1\/4)))\/p)**47*p**(-4)\/p**(-2\/3) assuming p is positive.\nAnswer: p**(-697\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + (sqrt(891)*-1 + -4)*3*-1.\nAnswer: 13 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 2130 = 26. List the prime factors of c.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15787 + -15786. Suppose -5*s - 35 = w - 12, -18 = w + 4*s. Solve -5*f = 3*p - 4, 0 = 3*p + w*f - 8 + m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 + 24 = 17*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - (-28 + 10)) + (-1 - -5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n**3*o**2*r - 17*n**3*r**2 - 3690*n**2*o**2*r**2 - 3*n**2*o**2*r - 2*n**2*o**2 + 111*n*o**2 wrt r?\nAnswer: -34*n**3 - 7380*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1, -3, -9 in decreasing order.\nAnswer: 2, 1, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 - -140. Let t be -6*(2\/(-4) + -2). Solve n + 23 = p*x, x + 3*n - t = -2*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -632*h + 631*h + 5, -4*g = -2*h + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2275 - 3486\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11368 and 0.287.\nAnswer: 3262.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 9*g**2 - 10*g + 17. Let o = -40 + 48. Let t be j(o). Find the common denominator of (-3)\/t - (-465)\/230 and -43\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352994072 to the power of 1\/2, to the nearest integer?\nAnswer: 18788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 5*p**2 + 23*p - 5. Let n(h) = -h + 2. Calculate the remainder when r(-6) is divided by n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46586204 to the nearest integer?\nAnswer: 6825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzz. Give prob of sequence zzg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-175)*36\/(1620\/25)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 606, 0, -12, 1, 8 in descending order.\nAnswer: 606, 8, 1, 0, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 18*z**2 + 38*z - 87. Determine a(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 51.978. Let i = -2.978 - v. Let s be 8\/(-30) + (-4)\/10. Which is the closest to 0? (a) s (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 0.3857344185.\nAnswer: -3.6142655815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 8:40 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(228) - (sqrt(228) + 2*sqrt(228))*2) + (sqrt(228) - 5*(-1*sqrt(228) - sqrt(228))))\/(sqrt(36)\/((3*sqrt(27))\/sqrt(9))))**2*-6.\nAnswer: -923400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22353 + 39690. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 10:54 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 11*w**2 - 9*w + 40. Suppose 42 = 5*p + 27. Let i(t) = -4*t**2 + 3*t - 13. Let d(m) = p*x(m) + 8*i(m). What is the units digit of d(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 963 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 16) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88965\/64 - 1390. Which is the smallest value? (a) -0.4 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57040793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 78508?\nAnswer: -3\/78508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 + 39*k**2 - k - 28. What is u(14)?\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -17\/12*x**4 + 5 + 8*x + 0*x**2 + 1\/10*x**5 - 2\/15*x**6 + 1\/6*x**3. Find the third derivative of s(j) wrt j.\nAnswer: -96*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 16*d + 43. Let s = -83 + 76. What is the tens digit of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29925, 29899, 29869, 29835, 29797?\nAnswer: 29755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(128) + 0))**2 - ((sqrt(64) - (sqrt(64) + sqrt(64) + sqrt(64)*-1)) + sqrt(64))\/sqrt(8))*5.\nAnswer: -10*sqrt(2) + 2560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 16*r - 216 = -4*x, -8 = 4*x. Solve -5*i = -5*p - 50, -i - 2*p - 61 + r = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zitszztizs. Give prob of sequence zi.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36006 by 1.\nAnswer: 36006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by (-609)\/(-18) - 3\/((-126)\/7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14947023?\nAnswer: 3, 7, 13, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-32))\/(3*3\/(-1746)) is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -245 - -265. Let g(w) = 2*w - 6. Let l be g(5). Suppose l*a - x = 28, -a + 2*a - 2*x = 0. Solve -3*f = 5*z - y, 2*z - 5*f + a + 15 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*o - 1189 - 5735 = -170*o + 3412 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -2, 2, 1, -5 in decreasing order.\nAnswer: 2, 1, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.2295041 and -123.16?\nAnswer: 121.9304959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c**(-2\/17)\/c)\/c)\/c)\/(c\/(c*c**(8\/9))))\/((c*c**(-4\/7))\/(c*c*c**(-4\/13)*c*c*c)) assuming c is positive.