diff --git "a/data/dm_maths/full_data_1/10794_11255.jsonl" "b/data/dm_maths/full_data_1/10794_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10794_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve -4*x - 3 = v, 32537*v - 32542*v - 15 = -7*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0227433 - -6286.011?\nAnswer: 6285.9882567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/408 and -89\/80.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4014?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -752819 and 9.\nAnswer: -752810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*n + 97*n - 14057 + 26279 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.078228 (b) -0.5 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 6047.59\nAnswer: 36285.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185963269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002458775237 rounded to seven dps?\nAnswer: -0.0000246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 14*s - 6. Let h(a) = -a - 1. Let f(w) = -6*h(w) + i(w). Let n(p) = 22 + 3*p - 59 + 18 + 19. Determine n(f(b)).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c. Suppose -6 = -5*k + 14, -5*z + 4*k + 1244 = c. Suppose 2*l - 5*t = l + 8, l = 2*t + 20. Calculate the greatest common factor of l and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/5, -0.4, -5, -2575?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/35*(31146\/16)\/3. Let y = c + -2193\/4. What is the common denominator of y and ((-99)\/(-84))\/(3\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -26, -65, -140, -263?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 29*c**2\/2 - 5. Let g(j) be the second derivative of -j**3\/2 + 4191*j. Determine s(g(m)).\nAnswer: -87*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, -0.01, -105, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 17. Let k = 17 + a. Let l = k - 19. What is the remainder when 31 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1988292161 and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 189273.\nAnswer: -189273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 2*j. Let v(b) = 430*b. Calculate v(y(h)).\nAnswer: -1290*h**2 - 860*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 35*u - 273. Give m(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-24)*-16)\/(20\/(-35))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22333 (base 5) to base 14\nAnswer: 81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -9 + 5\/3*t**3 + t - t**2. Suppose 4*m - 5 = -1. Determine i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1886 divide 18335692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/1285 - -1341\/8995. Sort o, 1.56, 0.5 in decreasing order.\nAnswer: 1.56, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5403 - -9735. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 1582 - 1582 + 3164.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 80*r - 3 - 21*r.\nAnswer: 59*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67472177, -67472175, -67472173, -67472171?\n\"Answer: 2*p - 67472179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - (-3 + (18 - 23) - -48) - 1.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*h + 25 = 0, 23 - 17 = -x - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3442, 3633, 3838, 4063, 4314?\n\"Answer: o**3 + o**2 + 181*o + 3259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -740 + 1154. Suppose 0 = 4*y - 2*t + 4*t - k, -5*t + 25 = 0. Suppose -3*m + 67 = -y. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4*u)**(-6\/7)\/(u**(-10)\/u**10) assuming u is positive.\nAnswer: u**(110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 0. Let q = 12357 + -12366. Let x be q + 6 - (-4 + f). Is x >= -3\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1.5957.\nAnswer: -0.4043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210 (base 4) to base 13.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100 - 3320701272.\nAnswer: -3320701372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -422721246.9 - 2.514.\nAnswer: -422721249.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 5*v**2 + v - 6. Determine y(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 10726436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/32 and (-1*6\/100)\/((-1188)\/(-37290)).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/120 + v**4\/3 - v**3\/3 - 45*v. Let c(w) be the second derivative of y(w). Determine c(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 3, j: 1, v: 1, h: 3, n: 1}. Give prob of sequence vs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.23 in -0.1, 1, -1883?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 19. Suppose -4*i + 537 = -3*c - b, 4*i - 580 = -2*c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 + 26*w**2\/5 + 17*w\/5 - 46\/5.\nAnswer: (w - 1)*(w + 2)*(3*w + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 56*w**2 + 726*w - 32. What is i(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 14 - 5*q + 18*q - 35.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 682 = 64*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - ((sqrt(11) + sqrt(11)*-2)**2 + 0) - 2*(sqrt(11) + 0 - sqrt(11)).\nAnswer: -11 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1215336 rounded to three dps?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*l - 120*l + 68*l as x + a*l and give a.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**4 - d**2 - d - 1. Let w(n) = 2*n**4 + 6*n**2 + 5*n + 28. Let i(r) = 10*t(r) + 2*w(r). Find the first derivative of i(k) wrt k.\nAnswer: 56*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 14619*r**3 + 465504*r**2 - 3717888*r.\nAnswer: 3*r*(r - 4841)*(r - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1486 - -17819\/12. What is the common denominator of z and (-36)\/(-84) - (-1508)\/336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 - 6*i**3 + 15*i**3 - 2*i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -y - 19, 4*y = 17 - 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3396*i**2 + 1134*i**2 + 1128*i**2 + 1148*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66422 - -437839. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120220103 (base 4) to base 3\nAnswer: 12010101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 10 = 13*o. Let f be (-898)\/(-4) + o\/(-4). Suppose 12*a = 7*a + f. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1368 + -0.3632. What is the closest to 0.2 in -5, 19\/4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3 + -10924*(-1)\/4 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 3*p + 4. Suppose 20 = -25*h + 35*h. Let y(c) = -5*c + 7 + 0*c**h + 5*c**2 + 3*c**2 - 3*c**2. Suppose -2*v = v + 12. Give v*y(s) + 7*n(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*g**3*n - 2*g**3 + 3*g*n - 292*g + 2*n + 5 wrt n?\nAnswer: 118*g**3 + 3*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 11*o**5\/20 + 40*o**3\/3 + 34*o**2 - 3. Differentiate v(f) with respect to f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 = -117*r + 5572 - 250. What is the highest common factor of r and 776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84287*j**3 + 28158*j**3 + 28200*j**3 + 28075*j**3.\nAnswer: 146*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 0*y. Let s = 5 + y. Let k(w) = w**3 - 12*w**2 + 2. Let p be k(12). Calculate the greatest common factor of p and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**6\/120 - s**5\/30 - s**4\/8 - 215*s**2. Factor a(h).\nAnswer: h*(h - 3)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7077 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*h = 4*t - 26, -4*t - 5*h + 28 = 0. Let o = -2.6 - -3. Which is the nearest to 1? (a) -5 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -628 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 + (-266)\/126. Let t = -0.36 - 0.04. Which is the third smallest value? (a) t (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -133262, -533057, -1199382, -2132237, -3331622?\n\"Answer: -133265*p**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24191 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (38 - 4) + 1 + -19?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -33*f - 55*f**2 + 37*f**2 - f**3 + 8 - 24. Let p be i(-16). Suppose p = 3*m - 0*m - 60. Is m less than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/111 and -125\/5679432?\nAnswer: 210138984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -53\/2. Suppose 0 = -4*o + d + 20, o + 3*o = 4*d + 8. Suppose -12 = o*j - 2*j. Which is the closest to k? (a) j (b) 0.2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 99.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 + 3*q + 3. Let p(t) be the second derivative of -t**5\/20 + t**3\/3 + t**2 - 15*t. Calculate -2*o(c) + 3*p(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9131 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 36 = -4. Let k be ((-12)\/16)\/((-4)\/n). Suppose 0 = -w + k, 18 = 5*h + w - 0*w. Are h and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h**4)\/h*(h\/((h*h**26\/h)\/h*h))\/h)\/(h**23*(h\/(h\/h**(-10\/3)))\/h) assuming h is positive.\nAnswer: h**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -164. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -172, -194, -226, -268?\n\"Answer: -5*d**2 - 7*d - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 - 9 = 2*y, -2*y = 5*h - 50. Let x(v) = 3*v - 1. Let c be x(h). Let o = c - 9. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 57 - 57)*(663*g - 69*g**2 - 663*g) as h*g**2 + s + c*g + i*g**3 and give i.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(11 - 20) + 1*(-3 - 20). Let g(d) = -2*d**2 - 21*d - 27. Calculate g(b).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-8) + (-3)\/6. What is the nearest to h in 1\/6, -1, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 3*c**2 - 4*c + 2. Let f be n(4). Let o be (-3 + -64466 + f)*-1. Let w = 36533 + o. What is w rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 0*j - 4*j + (-20 - 8*j + 20)*(2 + 3 - 3)*(2 - 1 + 0) to the form m*j + c and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.65 - -58.2. Let g = y + -59. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6762462, 6762607, 6762752, 6762897, 6763042, 6763187?\nAnswer: 6763332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-41)\/2)\/((-2)\/4). Suppose 0 = -4*t + p + 57, -5*t = -2*t + p - w. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 75 = 2*h - 29, 2*b + 2*h - 54 = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let f(g) = -1128*g**2. Give f(b(h)).\nAnswer: -4512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1111*t**2 - 3874 wrt t?\nAnswer: 2222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 199837 and 370?\nAnswer: 1998370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1175013361805.000000457 + -1175013361214. Let p = -591 + g. What is p rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1746548 days to seconds.\nAnswer: 15090.17472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 25 = -2*z + 5*r, -3*r - 15 = 3*z. Suppose 0 = -2*t + m - 5*m + 18, z = -4*t - m + 15. Sort 5, -4, t in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 5. Let c(k) = 14*k - 8. Let l(j) = 5*c(j) + 8*w(j). Let z(r) be the first derivative of -1\/2*r**2 + 1 + 0*r. Calculate z(l(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15343 is divided by 528.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - v**2 - 2*v)*(6*v - 4*v - v) + (-3*v**2 + 2*v**2 + 2*v**2)*(322*v + 233*v + 172*v) to p*v + s*v**3 + t + j*v**2 and give s.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -7 - -74) + 2. Calculate the highest common divisor of 175 and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from -517779.\nAnswer: -517801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v + 110. Let g be p(-16). Let m be -9 + (-4)\/(8\/g). Let -1\/2 + m*x + 1\/8*x**2 = 0. What is x?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 33 + 41 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -31*m**2 + 8*m - 5. Let t be g(5). Is t\/(-35) + 3\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.3 - 16285789841?\nAnswer: -16285789721.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -353 + 174 + 180 - 22*r. Let b(s) = 4*s**2 + 6*s. Let l(o) = -3*o**2 - 5*o. Let j(t) = 5*b(t) + 6*l(t). Determine j(f(h)).\nAnswer: 968*h**2 - 88*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/1926 and -121\/27606.\nAnswer: 82818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (168\/(-10))\/(38192\/(-6820)). Solve -9\/4*w + 1\/4*w**4 - 11\/4*w**2 + 5\/2 + 9\/4*w**g = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*2)\/sqrt(3))\/((-1*sqrt(8) - sqrt(8))*2).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 14*d - 12.\nAnswer: -2*(d - 2)*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*m**3 + 39*m**3 - 1 + 4*m + 3*m**4 + 3 as j*m**3 + n*m**4 + i*m + b + t*m**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -501 (base 9) in base 12?\nAnswer: -29a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*u - 3069, 5*t - 4217 = 5*u + 3443. Calculate the remainder when t is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5229 is divided by 105.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2178*h**2 - h - 910. Let f(o) = o**2. Calculate u(f(n)).\nAnswer: 2178*n**4 - n**2 - 910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1267)\/15566*(-16)\/(-28)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1472)\/(-352) - 4\/22. Suppose -2*s + 694 = 3*s - k, -n = -4*k. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 6026*k - 6022. Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5434615 + 1.5423. Round j to 5 dps.\nAnswer: -0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 11:24 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.8, 1\/2, 500, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**4\/4 + m**2\/2 + m + 4380. Let n(d) be the first derivative of -d**4\/4 - 5*d**2\/2 - 4*d - 2. What is -2*a(x) - n(x)?\nAnswer: -x**3 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*p - 10. Suppose -5*l = p*m - 5*m + 15, -2*m + 3 = -l. Suppose 18*w + m*w = 2*w. Solve w = 6*f - f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljxjljzxjcjxj. What is prob of sequence ljzl?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, k: 3, c: 1, z: 10}. What is prob of sequence vc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1848 + -168. What are the prime factors of z?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 3. List the prime factors of (-2 - -5) + d + 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2438161, -2438160, -2438159, -2438158, -2438157, -2438156?\nAnswer: -2438155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 9*g - 7. Let h be x(8). Let t be h - (0 + 1)*1. Which is smaller: t or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/72)\/(-5)*5\/(-35).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 5*b + b + 2*b**2 - 6 + 10 to m + n*b + g*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36400 and 658580.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 66807930?\nAnswer: -40084758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -931*m*n**5 + 9*m*n**2 + 2*n**5 + 17*n**2 + 1 wrt n?\nAnswer: -55860*m*n**2 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b - 4 = 65*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**6\/30 + 7*p**5\/120 + p**3\/3 + 5*p. Let q(k) be the second derivative of h(k). Find the second derivative of q(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*s + 560398*g + 478480*s wrt g?\nAnswer: s + 560398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17462 - 19839?\nAnswer: -37301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f + 3. Let o(v) be the first derivative of v + 112. Calculate 2*o(t) - w(t).\nAnswer: 12*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -5 (b) 2 (c) 0 (d) -2545\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8685.061ug?\nAnswer: 8685061","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 20. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 69456*w**2. Let v(n) = -5*n. Give v(q(z)).\nAnswer: -347280*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:01 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303320101 - 102?\nAnswer: -303320203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awawwawwawwa. What is prob of sequence aw?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 - 209. Let m be 6\/9 - a\/6. Suppose 3*y - 74 = -5*j, y - m = 3*j + 2. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -125*i**3 - 6755*i**2 + 6605*i + 275 = 0?\nAnswer: -55, -1\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 286*x**5 + 166*x**2 + 2 wrt x.\nAnswer: 17160*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -289643 divided by -2?\nAnswer: 289643\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/(-26) - (-6)\/(-39)) + 61. List the prime factors of ((-1)\/3)\/(v\/(-8142)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1070 - 115*d + 164*d - 50*d + 5227 to the form k*d + g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2. Let p(t) = -29 + t + 29. Determine p(a(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 347088 and 120.\nAnswer: 1735440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1931 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/308 and 20\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 10, e: 3}. Give prob of picking 2 u.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-8)\/2 - -3. Let x be 2 + (1 - -1*(-3)\/(-1)). Let d be (-80)\/(-130)*x\/8. Is l greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -50. Solve 1 = -z - 2*n, -4*z - 6*n = -n + o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 6, -54, -10, 1, -5 in decreasing order.\nAnswer: 6, 1, -5, -10, -38, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35709761161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 21. Let n(l) = 5*l - 7. Let g be n(z). Solve -4*u - 17 = 5*c, -3*c + 3*u = -u + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1. Let g(v) be the third derivative of v**4\/24 + 6*v**2 + 116. Give -3*g(z) + 2*r(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 471\/4 + -118. Let t = u - -3\/16. What is the common denominator of 1\/40 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 733\/182 + 4\/91. Let y = -13663\/2896 + 96\/181. Calculate the common denominator of a and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -25 (b) -19\/6 (c) 2 (d) -1\/6 (e) 4 (f) 17 (g) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 4*r - 5. Let o be y(4). Let z(d) = -9*d - 131. Let l be z(-14). Let c = o + l. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 572?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 6*u + 35 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 226*u**5 + 126099*u**3 + u**2 + 714951*u - 5.\nAnswer: 13560*u**2 + 756594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 3 (b) 5 (c) 2\/5 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -54 + 39 - (19 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:56 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1 (b) -9 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**10\/30240 - t**9\/7560 + t**7\/1260 + t**6\/720 - t**4\/6 + 3*t. Let v(d) be the third derivative of l(d). Factor v(a).\nAnswer: -a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*m**3 + 19*m**3 - 22*m**3.\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 13*o = 5, -291*y + 289*y - 5*o - 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(165) - sqrt(165)*1) + sqrt(165))\/sqrt(11))\/((sqrt(30)\/sqrt(6) + sqrt(5))*-6) + 4*sqrt(24)\/(sqrt(648)*1 - sqrt(8)) + 0)**2.\nAnswer: 25\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 12:27 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*i - 9 - 22, 5*k - 4*i - 50 = 0. Suppose 2*y = 5*y - k. Suppose -510 + 120 = -y*o - 3*f, 418 = 2*o - 4*f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 24. Let h be n(-5). Solve 0 = u - 2 + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4619*j**3*n + 226*j**2*n - j**2 + 2*j*n - n wrt j?\nAnswer: 27714*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*f + 945 + 290 = 0, 5*f + 733 = 3*b. Suppose 4*q - b = 286. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 95, 111, 143, 197?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 3:47 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a - 760 = 86*a - 152*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 91 - 26 = 5*m, -2*f = 2*m + 106. Let x = -49 - f. What is the third derivative of x*l**2 + 4*l**2 + 4*l**2 + l**2 + 13*l**4 wrt l?\nAnswer: 312*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 2, p: 4}. What is prob of picking 1 p and 1 o?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = -v, 5*i + 23 = 2*v + 4. Sort 4, i, 2.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -0. Suppose -b - 10 = 2*o. Let u be (1 - -2)\/(o\/(-4)). Solve -5*i + 3*f = -13, -5*i - u*f = -1 - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 244*u**2 - 495*u - 738.\nAnswer: (u - 3)*(u + 1)*(u + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2*t - 4*t)*(-50*t**2 + 4*t**2 - 14*t**2).\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 133. Let n be (1 - 4) + o\/1. What is the common denominator of -25\/2 and 110\/(-18) - (-12)\/n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14344.\nAnswer: 2, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:49 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/8*20\/(-6)*-2. What is the highest common factor of q and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/((-42)\/(-315)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 79804.51?\nAnswer: 31921.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + (-20)\/(-5). List the prime factors of l\/(-5)*60\/(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 8*r - 13. Let k be g(-5). Suppose 0 = -k*t + 2*z + 1 + 11, -5*t + 23 = 2*z. Suppose 26 = t*a - 74. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 132, 262, 410, 558?\n\"Answer: -3*z**3 + 36*z**2 + 7*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71713.18285385 + 72122.18286. Let i = 409 - n. Round i to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**3\/3 + 27*r**2\/2 + 25*r. Let k be o(14). Let q be (5\/k - -1)*2\/500. Is 0 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 + 102 = -23*g. Suppose 6*m = 12*m - g. Solve 5*x - 4*q = -0*q + 26, -m*q - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -15. Let r = t - -6. Let z = 13 - 7. Solve -r = -z*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21343 - 16020?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 27. What is the remainder when m is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:32 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 + -4.82. Which is the second biggest value? (a) -0.7 (b) 1\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 1 - 1)*(0 - 2*n + 0) - 12*n + 63 + 0*n**2 + n**2 - 65 - 98 - 19*n**2 + 2*n + 98.\nAnswer: -22*n**2 - 10*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.47*0.092.\nAnswer: 1.05524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 102\/(-15))*-5. Let f be (3\/42)\/((-6)\/g). What is the nearest to -1 in -1\/10, 0.4, f?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -597092 by 2.\nAnswer: -298546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(91)\/(sqrt(28)\/sqrt(4)))**2*-3.\nAnswer: -87 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 258979.2 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 3*y. Let x(r) = 5*r**2 + 4*r + 4. Let p(z) = 135*z**2 + 110*z + 110. Let q(i) = -2*p(i) + 55*x(i). Calculate q(t(c)).\nAnswer: 5*c**4 - 30*c**3 + 45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012210 + 2?\nAnswer: -1012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*k + 5*o - 17, 2 = -3*k + o. Suppose 4*h - 610 - 834 = k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/52 or -1?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -227, -341, -455, -569, -683?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -212, -221, -230?\n\"Answer: -9*w - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 - 67*f**2 + f - 2. Let u(r) = 6*r**3 - 135*r**2 + 2*r - 5. What is -2*u(x) + 5*v(x)?\nAnswer: 3*x**3 - 65*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1345557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - 6\/10 - -14. What is the greatest common factor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24017 is divided by 677?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 577 - 577.02. Suppose 130 = -31*h - 118. Sort z, -2\/15, h, 0 in descending order.\nAnswer: 0, z, -2\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 - 3*p**2 + 9*p + 9. Let g(q) be the second derivative of -q**3\/6 - q**2\/2 + 1979*q. Calculate f(m) + 9*g(m).\nAnswer: -6*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134437\/449880 + -161\/1304. Calculate the common denominator of h and -49\/1794.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(26)*-5 + sqrt(234)*-1 + sqrt(26))\/(sqrt(18)\/(sqrt(81)\/(sqrt(18)\/sqrt(2)))))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**6\/15 + w**4\/24 + w**3\/6 + 7*w**2. Let q be j(-1). Let o(f) = -2*f + 4. Let k be o(-2). Is k smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 23 = 5*c, c + 363*w - 364*w = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 25 = 34*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*z + 19*z - 15682 + 17110 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 4 = -2*b - h. What are the prime factors of -15*-2*b\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 6 = -15*x. Suppose 4*o - 4*w + 18 - 86 = 0, 2*w = x*o - 50. What is the greatest common divisor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/2)*n)\/n)**45\/(n**(-3\/2)*n**0))\/((n*n**1\/n)**(-22)*n**3*n*n\/(n\/n**0)*n) assuming n is positive.\nAnswer: n**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 6*s - 1296. Suppose -16*z + 120 = -s. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123 + 5*l**3 - 109 + 4*l**4 + l**4 - 4*l**4 + 3*l**2 + 245 in the form b*l**4 + x + c*l + i*l**3 + k*l**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**3 - 3*w**2 - 20*w - 52. What is z(-3)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/1*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-55))\/((42\/(-4))\/1 - (-4 + -7)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 40 - 5 = 0. What is the common denominator of (-22)\/24*(-308)\/(-22) and ((-59)\/y)\/((-24)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uaukauaaauaaakuuuu. What is prob of sequence uaa?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 12 = -2*w - 57, 22*w - 3*i = 21*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 3, -21, 4 in decreasing order.\nAnswer: 10, 4, 3, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -720*r**3 + 4*r**2 + 4*r + 3. Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t = -0*a + a - 221, 0*a - 43 = 4*a + 694*t - 689*t for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + ((-3*sqrt(152))\/sqrt(8))**2 + 5.\nAnswer: sqrt(19) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*r**3 - 13*r**4 - 2 - 3*r**3 + 31*r**4 in the form m + z*r**3 + c*r**2 + a*r + k*r**4 and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - 2 + r + 7*r.\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 3*v + 15. Suppose -p = v*q + 3*p + 92, -66 = 3*q - 3*p. Calculate the common denominator of -1 - (122\/q + 1) and 9\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -b - 3*g + 10, -2*b + 40 = -4*g. Suppose 4*a - b = 2*a. Calculate the least common multiple of 20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 205*w**4 - 208*w**4 - 2*w + w + 2*w**2 as b + i*w + y*w**3 + f*w**2 + h*w**4 and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554\/504 - (-25)\/(-30).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -24.473 * 4\nAnswer: -97.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-81) - (-1)\/((-9)\/6).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.120334nm to meters.\nAnswer: 0.000000005120334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 7)*(-3*d - 2*d + 7*d) + (-2*d + 2*d + 2*d)*(5 - 2 - 2) in the form t + c*d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 - 36 = 2*m. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -60*g**2 - 2*g + 4148. Does 64 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 5*x - 27. Calculate the remainder when 254 is divided by x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:42 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497420265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 3468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8864, 12095, 15326, 18557?\n\"Answer: 3231*f + 5633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541152748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*1*-6 - (sqrt(98)*2 + 3))*-4 + (sqrt(98) + -1 + -3)*-4*-4)**2.\nAnswer: -34944*sqrt(2) + 228496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 977, 1975, 2985, 4007, 5041, 6087, 7145?\n\"Answer: 6*a**2 + 980*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 14*l**2 + 2*l - 18. Let k be f(14). Solve -h = k*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21896\/(-3808))\/(2*(-1)\/8)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by -86?\nAnswer: 269\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 47. Let f be j(-16). Which is smaller: f or -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*h**3\/4 - 2147*h**2\/2 - 355245*h\/4 - 27225.\nAnswer: -(h + 165)**2*(13*h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12510 divided by -10?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 12*(-1 - 0). Let t(z) = 2*z**2 - 29*z + 21. Suppose -5*a + 20 = -10. What is the smallest common multiple of t(j) and a?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*r**3 + 46*r**3 + 48*r**3 + 51*r**3 + 51*r**3 + 47*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541213?\nAnswer: 23, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3360 and 1120?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/5 - 44*z**3\/5 - 194*z**2\/5 + 528*z\/5 - 288\/5 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*s*w**2 + 119*s - 3632*w**2 with respect to s.\nAnswer: -13*w**2 + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -425, -609, -791, -971?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 12404721\nAnswer: 1\/12404721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 17360*m + 74518644 = 0. What is m?\nAnswer: -2661, 7001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012220110110001 + -101?\nAnswer: 2012220110102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 2. Let i be w(-3). Let v be (-7)\/9 + i\/(-18). Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ec6 (base 15) to base 2.\nAnswer: 100000111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 135 - 66. Suppose 4*b = j - 53. Suppose 0*v - 2203 = -5*v + b*i, -5*v + 2191 = 2*i. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 8. Let t = 15 + -5. What is the least common multiple of p and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m - 66. Suppose -912 - 2278 = -m*v. List the prime factors of v.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4770*g - 432 = -4818*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 2*c + 2. Let y be z(3). Let o be y\/(-6) - 4\/6. Suppose 0 = -o*f + 2*f - 4*b + 15, -3*f + 13 = -4*b. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273457849.\nAnswer: 7, 29, 71, 18973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -234040 (base 8) to base 13\nAnswer: -2a4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163301, -330277, -497253, -664229, -831205?\nAnswer: -998181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1699*f**3*i**2*q - 4*f**3*q**2 - 2*f**2*i - f**2 - 3015*f*i**2 + i**2*q**2 + i**2 wrt f.\nAnswer: 10194*i**2*q - 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)**(1\/14)\/(c\/((c**(-3\/5)\/c)\/c)*c\/(c*((c\/c**(5\/4))\/c*c)\/c)))\/(((c\/(c*c\/c**(-1\/5)))\/c)**(-2\/99))**(-50) assuming c is positive.\nAnswer: c**(-473\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*i = 9, 9 = -s + 4*i + 14. Let v be 1 + 2*(-1)\/2. Put s, v, 3, -5 in descending order.\nAnswer: 3, v, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/25)\/(-4)*(-10)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0 - 108. Suppose 0 = 3*b + 45 + h. Let g = -17 - b. Calculate the greatest common divisor of g and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 2 - 2\/3*r**3 + 0*r + 0*r**2. Let l(k) = k**2 + 0*k + 0*k. Give q(l(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**5 - 1271*b**4 - 4*b**3 + 125*b**2 - b - 273 wrt b?\nAnswer: -360*b**2 - 30504*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-4))\/((-9)\/36). Let d(m) = 9*m**3 - m**2 + m - 4. Is d(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from {s: 5, m: 3, e: 8, w: 1, x: 2}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01855 to 3 dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 34 = 12*y. Put -2, y, 15 in ascending order.\nAnswer: -2, y, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(475\/(-76))*15?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(15\/(-69)) + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a + 102. Determine k(53).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1152 - -1074?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/p**5*(p**(1\/4)*p)**9 assuming p is positive.\nAnswer: p**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Let u be o(17). Let a = u + 64. List the prime factors of a*2*(-4)\/(-16).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15270864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 1.723.\nAnswer: 22.399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -13. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6821 + 6938 - 12511)*(-1 + 2 + 0 + (-5 + 3 + 3)*(-1 + 5 - 5) + 0 + 2 + 0)*(-3*u + u + u).\nAnswer: -2496*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 - -26588?\nAnswer: 26547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -15235\/8 less than -1903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-246)\/(-41)))\/(-2*(-2)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 3*y + 1. Let s be a(3). Suppose s - 5 = -2*z. Let q(m) = 6*m - 6 + 2 + 0 - m**z - 2. Calculate q(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + o - 1. Let b(m) = -3*m**2 - 6*m + 4. Suppose -26*v - 11 = -27*v. Let g be 1 + -5 + (6 - v - -10). Determine g*b(t) + 4*x(t).\nAnswer: -7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**3 + 34*t**3 - 23*t**3 + 53*t**3.\nAnswer: 74*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.1. Let d = 0.3 + -4.3. Let g = -5 - d. Which is the closest to z? (a) g (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46371803?\nAnswer: 46371803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 2*p. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amah when four letters picked without replacement from kqhmqaqakckamkkqkkah?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - -117. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46.1 - -48. Let g = -11324679.1000023 + 11324681. Let c = g - a. What is c rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.888 + -0.088. Let x = 34.7 - n. What is x rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -57. Is a at least -5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.23 * -240497\nAnswer: -1017302.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 8. Give c(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*l - 2*o, 3*o - 413 = -8*l + 4*l. What is the remainder when l is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35*(-1)\/(-10)*1524\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2154 = -91. Suppose 4*q = -c - 263. Calculate the remainder when 66 is divided by q\/(-10) - (-4)\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3270836, 3270835, 3270834, 3270833?\n\"Answer: -y + 3270837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.872 - -12.3. Let p = -2.688 - o. What is p rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 25. What is the lowest common multiple of j(11) and 77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 0, 273*s - 3*r - 158 = 269*s. Solve 270*z = 263*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 21*a - 89. Let p(d) = -883 - 14*d - d**2 + 3*d + 838. Let g(f) = -4*n(f) + 7*p(f). What is the hundreds digit of g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by -28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12190 and 13\/80?\nAnswer: 97520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h - 53. Determine i(14).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 499.36676 rounded to 1 dp?\nAnswer: 499.4","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 439818, 879633, 1319448?\n\"Answer: 439815*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4585 is divided by 165.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 45 = -4*d. Let u = -24 - d. Calculate the remainder when 39 is divided by 50\/(-4)*12\/u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6926*3936\nAnswer: -27260736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 518831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 3, r: 4, f: 1, x: 5}. What is prob of picking 1 y and 1 r?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/(1 - 0). Suppose 4*w + 336 = -b*w. Is (-2 - -2 - w) + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.73 in -1, 3, -4\/3, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:55 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i + 24 = -72*i + 2*a, -3*a + 24 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48050*f - 47957*f - 7626 = 0 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + (16 - -12) + 117 + -131?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -430*x + 1207. What are the prime factors of a(-24)?\nAnswer: 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9580337*g**2*h + 36*g*h - 23871*g + 2*h + 1 wrt g?\nAnswer: -19160674*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -2.6.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2510*q + 50640. Determine l(-20).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 0.24\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 6*m + 3*b - 10, -2*m = 2*b + 4. Is 13 a factor of 3\/(99\/930) + m\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7*u = 21. Let f be (-58)\/(-6) + (-14)\/u. Let h be (-1)\/(f\/(-6))*-3. Put 3, -5, h in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(-c - 3 + 3) - 6*c + 2*c + 3*c - 37*c + 198*c + 52*c.\nAnswer: 210*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617172906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - 1612\/5. Let y = x - -130. Sort y, 4, 1\/5 in descending order.\nAnswer: 4, y, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*p**3 + p**2 + 22086*p + 1242233568 wrt p.\nAnswer: 495*p**2 + 2*p + 22086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) -2\/9 (c) -0.0221 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 1\/16, 8 in descending order.\nAnswer: 8, 1\/16, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -11) + (-13 + 12 - 17) + -21.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175772.\nAnswer: 2, 43943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:22 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 10. Let o be v(9). Suppose 0 = -d + 4 - o. Let p = 3262 - 3247. What is the lowest common multiple of p and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = s + 2, 5*n - 25 = -5*s. Solve -o + 9 = 3*o - g, s*o + 4*g = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -430\/1403 - -24\/61. Let m = -56.113 - -0.113. Let x = -56 - m. Which is the nearest to x? (a) 2 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 34*t**2 + 12*t**2 - 3*t.\nAnswer: 46*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 - 1 + 0*g**2 + g - 2*g**2. Suppose -2*y = -6*y - 4. Let f(x) = 3*x**2. Suppose 4*v = -1 + 5. What is v*k(l) + y*f(l)?\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 406 - 756 = 0. What is the hundreds digit of 3\/6*(2 - -10*x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 2*i + 3. Let y(n) = n. What is l(v) + 2*y(v)?\nAnswer: 3*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-22\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-182) - 456\/78\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2b2 (base 12) to base 5\nAnswer: -3142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -903.6 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28116, -225084, -759718, -1800852, -3517320, -6077956?\n\"Answer: -28139*u**3 + u**2 + 2*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1049451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 7\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.08?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 22605.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(110)*-2)\/sqrt(10)*1)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 3*f - 15*f)*(0 + 3 - 1)*(-27 - 59 - 66) to m + n*f and give n.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + 7. Let p(y) = -y**2 - 10*y + 722. Let o be p(-32). Calculate the highest common factor of w and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 3*x + 3*x)*(-5*x + 32*x + 25*x) + (-29*x**3 + 44*x**3 - 25*x**3)*(x + 0*x - 2*x) + (2*x**3 - 4*x**3 + 3*x**3)*(-1 + 1 + x).\nAnswer: -93*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11232525*o**3 + 3*o**2 - 1101539.\nAnswer: -67395150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = -26*r + 24. Let l be (-108)\/(-6) + -2*(r + 2). Solve -4*x - l = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23470 + 1753. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2476 - 548 = 756*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77318912*f**3 + 236795464*f wrt f.\nAnswer: -463913472*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45541591*i**3 + 2*i + 39920593 wrt i.\nAnswer: -273249546*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19401099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -110*b**3 - 4*b**2 + 12*b + 5. Let y(v) = 113*v**3 + 3*v**2 - 9*v - 6. Determine -4*x(j) - 5*y(j).\nAnswer: -125*j**3 + j**2 - 3*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1041333 - 32?\nAnswer: 1041301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3696324 divided by 54.\nAnswer: -616054\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 242.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -552*b + 550*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 14. Let c(w) = w**3 - 2*w**2 - w + 1. Let r be c(z). Let p = 4 - 3. What is the highest common divisor of p and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from aiiiaiaiiiiiai?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least 127.04807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 7*t**3\/6 - 5*t**2\/2 - 216*t. Calculate c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j - 47. Let b = j - 57. Solve 20 = -0*h + b*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = 44*j - 228. What is the remainder when j is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1516518 + 9912*k + 9633*k - 1516518 to i*k + y and give i.\nAnswer: 19545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, y: 1, j: 2, w: 1, v: 3}. Give prob of sequence wev.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1460273614 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -15*c**4 + 410*c**3 + 3580*c**2 - 113960*c - 77440 = 0.\nAnswer: -16, -2\/3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20381*2021.\nAnswer: 41190001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.350281 - -16.6502548. Let j = 1333 - 1330.7. Let t = y - j. What is t rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eggggge.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -19, -9, 13, 47, 93?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, -663 in ascending order.\nAnswer: -663, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + o - 37, -62 = -3*j - 5*o + 6 - 35 + 64 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3144 = 325*k - 63*k. Solve -26*b = -k*b + 28 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + t = 24, 0 = -l - 2*t + t + 8. Let d be (10\/l)\/5*6. Solve 4*o = d*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22287 divided by 248\nAnswer: 22287\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i + 1. Let j(x) = -7*x**2 + 6*x + 6. What is j(d) - 6*v(d)?\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 3*t. Let r(o) = 7*o**2 + o - 3. Let a(s) = 9*s**2 + 2*s - 4. Let i(w) = 3*a(w) - 4*r(w). Calculate 2*i(k) - 3*z(k).\nAnswer: k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -31*l**3 + 188*l**2 + 202*l + 16. Calculate w(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*m - 1, -m - 21 = -4*m + 5*l. Let o = m + 2. Find v, given that 1\/2*v**3 + v**o - v**2 + 0 - 3\/4*v**5 + 1\/4*v = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71877?\nAnswer: 3, 13, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6692 and 132244?