\nAnswer: c**(56179\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2. Let z = 8231\/3 + -2743. Let v(p) be the first derivative of 0*p**2 + 0*p - z*p**3 + 17. Give n(v(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 3*f = 295, -28082*f = 5*p - 28080*f - 195 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16069 = -4*q + 25969, -3*q + 3*n = -31551. What is the highest common factor of 72 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 - -0.05. Let r = -11 - -19. Let s = -31\/4 + r. Which is the closest to x? (a) 2 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1211311)\/(-2933)*4\/252. Let n = y - -2\/20531. Find the common denominator of 0 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 f, and 1 s when three letters picked without replacement from {y: 11, i: 5, s: 1, f: 3}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 62 = -4*r, -3*r = -3*i - 0*r + 21. Let y be (-4 - -5)\/(2\/i). Let k(n) = n**2 - 2*n - 5. Calculate k(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601955 is divided by 1413.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -601.8138 - -583.8138118. Let n = -20 + 38. Let j = b + n. What is j rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52598 - 30189. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 192*m + 15748 = 0 for m.\nAnswer: -254, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, -6, 0.2 in decreasing order.\nAnswer: 3\/4, 0.3, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/47 and -8\/3.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 50913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3894 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 11*q - 11. Let z be (-1395)\/105 + (-4)\/(-14). Let a be o(z). What is a rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4938594857?\nAnswer: 7, 67, 1213, 8681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -154 - -152. Let d be a + -7 - -5 - -6*1. Let k = 16 - 8. Solve -5*x + 20 = 2*f, 2*f = -d*f + 2*x - k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let v(o) = -3 + 22*o - 10*o - o**2 - 15*o. Let y(n) = -n - 1. Let g(p) = v(p) - 3*y(p). Give z(g(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wrwrrrwrwrrwrr?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 l when three letters picked without replacement from {y: 5, e: 1, f: 3, l: 2, w: 6, o: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**9\/3024 + l**5\/40 + 2*l**3\/3 - l**2. Let f(t) be the first derivative of j(t). Find the second derivative of f(k) wrt k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*6\/(-10) - 7. Let d be v + 6 - (-30)\/(2\/1). Calculate the greatest common factor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -w - 0*t + 24, w + 8 = -3*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j*j*j**3)\/j)\/((j*j**(-11))\/j))\/(j\/(j\/(j**9*j))*j**6) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1822 - 1816)\/(((-2)\/(-3))\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y + 2*y. Suppose 0 = -y*f + 5*s + 70, 2*s = f + 6*s - 9. Let w = 2 + 3. Solve -w*a + 3*k = -2*k + f, -5*a - 22 = -2*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) - 21\/60.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w - 344*w - 2969 = -498 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 9*a + 15. Let b be f(-8). Suppose -16 = b*d - 44. Solve c - 3*i = 8, d*i + 2 + 4 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -140*x - 1. Let m be q(-1). Suppose j = -i - 4*i + m, -i + 31 = -3*j. Solve -i = -4*t - 32 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -402 - -275. Let g = j + 123. Which is the closest to -0.1? (a) g (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 26 = -4*j, 142*f - 97 = 144*f + 21*j + 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -150, -224?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/3*y - 8 - 4\/3*y**2 = 0. What is y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096 + 26829 + 1823 = 2479*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/426 and 59\/1376.\nAnswer: 293088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + 36 + -9 + (20 - 26)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -12*y + 19. Let d be 344\/(-12) + y\/3. Let i = -20 - d. Let g(x) = x**2 - 9*x - 7. Give g(i).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3117*0.06.\nAnswer: -0.138702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 - (-1 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 33204 = -3*m, -3*m = -h - 12136 - 21056. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 7020?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0*y + y)*((2 + 1 - 1)*(-2 + 1 + 3) + 1 - 3 + 3 - 5 + 2 + 2 - 15 + 155 - 64).\nAnswer: 160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + 17\/(-5))*50\/(-5). Let f be (136\/51)\/(p\/6). Suppose f*o + 2*t - 258 = 0, 6*t = -o + 5*t + 64. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 + 82. Let t(x) = -2*x**3 + 8*x**2 - 2*x + 8. Let n be t(a). Let q = n - -272. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 95 + 595 = 0. Let x = 159 - w. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/((-3 - 11)\/7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -6 (c) 2\/39 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -413051\/13860 - -1357\/45. Let s = f - 3\/44. Let t(m) = -67*m - 342. Let d be t(-5). Sort s, -1, d in increasing order.\nAnswer: d, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86064861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20401320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, k: 7}. What is prob of picking 2 w and 1 k?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 15635.411596 to the nearest integer.\nAnswer: 15635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -170030.