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-40) - (-4)\/(-10). Suppose -4*s + a*d = -d - 46, -3*s + 4*d = -28. Solve -2*u + s = -2*h, 0 = 3*u - u - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b. Let z(u) = -9760504*u**2. Determine z(j(h)).\nAnswer: -9760504*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/((-5504)\/272))\/(((-3)\/(-2))\/3)?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/8 + 5*d**3\/2 - 81*d**2\/8 + 45*d\/4.\nAnswer: -d*(d - 15)*(d - 3)*(d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254023*m - 252473*m + 758953*m - 252465*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/3 - (-72)\/(-108)) + 4. Let b(j) = j + 1. Let r(l) = 8*l + 6. Calculate u*r(m) - 14*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 15) to base 14.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112.1 + -4.9. Let c = -96 - s. Is c at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*l + 73*l + 484*l + 72*l - 693*l.\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 31.73. Let x = 0.03 - l. Let j(f) = -f. Let s be j(-1). Which is the nearest to s? (a) -0.5 (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/40)\/(9*(55\/396)\/5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + sqrt(1280) + 2 - sqrt(1280)) - (sqrt(1280) + sqrt(1280) + 0 + -2 + 1))**2*-1.\nAnswer: -5696 - 1536*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22*y**3 - 6*y**2 - 17*y + 3. Let b(w) be the first derivative of 2*w**4 - 2*w**3\/3 - 3*w**2 + w - 59. Let v(k) = -17*b(k) + 6*s(k). What is v(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 469321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83ab + -4?\nAnswer: 83a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {w: 4, a: 6, m: 1, o: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + (1 - 2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0 + h**2 + 0*h**5 + 0*h**3 + 0*h - 1\/6*h**4 + 1\/40*h**6. What is the second derivative of s(k) wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134.372 + -121.39. Let j = n + 0.018. Let b = j - 13.00000165. Round b to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0) + ((-35)\/7 - (15 + -23)). Suppose 15 = x - 36. Suppose -p = -4*m + x, -4*p + 0*p = 3*m - 24. Solve h = k*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 150.1.\nAnswer: 148.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11043 (base 5) to base 15.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Suppose 3 = -4*z + 5*g, 2*g = -b*z + z + 15. Let c(p) = p**2 + 6. Let h(s) = -s**2 - 5. Determine z*c(d) + 4*h(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 0*g**3 - 2*g - 1\/6*g**4 + 0 + 0*g**2 - 1\/15*g**6 + 0*g**5. What is the third derivative of h(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) + 1) + 2 + sqrt(208) + 1)**2.\nAnswer: 1044*sqrt(13) + 43813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -127*j + 1. Let g(f) = 74513*f. Calculate g(w(a)).\nAnswer: -9463151*a + 74513","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 40. Suppose 2*x = o - 126. Let r = x - -46. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154538352 and 1152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*d**3*h**2 + 358*a**2*d**2*h**2 + 8*a**2*d**2*h - 3*a**2*d**2 - 2*a*d**3 - 9*d**3*h wrt h?\nAnswer: 2*a**2*d**3 + 716*a**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60033?\nAnswer: 3, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 369?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -233?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 109, 102, 95, 88, 81?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31399.\nAnswer: 17, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 426, -1, 28, 15.\nAnswer: -4, -1, 15, 28, 426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 + 0. Suppose 5*a - 4 + l = 0, -2*k + 10 = -a. Let c be (k\/(-4))\/(5\/(-400)). Calculate the highest common divisor of c and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 612*k**2 - 3033*k + 1252. Give b(-607).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 + 7*s**2 - 5*s. Let l be g(-4). Which is the second biggest value? (a) 2\/9 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0, -2002, 2\/5, 2, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -36754?\nAnswer: 36755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1271\nAnswer: 254.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2124297 divided by -21\nAnswer: 101157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {b: 5, z: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 13040*x**3 - 13486072*x**2 + 4659309360*x - 510678885924 = 0. What is x?\nAnswer: 261, 1369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {q: 1, a: 2, c: 9, m: 6}.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let r = -7 - n. Is ((-1)\/r)\/((-2)\/(-88)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.024 (b) -0.4 (c) -556\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33030.497674 - 4.\nAnswer: 33026.497674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 0.06, -7\/31, -1?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7134927, -7134923, -7134919, -7134915?\n\"Answer: 4*d - 7134931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.12 + -2.92. Let f = g - -3.4. Which is the nearest to f? (a) -0.4 (b) 5 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 653.\nAnswer: 652.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/8 + 14845*l**2\/8 - 44517*l\/4.\nAnswer: -l*(l - 14839)*(l - 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 + 119. Let k = g + -15. Solve -k*i - 13 = -4*i - 4*x, -3*i + 3*x = 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.136, -3 in descending order.\nAnswer: 1\/3, 0.136, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 20 = 2*w, -s = 3*w - 16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = -3*l + 877. Let b = l - 128. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 128\/3. Let p = 4315 + -4323. Which is the second biggest value? (a) u (b) -0.4 (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*q + 52. Let r be 8\/(-40) - q\/(-10). Suppose r*l - 171 = -5*i - 26, -2*i + 58 = 3*l. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/130492 and 89\/195738.\nAnswer: 391476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/39)\/((v*v\/v**(-1\/4))\/v*v)*v*v\/v**(4\/11)*v*v\/(v\/v**(-1)) assuming v is positive.\nAnswer: v**(-1141\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d + 20. Suppose 4*c = -d - 7. Let p(k) = k**2 - 4*k - 9. Let u be p(5). Which is smaller: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (6 + (-2 - -9) + -8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107804, 781, -2\/5.\nAnswer: -2\/5, 781, 107804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -407\/28 or -3\/4?\nAnswer: -407\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72507 is divided by 11783.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 14 = -3*g, -5*d + 5*g = -0*g - 10. Calculate the smallest common multiple of d and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1224\/532 - 3) + (-1)\/7. Let f = 83\/76 + r. What is the third biggest value in f, 4, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, y: 3}. What is prob of sequence ryr?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + l - 65. Let f(p) = -2*p - 8. Let o be f(-7). Suppose -o = -4*z - 18, -4*v + z = -31. What is the remainder when l is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(64)*1 - sqrt(60)\/(-1*sqrt(432) + sqrt(432) + sqrt(12)) - (sqrt(60)\/(sqrt(3) - sqrt(675))*4)**2.\nAnswer: -3*sqrt(5)\/4 - 80\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n - 15. Let m(i) = -16*i + 14. Let b(c) = -3*a(c) - 4*m(c). What is the derivative of b(v) wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**3 - c. What is g(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:46 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 781562123 + 0.11.\nAnswer: 781562123.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/476657 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/4)\/c)**(1\/14)*c**(-3\/7)*(c*(c*c**(1\/5))\/c*c)\/c assuming c is positive.\nAnswer: c**(221\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*l - 2*s, -32 + 1 = -5*l + 3*s. Suppose -4*z + 0*n = 2*n - 56, 47 = 3*z + 4*n. Let t = 5 - 3. Solve 0 = t*y + l, 3*y + 4 = 5*k - z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:21 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 33. What is the lowest common multiple of 70\/y - (-2)\/4 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 5*d**4\/3 - 56*d**3\/9 - 46*d**2\/3 - 16*d\/3 + 12. Factor g(z).\nAnswer: 4*(z - 4)*(z + 1)*(5*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -229?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5*6\/75*-5. What are the prime factors of (-389)\/(-1) - (u - 3)*2?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1757, 1774, 1791, 1808, 1825, 1842?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5551857 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884494607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014777?\nAnswer: 3014777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19920 and 69720.\nAnswer: 139440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2. Let u be x(-4). Solve 5*h + 15 = -4*o, u = -5*h + 2*h - o - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Suppose -y*j - 4*k = -0*k - 24, -5*k - 33 = -2*j. Solve -3*n - j = -3*b, 0*b - 7 = -b + 2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 3\/5, 6\/11, -20\/7, -2\/3, 170?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/70 - (-64623)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5\/4 - 903*m**4\/4 + 11505*m**3 = 0?\nAnswer: 0, 65, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3320 = 5*w - x, x + 392 + 272 = w. Is 82 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34313 (base 6) to base 16\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2068*w**2 + 138*w - 413. Let k be o(3). What is k rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -478*r*w**2 + 3*w**2 - 76*w wrt r.\nAnswer: -478*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from cnrrrrccsjcr.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177\/4 > 39997\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -60, -89, -102, -93, -56?\n\"Answer: j**3 - j**2 - 43*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.351713 years?\nAnswer: 112.220556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -521, -4235, -14313, -33935, -66281, -114531?\nAnswer: -181865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 358, 1224, 2916, 5710, 9882, 15708?\nAnswer: 23464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 25 - 60. Suppose 4*d = 3*y + b, -4*d + d = -y - 14. Let c = -4\/33 - 13\/165. Is y > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 7*u + 16 = 0. Let d(g) = 2*g - 5. Give d(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1584\/77*(-1407)\/(-268)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 3*g**4 + (-4347*g + 4347*g - 150*g**3)*(2 - 4 + 0)*(g + 0*g + 0*g).\nAnswer: 303*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 60539126, 242156512, 544852156, 968626058?\n\"Answer: 60539129*t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1340*d**2 - 1340*d**2 + 2*d + 3*d**3 in the form f + c*d + r*d**3 + q*d**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 283?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 137 + 309 = 6*q + 128, -30 = 3*n - q for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77, -326, -733, -1292, -1997, -2842, -3821?\n\"Answer: q**3 - 85*q**2 - q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*h - 3886 = -21803 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzznzzznnnzzn. Give prob of sequence znz.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*q + 3*q - 45, 2*u - 3*q + 2 = 0. Suppose -331 - 315 = -u*y - 3*l, 0 = y + 2*l - 125. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*3\/(-312)*(-12)\/9)\/((-144)\/(-2688))?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*5.9\nAnswer: 17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**2 + 20964651 - 20964651.\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 155 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 68. Let s be 4 + j + 0 + 1. What is the greatest common divisor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csmwqqqmwnqsqcnw. Give prob of sequence ww.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*z + 171*z + 14*k - 32, 0 = -z - 5*k + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.4 (c) -53\/2 (d) -0.1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:22 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9824774 or -9824763?\nAnswer: -9824774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12598*y - 423*y**2 - 12598*y.\nAnswer: -423*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*p - 4 = w, -4*p = -3*w + 28. Let b = 37\/15 - 7\/5. Find the common denominator of b and w\/18 + (-1196)\/360 + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 2*z**2 + 5*z - 5. Let s = -79 + 81. Let w be d(s). Let u be 2\/4*(-80)\/(-10). Solve 0 = -4*f - 4*j, -w*f = u*j - 0 - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -348839, -348835, -348817, -348779, -348715, -348619, -348485?\n\"Answer: a**3 + a**2 - 6*a - 348835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.38 - -10987.06.\nAnswer: 10984.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + 77. Calculate the greatest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*s - 31 + 126 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -877*z - 7. Let q be f(-1). Round q to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d**2 + 11*d**2 + 10*d**2 + 13*d**2. Let k(m) = m - 2*m + 6*m - 2*m. Give k(o(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x + 2. Let q = -1149 + 1147. What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 11 + 99 = 0. Solve 3*f - 5 - k = -2*h, 15 = 3*h + 3*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o*o)**29\/(o**(-4))**8 assuming o is positive.\nAnswer: o**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/120 + 5*c**4\/24 - c**3\/6 + 2408*c**2. Determine k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-1*-3*-5)\/((sqrt(160)\/sqrt(4)*4)\/((sqrt(120)\/sqrt(4))\/sqrt(3))).\nAnswer: -135*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310 and 486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-114)\/4)\/((-2)\/(-4)). Calculate the remainder when 14 is divided by u\/(-171) - (-3)\/(9\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5630 + 100*q**2 - 63*q**2 - 5630.\nAnswer: 37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 11*x + 1220 = 0. Calculate the smallest common multiple of 14 and x.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*r + 45, -3*r - 11 = -f + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2 - t + 13*t.\nAnswer: 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/23, -1675\/34, 1?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30221 = 7*s + 2291. Let g = s - 39971\/10. What is the common denominator of g and 97\/104?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 38*t + 9. Solve -t*c - 4*n = 18, 4*c + 2*n - 4*n = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1131 and 522?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 14*r**2 + 12*r + 12. Let s be b(13). Let u be (2 - s\/(-1)) + 18. Let c = -13 + u. Calculate the least common multiple of c and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (-20)\/11 + 1. Let y = -0.7 - -2.7. What is the smallest value in y, c, 2\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**3 + 6437*u**2 - 419316*u - 1315665 = 0 for u.\nAnswer: -865, -3, 507\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7519 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 7*o - 4. Let x be d(-5). Let w be (-36)\/(-4)*2\/x. Is w\/4 + 49\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4063712923 to the nearest integer?\nAnswer: 63747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(84))\/(sqrt(175)*1 - sqrt(7)) + 3*3*((sqrt(75) + -2)*-4 - sqrt(75)).\nAnswer: -224*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 7026 (b) -4 (c) 40 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 5*x**2 + 3*x. Let b be k(-4). Suppose -b*g = 6 - 46. Solve 0 = -3*j - t + 2*t + 2, 3*t = 5*j - g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 44. Suppose 3*r - 2*s = 1, 5*r = 7*s - 10*s + q. Is 3\/(-4 + r)*2 - -675 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 23. Let u(x) = x - 1. Let z(f) = n(f) + 5*u(f). Calculate the remainder when 37 is divided by z(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 = -74*a - 95 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-8)\/12*26\/91. What is the nearest to 0.11 in w, -1, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7384 * -1.76\nAnswer: -12995.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, p: 4, y: 4, o: 2, c: 1, d: 3}. Give prob of sequence djy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 6:47 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 24. Let n(p) = -3*p + 27. Let d be n(w). Let o(q) = 3*q**2 + q. Let f be o(-1). Put f, 1, d in ascending order.\nAnswer: 1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/(-12))\/(20\/440))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 53 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*v - v - 2*v)*(1 - 1 - v**2)*(v + v**2 - v) - v - 3*v**5 + v.\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**(-3\/5)*o*o*o*o**9*o*o*(o\/((o\/(o**4*o))\/o))**(6\/7) assuming o is positive.\nAnswer: o**(719\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q. Let h be d(6). Suppose 0 = -4*y - 9*p + 4*p, 0 = -y + 5*p. Let i be 6 + y + (-2 + 62)\/2. Calculate the greatest common factor of h and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -68*n**3 - 25010504*n**2 - 13240836*n = 0.\nAnswer: -367801, -9\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148544 and -118?\nAnswer: 17528192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 6:41 AM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(1\/((-40)\/(-16)))\/(52\/65).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3985 times -0.18665?\nAnswer: -743.80025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(39)\/sqrt(3) + 3*sqrt(832).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 7*q**6\/12 - 43*q**3\/3 + 3*q**2 - 16. Differentiate n(p) with respect to p.\nAnswer: 210*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9303 and -2\/21541 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**2 - 140*u\/3 - 8.\nAnswer: 4*(u - 6)*(6*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7746.633 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -156, -459, -760, -1059, -1356?\n\"Answer: j**2 - 306*j + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w + 9*w + 6*w + 22 - 3*w in the form o*w + l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -138. Let x = q + 76. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37427*q**4 - 1329*q + 6 wrt q?\nAnswer: -449124*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*r = 175*r - 667. What is the highest common factor of 841 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6966 = -11*n + 7021. Let j(k) = -k**2 - 6*k + 2. Let y be j(-6). Solve 2 = -y*w + n*x, -4*w = -w + x + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31453 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*k + 76, 2*v = -4*k - 55 - 51. Let x = k + 42. Calculate the remainder when 70 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 - 1. Let n(h) = h**3 + 10*h**2 + 11. Let o(s) = -n(s) - 6*t(s). Let w be o(4). Let f = -144 + w. What are the prime factors of f?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2287*n**2 - 62*n - 95895 wrt n.\nAnswer: -4574*n - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -3*p + 13229, -8819 = -2*p - 3*l. List the prime factors of p.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**5\/60 - 13*o**4\/24 + 41*o**3\/6 + 14*o**2 + o. Let a be d(8). Solve 0*w + w = p + a, -3*p - 2*w - 23 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 86. Let x(n) = n**3 + 22*n**2 + 13*n - 44. Let q be x(-19). Suppose -70*a = -72*a + q. Calculate the greatest common factor of l and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 10615162.\nAnswer: 520142938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-v - 7 + 17 + 5) in the form t*v + r and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1379998*x + 10. Let y(r) = 1379998*r + 10. Let o(l) = 6*f(l) - 7*y(l). Let z be o(5). Round z to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/120*(34\/(-8))\/(11\/132).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.60882mm in meters?\nAnswer: 0.04260882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -3\/7, 21\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 40*y - 19. Determine a(20).\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864 >= 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7334444389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s - 76*s + 2 = 0. Let w = -8 + 11. Let f(q) = q**2 + q. Let i be f(-1). Solve -s*u + 3 + w = i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 387, 640, 881, 1104, 1303, 1472, 1605?\n\"Answer: -h**3 + 260*h + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 2*a + 2. Let d be (1 + 0)\/((-4)\/(-12)). Let c be b(d). Calculate the highest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -9*c - 60. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/300954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b + 99. Let i(a) = -a + 1. Let w(h) = 2*i(h) + o(h). Is w(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 17*v - 115. Let x(h) = 67*h - 458. Let o be -15 - ((17 - 11) + 12\/(-1)). Let i(d) = o*b(d) + 2*x(d). What is the first derivative of i(q) wrt q?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11258, -44988, -101170, -179804?\nAnswer: -280890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 474355939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from ptpppnbpibtitp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -20. Suppose 2*b + 0*b = z. Solve -c = -0*c - b*s + 2, -s = 2*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 65, -5, 1, 76 in ascending order.\nAnswer: -5, -2, 1, 65, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -3766.9319?\nAnswer: 753.38638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 0*v + 344. Is v a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -111, -5, -4, 5, 33 in increasing order.\nAnswer: -111, -5, -4, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 5*u**2 + 9*u - 11. Calculate k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 1. Let p(z) = -z**2 + 15*z - 49. Let k be p(11). Let c(g) = g + 10. Let b be c(k). Solve -5*x = -b - l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12669 times 0.2?\nAnswer: -2533.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -117 - -223. Suppose 4*w - 8 = 4*n, 3*n = 4*n + 3*w - 14. Suppose 53 + 75 = 4*d + n*t, 3*d + 4*t = k. Calculate the highest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 161*a**2 + 2*a - 18. Let r(v) = 158*v**2 + 2*v - 21. Let p(t) = 5*b(t) - 6*r(t). What is the derivative of p(h) wrt h?\nAnswer: -286*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5684 = 18*k + 36*k + 4*k. Calculate the highest common factor of k and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6622, -4895, -2026, 1979, 7114, 13373, 20750?\n\"Answer: -d**3 + 577*d**2 + 3*d - 7201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 562006222 to the power of 1\/2, to the nearest integer?\nAnswer: 23707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*f + f + 1104, 4*f + 2*i - 2200 = 0. Let b = f - 280. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l**3 + 14 - 8*l**3 - 14.\nAnswer: -38*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -r**6\/120 - 17*r**5\/60 - r**4 + 11*r**3\/2 + 103*r**2. What is the tens digit of p(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/(-6)*6707\/95*6. Let z = 3548 - 5485. Let v = z + s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 8*l + l to w + u*l and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1)*k*k*(k*k\/k**9*k)\/k*k)**(44\/3)\/((k\/k**(-1\/4)*k*k)\/(k*k**(-3\/2)*k))**(-39) assuming k is positive.\nAnswer: k**(253\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(1 - 876\/879) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*w + 85*w = 167*w - 44 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/43 or 0.63?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*j + 69*j - 48. Calculate the lowest common multiple of j and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 230 and 21229.\nAnswer: 212290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3\/7, -13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32331, 64664, 96997, 129330, 161663?\n\"Answer: 32333*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/45 in 0.034, 1, -8.2?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g + 0*g - 5*g)*(-1 + 1 + 2*g**3) - 5*g**4 + g**4 - 6*g**4 to the form d*g**2 + p*g + i*g**4 + u + k*g**3 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(468)*1 + sqrt(468) - sqrt(468))*4 - sqrt(468))\/sqrt(12))\/(sqrt(33)\/(sqrt(176)*3)).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -2\/135 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 26.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1438633 - 50551. Suppose -4711918 = w + p. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*j = 30, 0 = -f - j - 3871 + 3866 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 10:45 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 26*l**2 - 24*l - 8. Let w = 180 + -155. Let a be s(w). Calculate the greatest common divisor of 221 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - 109 - 106 + 17*k**3 - 103.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -9*1*(-4 - -3). Suppose 6*q - 3*q - a = 0. Suppose 2*b - q*g - 31 = 0, -4*b - 2*g + 60 = -6*g. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889422076?\nAnswer: 2, 181, 2609699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 770 - 436. Suppose -5*n + 133 = y - 0, 2*n - a = -3*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-4)\/16)\/((-42)\/288)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 169 + 629. Let g = z + -131. Is -15 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38985 is divided by 3542.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**2 + 9*b + 28. List the prime factors of q(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from ffynmfmynfyybfffcn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Let f be 15\/9 + (-70)\/(-21). Solve -2*i + f*p + 0 = -5, -i + o = p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 1\/2*c**2 + 0*c + 2. Let n(k) = -k**2. Determine n(l(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2656081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4029)\/711 - (6 - 5)\/((-2)\/10). Which is the fourth smallest value? (a) h (b) 2 (c) 5\/6 (d) -3\/4 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11271.3 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y + 14. Let q be w(0). Suppose -2*j + 5*o = -0*j - 14, -18 = -5*j + 4*o. Calculate the highest common factor of q and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 4. Let s(z) = 2*z - 9. Let i(o) = -5*f(o) + 2*s(o). Let b(y) = 4*y - 7. Let l be (-7*(2 - 1))\/(-1). Give l*i(c) + 2*b(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q**3 + 2*q**3)*(3 - 3*q - 3 + (3 + 0 - 5)*(2*q - 2*q - 2*q)) - 2*q**4 + 0*q + 0*q.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2647*v**2 - 137648*v + 145. What is z(52)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 17. Calculate the remainder when 93 is divided by d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 3*w + 3*d - 21, -5*d = -3*w + 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 4, q: 16}?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:23 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 8*z = -13*z - 10, -z = -3*w - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + h + 7 = 6*r, r = -3*h + 5. Let a = 7 + r. Suppose 4*z + c - a = 0, -3*z - 2*c = -5 - 3. Solve 2*d - 2 = z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 7*m**3 + 11*m**3 + 2*m**3 + 4*m**3 - 4*m**3 + (-2*m + 1 - 1)*(0 + m**2 + 0) - 7*m**3 - m**3 - 2*m**3 as i*m**2 + v*m**3 + p + k*m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31 and 157674?\nAnswer: 4887894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 + 5a04?\nAnswer: 5a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 293 or 632?\nAnswer: 632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3 - 2*v - 5*v + 3*v. Let k(s) = 7*s - 5. Let d be -10*(8\/28)\/(8\/14). What is d*b(m) - 3*k(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, o: 2}. Give prob of picking 1 x and 1 m.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + 96*a + 645. Let x be j(-24). Calculate the highest common divisor of x and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5491, 2, 64 in descending order.\nAnswer: 5491, 64, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -74, -86, -114, -164, -242, -354, -506?\n\"Answer: -j**3 + j**2 + 2*j - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -565 divided by 5.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/7, 0, 0.4, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 + -2 - 0\/(-5). Let n be 0*(2 + (y - 4)). Solve n = -c - 3*c - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/418 - -823\/5434. Let y = -75.3 + 76.5. Put y, o, -4, -1 in ascending order.\nAnswer: -4, -1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3 or 22?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3467179?\nAnswer: 61, 113, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39171 and 0.\nAnswer: -39171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-206)\/4. Suppose -95 = 6*r + 127. Let m = r + y. Solve -n + m = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -49, -3, 1, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, -2, -3, -9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 - -3. Let q be (1 + -1)\/(-5 - -1). Which is the fourth smallest value? (a) q (b) -4 (c) 1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**2 - 3. Let j(k) = 167*k - 2. What is j(t(x))?\nAnswer: 1503*x**2 - 503","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*a**2*d*j - a**2*f**2*j**2 + 2*a**2 - a*d*j**2 + 6*a*f*j**2 + 14*d*f**2 + 137*f**2 wrt d?\nAnswer: -23*a**2*j - a*j**2 + 14*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*r**3 + 101*r**2 - 430*r wrt r.\nAnswer: 150*r + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163.2 + 138.94. Let n = m + 24. What is n rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(5\/(-25))*2*-2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 1\/5 (b) 2.5 (c) -3\/10 (d) -0.1 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*q - 3574 = -1555 + 9905 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/87)\/b*b**(1\/5)\/b assuming b is positive.\nAnswer: b**(-793\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1976 + 1981. Solve a + 24 = 28, 12 = -s*k + 3*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0*w**7 + 33\/28*w**8 + 0 + 0*w**3 + 0*w**5 + 19\/4*w**4 + 0*w**2 + 0*w**6 - 73*w. Find the third derivative of j(x) wrt x.\nAnswer: 7920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1673 = 3*h - x - 749, 800 = h - 4*x. Let j = 1618 + h. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 2*r**2 - 3*r - 4. Let p be g(-3). Let a(i) = 170*i - 12. Let w be a(-6). What are the prime factors of (w\/10)\/p + (-3)\/(-15)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31699140 + 6*o**3 + o**3 - 3*o**3 - 31699140.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2606982 is divided by 661.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -432500 to the nearest ten thousand.\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -698 + 694. What is the third smallest value in 1, 0.08, l, -0.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 141 = -4*t. Let k = t + -23. Solve -b - 2 = 0, 6*r - r = -4*b + k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -53 - (18 + 1)) + -17.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 21 = -a, -2*a = -5*g - 0*a - 23. Let u(w) = -9*w - 5. Let j(m) = m + 3*m - 2*m - 2 - 6*m. What is g*j(p) + 2*u(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Put -34, 3, a, 5 in decreasing order.\nAnswer: 5, 3, a, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3691 divided by -2326.\nAnswer: -3691\/2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4575993 divided by -4575993.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -121, -270, -479?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -229*k**6\/3 + 2933*k**3\/3 - 4481. What is the third derivative of t(a) wrt a?\nAnswer: -27480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 4*c**3 - c**3 + (0*c - 3*c + 0*c)*(c + 0*c + c)*(2 - 2 + c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24\/25 + 62\/75. What is the nearest to a in -2, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -48. Let d = k - -332. What are the prime factors of d?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51332.\nAnswer: 2, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 3*r - 6. Let b(f) = -8*f**2 - 13*f + 25. Let q(s) = 2*b(s) + 9*x(s). Let l be q(-2). Solve -3*y - 5 = -l*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 2*y - 1. What is j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 180*h**3 - 2496*h**2 - 6912*h.\nAnswer: 3*h*(h - 72)*(h + 4)*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330 (base 5) in base 8?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-6 - 2 - -22) - -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - 1 + 1 + (-g**2 - g**2 + 0*g**2)*(-3 - 1 + 2))*(1 - 3 - 9)*(-1 - 2 - 9)*(4 - 3 - 3)*(1 + 3 - 15) to m*g + i*g**2 + a and give i.\nAnswer: 17424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -1\/6*v**3 + v + 0 - 5\/2*v**2. Let p be (1 + 0 + -1)*1. Give u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 15*y**2 - 34*y + 10. Determine p(-7).\nAnswer: -830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*r - 329 + 327 + 16*r)*(4*r - 3*r + 0*r).\nAnswer: -51*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 n, and 1 d when four letters picked without replacement from ntodgii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/103, 0.14, 2 in decreasing order.\nAnswer: 3, 2, 0.14, -2\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*u = -2*g + 460*u + 12, -3*u + 5 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-3*(sqrt(6)\/sqrt(2) + sqrt(3))).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108477.\nAnswer: 3, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7563, -15125, -22687, -30249, -37811, -45373?\nAnswer: -52935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907883 < 1907883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y + 208 = 817. Suppose 0 = -i + 5*q - 6 + y, -4*i + 8 = q. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = -84*s + 57*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46084824623 + 46084824820.00000379. Let f = c + -197. Round f to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -388, -774, -1160, -1546, -1932, -2318?\nAnswer: -2704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/144 + a**5\/120 - 11*a**4\/12 + 6*a. Let c(y) be the third derivative of k(y). Give c(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36308\/11 + 3296. Find the common denominator of -44\/5 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 2*o + 2*o**3 - 3 to f*o + x*o**3 + t + z*o**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1243, -5, -4\/9, -0.7 in decreasing order.\nAnswer: -4\/9, -0.7, -5, -1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(8 + 10\/(-60) + (-28055)\/3534)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10833\/(-276))\/(-157)*-188.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, m: 1, h: 2, q: 2, p: 6, w: 3}. Give prob of picking 2 p.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-2\/15)*g*g*g*g**(-12)\/g)**(-12\/7) assuming g is positive.\nAnswer: g**(488\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51 + -34 + 1 - -16\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*a - 38*a = -304 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 = -11*p + 8*p, -5*p = -5*u - 5. Solve -3*g + p = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197\/2 - 97. Let v(y) be the second derivative of 1\/4*y**4 + 0 + 3*y - i*y**2 + 0*y**3. Factor v(q).\nAnswer: 3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317*f - 31*f + 143*f + (0*f - 2*f + 3*f)*(1 - 2 - 1).\nAnswer: 427*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f\/(f\/(f\/(f\/f**(1\/4)))))\/f)))**(-26)\/(f**(-2\/3))**17 assuming f is positive.\nAnswer: f**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.97 + 0.03. Let l = 330 - 7589\/23. Let k = 74\/115 - l. What is the biggest value in 0, k, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.5 times -104\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 22*b**2 - 49*b + 24. Let d be x(-24). Find the second derivative of -d - 27 + 99*l**2 + 17 + 2 - 2*l - 55 wrt l.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.924943 to 2 dps.\nAnswer: -0.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938 is divided by 392.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9. Let c(p) = p**3 - p - 2. Let l be c(g). Calculate the least common multiple of (10\/(-4))\/(l\/8) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59270 rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -127 and -2506924\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 5*c**2 + 2*c - 6. Let b be g(-5). Calculate the remainder when (-153)\/(-2) - 8\/b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n**2 - 8 + 8 to f + r*n**2 + y*n and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - y**2 + 2 + 9*y**2 - y**2.\nAnswer: 7*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 57289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14085 by 5.\nAnswer: 2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*m**2 + 2*m + 5 + 0*m**2 + 5*m**2 - 35*m**3 - 2 to u*m**3 + c*m + g + y*m**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllf when four letters picked without replacement from {l: 9, f: 7}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540, 1465, 2760, 4425, 6460?\nAnswer: 8865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128\/95 + 18\/19. Let v = 4.2 + -4. Let k = -141 + 141.2. What is the closest to v in w, -0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5466. Let i(t) = -4*t. Calculate u(i(d)).\nAnswer: -16*d**2 - 5466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -2. Let g = 8 + z. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11706?\nAnswer: 2, 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3347 = -946. Suppose -339*n = -q*n + 232. What is the remainder when n is divided by 46?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -194 (b) 10\/37 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, -7145, -1, -2 in decreasing order.\nAnswer: -1, -2, -5, -8, -7145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70343 at least as big as 54141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -214610 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3\/4 - 3*v**2 + 15*v\/4 - 3\/2 = 0. What is v?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 289, 312, 335?\n\"Answer: 23*r + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 13) + -10 - -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2\/9*g**3 + 2\/9*g - 4\/9 + 4\/9*g**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g. Let f(o) = -74931500*o**2. Give f(y(j)).\nAnswer: -3671643500*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14308.668 months in years?\nAnswer: 1192.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-5)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/43 (b) -1\/6 (c) 0.01 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -318645, 66, 3 in decreasing order.\nAnswer: 66, 3, -318645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*g - 15*g - 59*g - 76*g)*(0 + 1 - 2).\nAnswer: 219*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwwwwtwww. Give prob of sequence wwwt.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/12)\/(-5) + (-95)\/(-195). Which is the closest to 0? (a) 0.5 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14926466, 29852922, 44779376, 59705828, 74632278, 89558726?\nAnswer: 104485172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 2, n: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*w = 7, -w - 8 = 4*b - 6*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1625*o - 16251. Calculate x(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*h - 23, 0*d - 15 = -2*h + 3*d. Suppose -b = -j - h, 2*b + 2*j = -0*j - 2. Solve -3*c - b*r = 27, 4*c + 3*r + 29 = -0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30287415 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3125, -2528, -1533, -140, 1651, 3840?\nAnswer: 6427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 39. Let f be x(-6). Suppose -f*c + 5*n + 110 = 0, -4*n + 16 = 3*c - 58. Calculate the highest common divisor of c and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.3 (c) -3\/7 (d) 72.1 (e) -4 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(-6*h + 2*h - 5*h) - 2*h - 3*h + 3*h + 2 - 2 + 3*h to the form u + k*h and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -2\/8127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/5656 and -179\/3840.\nAnswer: 2714880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 79 - 53. Let b = i - -16. Let v = 42.00000114 - b. What is v rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 - 8391. Let d(s) = -32*s + 23. Calculate d(x(h)).\nAnswer: 32*h + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -24*y - 71. Let k(b) = 33*b + 80. Let v(m) = 5*g(m) + 4*k(m). Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 64*j**2 + 31*j + 91. What is g(-4)?\nAnswer: 991","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 257270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 2*q**2 + 0 - 1\/8*q**4 - 1\/3*q**3 + 0*q. What is the first derivative of m(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-134920.6\nAnswer: -134920.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -434 divided by 884\nAnswer: -217\/442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, v: 11}. What is prob of sequence vvv?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 340134?\nAnswer: 2721072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8) + -14 + 3 + 3 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 43 in descending order.\nAnswer: 43, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-3))\/1*(-283)\/((-56883)\/603)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 331852253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003591169 rounded to seven dps?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42499.\nAnswer: 42499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 6644 = 29*q + 7694 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 + 4*x + 5. Let v be w(-5). Suppose v*p + m - 249 = 5*p, m = 5*p - 241. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 157*x = -257505 + 1277913. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icrcirrrbribirc. What is prob of picking 3 c?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 3, a: 6, r: 2, j: 1, z: 1}. Give prob of sequence atze.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 4) to base 6.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 8, t: 2, x: 2}. Give prob of sequence mtvx.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/4 - b**3\/3 + 11*b**2\/2 - 26*b + 51. Let w be n(3). Solve -7 + w = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -33*j**2 + 11*j. Let y(g) = -8*g**2 + 3*g. Let k(p) = -3*f(p) + 11*y(p). Let d(a) = 2*a. Give d(k(w)).\nAnswer: 22*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(-4*r - 4 + 4)*(28 - 3*r - 28) + 0*r**2 + 6*r**2 - 5*r**2 to b*r + y*r**2 + n and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 185089526?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 9:25 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 4*p**2 + 126. Let g(z) = -23*z**2. Give i(g(n)).\nAnswer: -184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 10) in base 12?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/2888503 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*y - 2, 0 = 9*d - 15*d - 5*y - 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(117) - (sqrt(117) - (sqrt(117) - 2*sqrt(117)))) + sqrt(117))\/(sqrt(54)\/(-2*sqrt(6))))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 210 = -10*w. Suppose 0 = -2*r - w, -j - j + 7 = -r. Solve -j = -7*g + 6*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74548 is divided by 73?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2 = -3*b, 0 = -145*y + 137*y - 3*b + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 22441 = 3*a - 6238, 0 = 4*v + 5*a - 22938. Suppose -4*y = 3*q - v, -y - q = 4*q - 1430. List the prime factors of y.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - 301. Is (x\/6)\/((-20)\/30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 + 2671 = 4*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -42. Let j(g) = 2*g**2 + 4*g + 14. Let p be j(v). Suppose 0 = -p*t + 29*t + 12. Round t to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5253629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -h - 235, s - 67 + 11 = 2*h. Let j = -137\/3 + s. Put -2, j, 3\/2 in increasing order.\nAnswer: -2, j, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from vooooovooo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 32*s - 2*s**4 + 9*s**4 + 30*s + s**4 + s**3 - 3 to r*s**4 + g*s**2 + h*s**3 + w + y*s and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184828 is divided by 81.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7386 + 7386.3. Which is the fourth biggest value? (a) -4 (b) q (c) -0.6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppeppepeppppepeep. Give prob of sequence pepp.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181771801?\nAnswer: 131, 1387571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 0 - 1\/3*j**3 + 1\/8*j**4 + 2*j + 0*j**2 - 1\/60*j**5. Let v(w) be the second derivative of x(w). What is v(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 23685.314509?\nAnswer: -23685.214509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/3 + 184*h**3\/3 - 45512*h**2 - 6475328*h\/3 + 2476953728\/3.\nAnswer: 2*(h - 166)**2*(h + 212)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020101112011 (base 3) in base 4?\nAnswer: -22213123333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419772 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -95*u**3 + 2087*u**2 + 44*u - 191. Determine p(22).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgei when four letters picked without replacement from {q: 2, w: 3, i: 3, r: 9, e: 1, g: 1}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 7*l = l. Let j be l + 8069996 - (-3 + -2 - -1). What is j rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2 (c) 466\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**2 + 3*m + m**3 + 0*m - 3 - 1. Let c be b(5). Let l = -107\/3 + c. Is l less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 5\/2*q - 2*q**2 - 1\/2*q**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(1 - p - 1) + (-1300*p - 189*p - 519*p)*(-2 + 2 + 2*p).\nAnswer: -4014*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 6*d + 1. Let z(s) = -3*s**2 + 5*s + 2. Suppose -277 = 57*x - 562. What is x*v(c) - 6*z(c)?\nAnswer: 3*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1761300 and 4050?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3185810 to the nearest ten thousand.\nAnswer: -3190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*15\/528 - ((-8670)\/(-35904) - (-2)\/64).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80525 in 9, 1, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1457 + -1454. Let m(k) = -k**3 - 4*k + 10. Calculate m(y).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50, -99, -148, -197, -246, -295?\n\"Answer: -49*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -168*k - 102. Let p(t) = -505*t - 289. Determine 6*p(l) - 17*u(l).\nAnswer: -174*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 0*l - 2*l)*(-52*l**2 + 35*l**2 + 285*l**2) in the form z*l**2 + q + n*l**3 + o*l and give n.\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96 + 21 + 29 + r)*(2*r**2 - 2*r**2 + 2*r**2)*((-1 + 1 - 2*r)*(2*r - 2 + 2) - 2*r + r**2 + 2*r + r**2 - 4*r**2 + 5*r**2 - 3*r**2 + 2*r**2 + 0*r**2).\nAnswer: -4*r**5 + 184*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 11. Let x(y) = y - 12. Let u(p) = 3*n(p) + 2*x(p). Suppose 0 = -8*l + 6*l. Suppose l = -4*z + h - 1 + 3, -2*z - 3*h - 6 = 0. Give u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -45*j**4 - 7*j**2 - 37*j. Let f(p) = -22*p**4 - 4*p**2 - 19*p. Let w(k) = 7*f(k) - 4*g(k). Find the second derivative of w(c) wrt c.\nAnswer: 312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-1) + -6 + 7\/((-77)\/88)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1887 - -16936\/9. What is the common denominator of l and -28\/17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.782? (a) 0 (b) -4 (c) -1 (d) -717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 167. Let i = w - -84.9. Let t be (-3)\/((-54)\/(-40)) - -2. What is the fourth biggest value in i, t, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x - 2*x)*(-915*x - 563*x - 1 + 3849*x).\nAnswer: -2371*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n - 6. Suppose 0 + 5 = -5*s. Let k(p) = 1. Let r(j) = s*k(j) - d(j). Let q be r(-3). Which is the nearest to 2? (a) -2\/13 (b) q (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 15*s**3 + 15*s**2\/2 - 13*s + 51. Let c(g) = 15*g**2 + 5*g - 4. Let t(n) = -17*c(n) + 6*f(n). Find v such that t(v) = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5\/2))\/(j*j**15)*(j**(4\/17))**15 assuming j is positive.\nAnswer: j**(-305\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w - 2*w + 13*w - 3*w + 1 - 1 + (-2 + 6 - 2)*(2*w - 4*w + 3*w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 57045 and 56033 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (13 + -3 + -22)) + 7 + -42\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139226, -139227, -139228, -139229, -139230?\nAnswer: -139231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*l - 3*l. Let g be 0 + 7 + (l - 0). Solve g*q - 2*q + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1656915, -3313788, -4970675, -6627582, -8284515, -9941480?\nAnswer: -11598483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - h + 5. Let x be c(0). Suppose 0 = -5*v + j + 71, -5*v - x = j - 74. Calculate the smallest common multiple of v and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72.4 - -3.6. Let g = q + -75.9. Which is the nearest to -15? (a) -2\/5 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.51 in -59\/7, -4\/7, -8\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727547879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 430.19 + -479.19. What is the closest to s in -1\/3, -2\/11, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1584.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let q(l) = 2*l**3 + 6*l**2 + 2*l + 2. Give -4*g(f) + q(f).\nAnswer: 2*f**3 + 6*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/34800138 and 59\/10?\nAnswer: 174000690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1093428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-77)\/(-28) + 3\/(-2)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133275 and 9525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) + 22\/8. Suppose -5*v - 55 = -5*p, -h*p + 2*v + 17 + 20 = 0. Suppose 0 = 3*x - p, s - 2 = -x + 2*x. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8521 is divided by 139.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 + 2690*l**2 + 18*l + 4*l**4 + 3 - 2691*l**2 in the form x*l**2 + q*l**3 + w*l + k*l**4 + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 13*g + 1495 - 1494 = 0, 24 = 4*w - 4*g for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107201990.\nAnswer: 2, 5, 7, 19, 80603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/((-1 + -1)*-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 14}. Give prob of picking 2 d.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -493 (b) -5 (c) 2\/15 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300244?\nAnswer: 2, 7, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 837?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 + 2 = 0. Let a(i) = 6*i**2 + 14*i + 16. Let n be a(-7). Let m = n - 202. Solve m = -3*l - p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3 - 483040*z**2 + 966074*z - 483036 = 0.\nAnswer: 1, 241518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 + 585\/(-52))\/(3\/237868) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251 - 89. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3026*c**4*f*i + 2*c**3*f*i + 239*c**3*f - 4*c**2*f + 4*c**2*i - 5*c**2 - c*f*i + 156*f*i wrt c?\nAnswer: 72624*c*f*i + 12*f*i + 1434*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + b - 4*b + 2*b - 5*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - x - 26 - 6, -3*b = -5*x - 50 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byyy when four letters picked without replacement from {b: 1, y: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezjneggzzeje. Give prob of sequence ee.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/14 (c) 5 (d) -28369\/4 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffmfzfz. What is prob of sequence mffz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 0*v + v + 9 = 0, -6*v = 5*w - 7*v - 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 6*y + 3*y + 0 + 2*y + 0 + 2*y - 4*y + 4*y + (0*y + 0*y + y)*(-3 - 1 + 5) - 2*y + 0 + 0 + y - 5*y + 0*y)*(2 - 2*y**2 - 2)*(3 - 2 - 2).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 56, -8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7546\/7069 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.63 (b) -0.05 (c) -1 (d) 0.1 (e) -5 (f) -61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/21 + -1\/3. Which is bigger: j or -113?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**3 + 5*o - 1. Determine c(-2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 10*p**2 + 17*p - 16. Let j be z(8). Let c = 280 + j. Solve 0 = 4*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480, 483, 488, 495, 504, 515, 528?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + (-2 + 13 - 9) - 5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**5\/20 - 15*c**4\/8 - 193*c**3\/12 + 60*c**2 - 64*c + 2. Find q, given that j(q) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -565378.7 rounded to the nearest one hundred?\nAnswer: -565400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 34*m**2 - 207*m - 6. Let f be p(26). What is the greatest common factor of 1490 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -5)*4\/6. Suppose -3*z + 3 = -0*z. What is the units digit of (-7 + z)*(-5 - c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.375 - 8.374992063. What is t rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018086654 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1757 - 1757 + 20*x + 9*x.\nAnswer: 29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13199065?\nAnswer: 5, 11, 43, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2373 is divided by 600?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 5*u - 26*q - 110, -2*q = u - 22. Let n(w) be the first derivative of 1\/22*w**2 + u - 1\/33*w**3 + 1\/11*w - 1\/44*w**4. Solve n(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -526*m**2 - 6*m. Let w(k) = 4*k. What is v(w(n))?\nAnswer: -8416*n**2 - 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10123 (base 6) in base 4?\nAnswer: -111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/6)\/((-4)\/372). Suppose -5*o - 125 = -2*z, x = 3*z - 3*o + 2*o. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 4.7. Let z = -96 + 862\/9. Which is the nearest to z? (a) -2\/7 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) -1\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*v + 32 = -t, -28 = 2*t - 5*v. Sort -3, t, 0 in increasing order.\nAnswer: t, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/35? (a) 216 (b) -1\/3 (c) -2896 (d) -3\/5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*f - 89 + 168, 2*u + 5*f = 100 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 - 2*z - 2. Suppose -4*a + 51 = 5*p, 2*a = 4*p - p - 13. Let h = p - 3. Suppose -2*r + h*r + 2*u + 6 = 0, -5*r - 4*u - 10 = 0. Give i(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1730 - -1741. Solve -o = 16 - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -15 (b) -4 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 617.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13281746*k. Let b(w) = -2*w**2. What is c(b(n))?\nAnswer: 26563492*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25431.5ml to litres.\nAnswer: 25.4315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -88*h**3\/3 + 6*h**2 - h - 36. Let t be z(-6). Let n = t + 5696. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2136, -4296, -6482, -8706, -10980, -13316, -15726, -18222?\n\"Answer: -2*j**3 - j**2 - 2143*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17096 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 = -262. Suppose 0 = 24*u - 20*u - 100. What is the highest common factor of u and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.430961l?\nAnswer: 7430.961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -7 (b) 2 (c) 1\/4 (d) -8 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*o - 12, -3*k = 2*k - 10. Suppose -4 = -2*w, -5*w + 12 = -v + 4. Suppose -11 = v*p - 1. Sort p, o, 2.\nAnswer: p, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((81\/6)\/27)\/(10\/(-64)*4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*d - 600 = 118*q + d, -5*q = 51*d - 47*d + 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/10 - m**4\/12 + 2*m**3\/3 - 3*m**2\/2 + 5*m. Determine x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15389 + 692507\/45. Put -2, -2\/3, v in increasing order.\nAnswer: -2, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d + 6. Let y be o(4). Let p = 229 + -217. Differentiate -6*w + p*w - y - 20*w wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008945 to five decimal places.\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 69. Suppose -n + 0*n + 16 = 3*g, 15 = 3*g. Is o < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**2\/7 + 22704*h\/7 + 45400\/7 = 0.\nAnswer: -11350, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/26 and 87\/274?\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 + 51. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 12*p**2 - 20*p - 36. Let z be s(-7). Let j(a) = a**3 + 5*a**2 - 6*a + 8. Let y be j(-6). Solve -z*x = -y*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -6. Let m = -20 + i. What is the second derivative of 91*z**3 - 2*z - m*z - 80*z**3 wrt z?\nAnswer: 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.35392 - -1.89882. What is h rounded to two decimal places?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*a - 33 + 7, 4*a - 5*v = 42. Suppose a*k - 12 = 20. Let m(c) = k - 9*c**2 + 7*c**2 - 4. Let z(o) = 3*o. Give z(m(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 x when three letters picked without replacement from qqffqxqqxfxxfqqxqxq.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s*w*x + 2*s*x**2 + 2*s - 215*w - 2*x**2 - 9160*x - 1916 wrt x.\nAnswer: -4*s*w + 4*s*x - 4*x - 9160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 + 0 + 3)*(-3*q**2 + 7*q**2 - 3*q**2) - 27670*q + 27670*q + 17*q**3.\nAnswer: 15*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166408, -166407, -166406, -166405?\nAnswer: -166404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odddoo. What is prob of sequence dood?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 12, -3*y + 0*y = m - 4. Let g be -4*2\/10*m. Suppose -64 = g*v - 8*v. Calculate the remainder when 31 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u + 54 = 0. Let a = 42 - u. Let n = 101 - a. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of z**7 + z**6\/3 + 5*z**4\/2 + z**3 + 9*z**2\/2 + 2952. What is the third derivative of l(f) wrt f?\nAnswer: 840*f**3 + 120*f**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -3*k**4\/4 - 13*k**2\/2 - 9. What is the second derivative of r(b) wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10328 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3200*h**2 - 12640*h + 12482.\nAnswer: 2*(40*h - 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1201 * 0.044617.\nAnswer: 0.0053585017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -733*a**6\/15 - 531*a**3\/2 + 1947*a. What is the second derivative of x(k) wrt k?\nAnswer: -17592*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33626*m**3 - 2 - 195*m + 2.\nAnswer: 33626*m**3 - 195*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7723898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79827832*g**4 + 4813094*g**2 - 5*g?\nAnswer: 1915867968*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {l: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5116.008mg?\nAnswer: 5116008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -0.1, -0.0594, 0.1, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39924 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**2 - 44. What is the hundreds digit of h(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + -806.\nAnswer: -866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -25*f + 242. Determine b(16).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2*c**3\/3 - 17*c**2\/2 - c - 9. Let j(v) = 3*v**2 - 25*v - 1. Let f(m) = 5*j(m) - 7*t(m). Determine f(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -75 - 3?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24526144 is divided by 216.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/15089 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 4. Let p be i(-5). Suppose -4*s = -2*c - 30, -2*s - 5*c - p + 49 = 0. Is 9 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 3 - 4*a**3 + 3*a**2 - 2*a**2.\nAnswer: -4*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**3 + 9. Let m = -101 - -97. Let g(j) = 26*j**3 - 27. Let w(d) = m*g(d) - 11*c(d). Differentiate w(f) wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23308566*q**2 + 1551574*q wrt q.\nAnswer: -46617132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.48936687 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4996, -9983, -14970, -19957, -24944?\nAnswer: -29931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d. Let w(g) = 2 + 4*g**2 - 2 - 7*g**2. Calculate v(w(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 1450 = 0. Let x be (-2)\/1 + (-1 - 36010\/25). Let u = b + x. Calculate the common denominator of u and -59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 8 = -7*z. Find the second derivative of -3*i - 4*i**4 + i - 2*i + 6*i**z wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + u - 44. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2524, 2416, 2310, 2206, 2104, 2004, 1906?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 3. Let w = -3 + -3. Let j = -11 - w. What is the nearest to 1 in p, 1\/2, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 129724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222202 + 1121?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Suppose f = t - 0*t - 39. Suppose -6*k + 3*k + t = 0. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -602 - -1097. Let b = 494 - u. Which is greater: 14 or b?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -101, 0.04, 15677?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 2*m**2 + 9*m + 5. Determine h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4003719 tonnes to milligrams.\nAnswer: 400371900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*177830.\nAnswer: -53349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -161*y + 493. Give b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -379 and -0.038195507.\nAnswer: -379.038195507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5616 and 288.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-1)**2*4 - -2*(0 + sqrt(448)) - (sqrt(448) + (2*sqrt(448))**2*2 - (-2 + (sqrt(448) + 1)**2)).\nAnswer: -1345 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 252 = u - 843, 6 = 3*m. Suppose -4*i - 5*w = -2139, 0 = -5*i + 7*i - 3*w - u. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170) + 2*sqrt(170) + sqrt(170) + sqrt(170)))\/sqrt(10).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4027*d**3 - 12009*d**3 + 3942*d**3 + 4029*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072972 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: Solve -54*y - 1389 = 120*y + 525 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 238130733?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20513*i**3 - i**2 + 1175*i + 33.\nAnswer: 123078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5103) - (-1 + (-2*sqrt(5103) - sqrt(5103)) + sqrt(5103) + sqrt(5103)))*2 - ((sqrt(504)*1 + sqrt(504))*-3)\/(sqrt(72)*6 - sqrt(8))).\nAnswer: 1 + 1854*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555955201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 12*v**2 + 576 - 1\/3*v**3 + 180*v = 0.\nAnswer: -6, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 6*m + 3. Suppose 2*h + 0*v + 17 = -v, 0 = -h - v - 11. Let g be s(h). Suppose -x - g = -25. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18950 * -34.\nAnswer: 644300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*v = -0*k - 18, v = 5*k + 18. Let b be 2\/(-3) + (-14)\/k. Solve 0 = b*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 359 + -361. Let k(j) = -3*j**2 + 4*j + 2. Let r(v) = 3*v**2 - 5*v - 2. Let y(z) = 5*k(z) + 4*r(z). Determine y(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2840824 <= -5681649\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 19, -34230, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/11)\/(y**7*y))**(-5)*(((y*y**10)\/y)\/y**(-6))**(-1\/15) assuming y is positive.\nAnswer: y**(6574\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 10*m - 4*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 2\/7, -1\/114, 48, 0.4, 0.02?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -443, -912, -1411, -1946, -2523, -3148, -3827, -4566?\n\"Answer: -q**3 - 9*q**2 - 435*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57733951.\nAnswer: 11, 19, 276239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1369*q**2. Let r(n) be the third derivative of -n**5\/10 + 2*n**2 - 1098*n - 2. Determine r(o(s)).\nAnswer: -11244966*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121101 - -2230?\nAnswer: -112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a. Let l(c) = -3*c - 7. Let s be l(-5). Let z(w) = w. Let y(i) = s*z(i) - 3*f(i). What are the prime factors of y(-15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133*p**3 - 18 + 48*p**3 + 146*p**3 + 6 wrt p?\nAnswer: 183*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -6*v + 10*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 25525586.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzndnnddadzaa. What is prob of sequence nna?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*r - 21, 2*w = 5*w - 5*r - 25. Solve 4*t - 3 = w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 5*k**2 - k. Suppose 22*h - 149 = -39. Let g(n) = -2*n**3 + 6*n**2 - 2*n. Calculate h*x(f) - 4*g(f).\nAnswer: -2*f**3 + f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 (base 7) in base 13?\nAnswer: 2cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3224, -6463, -9702?\n\"Answer: -3239*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*a**5 - a**3*b - 6176*a**2*b + 94*a*b + 2*a + 1592 wrt a.\nAnswer: -1300*a**3 - 6*a*b - 12352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 31 and -42402.\nAnswer: -42371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/13)*w)**(2\/41)\/(w\/w**(-8)*(w\/(w\/w**(-12))*w)\/w) assuming w is positive.\nAnswer: w**(1619\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 5*h**3 + 11*h**2\/2 - 4*h - 4. Is m(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(sqrt(1452) + sqrt(1452) + -1)*2*4*-2)**2.\nAnswer: -12976128*sqrt(3) + 856571904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 57 = 5*x - 50, 0 = 3*x + n - 69. Calculate the lowest common multiple of (2\/5)\/((-1)\/(-75)) and x.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 less than 449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**2 + 15*m**2 + 2527 + 4*m - 2525 as d*m**2 + h*m + w and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.004378 - 0.295622. Let p(s) = -s**2 - 4*s - 5. Let a be p(-4). Let h be (-6)\/(-14)*4\/(-6). Put h, l, a, -3 in descending order.\nAnswer: h, l, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2907799.\nAnswer: 174467940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:23 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -58*z. Let y(i) be the second derivative of i**4\/12 - i**3\/3 - 2*i - 4. Let g(w) = w**2 + 4*w. Let o(q) = g(q) + 2*y(q). What is v(o(p))?\nAnswer: -174*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) + (-3)\/(-5). Let s = 0.9 - -0.1. Which is the closest to s? (a) -4 (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(136)*-1 + sqrt(136))*-4 + sqrt(136)))\/((sqrt(72) - sqrt(72)*2)*-6).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (21 - 11) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/6 + 5*t**3\/6 - 5*t**2\/2 - 14*t. Let q be y(-4). What is the smallest common multiple of q\/(14\/(-4))*3\/(-2) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66.95*8\nAnswer: -535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 352095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)*f\/f**(2\/15)*f*(f**(-2)*f)\/(f**(-2\/3)\/f)*(f\/(f*f**(1\/5)*f*f))\/(f**6*f)*(f\/(f*f**(1\/4)\/f))**44 assuming f is positive.\nAnswer: f**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -574\/347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let d(c) = -c**2 + 4*c - 12. Suppose 40*v - 48 + 8 = 0. What is v*d(l) + 2*x(l)?\nAnswer: -l**2 + 2*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 380615 = -5*l, -349*l + 350*l = -2*n + 152234. What are the prime factors of n?\nAnswer: 3, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75603, -75599, -75595, -75591?\n\"Answer: 4*r - 75607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 3.76.\nAnswer: 30.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 53*j - 36. Let x be n(26). Let w be (x\/6 - -2)\/(55\/(-45)). Sort w, -3, -4 in ascending order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3940960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -516, -536, -570, -618, -680, -756?\n\"Answer: -7*x**2 + x - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 836046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3)*x)\/x)**(-2) assuming x is positive.\nAnswer: x**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 22*c**2 + 3*c + 5. Let a be j(14). Suppose a + 1493 = 12*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8204 - 2746. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*q + 65 = -q, 3*q + 29 = 2*z. List the prime factors of ((-3)\/(-2))\/(4\/z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 333170.\nAnswer: -3\/333170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (218\/(-13) + 335 + -313).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2915990101\/1294653 - 2\/431551. Suppose 5*d = 3*d + 4458. Let i = d + c. Calculate the common denominator of -89\/10 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1630 + 6433\/4. Let h be (-2)\/1638*5387 + -1. Let p = 5\/819 + h. Find the common denominator of p and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 + 260. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 212?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295895446.\nAnswer: 2, 7, 11, 107, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 33. Let r = 8.824 - i. Let b = -0.176242 - r. What is b rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4\/9, -187?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 988784 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 2365?\nAnswer: 3\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 24*a**2 + 35*a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1591 + 1605. Solve -3*m = 9*q - d*q, -m - q = -8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-30))\/3 + (-1986)\/(-10). Suppose 3*u + 82 = z. Let b(n) = n - 3*n + 25 + 15 - u. Determine b(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1100\/9 + 122. Let p = -2\/65 + 41\/65. Let m be (8\/114)\/(4\/6). Which is the smallest value? (a) p (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**4\/16 - p**3\/2 - p**2\/8 + 3*p\/2 - 22. Factor r(i).\nAnswer: (i - 6)*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.2. Let p = 32 + 24. Let q = p - 54. Which is the nearest to -0.2? (a) h (b) 3\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4980 + 4980. Let x(q) be the second derivative of -2\/3*q**3 - 3*q + 0*q**4 + 0*q**2 + j + 1\/5*q**5. Let x(u) = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.51 + -5.84. Let t = a + -0.15. Round t to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 6*k - 4. Let t(g) = 4*g**2 - 6*g - 4. Let j(h) = 6*t(h) - 5*v(h). Let i be (-25 + 26)\/((-3)\/6). Let o be j(i). Solve 4 = -o*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -57.4. Let p be (-2)\/4 + (-380)\/8 - -1. Let t = p - -93\/2. What is the nearest to t in -2\/13, z, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Let o = 5 - 0. Suppose 4 - 16 = -5*c - 2*g, 5*c + o*g = 0. Solve c*j + 20 = 0, 27 = -5*l - s*j + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/11)\/h)\/(h*h*(h*h**13*h)\/h*h*h))\/(h*h**(-2))**12)**37 assuming h is positive.\nAnswer: h**(-2775\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 5:19 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -139.\nAnswer: 26\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 7*k - 150 = 5*v - 2*k, 0 = 2*k + 403 - 343 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7412689.00277 + 7412728. Let m = n - 39. What is m rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -45\/2. Let x = 58 - 57.5. What is the second smallest value in w, x, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 19 - 26 + (2 - 2 - 2)*(2 + 0 - 1))*(31 + 28*w - 31).\nAnswer: -1680*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/((-8)\/32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 1ca?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = l + 2*g, l + 4*g - 7 = 0. Suppose 5*b = -3 - 12. Let r = l - b. Solve y - r*y = -4, q + 16 = 4*y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1036656 by 4.\nAnswer: 259164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.72, -4, -5, 2113 in decreasing order.\nAnswer: 2113, 6.72, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**2. Let x(g) be the first derivative of 19*g**2\/2 - 333. Calculate x(w(a)).\nAnswer: 323*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 16. Let q = k + 5. Let j be -1 - 4\/(-5) - 0. Which is the biggest value? (a) -5 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (3 + (13 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/90 + 23*n**4\/54 - 8*n**3\/9 + 1745*n. Factor i(q).\nAnswer: 2*q*(q - 1)*(q + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(19) + -3)**2 + -2 + sqrt(931) + -2.\nAnswer: -144 + 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102612 by 4.\nAnswer: 25653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 2, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 46698051?\nAnswer: -46698048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 y when four letters picked without replacement from rhyythttprhrygg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m**6 + 0 + 0*m + 0*m**4 + 8*m**2 + 0*m**7 + 0*m**3 + 1\/42*m**8 + 7\/60*m**5. What is the third derivative of b(d) wrt d?\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/78)\/((-260)\/6864*-22).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 18 = -5*o, -4*u - 5*o = -5 - 41 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 8?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -272, -593, -1134, -1967, -3164, -4797?\nAnswer: -6938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 51 = -3*b, -s + 34 = s + 2*b. Let r = 21 - s. Solve 11*t**3 - 5*t**3 + 2*t**3 + 4 - 8*t - r*t**4 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1764.99 + 1764.9299944. Let y = o - -0.06. Round y to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.10721 and 0.08.\nAnswer: -0.0085768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-2))\/((-6)\/(-8)). Let y be ((-8)\/10)\/(2\/(-5)). Suppose -y*n - 2*g = s*g, g = 3*n - 14. What is the least common multiple of n and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -27*v + 16. Is u(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/48, -4\/3, 5, 2\/23, -2, 5\/2 in descending order.\nAnswer: 5, 5\/2, 2\/23, -1\/48, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 473151, 473153, 473155, 473157, 473159?\n\"Answer: 2*o + 473149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -378c - -2?\nAnswer: -378a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 50639 + 371793 - 56040. List the prime factors of a.\nAnswer: 2, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 296, 445?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -209, 3, 4, 2106?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 5*b = 0. Suppose q + 4*i = -1 - 3, -q + 4*i + 12 = b. Solve 0 = q*u - 4*k + k + 4, u = -k - 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -163, -578, -1407, -2788, -4859, -7758?\nAnswer: -11623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 24*v = -135. Let z be (40\/50)\/(((-2)\/(-2))\/v). Solve -5*j + 24 = -y, 0 = 5*y - 2*y + z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.02 (b) 0 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 9. Let u(q) = -15*q**2 - 85*q - 10. Let r(w) = -16*w**2 - 85*w - 12. Let i(j) = z*r(j) - 4*u(j). What is d in i(d) = 0?\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvllllvvllvl. Give prob of picking 3 l.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1000 and 32?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 = -5*h. Let d be -1*h*325\/(-10). Suppose 3*f - 4*q - 133 = 0, 4*f + 5*q - 6 = d. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 15. What is the smallest common multiple of j and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -5, 3, -1, -31860 in decreasing order.\nAnswer: 79, 3, -1, -5, -31860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013203108425 to 7 dps.\nAnswer: -0.000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1 + c + 42*c**2 + c**3 + 0 - 39*c**2. Calculate m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 17*x**3 + 19 + x**2 + 2 + 7*x - 8 - 13 to c*x**4 + f*x + n + r*x**2 + l*x**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670 and 13266?\nAnswer: 66330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**4\/4 - 4*w**3\/3 - 3*w**2 - 7*w + 2. Let x = 76 + -79. Let c be f(x). What is the highest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9620175, -9620142, -9620109, -9620076?\nAnswer: -9620043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*l - 7 = 2*l, l = -5*p - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57669, -7, -144.\nAnswer: -57669, -144, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/43 (b) 20 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/60 + w**4\/24 - w**3\/3 - w**2. Let z be q(-2). Let l be (6\/(-10))\/((-189)\/70). Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 16*j**2 + 5*j + 65. Calculate g(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 11. Determine r(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = f + 3*d - 4, -d = 5*f - 20. Let c(r) = 4*r - 6. Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 79200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 10*m - 12. Let j be t(-6). Suppose j*f = 1022 - 314. Suppose f = z - 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2966244 (base 10) to base 5.\nAnswer: 1224404434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.1342 kilometers to centimeters.\nAnswer: 14813420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -18155.\nAnswer: -128\/18155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + k = -16 + 2, -41 = -5*v + 4*k. Sort v, 3, 1, -3 in ascending order.\nAnswer: -3, 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1512425 - -3?\nAnswer: -1512422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4158 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/138 and 101\/8694?\nAnswer: 8694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.022? (a) 4\/5 (b) -2\/423 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n + 48. Let h be a(-4). Let p(b) = -b**3 + b**2 + 2*b + 6. Give p(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/((-70125)\/100)*240\/(-288).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/3 (c) 76896\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnsqjnjqjwww. What is prob of sequence jw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 37.8, -1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-111)\/(-148))\/(6\/948208) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 + 14335*s + 2*s**2 - 14340*s. Let a(k) = -24*k**2 + 14*k. Give 5*a(q) + 14*l(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/2*-2 + -2 + -1. Solve 0 = -3*p + 3*i + 9, 3*p - 5*p - k = 4*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -252 + -29a?\nAnswer: -51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Let j = 47 - 42. Suppose 2*q - k*q = j*v - 155, 0 = -q - 5. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845131?\nAnswer: 353, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:08 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j - 4*h - 456, 912 = -4*j - 2*h. Let n = 260 + j. What is the smallest common multiple of 28 and n?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -269 - -6457\/24. Let i(a) be the third derivative of 0*a + 2*a**2 - 1\/3*a**3 + j*a**4 - 1\/120*a**6 + 0 + 1\/30*a**5. Suppose i(q) = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + -310234?\nAnswer: -310423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/11184 and -19\/20.\nAnswer: 55920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/60 + u**4\/6 - u**3\/6 + u**2. Let b(h) = h - 1. Let f(l) = -2*b(l) + k(l). What are the prime factors of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 176 and -0.44?\nAnswer: -77.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(468) - 2*sqrt(468))**2 + sqrt(143)\/(sqrt(539) - (sqrt(539) + sqrt(539)*-2 + sqrt(539))).\nAnswer: sqrt(13)\/7 + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11995 + 124121 = 7*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5248 and 72?\nAnswer: 47232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.6 (b) -0.1 (c) 1\/2478\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + 0.0707895686348\nAnswer: 0.1607895686348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 7 + 4*x + 4*x. Let u be g(-7). Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 2 + -1 - 3. What is the remainder when (9\/v*76)\/(-6 - -4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0913106721 to three decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1805, 1576, 1321, 1034, 709, 340, -79?\nAnswer: -554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 > -2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2. Let c(g) = 64*g**2 + g. Give b(c(w)).\nAnswer: -8192*w**4 - 256*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/371120 and -7\/5288460.\nAnswer: 21153840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(7\/6)\/((s**(2\/9)*s)\/s)*s**(-1\/9)*s**10 assuming s is positive.\nAnswer: s**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 101*d - 21*d + 58*d = 4746 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 26. Let c = o + -23. Solve -3*b = -c*u - 15, 3*b + 12 = -4*u + 5*b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 3*u**2)*(0*u + 2*u + 3*u) + u**3 - 2*u**3 + 0*u**3 as t*u**3 + a*u**2 + q*u + i and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.5 - -10. Let t = -3 - n. Let j = -1\/58 - 51\/406. Sort j, -4, t.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**3 + 20*v**2 + 44*v + 39. Let u(i) = 7*i**3 + 20*i**2 + 43*i + 36. Let p(h) = 7*u(h) - 6*z(h). Solve p(m) = 0 for m.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*6 + (sqrt(27) - sqrt(189)\/sqrt(700)))\/(-3*sqrt(576)*4*-5).\nAnswer: 83*sqrt(3)\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m + 139*m = 33484116. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*s + 676, -4*s = -0*d - 2*d + 362. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326198480389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 9. Let v be s(-5). Suppose -5*j - 174 = -a, -5*a + 740 = 5*j - v*j. List the prime factors of a.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/20 and 53\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/14 + ((-30)\/(-56) - 13\/52)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10)\/(-35) - (-3459)\/21 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 10 + 2)*(-2*a + 1 - 1)*(-3*a + 2*a + 3*a) + 1 + 3*a**2 - 3 + 0*a**2.\nAnswer: -73*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68410*l**4 + 35*l - 23 wrt l.\nAnswer: 820920*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - -64) + (26 - 9) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 - -54. Let d = k + -4. Let t = -25 - -21. What is the nearest to 0 in t, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27875*l**3 - 52440?\nAnswer: -83625*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 5. Let j be y(-5). Let v(m) = m + 1. Let g(b) = 4*b + 3. Let r(w) = j*v(w) + g(w). Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59310 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12\/60)\/(6\/90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y - 2. Let r be v(1). Find the third derivative of -2*j**5 - 8*j**2 + 0*j**5 + 2*j**5 + 8*j**r wrt j.\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*z - 520, 2*z - 342 = w - 76. Calculate the remainder when 245 is divided by z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -50. Let g(i) = -i + 10 - 12 + d. Let k(n) = 14*n**2. What is k(g(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59445 or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -7 - 13. Suppose -m*i = -11 + 7. Let s(j) = 3*j + 2 - i + 4 - 2. Give s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.528 times 2.5?\nAnswer: -21.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 362 = 5*t - 6*y, -4*t - y + 289 = 0. Let l = t + -39. What is the greatest common factor of 102 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**7\/1155 - 2*d**6\/165 + 4*d**5\/55 - 8*d**4\/33 + 16*d**3\/33 - 1144*d**2 - 1. Factor l(x).\nAnswer: 2*(x - 2)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.52 or 381?\nAnswer: 18.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210914 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -2261, -7898, -18945, -37208, -64493, -102606?\nAnswer: -153353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1 - (-26)\/6)\/1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 - 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28886057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let k(q) = q**2 - 5*q - 8. Let u(s) = 2*s**2 + 70*s - 40. Let d(g) = 5*k(g) - u(g). Calculate d(z(v)).\nAnswer: 12*v**4 - 190*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 491\/14 + -69\/2. Let n(q) = -q + 13. Let a be n(9). What is the nearest to -1\/2 in 0.3, a, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -40*c**2 + 5*c + 1. Let k(n) = -41*n**2 + 4*n + 1. Calculate 5*k(f) - 4*p(f).\nAnswer: -45*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18966506 - 12653506. What is r rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47155 = -t + 2*r, -116461 - 25009 = -3*t + 7*r. What is the ten thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1365 divide 1808811732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 596180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 28. Let f be g(-24). Find the first derivative of 67*i**4 - 1 + 0 - 54*i**f wrt i.\nAnswer: 52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434369 to the power of 1\/2, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 + 4*s**2\/5 - s\/5 - 6\/5.\nAnswer: -(s - 3)*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 40*v**2. Let s(f) = 6*f + 4. Let i(a) = 2*a + 1. Let t(w) = 4*i(w) - s(w). Calculate p(t(b)).\nAnswer: 160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 610, 535, 388, 145, -218, -725?\nAnswer: -1400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 542 = -1874. Calculate the lowest common multiple of 72 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6692*1\nAnswer: -6692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (261\/3045)\/(2\/10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40578537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qimhllmqqhmqmb. Give prob of sequence hqqm.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.519775 times 2?\nAnswer: 187.03955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20537192 to the power of 1\/2, to the nearest integer?