\nAnswer: -1\/85015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 1618 - 1639 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 + 3*g - 1. Let m(n) = -n**3 + n**2 + n - 1. Let c(o) = -j(o) + 2*m(o). Let i be c(-2). Suppose 21 = i*v - 149. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-17 + 9 - -13) + (-55 - -26)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 6. Let j be c(-8). Suppose 1 = -w - j, 5*w + 8 = -l. Let k be -1 - 1 - (1 - l). Solve 0 = 5*d - 3*t + t + 10, 2*t + k = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 184*y**2 + 172*y - 360 = 0. Calculate y.\nAnswer: -45, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -100003 (base 4) in base 8?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 0.9. Let a = -0.02 - 2.98. Let u = -140 - -142. What is the nearest to q in a, 2\/3, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 6)*(-4 + 3 + 2 + 2*s)*(-2*s + 2*s + 3*s**2) + s**3 - 3*s**3 + s**3 to k*s**3 + c*s + v*s**2 + g and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtnt. What is prob of sequence th?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 767b (base 13) to base 7.\nAnswer: 66043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777175 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935560101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -98141886.6 rounded to the nearest 1000?\nAnswer: -98142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3232 - 3234. Sort -18, 2, d.\nAnswer: -18, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -76. Let r be 182\/143 + d\/(-2). Let k = 391\/220 + r. Calculate the common denominator of k and -9\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 238790 = 5*b, -6*p + 47755 = b - 4*p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4168*s**3 + 167*s**2 - 12 wrt s?\nAnswer: -25008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(55)\/sqrt(5) + sqrt(22)\/sqrt(2)*-5.\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -46*l + 52. Let c be b(1). Suppose 0 = 5*o + 4*d - 8700, 3*o = c*o + 5*d - 5220. List the prime factors of o.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**3*v - 2*k**3 - 745*k**2 + 11991*v - 25 wrt v.\nAnswer: -8*k**3 + 11991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*47\/188?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b6b (base 13) in base 4?\nAnswer: -1000301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxf when three letters picked without replacement from {x: 2, k: 1, j: 2, b: 1, f: 1, v: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let b(y) = 4*y + 15. Let i(o) = b(o) + 5*n(o). Give i(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13480*a - 3588*a**3 + 26961*a - 13481*a)*(1 + 1 - 1).\nAnswer: -3588*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**7\/7 - 2*f**6\/3 + 21*f**3 + 31. What is the third derivative of x(z) wrt z?\nAnswer: -120*z**3 - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.366547 centuries?\nAnswer: 4039.8564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -20\/666617 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(16\/5)\/o))\/(o*o\/o**(1\/9)*o) assuming o is positive.\nAnswer: o**(-184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 8, -5*k - 6*t = -4*t + 9. Is (-81)\/k - 4\/(-4) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*z + 151 + 150 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114698653 and -0.06.\nAnswer: -6881919.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 103 = 4*y, 5*g = -y + g + 52. What is the remainder when 157 is divided by y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*y + 121*y + 380 = 4*f, 0 = -2*f + 2*y + 172. Calculate the greatest common factor of f and 1518.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - 25. Let r = l - 7. What is the remainder when 29 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22602 + 12293 = -2910*c - 5845 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/7)*i**(-9))\/((((i**(-4\/5)\/i*i)\/i)\/i)\/i**(-1))*i**6\/i*i*i**(-4\/7)*i*(i\/i**(-3\/5))\/i*i*i\/i**(3\/4) assuming i is positive.\nAnswer: i**(271\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -10*r**4 - 32*r**3 - 24*r**2 = 0.\nAnswer: -2, -6\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, -0.3, -0.0393 in ascending order.\nAnswer: -0.3, -0.0393, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - d + 1)*(-1 + 1 + 12)*(4 - 2 + 1)*(-7 - 2 + 3)*(1 - 4 + 2).\nAnswer: -216*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**5 + 5417416*w**4 + 1222835391686*w**3 - 6521901317956*w**2 + 9375282014440*w - 2445728569392 = 0. What is w?\nAnswer: -451454, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 1. Let f be r(3). Let n = 67 - 79. Let k = f - n. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -438*w**4 - 100*w**3 - 15*w + 208*w**3 - 7*w - 108*w**3 wrt w.\nAnswer: -5256*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d - 200. Give i(21).\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -183 + 160 + 40 + 0 - 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53708 is divided by 17827.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*v - 19*v + 19*v**2 - 15*v + 60*v**2 - 16*v as r + y*v**2 + i*v and give y.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27221000*n**4 + 4990636?\nAnswer: 108884000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1005, 2018, 3035, 4056, 5081?\n\"Answer: 2*y**2 + 1007*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440249 + 7*g**2 - 520085 - 8*g**2 - 401555 - 2334*g = 0.\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 34. Let l be a(-5). Suppose -2*p + 40 = 3*p. Suppose v = 3*v + p. Sort 4\/5, v, l.