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3, -138 = -3*b - 3*m. Suppose -14*t = -b - 259. What is the remainder when t is divided by (1 - 2)\/(1\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/18*(-4 - (-56)\/20). What is the second biggest value in s, -3, 0.07, 0.3, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 7*l + 3. Suppose 4*p = 5*f + 32, 5*p - 5*f - 16 = 3*p. What is the tens digit of u(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1272.87 times 0.05\nAnswer: -63.6435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.3 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in -4.98, 2, -59\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -739\/18 - -83\/2. Suppose 0*i = -3*i - 3. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 1963\/347?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -50\/163?\nAnswer: -50\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55227 divided by 123.\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 54 + 209. Suppose 5*v = 4*x + 241, 2*v = -5*x - a + 134. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010010 (base 2) to base 9.\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 64*g + 222. Let t be m(-3). Let o(b) = -b**3 - 4*b**2 + 9*b - 8. Determine o(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 28. Let n = 7 + s. Suppose 2*q - n - 32 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -81. Suppose 2*l = q + 55. Suppose 5*k + l = 14*k. Solve -k*a = -4*y - 14, 4*a + 0*y - 12 = 4*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Suppose -5*y = 11 + 4. Let d(w) be the first derivative of w**2 + 2*w - 9386. Calculate y*d(p) - 4*c(p).\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28959815849 + 0.042.\nAnswer: -28959815848.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 15, -2*y + 5 = -5*c - 34. What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*d - 114*d = 683*d + 75480 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-63)\/(-36))\/(2\/24). Suppose -2*v = -5*s - 14, -4*v + f - 5 = -4*s. Let a be 0\/(-1*((-2)\/1)\/v). Which is bigger: a or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/(-76) + (-16)\/28*77\/(-22). Suppose -2*d = 3*r - 6*d + 52, -5*d - 16 = 3*r. Sort r, 1\/7, k in decreasing order.\nAnswer: k, 1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((2 - -3) + 1). Let x be 0*(-2)\/a + 3. Solve 5*d + x*f - 19 = 0, d + 0*d - 2*f = 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -2*p + 1. Suppose -p + 55 = 5*x. Suppose -3*r + x*n + 85 = 0, -6*r + 131 = -r + 4*n. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 102171*v**4 + 3470634*v**3 - 9786906*v**2 - 398693421*v + 405111861 = 0. What is v?\nAnswer: -9, 1, 21, 34023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800 = i - 2*m, -i - 4*m + 2803 = -9*m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174890629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083488?\nAnswer: 2, 3, 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -77872 take away 54896?\nAnswer: -132768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633909068?\nAnswer: 2, 13, 12190559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 3*s**8\/28 - 5*s**7\/14 + s**4\/6 + 7*s**3\/2 + 2*s - 52. What is the third derivative of z(l) wrt l?\nAnswer: 720*l**3 - 900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.3 + 4.22. Let w = f + 0.07999914. What is w rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3083 - 3078. Suppose -3*q = -5 - 4. Let h(u) = 0*u**2 - q*u - 7 + 2*u**2 - 2*u + 4*u**3. Let b(j) = -5*j**3 - 2*j**2 + 6*j + 8. Give l*b(a) + 6*h(a).\nAnswer: -a**3 + 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.34 * -2354973\nAnswer: 3155663.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98165 and 580.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 3. Let r be o(8). Suppose 4*z - 6 = -s + 5, -2*z + r*s = -33. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -1 + -2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5254 and 1406?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3459, -6920, -10383, -13848, -17315, -20784, -24255?\nAnswer: -27728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 4. Let c be p(0). What is the smallest value in c, 1, 2\/11, -0.05?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -733\/5 or -42.69?\nAnswer: -42.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2281 + -1557. Let s = k - 726.91. What is s rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32204 and 18.\nAnswer: 289836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let r(x) be the second derivative of 9*x**3\/2 + 6*x - 5. Calculate m(r(v)).\nAnswer: -54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcpwvcscpvck. Give prob of picking 1 w and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -189, -512, -1035, -1758, -2681, -3804?\n\"Answer: -100*g**2 - 23*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g = -29*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -22) + (-2 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 249696?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6603716 kilograms in milligrams?\nAnswer: 660371.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 21*o - 34. What is r(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 25 + 17 = x, -2*b = -5*x - 63. Suppose -d + b + 13 = 0. 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 v(g) = 480*g**3 + 1080. Let b(d) = -15*d**3 - 34. Determine 65*b(w) + 2*v(w).\nAnswer: -15*w**3 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*r**3\/9 + 1264*r**2\/9 + 1568*r\/3 = 0. What is r?\nAnswer: -588\/11, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3713*o + 1 - 4 - 6. Let p be i(7). What is p rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 11:46 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3791*z + 145565 + 73107 + 290112 - 31118 for z.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -33*z**2\/2 - 67*z + 1745. Determine x(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -68 in -0.75, 0.1, 54, -0.2?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (203\/(-29) + 12)\/(10\/8). Solve h*v - 4 = -2*i, 5*v - 61 + 56 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 8730183?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/5 + 1 + 100\/(-250)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 0 - 5\/2*c**4 + 3*c**2 - 1\/2*c**3 + 4\/5*c**6 + 5\/14*c**7 - 51*c - 3\/5*c**5. Factor n(v).\nAnswer: 3*(v - 1)*(v + 1)**3*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1)\/(-2)*-2927. Suppose -u - 4*g = -886, g = 3*u + 295 - j. What are the prime factors of u?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**4)\/(g*g\/(g*g\/(g*g**(2\/9)*g))))**(-18\/5))**(-32) assuming g is positive.\nAnswer: g**(-3008\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*k + 20 = -2*k, 4*k = -8. Calculate the remainder when i is divided by 1\/(-4) - (-13)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - -0.03886?\nAnswer: -0.05114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393013215 to the power of 1\/2, to the nearest integer?\nAnswer: 37323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14333 + 25146 + 25036 = -341*o + 3454 for o.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.03669, 0.3, 3798?\nAnswer: 0.03669","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/1 + (1 - 3). Suppose -r + v = -23. Suppose -5*x + 144 = 4*g, 2*g - r - 92 = -4*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32995, 45903, 58811, 71719, 84627?\nAnswer: 97535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-5 + sqrt(2)) - (sqrt(1152)*4)**2.\nAnswer: -18430 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3036 = 11*x + 4*x - 2841 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 + 155*f**2 - 6232*f + 17328 = 0. What is f?\nAnswer: 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301 + -292. Suppose -o*q = -866 - 43. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5395.9 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165 or 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 15*j**2 + 2*j + 11. Calculate x(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxhxpdddddpxddhxhd. What is prob of picking 1 p and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -16, -44, -86, -142?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35030, 35020, 35000, 34964, 34906, 34820, 34700, 34540?\nAnswer: 34334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 4*b**2 - 2. Let a(k) = 4*k**3 + 9*k**2 + k - 5. Give 4*a(h) - 9*x(h).\nAnswer: -2*h**3 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.1 + 8.6. Let p = -2.50051 - n. Round p to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b (base 14) in base 16?\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y + 166. Let k be r(18). Put 20, -5, -4, k in ascending order.\nAnswer: -5, -4, k, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/8)\/(65\/17680)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.09895l?\nAnswer: 62098.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 385.3?\nAnswer: -77.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/3 of a year?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10118 is divided by 183?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Suppose b + c*b - 55 = 0. Let l(n) = -n**2 + 3*n + 1. Let m be l(3). Put b, -1, m in descending order.\nAnswer: b, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 + 47*g - 22. Give y(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, 168, 803, 2184, 4593, 8312?\n\"Answer: 47*p**3 - 50*p**2 - 8*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*n*r - 2*i**3 - 635*i**2*n*r + 2133*i*r + 5639*n - 31 wrt r.\nAnswer: i**3*n - 635*i**2*n + 2133*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3361*a**2 + 3352*a**2 - 6713*a**2 - a**3 + 1 + a. Let k(n) = -4*n**3 + n**2 + 6*n + 4. Give -k(f) + 6*p(f).\nAnswer: -2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/15 + 0 + 2\/10. Let z be y\/3 - (-56)\/8. Let r(w) = -9 + 15 - 2*w**2 - z. Let i(a) = -4*a**2. Determine r(i(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27769.31 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 1404 = 1935. Which is bigger: -44 or j?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -660029, -659951, -659873, -659795?\n\"Answer: 78*p - 660107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.02, -7575\/4106.\nAnswer: -7575\/4106, 0.02, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-3)\/(-6)*-3))\/(35\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 4*o**2 + 2*o - 7. What is w(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1.69.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.38067 - -0.61933. Let o = 19 - 2. Which is the second smallest value? (a) o (b) u (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1, 28, 0.2, 39?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -6*(sqrt(171) + sqrt(171)*2 - sqrt(171)) + sqrt(171))\/(sqrt(18)\/(sqrt(6)\/sqrt(3))) - ((sqrt(475) + 0 + sqrt(475) + 2)*-2)**2.\nAnswer: -7616 - 170*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -79, 759, 2985, 7205?\nAnswer: 14025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*d - 488 + 176, -606 = -4*r + 3*d. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.6 to 0 decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from {n: 1, k: 1, p: 1, a: 3, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(6480) + 1*sqrt(6480))\/sqrt(9).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -77, -78, -81, -86, -93?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 4)*(-15*u - 24 + 16*u + 3) in the form c*u + b and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*r - 12 + 6 + 124*r - 279*r)*(2 - 1 - 2).\nAnswer: 74*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -160, -688, -1584, -2848?\n\"Answer: -184*f**2 + 24*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 16*r + 120 = -8*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1451315 + 2902591 - 1451276 + 13*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000806 to 7 dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -52?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880556, -1761115, -2641672, -3522227, -4402780?\nAnswer: -5283331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -166, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 30676024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49*-0.05\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102222211 (base 3) in base 12?\nAnswer: -1454a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 2*n**3 - 2*n**3)*(2*n**2 + 2*n - 2*n) - 10*n - 3*n**5 + 10*n + (-4 + 1 + 2)*(0 - 2*n**5 + 0).\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbekkbbb. What is prob of picking 2 b, 1 k, and 1 e?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - 3. Let q(t) = 4*t**3 - 4. Give 3*n(c) - 4*q(c).\nAnswer: -c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1313283\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*d - 6 = 7, -3*t - 1 = 2*d. Suppose t*p + 3 = 18. Solve 25 = p*k - 0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.666 and -0.0819?\nAnswer: -0.9554454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(363) + -1)*6 - (-4 + ((sqrt(24) + (sqrt(24) - sqrt(24)*-1))\/sqrt(8) - sqrt(3))**2)).\nAnswer: -16 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.133 (c) -0.5 (d) 0.2 (e) -2 (f) 0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 2*m**2 + 3*m**2 + (0*m**2 + 0*m**2 + 2*m**2)*(1 - 2 + 3) + 49*m**2 - 208*m + 20*m**2 + 208*m as z + i*m**2 + q*m and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 1, p: 2, a: 2}. Give prob of sequence vat.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -718*d**2 + 1433*d**2 - 715*d**2 - 361*d**4 + 671 wrt d?\nAnswer: -1444*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:48 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3014320 and 0.2.\nAnswer: -602864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5. Suppose 0 = -w - 3*w - 3*c + 42, -2*c = -k*w + 41. Let a(u) = u + 11. What is the lowest common multiple of w and a(8)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + -3*(2 + sqrt(2736) + 1 + 3)**2.\nAnswer: -8315 - 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and (-9)\/(-396)*-11 - (-5361)\/8*2?\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -42. Suppose -9*f = 2*u - 7*f + 2, -f - 16 = -4*u. What is the highest common factor of u and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1224 by -6.\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 854 and 111729247?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 378 = -118. Let v = m - 1. Let j = v + 202. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4)**(-48)*h**(16\/7)*h*h*h**(-17))**(-2\/11) assuming h is positive.\nAnswer: h**(2866\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11 - 12*t - 11*t + 23*t**2 + 23*t. Let m(r) = 8*r**2 - 4. What is -4*l(u) + 11*m(u)?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 5 = 2*q - 3, 4*q = 2*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84241478\/749 + 112472. Let j = f - -80641\/14980. What is the common denominator of 4\/14 - (-2553)\/252 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*u + 2*d, 3 = 3*u - 5*d - 7 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 2 + 3*p + 426553865*p**2 - 426551645*p**2.\nAnswer: 2220*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 22*c**2 + 3*c - 38. Calculate q(22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7162, -12612, -18066, -23524?\nAnswer: -28986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-3\/4)\/q)\/q))\/((q**(-3)\/q)\/q*q))**(-4\/29) assuming q is positive.\nAnswer: q**(-27\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14, -4, 88 in ascending order.\nAnswer: -4, 0, 14, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156752031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/169 in 0.1, 0.3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*i + 33*i - 120 = 0. Solve 7 = -4*n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than or equal to -2\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 c when three letters picked without replacement from ccbcbbbbbbbbcbbbbbb.\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17417193?\nAnswer: 3, 43, 135017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v - 21*v - 23*v - 20*v + 14*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(35)\/sqrt(175).\nAnswer: sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 3*w**2 + (w - 3*w + 4*w)*(2*w - 3*w + 0*w))*(-2 - 1 - 4).\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -15, -0.5, 3 in decreasing order.\nAnswer: 3, -0.5, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8524211 + -4?\nAnswer: 8524207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2 + 1 - 1 + 25*s + 1 - 27*s = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 45, 98, 171, 258, 353?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -315, -2598, -8803, -20892, -40827, -70570, -112083, -167328?\n\"Answer: -327*w**3 + w**2 + 3*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -108aa2 - 457?\nAnswer: -109339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1345422?\nAnswer: 2, 3, 13, 47, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(10\/(-195)))\/((-864)\/(-128)))\/(-2)?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 103. Suppose q = 29*h - 5669 - 5525. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57529291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 2*g + 9. What is the units digit of a(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 624455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 169116080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*t + 4 = 64*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -630 + 652. Suppose 21*w + 126 = d*w. What is the lowest common multiple of 112 and w?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 5, o: 1, s: 3, p: 1, f: 2}. Give prob of sequence pf.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1258 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 199 = 49*u. Solve 2*c = -5*l + 20, -4*l = -2*l + u*c - 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4\/5 + 16*f**3\/5 - 51*f**2\/5 + 36*f\/5 = 0.\nAnswer: 0, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29218 by 14609.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9\/15 - (1672\/80)\/19\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -3*c. Let i = 7 + c. Suppose 4*s + 5 = 5*f, i*f - 43 = -4*s - 8. Let k(l) = -l + 2. Determine k(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -8, -94, -1924\/5?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, m: 2, s: 2}. Give prob of sequence ms.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144163 (base 8) in base 6?\nAnswer: 1033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4225 is divided by 1089?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 2*k**3 - 40*k + 40*k.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 5*z - 7 + 3, 5*x = -4*z + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4.97, 0.3, 2\/11, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/8)\/z**(-6\/37)*z**(-2\/119)\/z*z*z**(-5\/16))**(-44) assuming z is positive.\nAnswer: z**(420123\/17612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) - (-1144)\/3. Suppose r - a = 252. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352977040 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1cdf + 5?\nAnswer: 1ce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-6) - 21050\/(-60).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131900561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q - 1. Let b(j) = 9*j**3 + 12*j**2 + 12*j - 12. Give b(c) - 12*s(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 7*l + 1. Determine s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*q - 2 = 0, -51*q = -4*t - 49*q - 26 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.09 (c) -4 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -0.67.\nAnswer: 12.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/sqrt(7) + -2)*-4.\nAnswer: -4*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 divided by 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 30*j + 65. Give x(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 4*g**3 - 6*g - 1 + 2*g**2 - 4*g**3 + g**4 to k + i*g**2 + s*g**4 + d*g**3 + y*g and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*x**2 - 16594*x + 8293*x + 8301*x.\nAnswer: 116*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -377, -2, 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**3 + 2 + 5*r**3 + 3. Let u(p) = -2*p**2 - p**3 + 105091 - 105097 + 2*p**2. Give 5*u(i) + 6*x(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315432, -631005, -946720, -1262577?\nAnswer: -1578576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2730 divided by 182\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4 - n + 2*n + 0. Let a(b) = 2*b + 6. Calculate -5*a(s) + 8*o(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -272.2 - -307. Let s = c + -39. Let q = s - -2.56. What is q rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y - 175. Suppose 0 = -5*m - 0 + y. Suppose -q = -m*q. What is the nearest to q in -2\/21, -2, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2510099*x - 2511355*x + 127944 + 32824 for x.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 <= -73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62 - 3) + -1 + 7 - (2 + -14)) + -4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 3*a - 60. Calculate the highest common factor of a and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + g - 120 = 0, -2*g = -2*b - 2*b + 504. Suppose -b = -5*n - 24. Calculate the greatest common divisor of n and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**(1\/23)*r))*r\/r**(-9))**(24\/13)*((r**(1\/4)\/r*r)**(-1\/54))**(-2\/13) assuming r is positive.\nAnswer: r**(598775\/32292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 24*m - 14*m + 34*m = -56, 2*i - 2*m = -6*m for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 3, k: 4, j: 3}. Give prob of picking 1 k and 1 j.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 3. Suppose 5*b = -5*y + 15, 6*b - f = 2*b + y. Suppose 5*a = b*a - 5*r + 33, 4*r + 84 = 3*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*q**5 - 26754572*q**3*w**3 - 5*q*w**3 + 102185*q + 15*w**3 wrt q?\nAnswer: 320*q**3 - 160527432*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/5))**13*(w\/(w\/w**9))\/((w\/w**(-12))\/w) assuming w is positive.\nAnswer: w**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (0\/(-1))\/2. Let i(t) = 7*t + 14. Let c(o) = -3*o - 8. Let d(m) = 9*c(m) + 4*i(m). Let p be d(20). Solve 0*v - p*v - 12 = l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*n = 6011 - 10064 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 10*o + 3. Let s = 3525\/4 - 877. What is the second biggest value in o, s, 0.05?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/3 + 86\/21. Let h = 10 - 0. Suppose 49 = 5*q + 24, -k - 2*q + h = 0. Which is the closest to k? (a) 0.3 (b) 4\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/50*(2 - (-112)\/(-49))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2005*s + 1997*s - 40 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6730820356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, -1, -7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4)\/q)\/q)**(-2\/9))**(-28) assuming q is positive.\nAnswer: q**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 433.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 28 = -4*u, 0*u - 3*u = q - 8. Let y = u + 10. Let x be (-1 - -99)*(-2)\/(-2). What is the highest common factor of y and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 + -1163623?\nAnswer: -1163536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flrhhha. What is prob of picking 1 l and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31730.1 and -1.8.\nAnswer: -57114.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*i + 6004 + 2428. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104149 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236866 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 + 0*o + 2\/9*o**2.\nAnswer: 2*(o - 2)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(1 + sqrt(2057) - sqrt(2057)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001101375 rounded to 7 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -3*r**7\/14 + 7*r**4\/12 + 13*r. Find the third derivative of j(z) wrt z.\nAnswer: -540*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:15 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 + -59. Let m be ((-2)\/(-6))\/((-14)\/(-12)). What is the second smallest value in 0.2, b, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**2\/3 - 40750*r\/3 - 12027500 = 0.\nAnswer: -850, 21225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*c + 178 = 0, -4*j = 5*c + 41 - 278. Suppose 54*t = j*t - 20. What is the fourth smallest value in 1, t, 0.1, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*1.11.\nAnswer: -0.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 4*m**2 + m**2)*(-7 - m**3 - 1 + 4).\nAnswer: -2*m**5 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 55?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647.4 + 3886024.443.\nAnswer: 3885377.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*g. Suppose g*h - 15 = -h. What is the highest common factor of h and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -0.2. Let w = -339 - -339.3. Let b = 8.12 + 0.88. What is the nearest to -1 in w, b, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 25\/4 - 2\/8. Let j be 16\/l + 2\/(-3). Solve 6 = -4*o - j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163 by 1.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -4799\/2688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 100, 200, 340, 520, 740?\nAnswer: 1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28936.84 hours in microseconds?\nAnswer: 104172624000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 - 6 = 0. Let -4*w**2 - 2*w**f - 4*w - 4 + 5*w**2 = 0. Calculate w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*j - 704 = 2*o, -4*j + 2736 = -4*o. Let p = o - -317. Let a = -7 - p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/5 + 4672*n + 13642240 = 0?\nAnswer: -5840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/7 (b) 11\/3 (c) -2\/7 (d) 23\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9*(22 - (11 - 4)). Suppose 4*a - 6 = i, 0 = -5*i + v*a + 10 + 5. Solve i = -7*p + 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30753, -26360, -21967, -17574?\n\"Answer: 4393*r - 35146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.61 and -1.3?\nAnswer: 4.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let d(v) = 2 + 2 + v**2 + 1 - 4*v. Let b be d(m). Solve 0 = 4*a - 5*a + b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 + u + 8. Let f be b(0). Let z be 6*4\/f*1. What is the remainder when 92\/8*6\/z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 27*u + 80. Let m be f(-4). Let r be m\/(-63) - 40\/9. Put -9, r, 3, -2 in ascending order.\nAnswer: -9, r, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*1)\/((-2)\/8). Suppose -4*s = -n, 4*r + 23 = 4*s + 115. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 135 = -5*x, 2*x + l - 36 + 17 = 4*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 32\/(-6))*-45.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -107 (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**3 + 5*r + 2. Let h(d) = -16*d**3 - 10*d - 5. Let f(u) = -5*g(u) - 2*h(u). What is the second derivative of f(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)*z**(1\/5)\/z*z*z*z**1\/(z*z**3*z)*((z**(2\/7)\/z)\/z)**(-5\/3)\/(z\/(z*z\/z**(2\/3)))**(-25) assuming z is positive.\nAnswer: z**(-1499\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 245 and 2586661.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9425 and 43550.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 42*w - 45. Let h be l(7). Solve -v + 4*p = h, -2*p = 4*v - 6*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 51. Suppose -91 = 6*u - q*u. Let m be (16\/(-180))\/(4\/(-10)). Put u, m, -4 in increasing order.\nAnswer: -4, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 = 7. Calculate the remainder when 119 is divided by (-1)\/(k + (-462)\/(-93)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125724*u**2 + 45*u**3 + 125724*u**2 - 40*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278.9 + 259. Let p = x + 20. Is -12 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 9, -0.44 in descending order.\nAnswer: 9, -3\/7, -0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1 - 4 - 7*k + 0 + 2. Let p = 341 - 127. Let j(l) = -p + 214 + l. What is x(j(u))?\nAnswer: -7*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396598, 396601, 396604, 396607, 396610?\nAnswer: 396613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s + 309. Does 7 divide i(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -38. Suppose 4*f - h - 1156 = 0, 2*f + 4*h - 546 = d. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52728, 52729, 52730, 52731?\nAnswer: 52732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-9))\/(6\/(-63)). Suppose -2*y - z*t + 9 = -4*t, -2*t + 39 = 5*y. What is the common denominator of 85\/4 and 3\/(-6)*357\/y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - (-3 - (-231)\/22). Which is smaller: 7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2179 is divided by 87.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -11*g**4\/6 + 7*g**3\/6 + g. Let y(z) = -2 - 105*z**2 + 61*z**2 + 59*z**2 - 5*z + 2. Calculate -5*x(b) - 7*y(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z + 12*z - 18*z. Let y(u) = -2*u**2 - 13*u. Determine y(f(n)).\nAnswer: -2*n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 2*u**2 + 22*u - 32. Suppose 0 = 11*g - 166 + 1. Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11188.\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 4, 0.\nAnswer: 0, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*h**2 + 0*h**2 + 19*h**2 in the form c*h**2 + l*h + f and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2691\/598*(-8)\/(-9))\/(-46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289894821 a multiple of 14193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 37*j**2 + 68*j + 1150. Determine c(-36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -19*j + 84. Give v(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/180 and -109\/277213104.\nAnswer: 1386065520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 * 0.009161\nAnswer: -0.00348118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.052553 to two decimal places.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 5*y**2 + 3*y - 5. Let s(k) = -k**2 - 15*k + 39. What is the remainder when s(-16) is divided by o(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25107*y + 4904 + 360 = -24731*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 1600\/9. Let n = -0.3 - -0.3. What is the nearest to n in s, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2*x**2 - 2\/3*x**3 + 1\/24*x**4 - 1\/60*x**5 + 12 + 0*x. Let y(g) be the second derivative of d(g). What is y(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.156*11.22.\nAnswer: 585.19032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqnapca. What is prob of picking 1 c and 1 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 + f**2\/2 - f + 5. Suppose -6*h - 24 + 9 = -9. Let a(s) = s + 3*s**2 - 2*s**2 - 2*s**2. Determine h*a(j) + i(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -2080, 5 in decreasing order.\nAnswer: 5, 4, -8, -2080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 16*j + 256. Calculate the remainder when j is divided by ((-4)\/3)\/(3\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88730530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.1 - 29.1. Which is the closest to -0.1? (a) g (b) 4 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.09 - -2.09. What is the biggest value in -4, g, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10687138 divided by -485779\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c - 3*c - 2*c**2 + (-c - c - 5*c)*(5 + 6*c - 5) + (28*c + 27*c - 11*c)*(2*c - 2*c - c) as q*c + a + z*c**2 and give z.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1960)\/595)\/((-78)\/(-11271)*-17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -26*s**2 + 1\/540*s**5 + 0*s + 0 - 5\/54*s**3 - 1\/54*s**4. Factor o(g).\nAnswer: (g - 5)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3620 (base 9) in base 16?\nAnswer: -a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1. Let p = -1 - r. Is (p\/5)\/(3\/(-180)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -772527 - 5?\nAnswer: -772533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/3 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4950 divided by -30993.\nAnswer: 1650\/10331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m + 6*m - 19*m to the form i + s*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9025 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1694 divided by -22191.\nAnswer: -1694\/22191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0, -6, -2, 4 in increasing order.\nAnswer: -6, -2, 0, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - 5*c + 2. Let n be r(4). Let f(s) = s - 2 + 5 - 1 - 6*s. Let g(m) = 104*m - 10 - 6 - 6 - 83*m + 15 - 2. What is n*g(t) - 9*f(t)?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2. Let l(z) = 985*z. What is r(l(g))?\nAnswer: -2910675*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/((-2 + -13)\/(-5730)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + j - 5*j)*(2*j**2 - 455 + 7875 - 1578).\nAnswer: 2*j**3 + 5842*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 13. Let q be v(16). Let y be 21*(-1)\/(q\/(-2)). Let f = -9 + y. What is the remainder when 19 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17970 and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120012 - -12?\nAnswer: 12120101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 76533?\nAnswer: 76532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) - (-72)\/(-189). Which is the nearest to 2? (a) q (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9353253.99 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3848, -3860, -3884, -3926, -3992, -4088?\n\"Answer: -m**3 - 5*m - 3842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22c8c + -463?\nAnswer: -230ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(13\/(-52)). Let j = 41\/57 + -1\/19. Suppose 0*c + f*c**2 - j*c**3 + 0 = 0. What is c?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593265 is divided by 128.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:04 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 - 360. Which is the closest to -0.35? (a) -0.4 (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l + 266. Calculate a(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54 - 125 + 25)*(3*i - 5*i + 3 - 1) to b + u*i and give u.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 + 191 = 208*p - 142. Solve p*m = -235*b + 234*b + 20, 3*b - 5*m = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 + j**3 + j - 16*j**2 + 4 + 8*j**2 + 0*j. Let l be z(-2). Solve -l*s + 6*s = -4*q, s - 2 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 4*i**2 - 2*i + 3. Let c be 30\/(-9) + 8\/24. Give w(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2031457 to 2 dps.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f. Let w(q) be the first derivative of -q**2 - 9. What is t(w(j))?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v*(v*v*v\/v**34)\/v*v)))*v))\/v**(-43)*v**(-27)*v*v*v**(-33\/4) assuming v is positive.\nAnswer: v**(-85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1246992847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - 4*v)*(3 - 3 - 2*v**2) + v**3 - 5*v**3 + 2*v**3 + (2*v**2 + 2 - 2)*(v + 2*v - 5*v) + 3*v**3 + 3*v**3 - 7*v**3 + 0 - 2*v**3 + 0.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1488274\/7 + 212614. Factor 0 + 16\/7*u - j*u**2 + 12\/7*u**3 - 2\/7*u**4.\nAnswer: -2*u*(u - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - 10 = 12*t. Let d be (-1)\/(t + (-115)\/45). Find o, given that 12\/5*o**3 + d*o**2 + 0 + o**4 + 2\/5*o = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*h - 48, 3*q = 13*h - 10*h - 6 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.2 + -0.7. Let v = r + -1. Let p be 2\/(-9) + 188\/36. Put p, 2, v in decreasing order.\nAnswer: p, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 3*t, r - 2 = -6. Let l(q) = -q. Let p be (1\/(-1))\/((-2)\/6). Let o(j) = -j + 1. Let z(y) = p*l(y) - 2*o(y). What is z(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 12580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-4 + -1 + 4). Suppose -3*g - 5 = 5*p + 7, -k*g = -3*p - 12. What is the second smallest value in 2, 1\/6, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20511 is divided by 20462?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -65337808.7 * 4\nAnswer: -261351234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4656140 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, o: 2}. Give prob of sequence xppo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1609965*i**2 - 353254*i + 1 wrt i?\nAnswer: -3219930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1576 - 1465 + 3129)*(-s - s + s)*(2*s + 4 - 4) to the form l*s**2 + h + f*s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 2:09 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b - 7. Let r(a) = -a**2 + 1. Let h(z) = z**2 - 6*z - 6. Let k be h(6). Let s(t) = -2*t + 2. Let v be s(2). Let f(n) = k*r(n) + v*j(n). Factor f(g).\nAnswer: 2*(g - 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155062527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z**5\/5 + 848*z**4 - 146258*z**3\/5 + 785984*z**2\/5 + 414456*z\/5 - 211680 = 0 for z.\nAnswer: -14\/11, 1, 7, 36, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17764 - 8626. What is the thousands digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*q - 2*p, 3 = -5*q - 5*p - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + k - 1. Let b(r) = 8*r**2 - r. Let c(i) = -b(i) - 3*y(i). Let z(q) = 2*q**2 + 2 - 3*q**2 - 2*q - 3*q**2. What is -3*c(l) + 4*z(l)?\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2535 - -2526.622. Let d = 3.686 - f. Let c = -0.064 + d. Sort 2\/7, 5, c.\nAnswer: 2\/7, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8)**(-48)*((b*b**(1\/4))\/b)**34)**(3\/7) assuming b is positive.\nAnswer: b**(-2253\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**2\/3 - 4090*i\/3 + 836405\/3 = 0. What is i?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -16.9146653872.\nAnswer: 3.9146653872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25649*h + 12830*h + 12824*h.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25026535.\nAnswer: 5, 5005307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = h + 1, -16*x + 10*x + 54 = 1206*h - 1217*h - 7*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4374, -8750, -13126, -17502, -21878, -26254?\n\"Answer: -4376*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 21*v. Let r be g(1). Let b(w) = -w**3 + 4*w**2 + 3*w - 6. Let p be b(4). Suppose 5*h + p = r. Which is bigger: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.834766 rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101001110101111 (base 2) in base 11?\nAnswer: -5a374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 5*d + 30, 2*v = 4*v + d + 51. Let a = 28 + v. Suppose 4*s - n + 8 = 0, 5*s = -a*n - 2*n - 35. Which is smaller: s or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.1650143 - 2600.5\nAnswer: -2592.3349857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, g: 1, c: 2, t: 2, w: 1, a: 1}. Give prob of picking 1 p, 2 t, and 1 w.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 42*a**2 - 4*a + 4. Let n be r(2). Let s = -73 + n. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 123\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -41, -31, -19, -5, 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 11056452?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445162 divided by -57.\nAnswer: -445162\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, -4, 0.04, 9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4697\/2684*3\/(-126).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13348830 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, u: 2, y: 2, q: 1, m: 6, h: 4}. What is prob of sequence umhq?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.9 - -30.1. Sort 0.06, n, -4 in descending order.\nAnswer: n, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -9, -2, 5 in descending order.\nAnswer: 5, 2, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/(121\/(-33) + 4). What is the highest common divisor of 1131 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11076348989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let o(y) be the third derivative of -17*y**8\/10080 + y**5\/60 - 2*y**2. Let k(q) be the third derivative of o(q). Calculate k(l(w)).\nAnswer: -136*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86 + -78. Suppose 12 = -5*n + 52. Calculate the lowest common multiple of n and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227*x**2 + x - 389 with respect to x.\nAnswer: 454*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 2*s)*(0 - 1 - 1) + (4 - 5 + 2)*(-4051 + 4051 - 7911*s).\nAnswer: -7909*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -8750457.\nAnswer: -8750456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2\/7, -16721, 0.1, 3, 2\/11, 299, 0.3?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 15805?\nAnswer: 15805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -452889 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(2\/5)\/m*m)**(1\/17)\/((m\/(((m*m**(1\/2))\/m)\/m))\/m)**(3\/7)*((m**(-3))**(-2\/31))**(-43) assuming m is positive.\nAnswer: m**(-309717\/36890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (11 + -21) - (0 + -16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 at least -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 12*r - 13. Let q(b) = b**2 + 6*b + 6. Let s(p) = -2*i(p) - 5*q(p). Let k be s(-4). Solve 0 = -k*a - 2*z - 25 - 5, 20 = -2*a - 2*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-613 + 629)*(178\/88 + -2). Factor 2\/11*l**3 - n*l**2 + 0 - 6\/11*l.\nAnswer: 2*l*(l - 3)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*z = -0*l + 8, 5*z = -2*l + 11. Let x(n) = n + 3. Let u be x(l). Is 5 a factor of (9\/4)\/(u\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5002 and 1599?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 14. Sort u, 1, 0 in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 21294.\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4159.9 - -4160. Which is the third biggest value? (a) 4 (b) 3\/2 (c) -0.04 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 + x**4\/24 + 192*x**2. Let f(j) = -6*j - 3*j**2 + 4*j**2 + 2*j. Calculate f(m) + 4*g(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-392)*-1*(-7 - (5 - 16)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = 4*d, -d = -5*t - 8 - 4. Suppose -3*f = 9, -3*y + 0*y + 15 = 4*f. Find the first derivative of d - y - 6*k - 6 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2\/13, -5.12, -7, 0.22?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 11*u + 15. Let k be y(-6). Suppose -5*r - 11 = 2*x, 0 = 4*x - x - 5*r - k. Determine v so that 42 + 2*v**x + 18*v + v**2 - 27 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60661 (base 7) in base 15?\nAnswer: -457d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -40*d + 8332. Let a(v) = -250*v. Give j(a(t)).\nAnswer: 10000*t + 8332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/69 and 26\/3303.\nAnswer: 75969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 16. Suppose a + 3*a - 476 = g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1178*i + 0*y + 147 = 1187*i - 2369*i + 5*y, 2*y - 51 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttettetttt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1 + (1 - 1 - 2)*(2 - 1 - 2) + 0 + 2 - 3)*(-6*i + 2*i + i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(0 - 1\/1). Suppose 0 = 4*u - 4, -o - 2*o + 2*u + 1 = b. Which is greater: -2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = g + 4*g - 88, -4*y = -4*g + 72. Suppose 2*n = -5*f - g, 18 = -0*n + 5*n - 2*f. Solve 3 = 5*k + 4*l - n, 0 = -k - 3*l + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a + 2106 = 18*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 40 = 0. Let v = -10 + w. Suppose 0 = 3*a - v*a - 15. What is the smallest value in 3, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.6 and 1102.\nAnswer: 1105.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 4*o. Let g be -5298 + -4 - (-1 + o). Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422*c - 563*c - 202*c - 597*c.\nAnswer: -1784*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 40*x**2 + 189*x - 504. Let m be k(44). Suppose j = -2*j + 1326. Calculate the highest common divisor of j and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.088 + 0.032. Let b = 0.023 + v. Round b to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9150.