\nAnswer: v, 4\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 657957905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3120 + -2936.3. Let p = u + -183.71147. Round p to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 582*l + 17461. What is k(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 19*z**2\/2 - 10*z - 2. Suppose 7*u - 18 = -k + 4*u, 4*u = 12. Is a(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 2068.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5584 + -5560. Calculate the least common multiple of b and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 15*i + 12 = 0. Let b be 2\/(1 + (-2)\/i). Does 17 divide -2*(-3 + b + -34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgmuummmmzmmzk. Give prob of sequence zm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7062 and 46134.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9985.\nAnswer: 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-1276)\/(-165))\/(-29))\/(-5*(-24)\/100)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - f - 7. Let a be w(5). Suppose -3*c + 4 + a = 0. Suppose 0 = -2*u + c + 24. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(5 - 2) + 3. Let y(w) = 30*w + 3. Let o be y(s). What is the units digit of 3*(-3)\/o*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -0.3, 0.51, 6051\/5, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -71*w + 30*w**2 - 5*w - 8*w**3 + 6*w**3 - 96 + 58 + 86 = 0.\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.01 - 0.01. Sort 0.4, 1, f.\nAnswer: 0.4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 161. Which is smaller: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*r + 180, 0 = 32*v - 35*v - r + 122. Calculate the lowest common multiple of v and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9823 and 4465.\nAnswer: 49115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 9141 + 500. Let z = 155627\/18 - y. Calculate the common denominator of z and 9\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -808825218 divided by -47577954\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exix when four letters picked without replacement from dddvdxvdiedx.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36433903 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 47*g. Let t be j(-47). Suppose -1\/2*r**3 + 1\/2*r + 0 + t*r**2 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -669 - -704. What is the highest common divisor of 2940 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 + 3*p**2 - 18129862*p + 917910685 with respect to p.\nAnswer: -6*p**2 + 6*p - 18129862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (8 + 4 + -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -5*m - 5*m**2 + 0 - 2\/3*m**3. What is the tens digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -1, 43, -0.5, -0.4 in descending order.\nAnswer: 43, -1\/6, -0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + 7*c + 32. What is the units digit of u(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d + 225?\nAnswer: 1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 371.6 (b) 0.4 (c) -1\/8 (d) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.4857? (a) 3\/2 (b) -44 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56259 + -9536. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17352, 17354, 17356, 17358, 17360?\n\"Answer: 2*g + 17350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 4*t**2 + 16*t + 30. Calculate the lowest common multiple of 184 and r(-6).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 7*w**3\/6 - 25*w**2\/2 - 12*w. Let i(a) = -a**2 + 11. Let h be i(0). What is the tens digit of g(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(35) - 2*sqrt(4235)))\/(sqrt(5)*1*1*-2) + 0)**2*4.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 11063287 and 5470875.\nAnswer: 16534162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 8 = -25*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10235 + -351205?\nAnswer: -401444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65698 and 12.\nAnswer: 394188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 25*h + 1422 = 28*h, -s - 5*h + 302 = 0. Let p(k) = -2*k + 2. Let j be p(-5). What is the greatest common factor of s and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*f - 186*f + 5496 = 128*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5482 and 5480 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**8)\/y)\/(y\/(y*y\/(y*y*y**(4\/5)\/y*y))))**(2\/7) assuming y is positive.\nAnswer: y**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 719569, 2878304, 6476199, 11513254, 17989469, 25904844, 35259379?\n\"Answer: 719580*p**2 - 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 1336600?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 19 + 32)*(24*s - 319*s - 161*s).\nAnswer: -10032*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97*w + 84*w + 52 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7160\/140*238\/(-136) + 56\/(-16).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -19913*s. Let l(r) = 4*r. What is l(p(a))?\nAnswer: -79652*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 8*p**3 - 2*p**3 - p**2)*(6*p - p - 4*p).\nAnswer: 6*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 20. Let f = r - -11. Suppose -4*j = -4*q + 36, 70 = 5*q + 3*j - f. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57319799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 2 j when four letters picked without replacement from {j: 2, r: 9, e: 4, s: 4, q: 1}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = z + 24255, j + 3*z + 2794 - 10869 = 0. List the prime factors of j.\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/720)\/((-15)\/(-9))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v + 4. Let x be q(4). Suppose -2*p + 13 = n - 2*n, n = 3. Let b = x + p. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 521*f**2 - 3598*f = 0.\nAnswer: -514, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Let o be 2\/(2 - 6\/s). Let a = o - -1. Solve 0*b + b - 5*q + a = 0, -3*b = 3*q - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 64\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2079*n**4 + 3288 wrt n.\nAnswer: -8316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*y**2 + 0*y + 0*y - 23*y**2 to u*y**2 + w + v*y and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**0\/p)*p)**(-4\/39))**(-21\/8) assuming p is positive.\nAnswer: p**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 8681?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 3 (c) 0 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/(b**(-5\/2)*b))**(-5\/2) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - t + 2)*(1616 - 109*t**2 + 44*t**2 - 1617).\nAnswer: 65*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxxnndnknxx. What is prob of picking 1 x and 1 d?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/19 (b) -4 (c) -2372 (d) -0.3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -60 - 72) + (-4 - (-1 + -1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + (sqrt(162) - (sqrt(162) + -1 + sqrt(162) - sqrt(162))))**2*2 - (-3*(sqrt(162) + 0))**2)*-3.\nAnswer: -108*sqrt(2) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 320213203 (base 4) to base 13\nAnswer: 81730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 103*s**2. Let q(a) be the third derivative of -a**7\/1260 - 17*a**4\/3 - 8*a**2 + 5. Let v(l) be the second derivative of q(l). Calculate g(v(r)).\nAnswer: 412*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16647260455.8203 - -8?\nAnswer: -16647260447.8203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -506?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1454, 11327, 38036, 89999, 175634, 303359, 481592, 718751?\nAnswer: 1023254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 30*x**2 + 53*x\/4 + 3\/4 = 0.\nAnswer: -3\/8, -1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3725*x + 603*x = 2146*x - 226885 + 21433 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1812 = -7*y - 414, -793 = -4*y - 3*j. Which is greater: 188 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcqc when four letters picked without replacement from qqcqcqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m + 4. Let c be t(4). Let u(r) = -r + 4. Let q be u(c). Suppose -2*h + 18 = -n, -8 = q*n - 0*n. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = s + 2*w, 4*s - 91 = 3*w - 0*w. Suppose -s = -n + 22. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2. Let t(v) = -4*v - 2. Let d(i) = -9*i - 5. Let h(x) = 2*d(x) - 5*t(x). What is h(z(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 3*z**5\/20 - 4*z**2 - 6*z. Differentiate f(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 30. Let s be (1\/2)\/((-332)\/(-112) + -3). Let b be w(s). Let d(o) = 7*o**b + 13*o - 13*o. Let z(f) = -2*f**2. Determine d(z(n)).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((-28 - -24) + -21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, e: 13, z: 1, y: 1}. What is prob of picking 1 e and 1 y?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 - -160. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 519*f**3 - f**2 + 3*f - 3. Determine a(1).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96610831 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -777000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y + 3*m, 0 = -2*m. Suppose 0 = -y*a - 4*a + 104. Let q(x) = -x**2 + 18*x - 10. Let b be q(17). Solve 0 = -4*o - 3*r - 10 + a, -b = 5*o - 3*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**6\/420 - 4*f**5\/105 - 13*f**4\/84 - 2*f**3\/7 - 25*f**2 - 5*f. Let u(q) = 0. Calculate q.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0 + 1\/6*q**5 - q**2 + 1\/24*q**4 + 0*q**3 + 0*q. What is the units digit of a(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(300) + sqrt(300)*1 + -5 - sqrt(300)) + 6*(sqrt(300) + 0) + 1*(-3*(sqrt(300) + 0) - sqrt(300)))*2 + -3 + -2)**2.\nAnswer: -1320*sqrt(3) + 10921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 - 29*p\/2 + 846 = 0. What is p?\nAnswer: -94, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 j, and 1 y when four letters picked without replacement from {w: 4, j: 5, y: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 34 - 174. Suppose 3*n - 38 - q = 0. What is the least common multiple of 10 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -353, -326, 717, 3286, 7891, 15042?\n\"Answer: 85*y**3 - 2*y**2 - 562*y + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (2 - 4 + 0)*(0 + 2 + 0))*(-2*d**2 + d - d - d + d + 2*d**2 + (-7*d**2 - 9*d**2 + 20*d**2)*(5 - 3 - 4)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 - 2*w**3 + w**2 + w. Let p be i(-10). Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**3 + 3*c**2 - 3*c - 2. Suppose 0 = 8*p - 5*p + 6. What is the remainder when j(3) is divided by ((-20)\/50)\/(p\/85)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -7 - 13. Let j be (-3)\/r*(-2)\/6. Let p = -2\/7 - -13\/21. What is the closest to p in -0.5, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 13035.\nAnswer: 31\/13035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*r**2 + 2\/17*r**4 + 0 + 2\/17*r**3 - 2\/17*r.\nAnswer: 2*r*(r - 1)*(r + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-10*p - 64 + 64) + 68*p + 91*p + 36*p.\nAnswer: 205*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 588259.4 seconds in nanoseconds?\nAnswer: 588259400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, l: 2, s: 4}. Give prob of picking 1 n and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 182 = 29*d. Let x(k) = -69*k + 447. What is the units digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -108, -4 in ascending order.\nAnswer: -108, -20, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-4))\/(1 - (-773)\/(-774))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -739\/9120 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -37*j - 208. Determine w(10).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(5 + (sqrt(637) - ((sqrt(637) - -2*sqrt(637) - sqrt(637)) + sqrt(637)))*3)**2*-6 + 3.\nAnswer: -137739 + 2520*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3030041386 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c\/c**(2\/3)*c*c)**19)**(-28))**(-23))**(6\/31) assuming c is positive.\nAnswer: c**(391552\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699142?\nAnswer: 2, 17, 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 244*(-10)\/280.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 293922 and 54?\nAnswer: 293922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -304764 + 304764 + 9184*m to the form v + k*m and give k.\nAnswer: 9184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b - 5. Let p(n) = -n**2 - 4*n - 331. Determine -p(g) - 4*t(g).\nAnswer: -3*g**2 + 351","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -236d (base 14) in base 15?\nAnswer: -1c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15225 and 10257387.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**3\/3 + 15*p**2\/2 + 10*p - 1. Calculate the remainder when 97 is divided by h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, u: 1}. Give prob of sequence cc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16393604?\nAnswer: 2, 41, 99961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(((-5)\/2)\/((-6)\/(-4))). What is the smallest value in 3, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257056 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bub.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**3 - 17*s**2 - 9*s - 1918. Let b(y) = -2*y**2 - y + 4. Determine -9*b(w) + f(w).\nAnswer: -4*w**3 + w**2 - 1954","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1580216*l**2 - 7454303*l.\nAnswer: -3160432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1272704.1597 to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004970828 rounded to 7 dps?\nAnswer: 0.0004971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 (base 3) in base 6?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132200 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 b, and 1 g when four letters picked without replacement from rjhgbjff?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 - c. Let s(d) = -6*d**2 - d + 1. Let t(o) = 3*s(o) - 5*w(o). Let l(y) = -y**3 + 4*y**2 + 10*y + 16. Let r be l(6). Calculate t(r).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 503 and 155930.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 92 - 92.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*36\/2904*(2 + (-38)\/8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450583 is divided by 285?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -88 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/7*48*29\/5336.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 16. Let m be f\/4*(-4)\/(-3). Let c(i) = 0*i**m + 5*i - 2*i**2 + 0*i**2 + 3*i**2. Give c(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.1491178g?\nAnswer: 149117800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1526 + 7111. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69949*b - 69950*b + 349764*b - 69954*b - 69953*b - 69953*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10726*o + 6774. Let c(w) = 10726*w + 6813. Let x(n) = -9*c(n) + 8*m(n). Differentiate x(a) with respect to a.\nAnswer: -10726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1403, -3, 6, 5 in increasing order.\nAnswer: -3, 0, 5, 6, 1403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8332 - 8331. Let s = 185 - 105. Let u be s\/16 + -3 + l. Which is bigger: u or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6734 bigger than -6722?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1 + 1 + -2*sqrt(1584)*1 - ((1 + sqrt(1584))*-6 - -1*sqrt(1584)*-1))**2 + 0.\nAnswer: 672*sqrt(11) + 25393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = d + 29*a - 48*a + 24*a, -5*d + 19*a + 19 = 20*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142 and 5.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 42*j + 5. Let m be l(-10). Let s = m + -383. Solve -7*a + s*a + 3*w = 22, 3*w + 13 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - b**2 + 1. Let w be t(-1). Let q = 8 + w. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78512 or -78513?