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425) - (sqrt(1425) - (sqrt(1425)*2 - sqrt(1425))))\/(-6*(sqrt(27) - sqrt(3))).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 0 = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -125264954 >= -125264951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 456, 1468, 3434, 6672, 11500, 18236, 27198?\nAnswer: 38704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*d = -5*d + 240, -5*z = 3*d - 606. Let p = 155 - z. Suppose p*j + 8732 = 36*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3894 = 134*q + 1080. Solve -54*i + 225 = q*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -5. Which is the smallest value? (a) -2 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**5*n\/(n**(-8\/7)*n)*n)\/(n**(2\/7)*n\/(n*n**(-5)))*(n**(-3)*n*n\/(n*n**8))**23 assuming n is positive.\nAnswer: n**(-1660\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(6\/(-40)))\/((-1)\/6). Let f be m\/20 + (-2)\/(2\/(-3)). What are the prime factors of (f\/(20\/(-16)))\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sspp when four letters picked without replacement from {p: 9, s: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 divided by 120670.\nAnswer: 128\/60335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.6. Let l = 0.4 - -9.6. Let x = l - 5. Which is the biggest value? (a) d (b) x (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and -1.032.\nAnswer: -24.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -287875 divided by 245\nAnswer: -1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*y, -r + 21*y = 17*y + 150. Let l = -1656163\/8786 - -1\/4393. Let o = l - r. Calculate the common denominator of o and 55\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -3)*(-18)\/(-27). Find the second derivative of -2*q**2 - f*q**2 - 2*q + q + 5*q wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x - 9. Is 17 a factor of y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5 - 452*v**3 - 432*v**2 + 880*v = 0. What is v?\nAnswer: -10, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/13, -2\/7, 213 in increasing order.\nAnswer: -8\/13, -2\/7, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4177077?\nAnswer: 3, 797, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1. Let i(o) = -81*o - 7. Calculate -6*b(v) + i(v).\nAnswer: -81*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 351*j**3 - 503*j**2 - 4*j**5 - 666*j**3 + 373*j**3 wrt j?\nAnswer: -240*j**2 + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 134669.\nAnswer: -6\/134669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 + 287.5. Let f = z - 20.4997. Round f to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 + 106. Calculate the highest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*s. Solve -3*z - 2*z = s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -3*i - 44. Calculate the highest common divisor of 966 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -0.01 (c) 13\/3 (d) 1.78 (e) -204 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.3 (c) 2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*t - 180*t = 84. Solve 2*y = -2*g - 6, -y - 23 = t*g + 2*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + 312. Suppose -2*j - 2*j = -u. Suppose -j - 40 = -4*a + 4*b, 2*b = 3*a - 107. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100012 (base 4) in base 13?\nAnswer: 7c07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/5379 and 77\/234218286?\nAnswer: 2576401146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 3*d = 13*r + 5 - 98, -18*r + 327 = 3*d for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -166.2?\nAnswer: -166.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 4*m + 2. Calculate v(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z + 8 = 0. Let c = 665 + -1993\/3. Factor -c*g**4 + 2\/3*g**z - 2\/3*g**5 + 0 + 2\/3*g**3 + 0*g.\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4 + 2 - d + d - d. Let g = 25 + -17. Let o be i(g). Let z(s) = 2*s**3 + 3*s**2 + 4*s + 2. Calculate z(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) -1.9 (b) 1\/24 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 6*m + 9*m + 4*m.\nAnswer: 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**2 - p - 1. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7024.359 to the nearest 100.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*o**2 - 14*o**2 + 10*o**2 + (0*o - 3*o + 0*o)*(-o + 1 - 1).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 18, 15, 12, 9?\n\"Answer: -3*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -5*p**4\/24 + p**3\/3 + 4*p**2. Calculate k(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 6*i - 2. Let l be m(7). Let g be 17\/2 + l\/10. Solve 4*o - g = 5*c, 5*o - 3*c + 0 = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 2\/3 in decreasing order.\nAnswer: 1, 2\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*n - 2*n + 30 = 0, -2*n = 2*w + 10. Calculate the common denominator of (309\/12 - -1) + (w - -6) and -33\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7))*1 - (-2 + sqrt(7)*-2)**2.\nAnswer: -32 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 109, 3, 71 in descending order.\nAnswer: 109, 71, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 144. Suppose -6*s + a = 28. Solve -13*o - 20 = -s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-175)\/(-10))*(8 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9081373.6123695 - 12.\nAnswer: -9081385.6123695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 1, h: 2, i: 1, b: 1, u: 1}. What is prob of picking 1 u and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*h + 12, h - 4 = -5*v + 2*h. Put -23, 4, v in ascending order.\nAnswer: -23, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-6 - -4) + 4 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27589931*i**2 - 87*i - 23331.\nAnswer: -55179862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -42*b - 73. Let s(m) = -42*m - 74. Let w(k) = -7*p(k) + 6*s(k). Differentiate w(q) with respect to q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348612405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1438, 1436, 1434, 1432?\n\"Answer: -2*t + 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -14, -1, 18, 43, 74?\n\"Answer: 3*p**2 - 2*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3220*u**2 + 460. Let g(z) = -6*z**2 + 1. Let j(b) = -c(b) + 460*g(b). Let d(x) = 3*x**2. Determine d(j(m)).\nAnswer: 634800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1305.2 + -53.23.\nAnswer: 1251.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:45 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + s - 9 = 0, -5*x = 2*s + s + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 + 39*v. Let b(t) = 45*t + 124. Determine w(b(f)).\nAnswer: 6075*f**2 + 35235*f + 50964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bwbgb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:50 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32850*r + 32547*r + 26361 for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -930*b**3 + 8152*b**3 - 919*b**3 - 5382*b**3 - 919*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from rhehhxheehehrhegh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -531*z**2 - 41*z + 8. Let d(u) = -2*u. Determine d(s(r)).\nAnswer: 1062*r**2 + 82*r - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569898 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhtzzhhxxtzzz. What is prob of sequence thx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(4 - (-74)\/(-19)). Is 0 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18967175 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63995 is divided by 168.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c = 78*c + 773. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -34*u + 4. Let v be d(-2). Let g = 24 + -16. Calculate the highest common factor of g and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22773, -22770, -22765, -22758?\nAnswer: -22749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(255\/(-15)))\/(-4 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, 33.\nAnswer: -5, -4, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) -2\/7 (c) 2 (d) -2 (e) -9 (f) -10.4 (g) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + sqrt(51) + sqrt(204)*2)*-6)\/(sqrt(15)\/(1*sqrt(180))).\nAnswer: -216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9359 is divided by 55.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1311?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -699 + 699 + 17*p + 0 + 0 - 2*p + 2*p - 2 + 2 + (0*p + p + p)*(5 - 4 + 0) - 2 + 2 - 17*p + 52*p.\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -0.17 (c) -875\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -299 + 300.33. Round y to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 157593\/5, 4, 3?\nAnswer: 157593\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 285*r - 76729. Calculate m(454).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 86*z**2 - 1262*z + 2038. Determine w(-99).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5\/4 + 3*g**4 - 5*g**3 = 0?\nAnswer: 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1. Let a(z) = 5*z**2 - z + 1. Let d be a(s). Suppose d*m = 3*m. Solve 2*r + 28 = 4*r + 4*n, 5*r - n - 15 = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i + 294. Let m be q(-10). Suppose -m = 24*c - 618. Calculate the remainder when (-84 - 3)\/((-6)\/4) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/(-36) - (-13972)\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105121821 and 34881.\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 18, g: 2}?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from oiyuvwiv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2 = 14*w + 84, 0 = -38*w + 34*w - 24 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7521 + 7526. Put 7, d, -4, 40, -1 in decreasing order.\nAnswer: 40, 7, d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(3\/5))*o*o*o*(o*o\/(o\/(o*o\/(o\/(o*(o\/(o*o\/(o\/(o**6\/o)*o)))\/o)))*o)*o*o)\/o)\/(o**0)**(-14)*(o**(-2)\/(o**(-11)*o))**(-1) assuming o is positive.\nAnswer: o**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -234*v - 1455 - 1117*v**3 + 75 + 234*v wrt v.\nAnswer: -3351*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 + -17059.\nAnswer: -17153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 946049253.\nAnswer: 3, 79, 137, 29137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/36 + (-60)\/1350. Let l = -2.4 + 0.4. Put n, l, 1 in descending order.\nAnswer: 1, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514288823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 8. Let k be q(-5). Let f be (k\/(-6))\/((-12)\/32). Let m = 0.27 - 0.23. Sort -0.2, f, m.\nAnswer: -0.2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.1, -2\/9, 158, 3\/4 in ascending order.\nAnswer: -2\/9, -0.1, 0.2, 3\/4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 1. Let n be c(1). Let k be (-393)\/n + (-10)\/25. Calculate the lowest common multiple of 6 and 1\/4 + k\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*i + 7 = 2*i, 0 = -h - 4*i + 9. Suppose 0*u - h*u = 0. Suppose -3*n - n + 68 = u. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39452, 39469, 39540, 39695, 39964, 40377, 40964, 41755?\nAnswer: 42780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peeelplvsop. Give prob of picking 1 s and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*v**3 - 176 + 176 + (0*v + 0*v + 2*v)*(-v**2 + 0*v + 0*v) - 2*v**3 + v**2 - v**2 + 4*v**3 + v**3 - 4*v**3.\nAnswer: 67*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u**2. Let t(o) = 288*o**2 + 282*o**2 - 593*o**2. Determine b(t(s)).\nAnswer: 7406*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.53 + -33.47. Which is the biggest value? (a) 4 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 20 - -5 - (0 + 23).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -984941a - -4?\nAnswer: -9849416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -729.59933?\nAnswer: 725.59933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -656 divided by -4\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -51*o**2 - 10*o - 55. Let c be m(-5). Let s = -653 - c. What is the greatest common factor of s and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -28. Let r = -8 + 10. Suppose 6*d = -r*x + d + 61, -235 = -5*x + 4*d. Calculate the remainder when x is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11244915 is divided by 4199?\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14*0.9\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339*a**4*k*m**3 - 342*a**3*k*m**3 - 13*a**2*k*m**3 + 77*a*k*m**2 - 3*k*m**3 wrt a.\nAnswer: -8136*a*k*m**3 - 2052*k*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.35 - 160.65. Let h = 162 + j. Let p = 0.03 + 2.97. What is the nearest to h in -4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 - (12 - (-52 + -13 + (14 - 13)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 43\/7, -12\/11, -23, 0?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1167.7 - -1168. What is the closest to 3 in h, 0.6, 1\/3, 0.5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-2)\/(-6))\/((-31)\/(-93)). Let q be (-6)\/4 - (-2 + 1). Sort -2, 8, p, q in decreasing order.\nAnswer: 8, q, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1 = 0, 450*r - 452*r + j = -33 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3440 <= -3444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 1:40 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*a + 74, -o + 20 = -a - 3. Let r = a + 34. What is the smallest common multiple of r and (7 - 1)*3 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111111 - -10101111?\nAnswer: 1010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -213717 (b) 1\/4 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 1710*l**3 - 17316*l**2 - 48648*l - 41760.\nAnswer: 3*(l - 580)*(l + 2)**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1363 bigger than 33\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178246 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/17)*z**(-11))**(-3\/7))**(-2\/161))**(-9\/10) assuming z is positive.\nAnswer: z**(999\/19159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1 + 5 - 4*c - 5 + 6. List the prime factors of o(-31).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 23, 32, 45, 62, 83, 108?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64187*p**4 + 501823*p wrt p.\nAnswer: -770244*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*v**2 - 229*v**2 - 11*v**3 + 74*v**2.\nAnswer: -11*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlwwgpgwmwwlrrmgpw. What is prob of picking 1 g, 2 l, and 1 p?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1)*u*u**(3\/5))\/(u*u**(1\/2))**(-49)*(u*u**0)\/(((u*u\/u**(-1\/3))\/u)\/u)*(u*u*(u*(u*u\/(u\/(u\/u**(-2\/3))))\/u)\/u*u)**(1\/43) assuming u is positive.\nAnswer: u**(99169\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j - 4 + 95. Let y(p) be the second derivative of p**5\/20 + p**4\/12 - p**2\/2 + 4*p. Calculate the remainder when y(2) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 + 9*m**3 - 54914*m**2 + 965725*m + 3.\nAnswer: 36*m**2 + 54*m - 109828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 - -92. Solve r - 2 = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b64bb5 (base 13) to base 9\nAnswer: 28165578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46\/5 of a centimeter?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 370016949 to the nearest integer?\nAnswer: 19236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 5*o - 136, 4*o + 32 = t. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 271*t**2 + 2613*t + 1626. Calculate w(-261).\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:29 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878922670 to the power of 1\/2, to the nearest integer?\nAnswer: 62281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(325) - sqrt(325)) + 0)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m - 5. Suppose -r - 3 - 2 = 0. Let q(l) = l + 1. Let k(x) = r*q(x) - j(x). Let o(n) = -1 + n + 1. Determine o(k(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2215, -1966, 743, 5912, 13541, 23630, 36179?\nAnswer: 51188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(208) + 5 + 5 + -3)**2 + -5.\nAnswer: 56*sqrt(13) + 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(5\/(315\/(-7))*6*3).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/216 and 107\/72.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73620311.\nAnswer: 233, 315967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 59*w - 44. Is 16 a factor of j(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2780*n - 2784*n - 2777*n + 8340*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8. Let p(d) = -8. Let u(f) = 1. Let o(s) = -p(s) - 12*u(s). Let x(j) = -3. Let c(q) = -2*o(q) + 3*x(q). Determine -18*c(w) + 2*i(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x)*(1898 - 1923 + 144*x + 7*x**2 - 140*x).\nAnswer: 14*x**3 + 8*x**2 - 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 30 = 3*y, 3*y - 2*z - 3*z - 9 = 0. Calculate the highest common divisor of 12 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + (13 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 - (154\/33 + -10). Solve -3*i + 5*h - 4 = t*h, 5*h = -4*i - 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 0.07. Let r = s - 1.96. Let g = 6 - 5.6. Sort 0, g, r in increasing order.\nAnswer: r, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -318*q - 4 - 26 - 47. Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - ((-11 - 15) + -24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4445 = -4*k + 7*k - 8*k. What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvvdkdky. Give prob of sequence ky.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 9*t**2 - 11. Let q be b(-9). Let l(z) = z**3 + 12*z**2 + 9*z - 15. Let r = 6 + -3. Calculate the least common multiple of r and l(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -1620*d**5\/7 + 594*d**4 - 3888*d**3\/7 + 1488*d**2\/7 - 128*d\/7 - 32\/7 = 0.\nAnswer: -1\/10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 6, 5*i = 28*u - 24*u - 271. Let r(h) = h**3 + h + 48. Let a be r(0). Calculate the highest common factor of a and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*a**2*k*m*t + 12*a**2*k*t**2 + 2*a**2*m**3 + a*k*m**3*t**2 - 95*a*m**3 - k*m**2*t + m**3*t wrt a?\nAnswer: 158*k*m*t + 24*k*t**2 + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 22547*i**2 - 135*i + 18380. Let h(x) = 5637*x**2 - 36*x + 4595. Let a(q) = -15*h(q) + 4*u(q). What is the derivative of a(s) wrt s?\nAnswer: 11266*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291883929 + 0.1.\nAnswer: 291883929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 21*t**2 - 2*t - 1. What is the least common multiple of r(-1) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374117 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2421 - 2479. Are -172\/3 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 408111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:26 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 21, -26, 4 in ascending order.\nAnswer: -26, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1842344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3*sqrt(245) - sqrt(5))**2 + (1*sqrt(245) - sqrt(245))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -4217\/91281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/13 + 89096*f + 12899407976 = 0. What is f?\nAnswer: -289562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 - (-984)\/(-54)) + 4\/18 + 0. Which is smaller: -159\/344 or g?\nAnswer: -159\/344","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 129*d**2 + d - 204.\nAnswer: 258*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 12 = 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1094 - -1098. Put -2, 0, 1.5, a in descending order.\nAnswer: a, 1.5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -5*t**4\/24 + t**3\/6 + 11*t**2. Suppose 0 = -6*n + 2*n + 12. Let u = n - 5. Determine g(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8252 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtow when four letters picked without replacement from twowwwwowwoowwtwoow?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = w - 5, -4*w - 5*f + 17 + 7 = 0. Let y be 2\/w - (0 + -1). Let o be y\/(-2)*4\/(-3). Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6 - -7. What is the third biggest value in -4, z, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83746?\nAnswer: 2, 13, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59 - 8. Suppose -s - 10 = -y. Suppose 46*z - s*z - 350 = 0. What is the greatest common factor of z and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + 1*sqrt(612) - sqrt(612) - sqrt(612)) + 5 - (-5 + -2 + sqrt(612))) + 1)**2.\nAnswer: -156*sqrt(17) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -216, 5, 199, 0.\nAnswer: -216, -5, -3, 0, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 6 - (-8 - (5 + -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -155, -252, -349, -446, -543?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/29 in -170, 0.5, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52746 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*r - 2*o - 10, -3*o + 13 = r. Let w(l) = 4*l**2 + l. Let i be w(1). Does 13 divide 185*i\/(50\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 974.5168 microseconds?\nAnswer: 974516.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -93637 and -92441 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(12400\/(-2046))*(-24)\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11756562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 112?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 374\/33 + 70\/(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:50 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3585632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/440)\/((-9)\/(-10)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13b3a215 + 7?\nAnswer: 13b3a21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o + 4*o**2 - 1753 + o**2 + 1734 + 0*o**2. What is w(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*s - 20, 116 = -s - 5*k + 96 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180, -485, -908, -1443, -2084, -2825?\n\"Answer: m**3 - 65*m**2 - 117*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.968754157 + 0.23?\nAnswer: -5.738754157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -16. Suppose -5*s + 34 = 2*t - 20, 2*s = -4*t + 28. Suppose s*a - 64 = 76. Calculate the lowest common multiple of a and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**23*k**(-1\/4)*(k**7\/k)**(7\/4) assuming k is positive.\nAnswer: k**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25))**(44\/3)*(x*x**12)**(-8\/3) assuming x is positive.\nAnswer: x**(-1204\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + -247. Let c = y - -351.01149. Round c to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -55*z**2 + 21*z + 70. Let h(t) = 2*t**2 - 2*t - 6. What is 11*h(o) + u(o)?\nAnswer: -33*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-8 - -6) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007349 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 132. Calculate the highest common factor of 34 and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 88814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 3*v**2 - v**2 - v + 7. Let k be j(3). Calculate the greatest common factor of k and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(28) - 2*sqrt(28)) - sqrt(28) - (sqrt(28) + 2*sqrt(252)))\/((sqrt(144)*2 - sqrt(4)) + sqrt(144)*1).\nAnswer: -12*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6)*-2) + ((sqrt(65) - -2*sqrt(65))\/sqrt(5))**2.\nAnswer: -sqrt(13)\/2 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - d - 1. Let x = -52 - -53. Let b be o(x). Suppose b*w - 69 - 51 = 0. Calculate the least common multiple of 15 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3*a - 1)*(2 + 0 - 6) + 0*a + a + 0*a)*(-a + 2*a + 0*a)*(-1 + 0 - 1).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**3*p - 5*g**3*x - 2*g**3 + 5*g**2*x + 3*p - 4*x wrt g?\nAnswer: 24*p - 30*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1694 + -1395. Do a and 303 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10 + (-4305)\/4018)*-238?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260853015 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -49*s**3 - 3*s**2 - s + 3. What is u(1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 6 + 8*u + 6 - 4 - u. Is p(-6) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -193 + 354. Let a = 163.02 - w. What is a rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81702 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*j**2 - 24\/7 - 20\/7*j.\nAnswer: -4*(j + 2)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 3, c: 5, h: 2}. Give prob of picking 1 c and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-50))\/(2\/4). Suppose -2*j + 0*j = 0. Which is greater: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 187*p**4 - 180?\nAnswer: 748*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4894 - -8948. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -25, 6, -5 in decreasing order.\nAnswer: 6, 5, 3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44799 and 10870788?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 6:43 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 811015 divided by 19.\nAnswer: 42685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9*s + 28 = -3*r, -3*s = 4*r - 11. Suppose -2*f - 4 = -l, -2*l - 3*l = s*f - 5. Solve 2*y = -l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -6796?\nAnswer: 6793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmpgzmzfz. Give prob of picking 1 z, 1 f, and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15299 is divided by 323?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, -89, -400, -1001, -1988, -3457?\nAnswer: -5504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1302*w + 212*w + 195*w to the form q + n*w and give n.\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1096*d**3*w**2*x**3 - 157533*d**3*x**3 + d**3 + 110*w wrt w.\nAnswer: 2192*d**3*w*x**3 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 + 9 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -y + 31, -2*y + 5 = -4*b - 33. Suppose 0 = g - 36 + y. Let r = g + -13. What is the least common multiple of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiijiviavai. Give prob of sequence vj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -22. Suppose 9 = -3*x + 4*x - 5*m, -x = 3*m - 1. Suppose -2*p + 6*f = 2*f - 112, 2*p = -x*f + 120. What is the remainder when p is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/7 + 242246*c**2\/7 + 2422610*c\/7 + 6056650\/7 = 0. Calculate c.\nAnswer: -5, 121133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 850*w + 5953. Calculate y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1074*b**2 - 1341*b**2 + 3104*b**2 to z*b + v + g*b**2 and give g.\nAnswer: 2837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 679120 and 27820?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.082222*0.1.\nAnswer: 0.0082222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 17 - 22 = 0. Let v = 193 + -27. Let l = 165.6 - v. Put f, l, -3, 1\/4 in descending order.\nAnswer: 1\/4, l, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l = -30*l - 368 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 38 + -34 + 22 + -17 - -83.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 0.06 (c) -2 (d) -5 (e) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 48721681129960.\nAnswer: 48721681129955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + -12.1. Let s = d - -18. Which is the nearest to -0.1? (a) -2\/7 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/61 + 250\/183. Let j(k) = -k**3 + 17*k - 20. Let u be j(3). Let 0 - c*b + 28\/3*b**u - 6*b**2 - 2*b**3 = 0. What is b?\nAnswer: -1\/2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 80, 115, 150?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*u + k + 24, u = 3*k + 13. Let w be 15\/10 - (-42)\/u. Calculate the highest common divisor of 24 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 2*p**3 - 2*p**3 + (p - 2*p + 2*p)*(-318*p**2 + 1052*p**2 + 4762*p**2).\nAnswer: 5494*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1\/8)))**(2\/17)*(y*y**2)**33 assuming y is positive.\nAnswer: y**(6731\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8098 + 2456*k - 16190 + 8092)*(0*k**4 - 4*k**4 - k**4).\nAnswer: -12280*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*r + 711 - 155 = 0, 420 = 3*d + 3*r. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -50*x**2 + 12*x - 170. Let c(f) = f**2 + 2*f + 2. Let u(m) = a(m) - 6*c(m). Differentiate u(k) with respect to k.\nAnswer: -112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -36. Put -1\/3, r, 3 in increasing order.\nAnswer: -1\/3, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + (1 - 6\/(-3)). Suppose 0*y = y - 2*x - 16, -h*x + 23 = 2*y. Suppose -2*s + 4*z = y, 3*z + 6 - 23 = -5*s. Solve p = -s + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -444112*h**3 - 502*h**2 + 4?\nAnswer: -2664672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2433 (base 10) in base 4?\nAnswer: -212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.141, -2, -1489?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/7)\/(12*12\/192)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8416.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2\/17 - 1252*y\/17 - 173888\/17 = 0?\nAnswer: -418, -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2. Let u(d) = 9. Let w(q) = 351*q - 29. Let i(x) = -3*u(x) - w(x). What is i(f(h))?\nAnswer: 1053*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 3*z**4 - z**3 - 3*z**2 + 2*z.\nAnswer: -z*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -333, -715, -1147, -1653, -2257, -2983, -3855, -4897?\n\"Answer: -4*l**3 - l**2 - 351*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 10*n + 1. Let j be l(9). Let b(o) = -2*o**2 + 19*o - 45. Let z be b(4). Put j, 1, z in descending order.\nAnswer: j, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i*m**2 + 3*i*m*v**2 - 2252*m**2*v**2 - 6523*m*v**2 wrt m.\nAnswer: -6*i - 4504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 391*y**2 + 1939*y + 151483. Give d(-387).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/(-399) - 2\/7. Solve -c - 2*w - 7 = -w, 3*c - 3*w - 9 = q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from hhhrhhhjhtththrh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 605, 573, 469, 257, -99?\n\"Answer: -6*t**3 + 10*t + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8195 is divided by 3081?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 1946702*t - 648898*t + 14 - 648904*t - 648904*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1800088 centuries in years?\nAnswer: 18.00088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 0.5, 0, -3\/1498, 7\/9?\nAnswer: -3\/1498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(1068\/816 - 5\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*g - 7, -21 = 3*z - 3*g + 12. Let a = -10 - z. Solve -a*b - n = -15, -b = -5*b + n + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 124*p**3 - 264*p**2 + 108*p - 32. Let j(h) = -h**3 + h**2 - h + 1. Let r(t) = -24*j(t) - o(t). Factor r(s).\nAnswer: -4*(s - 2)*(5*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 290, 2\/13, 6\/7, 3, 105?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 34 = 2*d, -d + 6 = -3*v - 10. Let n(x) = 2 + 13 + 0*x - 2*x - 3 - x**2. Give n(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + -61 + -53 - -97.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25324778.35 to the nearest ten thousand.\nAnswer: 25320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 122*k - 821. Is t(45) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o**2 + 23*o + 12. List the prime factors of n(-12).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17264670 and 32?\nAnswer: -552469440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26169 + 26663 - 51768)*(-3 - 3*x + 5*x + 2).\nAnswer: 2128*x - 1064","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dpdd. What is prob of sequence pd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 11*a - 3. Let m(r) = -5*r**2 + 7*r - 2. Let v(g) = g**2 + g. Let x(i) = m(i) + 4*v(i). Let c(l) = -5*w(l) + 4*x(l). Is 7 a factor of c(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 65 + 86*t**3)*(-127 - 32*t + 127).\nAnswer: -2752*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llillili. What is prob of picking 3 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2045, -3015, -3971, -4907, -5817?\nAnswer: -6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1455*o + 225. Let c(s) = 970*s + 150. Let t(u) = 7*c(u) - 5*y(u). Let w be t(25). What is w rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6124000 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70976707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132766*p - 1549*p**4 - 3342*p**2 + 2*p**3 - 132766*p wrt p.\nAnswer: -37176*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -25. Suppose -10 = -r*w + 5*w. Find the second derivative of w - 3*j - 4*j**5 - 2 - 2*j wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-196) - 194\/350*-1.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -307 + 264 - (-37 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20913 divided by -55.\nAnswer: 20913\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 23*h + (4 - 3 + 0)*(2*h + 2 - 2) - 31*h - 19*h + 34*h.\nAnswer: -37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 - 546044*f**3 - 3276366*f**2 + 8190856*f - 4368448 = 0.\nAnswer: -8, 1, 273028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(162)\/(sqrt(12)\/sqrt(2)))\/((sqrt(81) + sqrt(81)*-4 + sqrt(81))\/sqrt(9))*5)**2.\nAnswer: 119\/4 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 858779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-4 - (-7 - (5 - 7))) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290\/3 + -96. What is the smallest value in 4, n, 8\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - z + 3. Let o = -23 - -12. Let j be o\/5 + 3\/15. Let u be w(j). Solve -3*i - u = 2*v - 4, -4*v = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -439189.387 to the nearest 100.\nAnswer: -439200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (44 - 23) + 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 34c5c?\nAnswer: -34c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 + 317\/3. What is the closest to -1 in h, 2\/3, -0.04?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*v + 10 - 235 = 163 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 47494771 + 267033167 = 0. Suppose -4*p + 0*y - y = -125811171, -w = -5*p - 3*y. Suppose 9002792 = 5*a + p. Round a to the nearest 100000.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3856*q**4*u + q**4 - q*u + 6*q - 2*u + 42 wrt q?\nAnswer: 46272*q**2*u + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 bigger than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/7 + (-3 - 1). Let r(p) = -p**2 - 7*p - 10. Suppose 11 = 3*o - 4*k, -3*o - 3*k = -2*o - 21. Calculate the remainder when o is divided by r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**3\/3 + 5*w. Suppose -3*m - 8 - 4 = 0. Let d(a) = -1. Let p(n) = 2*n**2 + 4. Let u(h) = m*d(h) - p(h). Give y(u(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/9, -49, -7, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqquuqqqquqqqu. Give prob of picking 4 q.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5524287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31.019 + 0.281. Let p = 30.992 - -0.008. Let l = v - p. What is l rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8342444 divided by 44612\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*o**2 + 521*o**2 + 374*o**2 in the form q*o**2 + s*o + b and give q.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11826 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 705 + 705 + 110*q**2.\nAnswer: 110*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -504, -1942, -4326, -7656?\n\"Answer: -473*j**2 - 19*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 484046.7 hours?\nAnswer: 1742568120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*d**2*n**2 - 9*d*n**2 - 3543*n**2 with respect to d.\nAnswer: 86*d*n**2 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 49, -1\/10, -24, 4\/5, -6 in descending order.\nAnswer: 49, 3, 4\/5, -1\/10, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-1))\/(p\/(p*p**(-8)\/p*p)))\/(p**(1\/3))**(7\/2))**(-1\/21) assuming p is positive.\nAnswer: p**(43\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhtxhhhh. Give prob of picking 1 x and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**6 - 448*d**4 + 943*d**3 + 7387356*d**2 - 5 wrt d.\nAnswer: -1080*d**3 - 10752*d + 5658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -184555 + 3b?\nAnswer: -184516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 10. Suppose -3 = -3*p, -4*x - a = -p + 45. What is the units digit of 1 + 4\/(x\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -7*o - 164. Let b = o + 95. What is the remainder when 37 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 33125.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(174\/(-20) + 9). Which is the biggest value? (a) -2\/9 (b) o (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 413*j + 7430. What is the ten thousands digit of z(72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -121*t**2 + 386*t + 15. Give c(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 9 - 4. Let h(a) = -3*a + 1. Let l be h(u). Let s(i) = 4 - i - 2*i - 3*i**3 - 4*i + 3*i. Let p(f) = -f**3 - f + 1. What is l*p(x) - s(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 567\/(-5292) + (-16270)\/(-280)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19403973 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 567\/(-117) + 5 - (-25)\/(-78). Put 3, 0.3, -1\/3, v in increasing order.\nAnswer: -1\/3, v, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + 2 + 1 + 33 + -50)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*b - 5566*b**2 + 1 - 1 + 5619*b**2 wrt b?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/360 + a**5\/8 - a**4\/2 + 20*a**3\/3 - 2*a**2 + 116. Let b(o) be the first derivative of x(o). Calculate b(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*(1605\/(-10))\/(-107)*-59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/3 - 4*s**2 - 22. Let b(g) = -6*g. Give q(b(l)).\nAnswer: -720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6568 divided by 214\nAnswer: 3284\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 30*o**2 + 45*o + 25. Let d(p) = -13*p**2 - 20*p - 12. Let a(w) = 5*d(w) + 2*s(w). Let l(b) = b + 1. Calculate -a(h) - 10*l(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 64. Suppose 0 = -9*w + 29*w - g. Solve -4*j + 14 = -2*l, 3*l = -w*j + 2*l + 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b**2 - b + 68*b**2 - 41*b**2 + 1. Let w(v) = -v**2 + 0*v - 4*v + 4*v**2 + 2. Calculate w(d) - 2*x(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k**3 + k**2 + k - 1. Let r be l(2). Let d = -504 + r. Let b = 61087\/95 + d. Is b greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 39336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000068673 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, 1 v, and 1 t when four letters picked without replacement from ttmmvvjvmtjujmvtvm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 7)*1\/(-3). Suppose 74 = z*i - 0*i. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*s + 6, -3*s + 9 = 5*h - 2*h. Suppose s*m = -4*m + 12. Solve -5*d - 2*c + m = -c, -c + 3 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 - 3*v - 16. Suppose -j - 10 = 2*f, -4*f - 97 = 3*j - 79. Calculate y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) + 1375\/10. Suppose 5*c = -3*g + d, -3*c + 6*g - g = -97. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j - 128. Calculate i(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1998 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -3c1c054?\nAnswer: 3c1c059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f. Suppose -3*u - 22 = -5*u. Let t(k) = -6*k + u*k - 3*k. Give t(r(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 11, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1607884074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 706, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 68e0 (base 16) to base 14\nAnswer: 9ada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = -z - 3, p = 5*z. Let s be (-4)\/((-2 - -1)\/z). Let m be (-9)\/(-4) + 3\/s. Which is the smallest value? (a) 5 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29 - 1)\/(-5) + 27. Which is smaller: 34 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(10)\/(sqrt(245) + ((1*sqrt(245) - sqrt(245)) + sqrt(245) - sqrt(245)))*-3*5 + -4.\nAnswer: -15*sqrt(2)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0.6, -2\/5, -5, 5034.8 in decreasing order.\nAnswer: 5034.8, 1.1, 0.6, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 375.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -8 - -3) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*h - 14*h + 39*h + 50*h - 30*h)*(-419 + 388 + 516) as c*h + a and give c.\nAnswer: 52865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/50*(-10)\/4. Suppose 0 = 3*s - 5*r - 0*r - 37, -s + 3*r + 15 = 0. Let u be s\/(2 + 1)*1. Solve 5 = 4*w - u, -m*w + 10 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g**2 + g. Let k be x(1). Let t(o) = -15*o + 6. Let u be t(1). Let w = u + k. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562071472 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 233 + 156 - 485*g**2.\nAnswer: -485*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n, 4*k - 5*n = -2*n + 594. Let j = k - 1024\/7. Calculate the common denominator of j and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -168*z**4 + 3*z**3 + 187*z**4 - 2*z**3 - z + (-5*z**3 - 30 + 30)*(-62*z - 10*z + 34*z).\nAnswer: 209*z**4 + z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88 + 170*c**4 + 413 + 351 - 706*c**4 wrt c.\nAnswer: -2144*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {d: 1, r: 1, l: 1, m: 1, t: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 333*c**2 - 175*c - 1353. Determine d(-167).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 - 22*v - 12. Let u be x(-5). Let n be (0 + 0 - 6)\/(-2). Let a = n + u. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405 + 167 = 13*z. Let j(x) = 2*x**2 - 12*x - 1. Let s be j(6). Let d be (s - -9) + (-36)\/9. What is the highest common factor of z and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 8) + (-4 - (-6 - 4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -235*c. Let j(f) = -184*f - 5114. Determine s(j(b)).\nAnswer: 43240*b + 1201790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 10:30 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, -2 in descending order.\nAnswer: 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213\/4 + -53. Which is smaller: 8\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + ((sqrt(1216)*1 + sqrt(1216))**2*-5 - (sqrt(1216) + -2)*2).\nAnswer: -24309 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 - (6 - 6). Suppose k*u - 8 = 10. Calculate the least common multiple of 22 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, 0, 104, 2, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*u = -12, -6 = -3*u + 6*u. Suppose 2*t + b = 152. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/2 + -5. Suppose 2*h = -3*h. Let c be (4 - -11)\/(-5) - ((-14)\/3 - -1). What is the nearest to -2 in h, w, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 9872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1582609010321404 - -1582608861333009.0000146. Let q = s + 148988382. Let a = -13 - q. What is a rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 22?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9042)\/5*((-15)\/45)\/(28\/1470) is divided by 184.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 15 = -17. Let b be 0 + (-3)\/(6\/s). What is the third derivative of -2*h**2 - 6*h**4 + 3*h**b + 2*h**4 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p + 15. Let z be g(-1). Let m(t) = -t**2 - 48. Let l be m(0). What is the remainder when 21 is divided by l\/12*z\/8*-5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6*(-2)\/(-3) - -3. Let o be (-1)\/x*(1 - 6). Let w(f) = 2*f**3 - 5*f**2 - 4*f + 9. Let n(j) = j**3 - 3*j**2 - 2*j + 5. What is o*n(r) + 3*w(r)?