\nAnswer: -78513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61843 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416960 divided by 480?\nAnswer: 2952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -16*o - 14. Let g(l) = 17*l + 13. Let f(j) = -3*g(j) - 2*z(j). Suppose 6162 = 8*d + 138. Let x(h) = d*h + 2 + 4 - 743*h. What is -6*f(k) - 11*x(k)?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4\/13, 2\/3, -1\/10 in decreasing order.\nAnswer: 2\/3, -1\/10, -0.3, -4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 142 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081152 is divided by 319.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y. Let b(x) = -10*x + 6. Let g(f) = 5*f - 3. Let t(l) = -3*b(l) - 5*g(l). Let w(o) = 1 - 5 + 3 + 2. Let k(h) = -t(h) - 3*w(h). Give k(c(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3321 - 3316. Let o(w) = w + 4. Let b be o(-5). Let n be b\/1 + -7 + 8. Solve -t - m = 2*r, n = 3*r + t + 2 + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3218818, -6437638, -9656458?\nAnswer: -12875278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54180 is divided by 53575.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(1\/(-6)). Let u be 3\/(((-3)\/x)\/(-1)). What is the first derivative of -3 + 29*v**2 - 29*v**u + 7*v**3 wrt v?\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4479783)\/(-56) - (-77)\/88 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14230 is divided by 3557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3208347*z**3 - 2 - 1604177*z**3 - 1604174*z**3.\nAnswer: -4*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let g = 3 - k. Suppose -3*t + 4*t - 5 = 0. Solve g*p - 10 = t*a, 0 = a + 6*p - 2*p - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/9 - (-28)\/126 - 0. Let j be 18\/(-8) + (4\/1 - r). What is the nearest to -0.07 in j, -2\/5, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 8*h + 1. Let s(y) = 4*y**2 - 35*y - 4. Let p(l) = -9*k(l) - 2*s(l). What is p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.33 - 34. Let v = p - 1.23. Is -2 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(-1)*d)\/d)*d*d*d**(-4)\/d*d*d)\/(d**6\/d**(-7)) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1373 - 2125. Let g = n - -1309. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*h**2 - 739*h**2 + 1485*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0) + 1 + -2 - ((8 - 33) + -17)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -177\/4948?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*p**3*z + 2*k*p**3 - k*r**2 + k*r + 16*p**3*r**2*z + 4*p*r*z - 2*p*z - r**2*z wrt r.\nAnswer: -2*k + 32*p**3*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 22, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11215485366.03 and -138?\nAnswer: 11215485228.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**2 + 8*m**2 + 2*m - 2*m to n*m**2 + z + h*m and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.1 (c) 1\/11 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2b94?\nAnswer: -2b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160169 is divided by 14537.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-1 - -3) + -4. Suppose d*k + 23 = 3*q - 1, 2*q - 2*k - 14 = 0. Suppose -4*m - 8 - q = 0. Which is bigger: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-11)\/985787*2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92535 - 62535. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3\/3148, 1\/6, 9, 2\/87 in decreasing order.\nAnswer: 9, 1\/6, 2\/87, 3\/3148, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(180)*2 + sqrt(45))\/(-3*sqrt(225)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359738482*i**2 - 597352118 wrt i?\nAnswer: 719476964*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - 46306651?\nAnswer: -46306692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let w(c) = 4*c - 68. Calculate j(w(b)).\nAnswer: 8*b - 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 7*m**3\/3 + 4*m**2 + 18*m - 3. Suppose 0 = -8*l + 73 + 15. Is b(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/436 and 49\/22?\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -402.486464 rounded to one dp?\nAnswer: -402.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b + 9*b - 6*b as w*b + d and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2\/3 (c) -62 (d) -1\/9 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46408545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Suppose -i*r + 4*h - 8 = -r, 2*r = -2*h + 18. Suppose r*z - 32 = -0*z. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-2058))\/((-205)\/(-1435)))\/((-2)\/(-4))\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/60*70\/(-42)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 23*f**2 + 145*f + 153. Determine g(-28).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1979 + -9897\/5. Suppose 9*y - 18 = -9*y. Let c be 10\/66 - 1\/3. What is the closest to y in h, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 22906.11s?\nAnswer: 22906110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139 - -141. Suppose 0 = -j - p + 88. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d4d7 (base 16) in base 7?\nAnswer: -4235216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -0.6. Let n = w + -13. Let p = n - -12.000033. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + l - 125 = 0, 5*l - 29 = -4. Suppose -4*u + 192 = -0*u. Let h = u - b. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 28*a. Let g be (-2)\/15*-3 - (-92)\/20. Suppose 10 = s + 5*f, 0 = -4*s + 3*s + g*f. Let o(c) = 9*c. What is s*i(r) - 16*o(r)?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 3*f)*(f + 2 + f - 4*f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010921 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 6. Let a be ((-26)\/78)\/((-2)\/(-12)). What is the lowest common multiple of 78 and c(a)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b9 - -176?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 186.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20212 - -110?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**2*x*x)\/(x**(-1)*x))**(12\/5)*x*x**3*x*x**0*x*(x*x*x**(2\/9)\/x*x)\/(x*x**5) assuming x is positive.\nAnswer: x**(748\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203 (base 7) in base 11?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.5 + -1145.\nAnswer: -1096.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*r)*(-7*r - 9*r**2 + 7*r) + (3*r + r - 6*r)*(-r**2 + 4*r**2 - r**2) + 3*r**2 + 2*r**3 - 3*r**2.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -0. Let h = -0.1 + 0. Let a be (-4 - 2) + (-45)\/(-10). What is the closest to -0.2 in x, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 - 2*v + 4. Let g be x(-4). Suppose 0*m + 5*m - 135 = 0. Let c = m + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*s - 24, 0 = -4*w + 3*s - 9 + 36. Suppose 3*n = -19*u + 16*u + 6, -w*n + 8 = 2*u. Which is the nearest to 0.1? (a) 0 (b) 2 (c) u (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1266567, 6, 4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -0.4, -1\/4, -0.5989 in ascending order.\nAnswer: -4, -3, -0.5989, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40602 and 8787?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*2*1)**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 18. Suppose 3*v - p*q + 3*q = 7, 2*v + q - 3 = 0. Suppose -v*c = 2 - 14. Solve -t - 12 = -4*r, 2*t - c*r + 4 = -5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*t - 6, -2*t = 4*f - t - 3. Suppose f = 2*k - k - 4. Suppose 3*u + 5 = 4*o + k*u, 0 = 4*o + 3*u - 15. Is 1\/4 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 22.08623 millilitres?\nAnswer: 0.02208623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 8 (c) 3 (d) -9 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2\/21*p**6 - 24\/7*p**4 + 0*p + 0*p**5 - 96\/7*p**2 - 116 + 256\/21*p**3. Factor c(q).\nAnswer: 4*q*(q - 2)**3*(q + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8635 + 14401. Suppose -4*p + 5604 = -l, 0 = 3*p - 5*l + 1580 - z. List the prime factors of p.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 v, and 1 d when four letters picked without replacement from vddvodb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 13*i = -5. Solve -i*a + 22 + 3 = 4*w, -w - 15 = -3*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(0*b - b + 3*b) + 2*b + 3*b - 7*b)*(775*b - 21672 + 21672 + (-2*b + 2*b + b)*(1 - 1 - 2) - 5*b + 0*b + 3*b - b + 2 + b - 6*b).\nAnswer: -3060*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 1644\/(-96)) + 2\/(-16) - 80\/(-10)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4857 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -967.\nAnswer: -3868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)*h**6\/h)**(-26\/7))**(-2\/11) assuming h is positive.\nAnswer: h**(2236\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 69 - 2)*(-6 + 7 + 6)*(5*m + 0*m - m).\nAnswer: -1484*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2525)\/(-2020))\/((-2)\/(-32)*310)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175929.\nAnswer: 19, 59, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16014966*f*s**2 - 2*f*s + 95919164*f + 2*s wrt s?\nAnswer: 32029932*f*s - 2*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 1866361879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39546?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3407852 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001568289256 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:24 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37863429 to the power of 1\/3, to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let p(k) = k**2 + 2*k. Let r(h) be the third derivative of h**5\/15 + 11*h**4\/24 - 10*h**2. Let l(t) = 11*p(t) - 2*r(t). What is l(g(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xwwxxwxxxwx?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159081429?\nAnswer: 3, 13, 31, 131581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859389.\nAnswer: 13, 219953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -5. Let z be 68\/8*(-16)\/x. Suppose u = 5*k + 17, 0 = 4*u - 5*k - 27 - 41. What is the greatest common factor of z and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 4:41 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/4 of a gram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 28*q**2 + 24*q + 86. Let a be c(27). Suppose -v = -4*k + 20, 0 = -0*k - k - a*v + 26. Solve 4*m - 3*b = -26, -k = 3*m + 4*b + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -4, -5 in decreasing order.\nAnswer: -4, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 16152, -2, 3 in increasing order.\nAnswer: -2, 3, 16152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0156 less than -51198329?\nAnswer: -51198329.0156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}