\nAnswer: r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 7*t + 8. Let v be d(7). Suppose 0 = -3*f + 35 - v. Find the common denominator of 31\/3 and f\/(-16)*5\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 11*j - 7. Let a(l) be the third derivative of 5*l**4\/24 - l**3\/2 + l**2. Let s(i) = 7*a(i) - 3*x(i). Let d(z) = z - z - 6*z + 3*z. What is d(s(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1323.399 or -14?\nAnswer: 1323.399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(-2 + sqrt(11) + 4) + (sqrt(539) - sqrt(539)*-2 - 2*sqrt(539)))**2.\nAnswer: 144*sqrt(11) + 1814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (3 - -2) - -5. What is the derivative of -9*x**2 + 25*x**2 + 42 - 1 - x**4 + 55*x**m wrt x?\nAnswer: -4*x**3 + 142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357 + 357.2. Which is the third biggest value? (a) -0.9 (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63b (base 12) to base 13\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.58 and -1?\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10c0b4a (base 13) to base 4.\nAnswer: -103232210012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 9, 3, 0, 47 in increasing order.\nAnswer: 0, 3, 6, 9, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 6251350?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -133, 22.\nAnswer: -133, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/10)\/6*-9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49640 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*(-15)\/(-6))\/((-14)\/28). Which is the nearest to -1\/3? (a) 0.021 (b) 2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19343 equal to -19342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x. Suppose 2*t - 10 = -6. Let w(j) = -3*j**t + 4 + 4*j**2 - 4. Give w(v(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.077 + -104.923. Let w = i + 105.2. Which is the smallest value? (a) w (b) 2 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*u - 9, 957*n - 958*n = -4*u - 26 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**2 - 14*w. Let f(m) = -m**2 - m. Calculate 28*f(b) - 2*t(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5208637 (base 9) to base 12\nAnswer: b21907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*6\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -222 (b) -3\/11 (c) 1000\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10454\/29 or 361?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.4, 0.6, -428, -1\/3, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/14670262 and 9\/4?\nAnswer: 29340524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + f - 10 + 10 - 3 + 3*f**2 - 29*f**4 in the form p*f**3 + z*f**2 + k + i*f + s*f**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + -93 - (-1)\/(3278\/(-253) - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21534 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1424375 divided by -284875\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 961 + -959. Let b = 3.5 + 0.5. What is the nearest to -1 in -15\/4, b, z?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o + 14. Calculate the common denominator of -41*(-2)\/o + 4 and -139\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-894)\/126)*(-6)\/4.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, a: 1, j: 5}. What is prob of sequence waj?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 23714434*b + 14*b**2 + 23714434*b + 15.\nAnswer: 14*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -50*h**2 + 19642780*h\/7 + 7857168\/7 = 0.\nAnswer: -2\/5, 1964292\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21, 29, -3, 309 in decreasing order.\nAnswer: 309, 29, 21, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**3 - 3*a**2 + 13*a - 14. Give w(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -5. Let z = -0.1 + -3. Let y = z - j. Is 1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 24 = 5*j. Let o be (-2)\/15 + 4\/12. Sort j, o, -5 in ascending order.\nAnswer: -5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5217*v**3 - 2612*v**3 - 41*v - 2604*v**3.\nAnswer: v**3 - 41*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21026846?\nAnswer: 2, 10513423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**1\/k)*k)**(-32))**(-1\/40)\/(k**(-4)*k*k**5*k**(-2)*(k**1*k)\/k*k*k) assuming k is positive.\nAnswer: k**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 120 = -12*j. Suppose -5*b = 4*c - j, -2*b + b - c = -25. What is the highest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2449185179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*p + 2*p = -890, -3*g - p + 889 = 0. Solve g*d = 314*d - 126 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3815\/18 + 212. Let d(y) be the second derivative of 0 + p*y**4 + 1\/9*y**3 - 2\/3*y**2 + 2*y. Factor d(q).\nAnswer: 2*(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -14*f**2 + 77*f + 15. Determine q(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 292998+3\nAnswer: 293001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239*y = -1236*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2040510 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*d + 3 = 2, 0 = -j - 5*d - 3. Let v(o) = j*o**2 + 24 - 2*o - 22 + 0*o + o. Let w be v(1). What is the greatest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41552.41 minus 2377?\nAnswer: -43929.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -6, 8\/9, -1\/4 in descending order.\nAnswer: 8\/9, -1\/4, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4194 - -4197. Suppose 0 = 4*k + o - 19, -2*o - 4 = -4*k + 2*o. Suppose 2*q + 5*b + 2 = 0, -k*b + 24 = 4*q - b. Solve -6*g + q = -s*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 + 2 + (92 - 89)). Factor -1\/4*j**5 + 9\/4*j**4 + 27\/4*j**2 + 0 - 27\/4*j**3 + t*j.\nAnswer: -j**2*(j - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 17 = -3*j, -17 = 3*o - 4*j - j. Let d be 5 + 2 + 0 + -2. Let z = d + -3. Calculate the remainder when z is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**2 - 26*w**2 + 40*w**2 + 46*w**2.\nAnswer: 117*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37804481743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14989 is divided by 935?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pzzzzppz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - o + 107 = 0, 2322*n - 2*o + 124 = 4637*n - 2317*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 12. List the prime factors of g(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*u - 6*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5903, 5895, 5875, 5837, 5775, 5683, 5555, 5385?\nAnswer: 5167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 162577740?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by 13?\nAnswer: -984\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78938983.\nAnswer: 78938983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (67 - 28) + 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2258, 4594, 6930?\n\"Answer: 2336*l - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23201900 rounded to the nearest 100000?\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 350, 495, 782, 1259, 1974, 2975, 4310?\nAnswer: 6027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l**2 - 2*l + 1. Let a(p) = p**3 - 7*p + 2. Let s(z) = z**2 - 1. Let n(g) = a(g) - 5*s(g). Let r be n(6). Calculate f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 116*r**2 + 7*r + 17. Let k(z) = 58*z**2 + 3*z + 8. Let b(m) = -6*d(m) + 13*k(m). Is b(1) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901218843 - 17828?\nAnswer: 901201015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 439, 488, 535?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -4*x - 8. Suppose 5*p + 3*o = 3299, -7*p = -x*p + 2*o - 3296. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 157, 0, -1\/5, -8, -80?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 27 = 269. Suppose 1793*b = 1795*b + n - 487, -5*b + 5*n = -1225. Which is bigger: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -154692, -154695, -154698, -154701, -154704, -154707?\n\"Answer: -3*a - 154689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -122 + (-101 - -183) + 99\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-6)*34\/1105?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((32\/36)\/(-4)). Suppose -4*s + 8 = -f, -s - n*s = -5*f + 8. Suppose 3*u - 12 - 78 = 0. Solve -2*y - 3*y = -2*a - u, -2*y + s*a = -23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 + z + 1. Suppose s + 6 = 8. Let m(j) = j - 3. Let q be m(s). Let u be y(q). Solve 0 = -i + 1 - u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113202 (base 4) to base 5.\nAnswer: 134402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1743, -1717, -1673, -1605, -1507, -1373, -1197?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124725 to four decimal places.\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 6*u + u - 3220. Calculate the smallest common multiple of 70 and u.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2 - 46*n + 43*n + 2*n**2 - 1 + 3*n**3 wrt n?\nAnswer: 18*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**5*y*y*y*y*y\/(y*y**(-4)*y)*y)**29*(y*y**(-5)*y*y**(2\/9)\/y)\/(y**(-6\/5)\/(y**(-3)*y)) assuming y is positive.\nAnswer: y**(6319\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 363 = -383, 7*j - 11*i + 64 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -5. Let a = 29805 - 29811.99968. Let h = y - a. Round h to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(152) + sqrt(152)) - (sqrt(152) + sqrt(152) + -3*(3*sqrt(152) + sqrt(152)) + sqrt(152)))\/((1*sqrt(72) - sqrt(72)) + sqrt(8) + sqrt(32)*-3).\nAnswer: -9*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 2 + (-54)\/(-432)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-232)\/32 + 7 - 30\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10047 - 1b?\nAnswer: -10062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 2*u**5 - 3*u**5 + 3*u**5 + 2*u**5 + 2*u**4 + 0*u**5 + (-3*u**5 - 3*u**5 - 2*u**5)*(-4 + 1 - 9).\nAnswer: 98*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/691 in -0.3, -3, 1\/14?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 759.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3459 + 0.0541. Let k be 160\/(-225) + 3\/30*6. Let o be (-6)\/7 + (-3)\/(-3). Which is the closest to 2\/5? (a) g (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 11. Let n(b) = b - 7. Give -5*d(s) - 7*n(s).\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -143. Let w be -3 + h*4\/(-60). Let y = -5 + 7. What is the smallest value in y, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + -1 + 3)\/1*1. Let b be ((-12)\/10)\/(w\/((-100)\/(-6))). Solve -3*n = m - 7, -n + 0 = 2*m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01096509616 rounded to five decimal places?\nAnswer: 0.01097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t - 2451 = -12*t + 15*t + 2743 for t.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1478.6 and 2.\nAnswer: -2957.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Calculate the remainder when 16 is divided by m(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*c - 0*q + 344, 4*q = 2*c - 244. Suppose 2*x = 42 + c. What is x rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 12 - 0. Suppose f - 26 - 38 = 0. Calculate the remainder when f is divided by 270\/12 + 3\/i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -221909 + 32101. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1787.138329058 + -1787.94233. Let z = -2722.804 + 2722. Let b = v - z. What is b rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 1)\/(2*(-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2*n + 95. What is s(0)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 436 and 8391213?\nAnswer: 8390777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.2 + 13.2. Let g = 0.046 - 0.546. Which is the nearest to 0.1? (a) o (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 10 = -0*q + 4*q, -2*q = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -570683775.9999248 + 570683024. Let n = 752 + o. What is n rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39770*t - 39831*t + 1891 = 0 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 26 = 3*p - 5, -3*k + 7 = -11*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1841, 7144, 15983, 28358, 44269, 63716?\n\"Answer: 1768*l**2 - l + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1061 + -1107. Sort u, -3, -2, -4 in decreasing order.\nAnswer: -2, -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w**2 - 256*w + 3587. Calculate the remainder when i(14) is divided by 56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34228.\nAnswer: 2, 43, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-17)*c)\/c)**(7\/4) assuming c is positive.\nAnswer: c**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 190*q**2 + 2228*q + 300. What is x(-11)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = s - 3801 + 3793, 2*s = -2*x - 16 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2740 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494862 (base 10) to base 4.\nAnswer: 1320310032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Let i(o) = o + 4*o - 6*o - 23*o. Determine i(m(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**3 + 4*r**2 + 8*r + 7. Let j be 94\/14 + (-70)\/98. Let q(o) = -5*o**3 - 3*o**2 - 7*o - 6. Determine j*k(x) + 7*q(x).\nAnswer: x**3 + 3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5160 and 31347.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)\/u)\/u*u*u**(-17) assuming u is positive.\nAnswer: u**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4078 is divided by 584.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 555346854 to the nearest 10000.\nAnswer: 555350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 23. Let f(l) = l**2 + 8*l + 13. Let c be 1\/((-38)\/18 + 2). Calculate the remainder when d is divided by f(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 54. Suppose 5*a - b = 138 - 1012, -a + 2*b - 182 = o. Let r = 45 - a. Is 34 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 15) to base 13\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502172320 a multiple of 989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*i - 92 = 260*i - 2624. Let y = 1 - -1. Solve -y*s = s + i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17673 or 17651?\nAnswer: 17651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6899 + 988. Suppose -13*s = -2*s - r. What are the prime factors of s?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x + 128*x**2.\nAnswer: 128*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808228930 to the power of 1\/3, to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87577467 and 15018.\nAnswer: 7509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/(sqrt(20)\/sqrt(4)) + -2.\nAnswer: -2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262861 is divided by 386?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (19 + (-10 - -29))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/10921352 and -21\/1437020.\nAnswer: 54606760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, c: 3, j: 8, z: 1, d: 2}. What is prob of picking 1 z and 1 c?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-15) - (-4)\/(40\/34)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 10) to base 3.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 196\/504*(-3)\/7\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/(-15))\/(-16))\/(2*(-1)\/6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 438 + -691. Let v be 994\/(-6)*(r + 7). Suppose -4*a + v = -8046. Round a to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:46 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 g when three letters picked without replacement from gggrggrgrggggggggrgr.\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, n: 6, z: 3, s: 8}. What is prob of sequence lvz?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 5:51 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 7*r - 2. Let i be l(-6). Let d be (6\/10)\/(((-120)\/i)\/5). Which is smaller: d or 2.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(102)*5 + sqrt(102))\/(sqrt(600)*1 - sqrt(6)) - (-4*(2*(sqrt(153) + 0) + 0))**2.\nAnswer: -9793 - 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2215421 + 11?\nAnswer: -2215410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 15 = 0. Suppose -q*i = -i - 6. Let n = i - -28. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1321.82 - 1280. Let j = 0.18 + d. Let s = 42.1 - j. What is the closest to -2\/7 in -5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*i - 1619 - 1702 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 2)*(-2*x**4 + x**4 - x**4) + 157 - 157 + 20*x**4 to s*x + b*x**2 + d + j*x**4 + i*x**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0. Let l = -0.5 + 0.5. Let d = l + t. What is the third smallest value in 0, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*x + 10 = 0, -x - 2 = -5*a + 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232 + -231. Let q(h) = h - 1. Let r(p) = -4*p + 3. Give v*r(s) + 3*q(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**2*w**2 - 2*s**2*w - s**2 - 8*s*w**2 - 32*s*w wrt w.\nAnswer: 12*s**2 - 16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -55.19 times 399\nAnswer: -22020.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 25*h**2 + 4*h + 76. Calculate d(-25).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - ((5 - 21) + 13 + -4 + 12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65 - 1642?\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 174 = -3*l - 58, -143 = -4*l - x. Suppose -3*d - 4*v + l = -12, 2*v + 47 = 5*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12249 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210200210 (base 3) in base 4?\nAnswer: 31132032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 6:16 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5461\/105 + -52. Let g(j) be the second derivative of -1\/30*j**4 - 1\/25*j**6 + 0*j**3 - 9*j - 3\/50*j**5 - c*j**7 + 0*j**2 + 0. Factor g(k).\nAnswer: -2*k**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 7. Let p(a) = -17*a + 20. Let r(v) = 20*v - 21. Let s(d) = -6*p(d) - 5*r(d). What is -9*i(k) + 4*s(k)?\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27629649*c - 5*c**3 + 27629650*c - 3*c**3.\nAnswer: -8*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + -0.08. Let z = g - -6.14. Let i = z - 6.25. What is i rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 52*d + 681. Determine x(-41).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 260200? (a) -2 (b) -0.1 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013052 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*205 + 5 + 12\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5897 - 5897.6. Suppose -r + 5*r = -12. Sort -1\/3, u, 4, r in descending order.\nAnswer: 4, -1\/3, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -27*l - 158. Let z be q(-6). Suppose f - 15 + 3 = -y, z*f = y - 12. Sort -2, y, -5 in increasing order.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - 9*z**3 - 29*z**3 + 2*z**3 to the form a + f*z + b*z**2 + q*z**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144477 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3033707 is divided by 2147.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*g**2 + 301 + 313 - 614.\nAnswer: -237*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 6*w + 8. Let l = -15 - -21. Suppose 5*n + 36 = l. What is the units digit of c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k + 722. Let a(c) = 6*c + 1445. Determine -3*a(s) + 5*y(s).\nAnswer: 2*s - 725","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 172, 282, 392, 502?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**3 - 20*s**2 + 3*s - 8. What is m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-20) - (-7627)\/5. What is r in 144*r**3 - 1514 - 86*r - 32*r**4 - 114*r**2 + 3028 - i = 0?\nAnswer: -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:46 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s + 768 = -83*s - 462 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3) + (-34)\/153*-21\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x - 9. Let p be -2*((-2)\/(-8))\/(34\/(-204)). Solve -6 - x = p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w**2 - w - 920. Let a(n) = -71*n + 2. Calculate u(a(p)).\nAnswer: -30246*p**2 + 1775*p - 946","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 152 = 5*u. Let n be 12\/42 - u\/(-14). Suppose -n*r + 8 = -19. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - 1.7. Let z be (70\/(-240) + (-3)\/8)*6\/7. Sort d, z, 6, 3 in increasing order.\nAnswer: d, z, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*h**2 + 117*h - 5038 wrt h?\nAnswer: 18*h + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.1, 23, -6, 0.5, 5.\nAnswer: -6, -4.1, 0.5, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1161c0 + 3?\nAnswer: -1161bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 873, 7020, 23691, 56148, 109653, 189468, 300855, 449076?\n\"Answer: 877*f**3 + 8*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 72\/(-96)*(-644)\/(-6). Let x = d - -1187\/14. Let v = 1.1 - 0.1. Which is the nearest to v? (a) x (b) 2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126 >= -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Let m be (2 - 4)\/(w + -1). Suppose -m*z + 2 = -z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 o when three letters picked without replacement from {k: 4, o: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 1, r: 2, d: 2}. Give prob of sequence dg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/2)\/(4\/(-1))*(-276)\/(-483)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 424043?\nAnswer: -424013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 + 123. Let a = -10.4 + 1.4. Let o = a - c. What is the third smallest value in o, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, v: 9, u: 2}. Give prob of sequence vi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0 = 4. Let w(s) be the second derivative of s**4\/4 + 5*s**3\/6 + s**2 - 94*s - 4. Let m be w(j). Solve -3*f - m = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 17595497.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -21*n. Let h(d) = 11*d. Let z(g) = -9*h(g) - 5*s(g). Let o(w) = 17*w + 5. Let t(x) = 25*x + 7. Let r(j) = 7*o(j) - 5*t(j). Determine r(z(m)).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10\/20 + 15\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333021 (base 4) in base 11?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/4 - 8*p**3\/3 + 19*p**2\/2 - 85*p + 7494. Give n(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*i + 38, 3*i = -5*m - 2*i + 70. Suppose -1 = -2*n + m. Let w(c) = -c + 2. Let j be w(0). Calculate the highest common factor of j and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2416065395.\nAnswer: 5, 483213079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14326 + 14342.002. Let l = v - 16. Let h = -0.00200069 + l. Round h to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -55. Let d = o + 20. Let q be 1\/(-10) - 2\/d. Which is the third smallest value? (a) 3\/4 (b) 0.02 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + (18 - 10) - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 12:35 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d**4 + 187?\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -37756 = -35578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(1\/10)*r**4*r*r**4*r*r**(-6))\/(r*r**(-1\/12)*r*r**(-4))**(-28) assuming r is positive.\nAnswer: r**(-1573\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59946520.77 + 44.2?\nAnswer: 59946564.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 5*s - 16 = 0, 4*s + 6 = -q. Let j = 51 + -35. Suppose 0 = q*o + 2*o - j. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5))**(-9\/8) assuming z is positive.\nAnswer: z**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27564777083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m + 82*m - 59 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*i**3 + 0 - 1.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*u - 43 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 46321256.\nAnswer: 138963768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.124*2885.41\nAnswer: -357.79084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4418.294? (a) 5\/4 (b) -4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3168, -8396, -17802, -33474, -57500, -91968?\n\"Answer: -348*p**3 - p**2 - 2789*p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/27*(-3)\/(-7)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -33*1*(-28)\/12. Factor -13*c - 120*c**3 + 3*c - 79*c**4 - r*c**2 + 24*c**4 + 2*c**2.\nAnswer: -5*c*(c + 1)**2*(11*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1641, 1598, 1555?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -24\/11, -0.4, 2 in descending order.\nAnswer: 2, -0.4, -24\/11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4584*n**3 - 40*n + 96.\nAnswer: 27504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 3*s - 1920. Let p be (8\/10)\/((-4)\/s). Calculate the highest common divisor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 10:37 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-48)\/(-27) - 6\/(-27). Let l be (-1)\/s*(-1 + 17). Let p = -4 - l. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -90221 + 162000. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184.4 - -17.6. Which is smaller: o or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/8 + 229*p**4 - 33271*p**3\/8 + 26849*p**2\/4 + 11100*p = 0.\nAnswer: -1850, -1, 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -848074280 divided by -4?\nAnswer: 212018570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1900 = 4*r - 4*p, -p - 3*p - 8 = 0. Suppose -r = -w + 387. Suppose 4*v + v = w. What is v rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/22, 0.4, 1\/3, 35.43, 5\/2 in decreasing order.\nAnswer: 35.43, 4, 5\/2, 0.4, 1\/3, 1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 172 and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 598*m - 13708 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -2063?\nAnswer: 2062.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 22, 47, 94, 169, 278?\n\"Answer: p**3 + 2*p**2 - 4*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**7\/560 + 7*u**6\/720 + u**5\/48 + u**4\/48 - u**3\/6 + 2*u**2. Let t(z) be the first derivative of d(z). Factor t(w).\nAnswer: (w + 1)**2*(3*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1721835407 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 + (-8)\/3. Let v = 4 + h. Solve -v*a + 10 = -7*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339 + 446.6. What is y rounded to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 + -191. Suppose -x*g + 767 = 3*o, -2*o - 6*g + 513 = -3*g. What are the prime factors of o?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, e: 1}. What is prob of picking 2 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79.2 in -1597, 1\/4, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-6\/11))**(26\/5)\/(j**(1\/8))**(-9) assuming j is positive.\nAnswer: j**(307\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 12428 + 24847 - 12427 + 9*o + 4*o**2. Determine l(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11086\/17613 + -2\/927. Are v and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 2*u + 18, -2*r + u = -0*u - 1. Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136336191 and 1197?\nAnswer: 2863060011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*m*x - 2*m - 7389*x + 41474 with respect to x.\nAnswer: -7*m - 7389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/18532914 and -109\/15337584.\nAnswer: 444789936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 1. Suppose -7 + 2 = -p. Let y be u(p). Let g = 144 - 134. Calculate the greatest common divisor of y and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -10*h - 1. Suppose 13 = f - 0*f. Solve 3*o = f - h for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, e: 1, b: 1, w: 1, d: 2}. What is prob of sequence wa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.025+620954107031\nAnswer: 620954107031.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/11 - 2\/((6\/36)\/(46\/(-138))).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1 = k - 7, -1153 = z + 4*k - 1134 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*q - q. Is ((-2)\/q)\/(2\/(-12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 101?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 670372630 to the nearest 100000.\nAnswer: 670400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52657 + -52656.47959. Let a = f + -0.52. What is a rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47002051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 14*y**2 - y. Let i be h(14). Find the common denominator of (-4050)\/(-504) - (-4)\/i and (-82)\/(-88) + (-2)\/8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66530157 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -108*j**5\/5 + 53*j**2\/2 + 46. Find the second derivative of g(f) wrt f.\nAnswer: -1296*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -5, 113, 4, -6.43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 16) to base 15\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17043 and 897?\nAnswer: 17043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - -3. Let n be i\/6*4\/(-10). Let k = -2 + 2.2. Which is the closest to -0.3? (a) 5 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*3\/(-36)*-4\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -256*g - 168. Let t(z) = -255*z - 153. What is -10*i(o) + 11*t(o)?\nAnswer: -245*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.99856325 to 1 dp.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217890 divided by -43578?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6762081*c**4 + 14663499*c.\nAnswer: 81144972*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -8 + 17 + 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*i - 3*i + 18*i to h*i + w and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x. Suppose 2*c + 2*c - 8 = 0. Let a(d) = 2*d - c*d - d. Determine a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 2*p**2 - 4*p + 3. Let i be u(4). Let g = 82 - i. Let j = g + 32. What are the prime factors of j?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.31 times 1961?\nAnswer: -2568.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -41. Suppose 0*a = -2*a + 3*k - p, -2*a + 4*k = 6. Sort 3, a, 4.\nAnswer: 3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = w - 4*w. Let p = -7 - w. Is 2 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102 - 3) + (72 - (16 + 81)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -512545 + -54255. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - 66) + 9 + -3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60636 and 929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4597.73248 + -4576.25. Let a = n - 18.3826. Let i = a + -3.1. What is i rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1736*k**2 - 43386*k - 345. What is o(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 456.258 - 455. What is l rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1349*t - 6181. Calculate s(-5).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1207776 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nndoofndzobn. Give prob of picking 3 o and 1 d.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a**2 - 14047*a - 28*a**2 + 14049*a.\nAnswer: -56*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 120*j**2 - 220*j.\nAnswer: -5*j*(j - 22)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6117*j = 5135*j + 528844 for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 125.41 (b) 3 (c) 4 (d) 0.6 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 32.96?\nAnswer: 8.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(5) - sqrt(5)*1 - sqrt(5))**2 + -5)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i + 23. Let u be s(-13). Which is bigger: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + 19 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -745472, -1490933, -2236394, -2981855?\n\"Answer: -745461*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x**2 + 6*x**2 + 24*x**2 as d*x**2 + a + r*x and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 6*q**2 + 147. What is the remainder when 127 is divided by a(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w**17)\/(w\/(w\/w**(2\/5))*w**(1\/5)\/w))**(17\/6) assuming w is positive.\nAnswer: w**(1139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and -1485?\nAnswer: -356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 4, h: 3}. What is prob of sequence gwhg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6 - (-6111)\/(-2457)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0599 - -72.8401. Let r = -279.4 + j. Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/12 + l**3\/6 + 2*l**2 - 31*l. Let z be b(0). Suppose -z = 4*h - 36. Solve 4*m - h = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-280)*370\/74.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 0)*(4*k + 2*k - 5*k) - 2*k - 3 + 3 + 228437*k - 477796*k + 236719*k.\nAnswer: -12643*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-21)\/(-63))\/((-1)\/(-5487)).\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 995217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 249430215?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 15*o**2 - 31*o + 241. Let m be q(14). Solve -12*u - 30 = -16*u + 5*v, 0 = m*u + 4*v - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1573) + ((sqrt(1573) - sqrt(1573)*2) + sqrt(1573) - sqrt(1573))) + 2)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - p**2 + 0*p**2 + 4*p**2 + (-4*p**2 - p**2 + 4*p**2)*(0 - p + 0).\nAnswer: 3*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 459997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - -221. Let l = h + -211. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1025\/(-15)*(-2 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91 - -102. Suppose -z = 3*u - 65. Suppose 15*o - 14*o - u = 0. What is the smallest common multiple of 26 and o?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4)*(-2)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11670*z - 3571021. Give s(-306).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z**5 + 1568*z**4 + 12004*z**3 + 25700*z**2 - 15200*z + 2000 = 0. Calculate z.\nAnswer: -10, -5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8880 by 240.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 6*p**2 + 2*p + 19. Let z be v(-6). Suppose h + z*h - 104 = 0. Let i be 2*(5 + -1) + 1. Solve d = x - d + i, 3*d - h = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/76)\/(138\/(-1311))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bee when three letters picked without replacement from {b: 1, e: 3, w: 2, a: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -261, 0.01, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) + 0)*1 + 0 + 5.\nAnswer: -6*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(-3\/11)*d\/d**(-7)*d**(2\/17)*d*d assuming d is positive.\nAnswer: d**(1841\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -50, 0, 0.2, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18462, -36925, -55388, -73851?\nAnswer: -92314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-969))\/(34\/(-578)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from yyyayyyy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 2498 + 526. Suppose -62*q + 68*q - j = 0. What is the greatest common factor of q and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -48*c + 4. Let g be n(-4). Suppose -4*y = 4*f - y - g, -f + 49 = -3*y. Is 22 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 9 + (-4 - -1) + -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 492, 9, 3, 2, 36, 4 in increasing order.\nAnswer: 2, 3, 4, 9, 36, 492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*l**4 - 2*l**3 - 54*l**4 - 99*l - 58*l**4 to the form w*l**3 + h + g*l**2 + z*l**4 + p*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/((-3)\/(-14)). Suppose 0*s = 2*s - 3*v, 2*s = 2*v - a. Which is greater: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*p**4 + 8616787*p**2 - 768822366.\nAnswer: 60*p**3 + 17233574*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 + -6265\/11. Let u = -1.93 - 0.07. Which is the closest to u? (a) 1 (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u**9*u)\/u)\/u)\/u**4)\/(u*u**0)**(-1\/9) assuming u is positive.\nAnswer: u**(55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - f - 27 = 0, 3*f + 10 = -n - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/3600 and 29\/60.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 168, 676, 1554, 2832, 4540, 6708?\n\"Answer: 5*d**3 + 155*d**2 + 8*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3824?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4244 = -3*m - m - 3*a, 1061 = -m + 4*a. Let i = m + 1495. List the prime factors of i.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85769 - -176\nAnswer: 85945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 + 562*r\/13 + 4896\/13.\nAnswer: 2*(r + 9)*(r + 272)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104829 divided by 1.\nAnswer: -104829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -84, -234, -476, -828?\n\"Answer: -3*j**3 - 19*j**2 + 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438956195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w = 94*w + 636. What is the greatest common factor of 53 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**2 - r - 6. Let k = 27 - 33. Let i(d) = d**2 + d. Let x(t) = k*i(t) + h(t). Let b be x(9). Solve -5*v - b = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291653 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 5*x - 4. Let j be y(-6). Let z(g) = 6*g - j*g**3 - 2*g - 1 + g**3 - 9*g**2 - 3*g. Let m be z(-9). Is -10 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53156 and 1096.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*u - 2*n, -n - 2*n = u - 9. Let v(j) = j**2 - 19*j + 12. Let z be v(7). Let a = -66 - z. What is the remainder when u is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 3*x - 3. Let h(b) be the second derivative of 16*b**4\/3 + 20*b**3\/3 + 20*b**2 + 428*b. Calculate 6*h(k) + 80*m(k).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*w - 3 = 0, -11*i + 3*w = -9*i + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818489723.\nAnswer: 11777, 69499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y**2 - 4*y + 6. Let r be b(4). Suppose j + r = 2*n - 2, -n = 3*j + 3. Calculate the remainder when 36 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-8) + 2)*8\/2. Is (14 - x)*818\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 3*g**2 + 3*g - 2. Let n be l(2). Suppose n*d - 24 = 4*d. List the prime factors of (-3)\/2*208\/d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (46\/6)\/(1\/(-42)). Let f(u) = u**2 + 4*u + 186678. Let b be f(0). Let q = b - i. What is q rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*c + 33 - 33 + 2*c**3 + 41*c - 161*c.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**8*w**2*(w\/((w\/(w\/w**(-1)))\/w))**(-40) assuming w is positive.\nAnswer: w**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66141.\nAnswer: 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a - 8*a**2 - 30 - 51 + 112 + 2*a**3 - 58. What are the prime factors of r(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/5 + 714*n**2\/5 - 169932*n\/5 - 1714. Let t(w) = 0. What is w?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21527857637 + 21527857637 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48269*s**3 + s**2 + 13925*s**3 - s**2.\nAnswer: -34344*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 398747 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**3 + 148*y**2 + 621*y - 81. What is o(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**6*o))\/o**0)\/(o\/o**(-2\/3)*o*o**(1\/2)*o)*(o*(o**(-3\/2)*o)\/o)\/o**(-4)*(o*o*(o**3\/o)\/o)\/(o\/(((o**(2\/3)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885923?\nAnswer: 885923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*u - 368*u + 122*u.\nAnswer: -69*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -25.2 (c) 0.37 (d) 2.53 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoog. Give prob of picking 1 o and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = f - 6*f - 8, -16 = 4*f. What is k rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 620, 1378, 2138, 2900, 3664, 4430, 5198?\n\"Answer: w**2 + 755*w - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1258293*m**2 + 2*m. Let n be p(4). Suppose 0 = -6*a + 78932696 - n. Round a to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**2 + 125*y + 750 = 0.\nAnswer: -15, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 686\/(-9) - (-2)\/9. Let n = 231 + x. Suppose 5*v = n + 45. Is 18 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -461 + 470. What is the smallest common multiple of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 8*i + 35. Let h(w) = 9 + 8*w**2 - 437757*w**3 + 1 + 437756*w**3. Is h(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.03, 2\/3, 1.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 - 125?\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:44 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -3 - (-12)\/2. Let b(k) = 38 + 0*k**3 - 43 - k**c. Let l be 2\/8 - (-2)\/(-8). Determine b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -716 - -1333. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*d = 404, 0 = -3050782*i + 3050783*i + 3*d - 99 for i.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (390\/1040 - (-365213)\/8) + -8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10573117*n**3 + 27230464?\nAnswer: -31719351*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(6\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803669881.\nAnswer: 7, 114809983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1583898, 1583899, 1583900, 1583901, 1583902?\n\"Answer: u + 1583897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 32 = -5*m, -4*m = -5*m + z + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 480135536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/(-110) - 331\/(-5) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31553453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2156 + 4423. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13973 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -40 + -13 + -3 + 1 + -4 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {e: 1, d: 1, g: 1, t: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 896630 and 12950.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 7*g**2 + 4*g + 18. Let n(w) = -13*w + 97. Let f be n(8). Determine d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2316, 4670, 7022, 9372?\n\"Answer: -z**2 + 2357*z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjojgoooojof. Give prob of picking 1 o and 2 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 258 = 44*n, 2*n = -3573*i + 3576*i + 44 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (3 - -3)) + (-2 - -1). Let f be (9\/(-42))\/(j\/6). What is the third biggest value in -2\/7, 1, f, 4\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (20415\/400 - 1). Let m = t + -827\/16. Find the common denominator of m and (10\/(-32))\/((-2)\/4).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75050 - -75054. Let x(c) = 2*c**2 + c. Let l be x(-1). Put -6, b, 2, l in ascending order.\nAnswer: -6, l, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033353 is divided by 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34855, 69342, 103829, 138316?\nAnswer: 172803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 13. What is the remainder when 42 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*n**4 - 18741135*n**3 + 8031750*n**2 + 9179260*n + 1529880 = 0 for n.\nAnswer: -2\/7, 1, 76494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 229\/1832*(-1 + -2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 5*n**2 - 7*n - 2. Let w be a(-6). Let r(o) = 4*o**2 - 9*o - 3. What is the tens digit of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*y + 94*y = -28. Find the second derivative of 43*h**4 - 15*h**4 + 2*h + h + y*h wrt h.\nAnswer: 336*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -977, -1465, -1953, -2441?\nAnswer: -2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2 + 6*k. Let f(p) = p**2 + p. Calculate -6*f(h) + o(h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/200 + 7*d**4\/120 + 17*d**3\/60 + 9*d**2\/20 - 8*d - 4. Factor m(j).\nAnswer: -(j - 9)*(j + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 422 - 399.1. Let y = -23 + o. Let b = 2 + -6. What is the third biggest value in b, y, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + 1)**2 + (sqrt(3) - (1 + (sqrt(6)\/sqrt(2))**2)) + ((sqrt(75)\/sqrt(5) - sqrt(15))\/sqrt(5) - (4 + (sqrt(3) - sqrt(12)))).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2025 + -2027. Which is the nearest to o? (a) -1 (b) -4 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.49232+-0.73011\nAnswer: -7.22243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -35, 2.\nAnswer: -35, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2811047.1 to the nearest 1000.\nAnswer: -2811000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 651214 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-12) + 7\/(-3). What is the units digit of (3\/(-4))\/(l\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k + 422. Let g be w(-7). What is the derivative of 377 + g + 234*p**3 - 614 wrt p?\nAnswer: 702*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*k**3 - 2249*k**2 + 2249*k**2.\nAnswer: -395*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) -3 (c) 14 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7649902647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(102)*3 - sqrt(102))*6)\/sqrt(6).\nAnswer: -1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, 87 in increasing order.\nAnswer: -16, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121.72 - 2.52. Let x = -119 + q. Which is the second biggest value? (a) x (b) -2 (c) -2\/37 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a. Let m be (-13 - -1 - (16 + -22))\/((-18)\/(-12)). Let z(r) be the first derivative of 5*r**2 + 1. What is m*z(q) + 14*x(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(4\/7)*h)**33 assuming h is positive.\nAnswer: h**(594\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 725d953 - 0?\nAnswer: 725d953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 4, -10, -30, -56, -88, -126?\n\"Answer: -3*y**2 + y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -2.12?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 10*v + 13. Let h be ((-4)\/(-2))\/(6\/27). Let j be w(h). Let -27\/4*d + 21\/4*d**j + 27\/4*d**3 - 3\/2 - 15\/4*d**2 = 0. What is d?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 11 + 5 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159411484, -318822965, -478234446, -637645927?\nAnswer: -797057408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/12 + 5*u**3\/6 - 73*u**2. Determine q(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4359 - -4355. Which is greater: y or -46?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/158 and 33\/10.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31040 + -23460. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 63650506800*m**2 + 55059480*m + 11907 = 0.\nAnswer: -63\/145660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -2.85?\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t - 1 = 3*v, 5*t - 5 = 2*v. Let q be 10*(v + 1\/2). Let f be (-1 + 3\/(-9))*(-66)\/4. Solve 3 = q*p - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69201321*h**2 - 79291130*h wrt h.\nAnswer: -138402642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.19, 1.92, -1\/4, -28, -0.4?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - z + 44 - z + 10*z to the form m + s*z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1415207.4 minutes?\nAnswer: 23586.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 712\/6*(-39)\/(-13). Is x smaller than 357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1880\/1410*(-138)\/8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by (56\/6)\/((-12)\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884306123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-21)\/7)\/12)\/(10\/((-160)\/54))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.7. Let r = 48.3 - 52.3. Sort 1, n, 5, r in decreasing order.\nAnswer: 5, 1, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p - 1. Let r be h(-3). Let j = 81 - r. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-6 + (-2)\/2 + 4). Let h(c) = 15*c**2 + 5. Let p be h(q). Suppose 45*i + p = 50*i. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 6*p + 8*p - 12 as l + y*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:43 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 + 56888*a - 97939488 = 0. What is a?\nAnswer: 2004, 12218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*l - 2*w, -2*w - 14 = -l - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16989.\nAnswer: 3, 7, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -6 - (-26)\/(-2). Let j = v - -19. Suppose j = 2*b + 3*n - 2, -2*n - 16 = -2*b. Which is greater: b or 34\/5?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9855 (base 13) to base 10\nAnswer: 21195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27675847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + -2. Let b(q) be the second derivative of q**4\/12 + q**3\/6 - 2*q**2 - 2*q. Calculate the lowest common multiple of 3 and b(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 1657098.\nAnswer: 6628392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -48*g + 2676. What is y(56)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 7*u**2 + 18*u + 6. What is s(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 82 = 12. Suppose n = 5*g - 5. Solve 3*l + x = 0, 2*l - g*x = -0 - 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.3, 4, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/14 + (-32)\/1344*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 7 + 4 = -5*r, 803*k = 801*k - 20*r - 42 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20994915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2)*s)\/s)\/(s\/s**(6\/5))*(s\/(s\/(s*s\/s**(-5))))\/s**(-2))\/((s*(s*(s*s**(2\/33))\/s*s)\/s)\/(s*s*s**(1\/2)))**(-35) assuming s is positive.\nAnswer: s**(-2699\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -8*x**3\/3 - 31. Let i(b) be the first derivative of 0*b**2 + 4 + 2\/3*b**3 + 0*b. Give i(t(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 6*p**2 + 0*p**2 + 335 - 335 + 198*p**2 + (2*p + 2*p - 6*p)*(-p + 2*p - 2*p) to f + z*p**2 + j*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, 71.\nAnswer: -3, -0.2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o - 20. Calculate j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*2\/(-15)*30\/24. Which is smaller: -17 or o?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 18 - 2. Suppose 0 = 3*f - 10 - a. Determine g so that -2*g - 2 - 3*g + 3*g + f*g - 2*g**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 5962?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**4*w**2 - 28*u**2 + 5*u*w**3 + 4*w**3 + w**2 + 208 wrt u.\nAnswer: -4*u**3*w**2 - 56*u + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010001210 (base 3) to base 10.\nAnswer: -21918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286900627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226590 a multiple of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -60542 less than or equal to -60543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37065 + 37180. Solve 2 - 2 = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 - 13*s**2 - 5*s + 13. Give p(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -58. Let o = -15 + 59\/4. Let x = -1.4 + 1. What is the smallest value in x, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - 714?\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 - -164.671. Let h = m + 0.329018. What is h rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3667 and 2123?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) -130 (b) 5 (c) -1 (d) 1 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 22. Sort i, -2, -1, -4 in descending order.\nAnswer: i, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -199*h**2 + 375*h wrt h?\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-43)\/15 + 28\/(-210). Is (-1814)\/(-8) - s\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/65 or 1?\nAnswer: 23\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269304 divided by -1832.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.148 + -0.052. What is the second smallest value in 1\/7, b, -5, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b**3 - 95945770*b**2 - 191891543*b\/6 - 7995481\/3 = 0. Calculate b.\nAnswer: -1\/6, 15990962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -4*w + 4, 23*z - 1 = 6*w + 24*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.69446809 rounded to 2 dps?\nAnswer: -8.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2477101 + -5?\nAnswer: 2477074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3 + (-204)\/(-96) + 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, e: 4, q: 3, h: 1, c: 1, j: 1}. What is prob of picking 1 c and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197058 is divided by 1428.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 129.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.047167 months to millennia.\nAnswer: 0.00067059725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + d**2 + 2)*(-7*d - 20 + 20).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 312438 divided by 10\nAnswer: 156219\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 141211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 41018 = 2*u, 5*t + 205126 = -u + 2*u. Let s be (-2)\/(-9) - t\/(-18). Let p = s - -18261\/8. What is the common denominator of 9\/5 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301*s - 2 + 4377*s - 2528*s.\nAnswer: -452*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 92?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1270\nAnswer: -2\/635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172694166 greater than or equal to 172694166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 13*d + 19. Let y be c(14). Let h(l) = 2*l - 2. Let u(w) = 2*w - 3. Calculate y*h(r) - 4*u(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 = -2*m + 5*m, 4*n + 33 = 5*m. Solve -2*v + 5 = -m*g, -3*v - 4 = 2*g - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*s = -11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41377 - 4468681\/108. Let h = m + -2\/27. Let z = -1.41 + 5.41. Put z, -0.2, h, 0.1 in descending order.\nAnswer: z, h, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 2 (c) 5\/12 (d) -31.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13682, 0.2, -3.3 in descending order.\nAnswer: 0.2, -3.3, -13682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -264, -609, -944, -1263, -1560, -1829, -2064?\n\"Answer: o**3 - o**2 - 349*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5686723 is divided by 275?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 4. Let b be q(8). Suppose -5*f + 2 + 18 = 0. Find the second derivative of 4*a**f - 15*a - 2*a**b + 13*a wrt a.\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let t(x) = x + 5. Let w(n) be the second derivative of 0 + 1\/2*n**2 + 32*n. Let k(l) = 6*t(l) - 30*w(l). Determine c(k(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 487679 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 100101000100110000100?\nAnswer: -100101000100101111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*q**3 + 5\/2*q + 0 + 13\/4*q**2 - 1\/4*q**4.\nAnswer: -q*(q - 5)*(q + 1)*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 10015667 by -6.\nAnswer: -10015667\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 430227.7 kilometers?\nAnswer: 430227700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/19 and (-3)\/(-6) + (1615\/362 - (-25 - -30))?\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 4, 61, 2\/7, 1, 10, 6\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 21*u**2 + 34*u - 245. What is g(20)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 45 (b) -1\/3 (c) -6\/11 (d) -5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 1 + 2 - 162*f + 5 - 27*f to j*f + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*o - o = -3, 15 = 2*g - 3*o. Suppose -g*f - 15 = -4*v - 1, -14 = -2*v + 5*f. Solve 2*s + 15 = 5*c, v*s - 25 = -c - 2*c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 28*a**3 + 5*a + 11. Let h(w) = 19*w - 18*w + 2*w**3 + 4*w**3 - 5*w**3. Let u(v) = d(v) - 5*h(v). What is the derivative of u(z) wrt z?\nAnswer: 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 385*f**2 - 13*f + 4. Is t(2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 146, 1\/4, -112, 2?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 + 570\/7. Suppose 0 = -246*g - 240*g + 511*g + 125. Which is the second biggest value? (a) g (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/5 + 3038*h**4 - 12130*h**3 - 285440*h**2 - 4312629*h\/5 - 592254 = 0.\nAnswer: -5, -3, -1, 13, 15186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2 + (sqrt(63)\/((sqrt(9) - (sqrt(9) - sqrt(144)))*-5) + -4 + sqrt(35)\/(-2*sqrt(5)))*-5)**2 + 4).\nAnswer: -18285\/8 - 594*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-14))\/((-12)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-248)\/(-56) - 1058\/(-14). Let m = s + -74. Let t = 60 - 38. Calculate the highest common divisor of m and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9958 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**4 - 4720*t**3 + 1670880*t**2 - 262885120*t + 15510222080 = 0.\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7825*(1 + 2 + (3 - 806)). Round o to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1249)\/(-8) + (-100)\/32 + 3. Is 1\/4 + 1677\/s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 1. Suppose -5*n - 10 = -5*b, n - 5 = -b - 1. Let w(q) = -4*q - 4. Let g(l) = n*w(l) - 5*p(l). Let x be 1 - 0 - (-1 - 2). What is g(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264*k + 3817 = 5*c, 389*k - 392*k + 19 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(72))\/((sqrt(4) - 1*sqrt(64)) + sqrt(4)).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = 2*w - 4*t, 0 = 3*w + 2*t - 14. Let v = w - 6. What is the second derivative of -2*p + v*p**3 - 4*p**3 + 3*p**3 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 2, c: 2, t: 1, p: 2}. What is prob of picking 1 c, 1 p, and 1 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4081 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 4. Let t be u(6). Which is the biggest value? (a) t (b) -0.04 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90064 is divided by 30015?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 163054*c*u**3 - 816*u**3 + 4*u**2 - 1 wrt c?\nAnswer: 163054*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * 37471.2.\nAnswer: -41218.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1968 - -1962. Let k be (-16)\/i*(-342)\/(-72). Solve 4*n + 0 + 16\/3*n**3 - k*n**2 + 10\/3*n**4 = 0 for n.\nAnswer: -3, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 2, u: 5, k: 2, o: 7}. What is prob of picking 2 v?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*v + 3*o, -20 = -0*v - 5*v + 3*o. Calculate the lowest common multiple of 3\/(-1) - (-8)\/v and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.941, -1\/174, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 134055 (b) 4 (c) -0.035 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24893760*l**2 - 24750028 wrt l.\nAnswer: 49787520*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/18)\/(909720\/(-2736))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/70*(5 - 1). Which is the closest to -4? (a) y (b) -3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824905231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from fffpfp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, -0.102, -2, -2\/5, -154\/5, 1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-99)*-3)\/((-32)\/(-88))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -201.1?\nAnswer: 201.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + l + 7951, 6857 + 9060 = 4*w - 5*l. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from kmmkomomooo?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -105, 3, 19, 0.07, -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -43*d**2 + 262*d + 14. What is a(7)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5012\/(-280) + (-2)\/20)*1\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 16079.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 86*p + 3. Let t(j) = 85*j + 4. What is 3*b(k) - 2*t(k)?\nAnswer: 88*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8578763 is divided by 1015?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/38 and -83\/316730?\nAnswer: 316730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3*j**4\/4 + 25*j. Let u(a) = -a**2. What is z(u(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) - 4\/(-4). Let g = 810 + -810. Suppose g*d = w*d - 12. Solve 12 = -4*n, -v - d = 2*v - n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250619 - -250372.613. Let g = 246 + u. Round g to 2 dps.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 871631 and 4853.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196258, -392282, -588306, -784330?\nAnswer: -980354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/25721116?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 274 - 5a133?\nAnswer: -59b8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713683 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 159, 0.7, -0.5, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3213*n - 52422 + 8478 - 155262 for n.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 88, 113, 148?\n\"Answer: 5*m**2 + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1743 = -3*m + n - 1730, 4*m - 22 = -n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (196\/(-91) - -7) + (-6)\/(-39). Let m(y) = -y**3 + 4*y**2 + 5*y + 11. Calculate m(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -693.55676 + 691.89. Let c = -90 + 91.67. Let f = c + v. Round f to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(2450\/28) - 96\/(-35)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 133*d + 8630. Let j be p(-67). Which is smaller: j or -1127\/4?\nAnswer: -1127\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence duup when four letters picked without replacement from uxudp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -171208, -171175, -171142, -171109, -171076?\n\"Answer: 33*g - 171241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 + 6*n - 3. Let x(m) = -m**2 - m + 1. Let s(p) = h(p) + 5*x(p). Let y be s(0). What is the third biggest value in 0.3, 7\/3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(405) + -3 + sqrt(405) + sqrt(405) + -4 + sqrt(405) - 2*sqrt(405)*-4) + -3)*6)**2.\nAnswer: -69984*sqrt(5) + 2102436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p\/(p**0*p))*p))**45)**(2\/83) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**5 - 2857*o**4 - 2154*o**3 + 6437*o**2 - 1430*o = 0. Calculate o.\nAnswer: -2, 0, 1\/4, 1, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r - 23*r - 72*r to q*r + v and give q.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, -10, -6, -4, -1 in decreasing order.\nAnswer: 2, -1, -4, -6, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*l**4 + 0*l**3 - 5*l + 90*l**4 - l**2 + 9*l**3 as h + i*l**4 + u*l + r*l**2 + s*l**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1623887 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (265\/2)\/((-3)\/18). Let k be 4*m*150\/9. Round k to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 times 0.47\nAnswer: -59.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51809381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -443, -490, -573, -704?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(52\/(-24)) - (-12 - -7)) + 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*g - 6, -3*g - 22 = -4*d + 2*g. Let r be (-4)\/d*5\/(130\/(-39)). Solve -3 = r*o - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 143*d**2. Let q(c) = 306*c**2 + 1. What is q(a(r))?\nAnswer: 6257394*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2547 - 2672.94. Let n = -127 - k. Let l = -7.96 - n. What is l rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*x + 22*x - 12*x)*(6*x + 2*x**3 - 6*x) in the form y*x**2 + q*x**4 + k*x + a*x**3 + o and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**5\/30 + u**4\/12 + 2*u**3\/3 - u**2\/2 - 3. Let o(i) be the second derivative of r(i). Find t, given that o(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + s)*(4*s**2 - 2 + 2) + (-10 - 13*s**2 + 10)*(-7*s + 3*s - 2*s).\nAnswer: 82*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 8. Let w = -7 - -7. Suppose 5*l - l + 24 = w. Let y be k(l). Let m(n) = -n**3 - 3*n**2. Give m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c*c**(-1\/7)))*c**(-3)*((c\/(c*c**(-2\/3))*c)\/c*c)**29 assuming c is positive.\nAnswer: c**(970\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - j = 676. Let g = -43 - j. Solve 4*z - 26 = -3*v, -2*z + z + g = 2*v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let j(g) = -102*g + 50. Let z be j(-13). Let f(c) = -2*c**2 - 1376 + z + 54*c**2. What is m(f(q))?\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -3, 5\/4, -161801 in increasing order.\nAnswer: -161801, -3, 4\/7, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from uuugguiuiueu?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 6*g**2 - 12*g**3 - 2*g**2 + 24*g**3.\nAnswer: g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.5 (b) -3\/4 (c) -186 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/(-864))\/(2\/78). Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 176597?\nAnswer: 176597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvsv. Give prob of picking 2 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050644 to five dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/39)*w*w)**(2\/65) assuming w is positive.\nAnswer: w**(152\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 11*y - 2 + 3*y + 11*y. Let o = -884 - -886. What is p(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 35.5. Let s = 6.07 - 6. Which is the nearest to s? (a) v (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:48 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/5 - 126*z + 46784\/5.\nAnswer: (z - 544)*(z - 86)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-15))\/(4\/42). Let l be 1\/(-7) + 15\/u. Let h(f) = f**3 - 3*f**2 + 2*f + 2. Let m be h(l). Solve 0*d = m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755755 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: Express 5*d**3 - 10*d**3 + 6*d**3 - 6 as q + b*d + z*d**2 + l*d**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1 - 3)\/((-1)\/5) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*(-5*w**2 + w**2 + 3*w**2)*(-1 - 3 - 4).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156271823?\nAnswer: 239, 313, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 55. Let y = l - -16. Let o = y - -5. What is the second biggest value in 1\/2, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6664231989?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227539474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 292 = -36. Suppose a*g = 46*g - 9865. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -145141 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 + 227. Which is bigger: -2\/603 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266873104 to the nearest integer?\nAnswer: 16336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 17*h - 1. Let t(l) = 17178*l**2 - 243355*l - 14315. Calculate 14315*q(w) - t(w).\nAnswer: -2863*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, g: 5}. What is prob of picking 2 g?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -14444.605790629?\nAnswer: 14444.405790629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 160482 and -192.\nAnswer: 160290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -268 - -270. Find the third derivative of l**2 - 186*l**5 + o*l**2 + 3*l**2 + 1 wrt l.\nAnswer: -11160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7\/4, 3\/2, -21, -11?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 328.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1419*n**3 + 78*n - 31*n - 24*n - 23*n.\nAnswer: 1419*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2342 + -5?\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 7*t + 42. Let o be p(10). Solve 23*q - 20*q = -o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/4 + 2*k**3 + 5*k + 4. What is the units digit of f(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -21 - (21 + -9 + 24).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(343) + 1 + -4).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**2 - 5*y**2 - 4*y**4 + 4*y**2 + 3*y**2 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 317 = -14*u. Let r be -1 + -4 - u\/((-15)\/(-5)). Is r equal to -8\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-28) - 2\/(-8). Let g = -160 - -114. Let b = g - -45.6. Put w, b, 3 in descending order.\nAnswer: 3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3600, 7197, 10796, 14397, 18000, 21605, 25212?\nAnswer: 28821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 28*r**4 - 56*r**3 + 52*r**2 - 20*r. Let h(u) = -u**5 + 55*u**4 - 111*u**3 + 103*u**2 - 39*u. Let a(i) = 4*h(i) - 7*m(i). Suppose a(d) = 0. What is d?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21888 rounded to three dps?\nAnswer: -0.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-84)*18 + (-4 - (-10)\/(-5))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**3 - c**2 - 3 - c**2 + 5*c**4 + 5*c**3 - 3*c**4 in the form g + p*c + u*c**4 + y*c**3 + j*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*h - 479 = -2828. Solve 8*t - h = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/66)\/(((-6)\/(-44))\/(-1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30450147 plus 49078?\nAnswer: -30401069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**3 - 7*d + 4. Let r(u) = 7*u**3 - 2*u + 1. Suppose 22*p - 19*p - 21 = 0. What is p*r(k) - 2*c(k)?\nAnswer: 9*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51 and 432.\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37393121 to the power of 1\/2, to the nearest integer?\nAnswer: 6115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 52 + 2 + 2 + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 44. Let n(w) = 60*w - 3. Let s be n(z). Let i = s + 430. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f + 8. Let x = 0 + f. Let v(q) = -43*q + 83*q - 39*q + 9. Determine v(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-3) - -3)*(-40)\/60. Differentiate 9*x**2 + 43 + j*x**2 + 88 + 21 + 99*x - 95*x wrt x.\nAnswer: 22*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -479*h + 11100. Let u be p(23). Solve -u = -24*b + 37 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 8897, -4, 1427?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u + 16. Let c be (2 - 18)\/(12\/(5 - 11)). Let k(r) = -20*r - 25. Let s(l) = c*t(l) + 5*k(l). Let a(x) = -6*x**2. Give a(s(n)).\nAnswer: -864*n**2 - 432*n - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44581775 is divided by 33048.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 1196*g + 163239. Determine c(-387).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 (base 11) in base 9?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49859106 - -216.\nAnswer: -49858890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-9))*i*i**(-2\/11))\/((i*i**3)\/(i*i**(3\/10))) assuming i is positive.\nAnswer: i**(-1197\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 140 + 28 = -4*l, 0 = 4*c + 3*l - 147. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-16)*((m\/m**(-13))\/m*m)\/m assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*a - 7, -a + 23 = -2*l - 6*a. Let t = -4.97 + 5. Let s = t + -4.03. What is the third smallest value in -3, s, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -443510044.\nAnswer: -443510043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3, -157295, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*17\/((-833)\/(-14)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + u - 24 - 28 + 7*u**4 - 17 to g + s*u + h*u**3 + o*u**2 + y*u**4 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6547045*y**4 - y**2 - 2*y - 6753.\nAnswer: -157129080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23183.15 rounded to the nearest ten?\nAnswer: -23180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120109, -120423, -120737?\nAnswer: -121051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzfzfzzfffzfff. Give prob of picking 2 z and 1 f.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, y: 1, z: 1, u: 1, g: 1, m: 1}. Give prob of picking 1 y, 1 u, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, w: 1, h: 1, f: 1}. What is prob of picking 1 w, 1 b, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-26)\/30)\/13*10\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 249434890 divided by -24721\nAnswer: -10090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 13472*u**4 - 1595864*u**3 + 42635504*u**2 - 180456900*u - 967088304 = 0. What is u?\nAnswer: -3244, -147, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 7, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 7:27 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-416)\/(-39))\/((378\/(-27))\/(-84))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7*k + 2. Let c(o) = -22*o**3 - o**2 + o + 1. Give c(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1195 + 379 = 0. Let y be (-258)\/q + 4\/34. What is the second biggest value in 5, 1\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12)*0*1. Suppose 3*o + 6*x - 9 = 2*x, o + 5*x - 3 = u. Solve 4*v - 7 = -o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4021 (base 9) in base 11?\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from snsssssscicncssscn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1219 - 901 + 2232)*((-2*p + 2 - 2)*(-1 - 3 + 2) + 1 - 1 - 2*p - 2*p + 2*p + 2*p - 2*p - 2 + 2) to the form k + d*p and give d.\nAnswer: 5100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1872)\/(-54756))\/(6\/(-9)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32690681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 237408 divided by -39568\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -126 (c) -2644 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12972.2788 to the nearest ten.\nAnswer: 12970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, r: 1, z: 3, e: 2, w: 1, c: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.16. Let p = 6 + -14. Let k = p - -8. Which is the nearest to -2\/7? (a) -2\/5 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**2 - 344549752*u + 344549756 = 0.\nAnswer: -86137439, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-4)*(4 - 0 - (-2570)\/(-1285))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2163933043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*d**3\/2 + 101*d**2 - 263*d\/2 + 5.\nAnswer: (d - 1)*(d + 5)*(51*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (74\/(-8))\/(((-22)\/(-8))\/(-11)). Let a = 33 - b. Let z(p) = -2*p**3 - p**2 + 5*p + 4. List the prime factors of z(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13062430 (base 7) in base 10?\nAnswer: -1191799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 19*n - 4. Let t(q) = -q - 1. Let h(z) = 6*t(z) - x(z). Calculate the remainder when h(-1) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 26.1 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6681, -6687, -6697, -6711?\n\"Answer: -2*b**2 - 6679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/11))**38\/(g**(5\/4)*g*g\/(g**(1\/5)*g)) assuming g is positive.\nAnswer: g**(6389\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4029 + 4031. Calculate the remainder when 1331 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/(-8))\/(1*(-2)\/20). Let m = 85 - w. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 22?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-3) + 183589\/(-63)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 27) + -80 + 92 + -8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -854 + 854.2. Suppose 3*i = -i - 40. Let u be -1 - (1 - (-14)\/i). Sort u, a, -2\/9 in descending order.\nAnswer: a, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -15*m**3\/2 + 5830000*m**2 - 19*m + 3. Let q be o(0). Round q to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, a: 2, w: 1, e: 1}. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 77. Let x be h(-13). Let p = x - -89. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634316561 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2*(-15)\/5*(-36)\/(-2862)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.104631946 - -8.904626846. Let a = x + -8.8. Round a to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5\/3 (c) 4.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2164 - 0.2164. What is the nearest to -0.123 in 3, -5, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 + -56. Suppose 0 = -2*q - 35 + i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w**2. Let d(c) = -4*c**2 - 2*c + 2. Let y(q) = -5*q**2 - 3*q + 3. Let t(a) = -3*d(a) + 2*y(a). Determine t(p(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 1) + -1 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*d - 6 = 0, 2*d + 2 = 4*f - 10. Suppose -4*y = 3*n - 7*n - 24, f*n - 3 = -3*y. Solve -h - 8 = -y*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**3 - 2*z**2 - 10*z + 20. Let t(a) = -a**3 - 2*a + 5. Let h(o) = -9*t(o) + 2*v(o). Give h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/2 + 8*q**3\/3 - 19*q**2\/4 + 5*q\/2 + 21. Factor a(d).\nAnswer: (d + 5)*(2*d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6697711, -6697712, -6697713, -6697714, -6697715, -6697716?\n\"Answer: -w - 6697710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**6\/720 + 5*z**4\/12 + z. Let f(p) be the third derivative of m(p). Suppose -4*c = -65 + 77. What is f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)*2)\/((sqrt(108)\/sqrt(3))\/sqrt(12)) + sqrt(171) + -1 + -2 + 2)**2.\nAnswer: -18*sqrt(19) + 1540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 - (-3 - -2) - (-17 - -33))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**0)**27)**(-2\/117)*(q\/(q*q*q\/q**(-1\/4)))**1*q**7\/(q*q\/q**(-7)) assuming q is positive.\nAnswer: q**(-293\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.063\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 7. Suppose -3*c = -0*c - k. Suppose 0 = c*v + 2*a - 20, 3*v = -2*v + 2*a + 78. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:55 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 315 + -135. Let b = 256 - v. What are the prime factors of (0 - b\/20)*-5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27200194 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 8. Give i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122092 * 18.6\nAnswer: -2270911.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-6)))**17 assuming y is positive.\nAnswer: y**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 133, 267, 443?\n\"Answer: 21*d**2 + 29*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001563 to seven dps.\nAnswer: -0.0000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*p + 5*r, -4 = -4*p + 10*r - 12*r. Solve -p*s - 14 = -8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 242.322 (b) -2 (c) 5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2328 and -149\/6984?\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14191.\nAnswer: 23, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 501\/21 + 2 + 2\/((-56)\/(-4)) and 186?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((4 - 17) + 7 + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301, 602, 903, 1204?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1441 and ((-3)\/6)\/((-2)\/(-4)) + (-169)\/(-1144).\nAnswer: 11528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/9 - 26*z**2\/9 - 80*z\/9 - 8 = 0. What is z?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 986*h + 64086. Give j(-65).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 95\/33182 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u**4 - u**2 - 2*u. Let z(s) = 21*s**3 - 10*s**3 - 19*s**4 - 11*s**3 + 3*s. Let v(q) = 3*n(q) + 2*z(q). What is the third derivative of v(o) wrt o?\nAnswer: 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -31, -75, -159, -295, -495, -771, -1135?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 0*q)*(-q**2 - q**2 + q**2)*(-2 + 2 - q) - 36*q**4 - 5*q**4 + 21*q**4.\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*h**3 + 7*h**2 - 349 - 3*h**2 - 7*h**2 + 348 + h in the form w*h + g*h**3 + v*h**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 113200?\nAnswer: 113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.19, 5, 11\/57, 4 in increasing order.\nAnswer: -3\/4, -0.19, 11\/57, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1321 + -5a3e?\nAnswer: -6d5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311 = 221*o + 4877 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 5*w**3 - 5*w**3 + 17*w**5 - 14*w**5 + 8*w**2 - 9. Find the second derivative of z(j) wrt j.\nAnswer: 180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 3 (b) -0.5 (c) -18\/11 (d) 2\/13 (e) 1.1 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1262, -5, 29, 4 in ascending order.\nAnswer: -5, 4, 29, 1262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -6. Let k(c) = 4*c. Let o(a) = 2*a. Let l(p) = t*k(p) + 5*o(p). Let h(u) = 2*u. Give h(l(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(147\/(-14)))\/(4\/54). Let t(i) = -2*i**2 + 22*i - 34. Let j be t(o). Solve 0 = k + j*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 6233221535?\nAnswer: 6233221531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 311613\/200767 + -312\/203. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -192 - 72. Let p = z - -46. Let v = -13 - p. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 60141.4ms?\nAnswer: 60.1414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10387, 20755, 31121, 41485, 51847, 62207, 72565?\nAnswer: 82921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56912317*t**5 - 68563407*t**2 wrt t.\nAnswer: 3414739020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 + 7*w + 2. Let h be i(7). Suppose -c = -h - 1. Solve 0 = m + c*m - 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744\/(-864) - (-2)\/18?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 6*d + 8. Let g(v) = 4*v - 5. Let a(i) = -3*i + 4. Let c(o) = 6*a(o) + 5*g(o). Let l(x) = c(x) + q(x). What is l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 9) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -11. Let t = r - -12. Which is the third biggest value? (a) -4 (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240017\/108680 + 573\/247. What is the common denominator of -19\/22 and z?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68288?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4)\/l*l)**(-26\/5)*(l**(2\/7)*l)**(-6\/13))\/(l**6\/(l\/((l\/l**(-1))\/l*l*l)))**(2\/53) assuming l is positive.\nAnswer: l**(19519\/48230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 11 = -5*o, 14*o = 6*c + 13631 - 13583 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(-1*sqrt(104) + sqrt(104) + sqrt(104))*3*-4)\/((sqrt(128) - (2*sqrt(128) + sqrt(128)))*5))**2.\nAnswer: -6*sqrt(13)\/5 + 142\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2447\/414 - 47\/46. Which is the second biggest value? (a) -5 (b) 2\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 2*k - 6, -31*d = -30*d - 5*k - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 7*o + 8. Let r be s(-6). Suppose r*j = -51 + 1409. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23384405 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 188*b\/3 + 187\/3.\nAnswer: (b + 1)*(b + 187)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/8 + 6\/24. Suppose y = b - 0*b. Does 14 divide 7*6*2\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - b = -3, -5*l - 2*b + 12 = 5. Suppose -3*m + 2*m = -2*o + 3, -4*m - 3*o = -43. Suppose -m*s = -2*s. Sort -2, s, l, 2 in descending order.\nAnswer: 2, s, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1272 + 2204 - 1197)*(2*i - 5*i + i).\nAnswer: 530*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 + s + 10. Let u be w(-9). Let z be u + 2 - (-15)\/(-15). Solve -2*g + z*r = -0 + 6, g + 2*r = 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(1*sqrt(182) + sqrt(182) + sqrt(182)) - sqrt(182))\/sqrt(7))\/((sqrt(8)*-2*1)\/sqrt(4)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511944.66s to hours.\nAnswer: 142.20685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555826 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 6. Let a be n(5). Let w(z) = -13*z**3 + z**2 - 2*z - 1. Let p be w(a). What is the first derivative of -m**2 + 3*m**2 - p + 10 - 11 wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/12 - (-21)\/(-12). What is the nearest to g in -4, 0.5, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*-2 + 1\/(-1). Let g = 3 + n. Let s(f) = -2*f - 3. Let y be s(g). Solve -q + 9 = -4*m, -q + y*m = -0*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26947 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-42 - -20) + 16 + -25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 1167, 2659, 4763, 7485?\nAnswer: 10831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaaaxaaagshaaxhxa. What is prob of sequence sxh?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24557437.\nAnswer: 773, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*1*sqrt(187)*-5)\/(-4*1*sqrt(891) - (sqrt(891) + sqrt(891)*1)*5).\nAnswer: 50*sqrt(17)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 75127416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4445 = u + 4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5871 and 17304.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-48)\/15)*10. Let f = b - 21. Suppose 4*a - 17 - 11 = 0. What is the remainder when f is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -1504173?\nAnswer: 1504172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 28*m**2 - 10*m**2 + 7*m**2.\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 282. Let d(b) = b + 6. What is 6*d(m) + p(m)?\nAnswer: m + 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 91. Let i(x) = x**2 + x - 3. Let n = 11 + -8. Let v be i(n). Calculate the greatest common divisor of v and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-12) - 68\/258. Suppose -5*q + 4*p = -8, 7 = 4*q - 2*p + 3. Suppose -20 = -4*b - 5*h, 8 + q = 2*b + 2*h. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-18)\/(-1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 1, r: 5}. Give prob of picking 3 r and 1 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**3\/3 + 153396730*c**2 + 306793465*c + 460190200\/3 = 0.\nAnswer: -1, 92038040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4816080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -8.1, 5, 0.1, -48\/7 in descending order.\nAnswer: 5, 0.1, -0.1, -48\/7, -8.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1667\/3 - -556. Let b(x) = -x**2 - 6*x - 2. Let j be b(-5). Suppose -4*n + 5*d = 34, -5*n - 7 = d + 21. What is the closest to o in n, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 17, 71, 157, 281?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8145 divided by -5\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920192821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -856 times -171104\nAnswer: 146465024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.281913 rounded to 2 decimal places?\nAnswer: -71.28","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 0.008*-73.02456\nAnswer: -0.58419648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 2*q - 4*q)*(0*q + 2*q + 3*q) + q**2 - 1 + 1 + 2*q - 2*q**2 - 2*q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25275432.94524 + 1.2?\nAnswer: 25275434.14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6948744 is divided by 169478.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/39 and 163\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 2 - ((2 - -4) + (0 - 10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 + 19*i - 175 - 3*i + 2*i - i + (-2 - 2 + 5)*(4 - 4 - 2*i) + 1 - 1 - i to x*i + s and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 1 - o**2 - 5*o**3 + 4*o**3 as x + i*o**2 + a*o + z*o**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24038341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 29*f**2 + 684*f - 2215. Calculate q(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 10, 23, -2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0, -80, -4, -131\/3, 1\/5?\nAnswer: -131\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -1\/5, -0.07 in descending order.\nAnswer: 2\/9, -0.07, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 15*v - 5*n + 33, -25 = -5*v - n. Let c be ((12 - 5) + -3)*3\/v. Suppose -3 = -2*w + 5. Solve -7*f - c = -w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 16*u - 476. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 385 = -j. Let s = 256 - j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 89. Let r(n) = 8*n**2 - 712. Let m(k) = -8*g(k) - r(k). Let t(f) = -f + f - 3*f. What is m(t(c))?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.1. Let n = 6 + -6. Let u be -1 - -2 - (n - 0). What is the nearest to u in q, -1\/7, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h - 812. Calculate w(-68).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/8 and -27\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6096894913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 40*x - 4*x**2 + 3 + 43*x - 1 as p*x**2 + y*x**3 + q + a*x and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1387427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1207*s**3*w + 2*s**2*v + 2*s*v*w + 2*v - 447*w wrt s.\nAnswer: -3621*s**2*w + 4*s*v + 2*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**3*z**3 + 15*n**3*z - 3131*n**2*z**4 - 2036*n**2*z + n*z**2 wrt z?\nAnswer: -24*n**3 - 75144*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -8*a - 9. Let b(x) = -5*x - 3 - 5 - 2*x + 6*x. Let h be b(5). Does 32 divide f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -870.5 - -870.44. Are g and -17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/28*(-1 + 5)\/2. Solve 4 + 10 = -y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961*f - 78 = 1935*f. Sort 2, f, -4 in descending order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -19. Let d = 7223 + -7215. What is the lowest common multiple of d and x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.55345t in kilograms?\nAnswer: 8553.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.1 - -1.1. Let k = f - -18. Suppose 6*g = -4*g + 4*g. What is the closest to g in k, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*w + 3*w + 2*o, 0 = -3*o - 9. Suppose 4*j + w*j + 4*k = 488, 4*k - 128 = -j. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 19*m**3\/3 + 5*m**2 + 12*m + 1. Is x(-4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 8*u**2 - 12*u + 3. Let q be p(-4). Which is the smallest value? (a) 1\/3 (b) 0.4 (c) -1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8471144 times -0.01\nAnswer: 84711.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 + 1) + 1. Suppose g = -0*m - 3*m + 15, -2*c - 3*m = -39. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llolldaedlzea. What is prob of picking 2 l, 1 e, and 1 d?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -14533*s - 14331. Let l(f) = 14424*f + 14331. Let b(m) = -5*i(m) - 4*l(m). Find the first derivative of b(p) wrt p.\nAnswer: 14969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 3)*(-16*x - 50*x + 11*x) as f*x + j and give f.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -315576358.\nAnswer: -946729074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53285.06 centuries in decades?\nAnswer: 532850.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = a + 6, 5*f = 3*a + 16. Let t be 1*(1 + a) + 7. Suppose 0 = 4*x + t + 6. What is the closest to 1\/3 in -1\/7, x, -2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 56. Suppose -3*n - d*s + 2728 = 0, -n + 1812 = n - 2*s. What are the prime factors of n?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 0.087, 2\/13, 2, 0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - (-1 + sqrt(2816) + sqrt(2816)))*-1.\nAnswer: -1 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 186 = -114. Solve -4*g + h*g = -3*d - 21, 10 = -5*g + d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 29. Suppose -u*q = -4*g + 25, 4*g - 13 = -4*q + 3. Suppose 3*z = g*b - 30, -2*b - 1 = b + 2*z. Solve 0 = n - 4*n + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*m. Suppose 60 = 4*c - m*c. Is -2*(-2)\/(-4) + c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 4)\/(0 + 1). Suppose 2*v + 0*l + 123 = -3*l, v - 4*l + 78 = m. Let c = v + 149. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*k - 77*k + 3*k**3 + 0*k**3 - 1 in the form w*k**3 + x + l*k + s*k**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**3*h**3 + 202*g**3 + 2*g**2*h**2 + 872*g*h**4 + 4*g*h**2 + 2*g*h wrt h?\nAnswer: 18*g**3 + 20928*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from rirrsrrsissrsrrrrsr.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1. List the prime factors of (-1)\/(j + 1\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from zzzzzzzzmmzzzzzmzz?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1633, -1626, -1615, -1600, -1581?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -25784 <= -25786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 3*l**2 - 2*l + 2. Let g be u(-2). Suppose -5 = 2*r + 6*t - t, 2 = -r - g*t. Suppose 4*q - q - 144 = r. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314304171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 9.11, -3\/1094.\nAnswer: -0.1, -3\/1094, 9.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34328 - -80251. Suppose 0 = 30*j - h - 3547. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*l + 58, 22 + 42 = o - l. Let y(x) = -x**2 - 16*x - 40. What is the remainder when o is divided by y(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1626*d - 1087500 = 5984*d - 110*d for d.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25161 (base 9) to base 13\nAnswer: -7903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12222320, -24444666, -36667012?\nAnswer: -48889358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 21455817 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -7*k - 9544. List the prime factors of k.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l - 4*l**2 + 5*l - 3*l**3 - 15*l**4 - 2*l**2 + 17*l**4 as y*l**2 + a*l**3 + i + f*l + b*l**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -74. Let c(r) be the second derivative of 1\/10*r**6 + y*r**5 + 0*r**3 + r + 0*r**4 + 0 + 3\/2*r**2. Differentiate c(x) wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -9. Let d be -1*4*3\/b. Solve 3*j = -d*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let t(a) = -3*a + 1. Let i be t(2). Let m(o) = -o**3 - 8*o**2 + 2*o + 17. Let b be m(-8). Sort w, b, i.\nAnswer: i, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 942013 + 36\/(32\/(-8)). Suppose 0 = -5*o + 7*d - 3*d + b, 942005 = 5*o - 5*d. What is o rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (3 - 0\/4). Let v be (-6 - m)\/(1 + 0). What is the smallest common multiple of ((-8)\/4)\/(v\/5) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08580185*-0.06.\nAnswer: -0.005148111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 2, o: 1, p: 1}. What is prob of picking 1 x, 1 p, and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14) + 12\/7. Let d(p) = -10*p**2 + 2*p + 1. Let o be d(-1). Let l(y) = 16*y**2 - 11. Let h(c) = 3*c**2 - 2. What is n*l(q) + o*h(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 - 4 + 7 + q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19473 - 10932. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t. Let h(x) = 8*x - 1. Let p(j) = -6*h(j) + 7*u(j). Let l be p(-3). Find the second derivative of 11*w + 18*w**4 - 18*w**4 + l*w**5 - 4*w wrt w.\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-405))\/(-1*(-2)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 358 = -2*y, 801*y + 45*f = 797*y + 49*f - 220 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 2472 = 432. Let a = -232 - j. Calculate the greatest common divisor of 30 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**3 - 91*g**2 - 2009*g wrt g.\nAnswer: -42*g - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50268, 4, -14, 0.\nAnswer: -14, 0, 4, 50268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000312 (base 4) in base 6?\nAnswer: 31114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2180)\/(-110)*((-807)\/(-54) - 15) - (-18)\/33?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from rprcprprcrrpcpcrp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*r + 8 = 0, 0 = -j - 5*r + 7. Let l = -4 - 0. Let i be l + (-2 - j) + 4. Solve 4*h = 2*q + i - 5, h = 5*q - 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xryqzzx. What is prob of picking 1 q and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 4:17 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1011001011 (base 2) to base 4\nAnswer: -23023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + a - 11759 = -957, -3*a = g - 3606. Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -1, -5, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13870 - -13892. Calculate the smallest common multiple of 2538 and s.\nAnswer: 27918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) 9 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and (-18 - 0)*(-14)\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11913300?\nAnswer: 2, 3, 5, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - d**2 + 7*d - 2. Suppose 10 = -3*n - 8. Let i be p(n). Suppose i = 4*t - 220. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n\/((n\/(n\/(((n*n*n**(20\/7))\/n)\/n)*n))\/n)) assuming n is positive.\nAnswer: n**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - 0.19. Which is the closest to -0.1? (a) u (b) 5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, 71, 281, 605, 1043, 1595?\n\"Answer: 57*k**2 - 75*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 + 267. Suppose -3*f - 22*f + 2825 = g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.386. Let l = h - 0.504. What is l rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21) + 40\/84 + 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 0*x**2 - 76\/3*x**3 + 3 + 4*x. Let p be o(-3). What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/((d**(-1\/8)*d)\/d))*d*d**(3\/11)\/d*d**(-10)*d*d**(-2\/33))**(12\/7) assuming d is positive.\nAnswer: d**(-2617\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540 and 105?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 23, 62, 127, 224, 359?\n\"Answer: a**3 + 4*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -37 - (8 - -13)) + -25 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, 1\/44, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 267\/5, -2\/11, 4, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -192, -0.224, 1, -4, -3\/4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-88)*-1 + (-71)\/((-54670)\/2550).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*k - k, 4*q = 2*k. Which is the nearest to 0.09? (a) 4 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/43? (a) -2 (b) 0.3 (c) 54 (d) 0.1 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2. Let j(x) = 2*x**2 - 2*x - 2. Let h be j(2). Suppose 0 = -0*l - h*l - 6. Let o be a(l). Solve 10 + o = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686867350 rounded to the nearest one hundred thousand?\nAnswer: -686900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 81*k = 37*k - 1016334. What are the prime factors of k?\nAnswer: 2, 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4519 - 4518.7. What is the closest to 2\/5 in 4\/7, -75, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15782 is divided by 112?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (2\/(-8) + 183\/12). Let z be (-1 - -96)*w\/10. Let j = 118 + z. Solve 20 = c + j*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371263093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76499 - 76466 = 3*c + 10*f, -5*c - 2*f = -11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.173 from 0.10379.\nAnswer: -0.06921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 7*f - 2*f, 2*f + 12 = 3*o. Suppose 4*r - 13 = b + 10, o = r + b. Calculate the highest common factor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24361.1 to the nearest 100.\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 174 = 2*g, -4*g - 724 - 202 = -5*m. What is the greatest common factor of 52 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 + 33*i**3 + 3*i**2. Let v(r) = -r**2 + 6*r. Let f(x) = -5*x**2 + 33*x. Let a(k) = 4*f(k) - 22*v(k). Give a(c(j)).\nAnswer: 2*j**2 - 792*j + 78408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 39*t**3 - 12*t + 27. Let o(z) = z**3 - 2 + 819*z**2 - 1639*z**2 - 4*z**3 + 820*z**2 + z. What is 2*g(k) + 27*o(k)?\nAnswer: -3*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125*z - 472*z - 224*z)*(2*z**2 - z**2 + 2*z**2 + (-3*z + 0*z + 5*z)*(-z + z - 3*z)) in the form q*z**3 + r + g*z + m*z**2 and give q.\nAnswer: 2463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -739661, -2958649, -6656963, -11834603, -18491569?\n\"Answer: -739663*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30a66de + 0?\nAnswer: -30a66de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 0*s**4 + 3*s**4 - 3*s**2 - 3 - 5*s**4 - 3*s**3 to the form t*s**4 + b*s**3 + q*s + c*s**2 + r and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5470238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 2 + 88 = 0. Which is smaller: s or 46\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 71. Calculate the remainder when (-42)\/(-5) + 12\/20 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 12*j**2 - 7552*j + 45101. Give r(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 33279 - 33279 - 2*w**2. Let r(h) = 7*h**2. Give s(r(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283096791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.231256 millilitres to litres.\nAnswer: 0.005231256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 4*p - 1. Let o be q(3). Let d(r) = -r**2 - 2*r - 1 - o*r - r. Give d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000489281 rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 4*r**2 - 6*r + 5. Let x be a(5). Suppose -3*u + 30 = -x*u. Let h = -166 + 188. What is the smallest common multiple of h and u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 - 17860*c**3 - 195570*c**2 + 1014660*c - 801225 = 0. Calculate c.\nAnswer: -3561, -15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/6709 or 1?\nAnswer: -60\/6709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 9*l**2 - 11*l - 10. Let w be k(-10). Suppose -9 = -3*o + 7*o + 3*g, w = -2*o - 3*g - 9. Solve o = 5*h - 5, h + 13 = -4*y + 6*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 minus 0.96?\nAnswer: -100.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 14*p**2 + 7*p - 2. Determine a(6).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 7. Let a be t(6). Suppose -a = -p + 1. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 2064886?\nAnswer: -2064883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154 (base 8) to base 4.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2083 + -2065 + (146\/(-12) - 3)\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 10. Let l(q) = -13*q - 28. What is -6*l(f) - 17*x(f)?\nAnswer: 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 35234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*84\/(-8). Suppose 5*n - 8 = v. Solve -3*b + 10 = 4*y - b, n*y - 7 = -b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -3\/49, -5, -5.6?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.548955t?\nAnswer: 548955000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524899584 divided by -3776256.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.57535 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6769795 + -1.57695151. Let l = -0.0860286 + u. Let f = 0.014 - l. What is f rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 2*p - 1. Let s be u(1). Let v be (2 - 3)*1\/s. Which is the biggest value? (a) -0.3 (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8186, -16331, -24492, -32669, -40862?\nAnswer: -49071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1.1 (b) -0.06 (c) -3 (d) 4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -48?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3935 - 1a8?\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 19440366?\nAnswer: 311045856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5500) + (sqrt(5500) - (sqrt(5500) - (sqrt(5500)*1 + sqrt(5500))*-3)))*4)\/((sqrt(77) + -5*1*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7)*5).\nAnswer: 20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -452 - -905\/2. Let x be (-7)\/(-4) + 0 + 0. Factor -u*v + x*v**2 + 0.\nAnswer: v*(7*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 11*r**2 - 28 + 9*r**2 + 47*r - 28*r**2.\nAnswer: -2*r**2 + 47*r - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 7 - 42. Let w(o) = o**3 + 7*o**2 - 2*o + 10. Does 12 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*i - 18. Let q be i - 3\/((-48)\/(-100)). What is the nearest to -1\/3 in 4\/3, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7428016049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 11*h + h + 5 = 0. Sort -2, 5, h, -14 in decreasing order.\nAnswer: 5, h, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*x - 4*x + 40, 2*t - x = 16. Suppose t*p - 2294 = -238. Round p to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -139*r + 102559 - 102559. Let o(c) = -7*c. What is d(o(j))?\nAnswer: 973*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/7 and (-1638)\/952 + -12 - -13.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20014177 + -360410129\/18. Let a = 8603 + n. What is the common denominator of -113\/18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 162. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 346*p + 521*p + 878*p as k + d*p and give d.\nAnswer: 1745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from ccgc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.039, 3, -0.16, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -450, 0.1.\nAnswer: -450, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13980 = 633*g + 27165 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 7, l: 5, i: 3, k: 1, n: 2}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 29. Let s = r - 14. Sort -0.2, 0.2, s.\nAnswer: s, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127696 is divided by 14114.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 123 and 97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (11 - (-4 + 12 - 3)) - 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/13)*g**(-4)*(g**2\/g)**(1\/5) assuming g is positive.\nAnswer: g**(-237\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/23)*k)**(1\/30)\/(k*k**4)**(28\/3) assuming k is positive.\nAnswer: k**(-2145\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-8))\/(6\/24). Let v be 5*4\/(-3 + -1). Sort p, 74, v.\nAnswer: v, p, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 9) in base 13?\nAnswer: 18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156086?\nAnswer: 2, 7, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.88? (a) -3 (b) 26 (c) 8436\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Is 2*8 + s\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**2 - 5*w - 1. Let x(f) = -4*f**2 - 5*f - 1. Let z(v) = -7*m(v) + 6*x(v). Let k be z(-7). Suppose -2*i = i - k. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6074014?\nAnswer: 2, 61, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*z + 4*s, -2*s + 2 - 1 = z. Determine w so that -2*w**2 + 64*w - 28*w**4 - 270*w**2 + 202*w**3 + 11*w**z - 37*w**3 = 0.\nAnswer: 0, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 > 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 36 + 20 = 0. Suppose -2*u = 2*y - r, 5*y - u - 19 = 15. Solve 0 = -4*x - 10 - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.262 + -0.062. Sort j, 1, -0.1.\nAnswer: -0.1, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15123 + -15085.52. Round c to 1 decimal place.\nAnswer: 37.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25*((4 - -1) + (-5 - -1)). Suppose z*m = 26*m - 8. Put 1, -0.1, 1\/2, m in descending order.\nAnswer: m, 1, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 40. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22159.\nAnswer: 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236 + -207. Let z = 19 - a. Let r(c) = 2*c + 6. Give r(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1075?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 3*n**4 + 2*n**4)*(0*n + 3*n - n + (-141 + 456 + 447)*(n + n + 0*n)) - n**5 + 0*n**2 + 0*n**2.\nAnswer: 4577*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1904 - 388 - 165 + 3708 + 4026)*(0*d**5 + 5*d**5 - 3*d**5).\nAnswer: 18170*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4162467, -4162464, -4162459, -4162452, -4162443, -4162432, -4162419?\n\"Answer: t**2 - 4162468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(2 + 1\/(-2)). Let y(d) = 6*d**q + 0*d**2 - 4*d**2. Let j(k) = 3*k. Give y(j(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -208 (base 11) to base 15\nAnswer: -11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 482 + -137493?\nAnswer: -137011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**6 + 23\/30*r**5 + 0*r + 0*r**3 + 0 + 0*r**4 - 22*r**2 + 23\/105*r**7. What is the third derivative of s(f) wrt f?\nAnswer: 1104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/(120\/270). Let y = -0.11 + -0.89. Let r be 15 + 0\/(5\/(15\/(-6))). Which is the fourth smallest value? (a) 0.2 (b) r (c) n (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -681.4766 * 4\nAnswer: -2725.9064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*b + 1)*(0*b**3 - 4*b**3 + b**3) - 2*b + 28*b**4 - 2*b**3 + 2*b in the form p*b**2 + m*b + c + y*b**3 + j*b**4 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 divided by 45?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*r**2 + 207*r**2 + 2*r + r - 12*r + 2*r.\nAnswer: 29*r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/100 - 3*j**4\/20 + 9*j**3\/10 - 12*j**2. Factor t(x).\nAnswer: 3*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 20*g - 21*g + 34*g.\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.449516 decades?\nAnswer: 53.94192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225750282?\nAnswer: 2, 7, 167, 613, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -2, 18, 44, 76?\n\"Answer: 3*q**2 + 5*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.4269 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u - 3. Let x(w) = -w**2 - 8*w + 4. Let a be x(-8). Suppose 1 = -a*g + 13. What is the remainder when 43 is divided by i(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7) + 5 + ((-2*sqrt(49))\/sqrt(7) + sqrt(7))**2.\nAnswer: -2*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 (base 10) in base 12?\nAnswer: -20b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4 + 8 + 4*g - 9 + g**3 + 6*g**2. Give l(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 384402768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 7:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m. Let q(r) be the first derivative of 17*r**2 + 1281. Determine p(q(i)).\nAnswer: 442*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574528 to the power of 1\/2, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s + 90 = 85*s. Suppose -5*y - 10 = 2*t, -5*y = -t + s - 5. Solve t = -10*v - 35 - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953642248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -308329903545.9.\nAnswer: -308329903545.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -7. Let a(j) be the second derivative of 0 - j - 1\/3*j**s - 1\/2*j**2 - 1\/6*j**4. Calculate a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 31787712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1334447 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69083 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**8\/448 - 79*d**7\/280 - 1053*d**6\/80 - 4901*d**5\/20 - 2197*d**4\/4 + 3*d**2 - 132. Factor h(m).\nAnswer: -3*m*(m + 1)*(m + 26)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 5 - 1. Solve -j*i + 3 = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6 + g + 2*g - g. Let r be o(5). Find the third derivative of 4*x**3 - x**2 + x**5 - r*x**3 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfutut. Give prob of picking 2 t.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 15 = -3*i - 13, -11956*r - 8 + 22 = -11*i - 11958*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -3283.8 and 4016766.3672.\nAnswer: 4013482.5672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c (base 16) to base 5.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*k*o**3*t + 39198*k*o**3 - 2*k*o*t - 322*o**3 - o**2*t + 26*o*t - t wrt k.\nAnswer: 16*o**3*t + 39198*o**3 - 2*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + 3*n**2 + 5*n**2)*(-5*n + 7 - 7)*(4 + 2*n - 4)*(3 - 6 + 2).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 40.99996. What is h rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 3. Calculate the smallest common multiple of 4 and t(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = b - 4*z - 15, -5*z = 2*b + 14. Suppose -2*k + b = -k. Determine v, given that -v**2 + v + 3*v**k + 4*v**2 + v**4 + 0*v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/(-5))*6\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.99 + 27.89. Let g = 24 - v. Which is the closest to 1? (a) g (b) 2\/13 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6945)\/(-1029249)*13\/((-260)\/24).\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*j - 30, -3*j - 6 + 30 = -l. Let k be ((-6)\/l)\/((-63)\/35). Let m be 1 + (4 - (-42)\/(-8)). Which is the smallest value? (a) m (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/10 - 933*y\/5 - 1864\/5.\nAnswer: -(y + 2)*(y + 1864)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 - 14*t + 14. Is x(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/153 and -47\/5202.\nAnswer: 5202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5296692176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26840 and 4730?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3\/2, -14, -1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 - 6*n + 5. Let s(r) = r**3 - 3*r**2 - 7*r + 6. Let y(q) = -4*l(q) + 3*s(q). Let c be (3 + -5)*6\/4. List the prime factors of y(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 84 = 29*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*b**4*y + b**4 + 10*b**2*y - 2*y wrt b.\nAnswer: -1896*b*y + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.9, 2\/9, 0.1 in ascending order.\nAnswer: -7.9, 0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -235*r**3 - 33099*r**2 + 3*r + 673478333.\nAnswer: -705*r**2 - 66198*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {j: 3, q: 4, x: 3, w: 1, l: 1, s: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(88) + (sqrt(88) - (sqrt(88)*1*-5 + sqrt(88))) - sqrt(88)*-2*1)\/(-6*-3*sqrt(128)))**2.\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/8 + 21219*o**2\/8 + 37509885*o\/8 - 37531107\/8 = 0 for o.\nAnswer: -3537, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*r - 161919*g**2*r**2 + 11*g*r**2 - 7*g - 2318*r wrt g?\nAnswer: 12*g*r - 323838*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 5350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 5, h: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -954 (base 15) in base 11?\nAnswer: -1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5843*n + 128566. Give k(22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, -3\/5, 1\/3, -14031\/14, -2\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*v**4 + 22*v + 104*v**4 + 7*v)*(-2 + 5 - 1)*(2 + 1 + 1).\nAnswer: 16*v**4 + 232*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*b*d*s**3 + 12*b*d*s - 75*b*s**3 - 213361*d*s**3 wrt b?\nAnswer: 11*d*s**3 + 12*d*s - 75*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4031421 + 2?\nAnswer: 4031423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(612) + (sqrt(612) - 4*sqrt(612)*-4) + sqrt(612))*-5*-2)**2.\nAnswer: 795355200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-6\/19)*j*j*j**(-2\/5) assuming j is positive.\nAnswer: j**(372\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*j - 4*n, -2*n - 4 = -0*n. Suppose 8*h - j = 89. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121\/2 - -59. Which is the closest to 1? (a) 8 (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -662 (b) 74\/11 (c) -52 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(1 + sqrt(2299)*2 + 0).\nAnswer: 5 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2982697, -2982692, -2982683, -2982670, -2982653, -2982632, -2982607?\n\"Answer: 2*o**2 - o - 2982698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-39)\/6 + 2)*56\/(-126))\/((-9879)\/(-534))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 times 94563?\nAnswer: 88700094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 4*a**2 - 7. Suppose -8 = -0*c + 2*c. Suppose -m = 5*n + 40, -3*n - 3*m - 3 = 33. Let d(i) = 2*i**3 - 2*i**2 + 4. Calculate c*u(r) + n*d(r).\nAnswer: 2*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.9 - 23. What is the smallest value in p, -8, -1\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548, -2070, -4612, -8168, -12732?\nAnswer: -18298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - (-5 + -16)) + (-2 + -7 - -60)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 276595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 1) + -2 - (-44 + 47)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -148626+-9773\nAnswer: -158399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2*2*(-1)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 6, m: 8, b: 3, n: 1}. What is prob of picking 1 n, 1 x, and 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 1703 = 4*h. Let g = h - 83. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1845585523 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156592756 a multiple of 1634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 570 = -z, 3*w - 4*z = -z + 420. Let u = -127 + 45. Let m = u + w. What is the highest common divisor of m and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -1485, -1489, -1493?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:01 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13452324?\nAnswer: 2, 3, 1121027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -5 - -4 - -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 30*v**4 + 0*v**4 + 5*v**4 + 4*v - 14*v as p + x*v + d*v**4 + l*v**2 + h*v**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994004099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 449.4 - 696. Let r = -247 - z. Put -3, -4, 15, r in descending order.\nAnswer: 15, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**5\/9 + 1196*i**4\/9 + 33764*i**3\/9 + 142852*i**2\/9 + 24344*i\/3 - 27872 = 0. Calculate i.\nAnswer: -268, -26, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*m - 4. Let t(q) = 956*q - 4733. Calculate the remainder when t(5) is divided by (6\/(-8))\/(m\/16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**6\/2 + 8*d**4 + 2*d**3 + 3*d**2\/2 - 160*d + 382. Find the second derivative of t(n) wrt n.\nAnswer: -60*n**3 + 192*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.551 + -6.9. Let y = 13.651 - w. Sort y, 0, -3\/2.\nAnswer: -3\/2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -640?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, 44, 3, 21, 6 in descending order.\nAnswer: 44, 21, 6, 3, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.2 (b) -0.5 (c) 7239 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -769 - -1217. Suppose 154 = -3*p + v. Let u be ((-12)\/14)\/((-28)\/p). Let x(b) = -3*b**2 - 3*b + 8. Let m(t) = -t**2 - t + 3. Calculate u*x(n) - 8*m(n).\nAnswer: -n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*v - 10 = -5*p, 3*v = 3*p + 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -27*h**2 - 22*h - 11. Let t(q) = -14*q**2 - 12*q - 6. Let y(s) = -6*i(s) + 11*t(s). Let v(d) = 7*d**2. Determine y(v(n)).\nAnswer: 392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 17*w + 89 - 134 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - f + 1210 = 0, y + 1527*f - 400 = 1526*f. What is the least common multiple of 10 and y?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwuw when four letters picked without replacement from kwujj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*h - 3*z, -3*h = z + 4*z - 41. Let x be (4\/(-6))\/((-22)\/(-33)). Let u = h + x. Solve -12 = -u*q + 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(144)*-6)\/sqrt(12).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9273459157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*s + 125*s + 540 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.288779 months in decades?\nAnswer: 0.035739825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*j = -5*j + 21, 2*x = -5*j - 3. Let q be ((-2)\/x*2)\/(3\/6). Suppose q*r = s + 4*r + 2, -s = -r - 4. Solve s*y - 1 = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0422 + 7.5778. Let x = u + 2.38. Put -1\/5, x, 5, 1 in increasing order.\nAnswer: -1\/5, 1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q = 41*q + 5*f + 1, -6 = -q - 4*f. Let n(p) = p**3 - p**2 + 11*p - 25. Give n(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -180*f + 121 - 2111 - 890 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2. Let k(r) = -83*r - 1. What is k(g(s))?\nAnswer: -581*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:50 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8568 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -18)\/(4 - 45\/12). Suppose 0 = -134*p + 132*p + m. Calculate the least common multiple of p and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Suppose -p*m = m - 30. Suppose -m*w + w + 8 = 0. Solve w*q = -q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/11? (a) 0.007 (b) -0.06 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 11. Let n = 29 + x. Solve n = -l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:14 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c**3 + 86*c**2 + 253*c + 568. Give n(-11).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 5*u - 3. What is the tens digit of h(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 divided by -23?\nAnswer: -519\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + ((-424)\/78)\/(-4). Let m be (225\/(-65))\/(15\/(-10)). Let r = p + m. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4096 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: Evaluate -7 + -10 + (48 - 43) - 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18931487 in 2, 3\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 429 - 827 + 0*s**2 + 398 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -3*g. Suppose 2*k - 3*q - 269 = g, 8*k - 533 = 4*k + 5*q. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*564\/(-3478) + (-1 - (-57)\/9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + -2*sqrt(242) + 3)**2 + (6*(-1*sqrt(242) + -2 - sqrt(242)))**2*-6.\nAnswer: -208980 - 19096*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 1053?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 23474*y + 23474*y + 9*y**3.\nAnswer: 9*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:42 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 5 (b) 4\/7 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-27)\/12*(-43)\/((-516)\/(-8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 0.055 (b) -0.4 (c) 31 (d) -3\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {k: 9, n: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 13 - (-263 - -254)) + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-800)\/(-84) - 18\/189)*1358 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -216760415, -433520827, -650281239, -867041651, -1083802063, -1300562475?\nAnswer: -1517322887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p**2 + 13*p - 7. Let j(w) = -10*w**2 + 6*w - 3. Let d(m) = -7*j(m) + 3*z(m). Let x(y) = y. Give d(x(k)).\nAnswer: 13*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d**2 - 207*d**2 + 69*d**2 + 46*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7958448 divided by -1989612.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.008, 0.3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 57?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97431 is divided by 449.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = s + 3*q, -5*q + 4 = -16. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-90)*(-12)\/32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 0*n**4 + 7*n + 46 + 1\/3*n**3 - 58\/5*n**5 + 0*n**2. Find the third derivative of v(b) wrt b.\nAnswer: -1392*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 41*d**2 - 1. Let q be r(1). Suppose -4*v = -3*a - q, -4*v - 2*a + 40 = -3*a. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828*u - 830*u = -3*h + 313, -4*h - 4*u + 364 = 0. What is the lowest common multiple of 1111 and h?\nAnswer: 9999","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -6) + 0 - (5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/60 - 7*c**4\/24 + 7*c**3\/3 - 61*c**2 + 4. What is l(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*u - 7752 = 359*u for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**4*y))**(-2\/145))**(-1\/5) assuming y is positive.\nAnswer: y**(-8\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10891*c - 2193*c + 32057*c to the form n*c + u and give n.\nAnswer: 40755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/6)\/(2\/(-3)). Let m(f) = 2*f + 42. Let d be m(-19). Suppose -3*r - y*j = -29, -d*j + 28 = 4*r - r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c*c*(c\/(c*c\/c**(-12)*c*c))\/c)\/c)\/c)\/(c*(c**(-1\/16)*c)\/c*c)*(c*c**(-31))\/c**(-32))**(5\/4) assuming c is positive.\nAnswer: c**(-1195\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11340521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5935.\nAnswer: -5936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 28681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**3 + k. Let z = -76 + 76. Let r(x) = -x**2 - 3*x + 1. Let l be r(z). Calculate the remainder when d(l) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/(g*g*g**(-1\/7)))**(-30)\/((g\/g**(-2))**(-22)*g*g*g**5*g*(g**(-1\/3)*g)\/g) assuming g is positive.\nAnswer: g**(2290\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 5, -20, -75, -172, -323, -540?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from yyhyyyuhuyhw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427095.\nAnswer: 3, 5, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 14*b**2 - 13*b - 2. Let h be d(-13). Let r be -1 + (3\/6)\/((-2)\/(-4)). Is h >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42351.681688 - -42352. Let t = 0.318 - v. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6130*h + 99751 - 99751)*(-4*h + 2*h + 4*h).\nAnswer: -12260*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6004 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5\/21 + 74*p**4 + 1474310*p**3\/21 - 4432234*p**2\/21 + 1478444*p\/7 - 211280\/3 = 0.\nAnswer: -556, 1, 1330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 1 k when three letters picked without replacement from hkacl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -78, -4, 9, 297 in increasing order.\nAnswer: -78, -4, 1, 3, 9, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-8)*(-30)\/(-45)*3*-2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1584) - (1*sqrt(1584) + -5)) + 3 + 5*3*(sqrt(1584) - (-5 + sqrt(1584) + -1)))**2.\nAnswer: 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c463b (base 15) in base 6?\nAnswer: 423454045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 534173 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -914, -1985, -3214, -4601, -6146?\n\"Answer: -79*f**2 - 834*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*u = 206*u - 103*u - 14 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c632 (base 16) in base 5?\nAnswer: -3110423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 4*h - 4, 0 = 4*h - 5*j + 4. Let k = h - 4. Let w be (-2)\/k + 245\/25. Solve 0 = -2*p - 3*p + w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - 6\/(-3)) + 66?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26)\/(-4))\/(5\/(-10)). Let d = a + 7. Let b(v) = -138333*v + 2. Let n be b(d). Round n to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/201 + 271\/603. Let g = -6.5 - -6.35. Let u = -3.85 + g. Which is the biggest value? (a) u (b) m (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26691423 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r - 4. Let z(x) = -793*x - 143. Determine 143*k(n) - 4*z(n).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 6:48 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2878809, 2878805, 2878799, 2878791?\nAnswer: 2878781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l**2 + 5*l + 3. Let z be v(-3). Let j be 27\/12 - (1 + 28\/(-16)). What is the units digit of j\/(z\/36*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*h + 142 = 158, -h - 18 = -4*n. Let z(i) = i**3 - 6*i**2 + 7*i - 10. Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4352, 8762, 13230, 17756, 22340, 26982?\n\"Answer: 29*v**2 + 4323*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.54822 * -535.\nAnswer: -293.2977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x - 1)*(51 - 123 + 5 + (-3 - 1 + 2)*(5 - 6 + 5)) + 6*x - 2*x - 2*x.\nAnswer: 77*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a kilogram in grams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 2287*d**3\/6 - 9*d**2\/2 + 2*d. Let h be (-26)\/(-4) - (-2)\/4. Let x be r(h). What is x rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 239*l**2 - 11*l - 1. Suppose -5*z + 4*n + 33 + 12 = 0, z + n = 0. Is g(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55794 = -8*t - 17810. What are the prime factors of t?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 911 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*20\/8 - 656\/(-123)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 + 1. Let b(k) = k**2 - 2*k - 97. Let d be b(11). Suppose 0 = -2*q - 5*g + 10, d*g = 13*q - 16*q - 7. What is v(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208795943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/60 + d**3\/6 + 18*d**2. Let x(w) = 5*w**2 - 2*w - 2. Let m be (1 - 9)*1\/(-2). What is m*g(t) + x(t)?\nAnswer: t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.3427ml?\nAnswer: 0.0953427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4679 or 5003?\nAnswer: 4679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 - 10*m + 4. What is the smallest common multiple of 20 and l(4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222002212 + -12?\nAnswer: 222002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 1\/7, -1, 318836?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 6 (b) 8\/9 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-2)*(-8)\/(-5). Solve c*f - 5 = -w, -5*w - 13 = -3*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9}. Give prob of sequence nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 10:30 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-48)\/20. Let l(x) = -x**v - 4*x - x - 2 + 0 + 4*x. Let q(y) = y**2 + y + 1. Determine -3*l(w) - 4*q(w).\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/23, 0.05, -0.0221?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506307476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 0*d - 3*d + 18, -4*k + 2*d = -30. Solve 4 = 4*u - 4*n, -u + 6*n = 2*n - k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 624 = 4*v, 2*v - f = -5*f - 306. Let x = -44 - v. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11333.8 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 150800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -96997.\nAnswer: -96996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 324225195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5852493692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*s + 1718 + 3272 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5091366581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/37))**(-2\/69) assuming k is positive.\nAnswer: k**(-4\/2553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - 7) + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/3 - y. Let t(b) be the third derivative of 0 + 0*b + 0*b**3 - 1\/10*b**5 + 5*b**2 + 0*b**4. What is t(d(x))?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 1, u: 3, t: 3, o: 1}. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h*h**(-1\/3)*h**(-1)\/((h\/(h**(-1\/4)\/h))\/h))**(-15) assuming h is positive.\nAnswer: h**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*t + 173 = 0, 44 = 2*w + 3*t - 21. Suppose -5 = -5*h, 3*h - w = -5*u + 6*h. Suppose -2*j = 2 - u. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and 4950080?\nAnswer: 262354240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 e when three letters picked without replacement from {i: 1, e: 6, k: 2, j: 1, t: 9}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 + 18 = 0. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 33*x = -201, 8*c - 3*c - 31 - 51 = x - 124 + 41 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/378*-91 + 1\/(-6). Sort o, 11, -5, -4, 3.\nAnswer: -5, -4, o, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4637*w + 4853*w + 3 + 4637*w to the form d + k*w and give k.\nAnswer: 4853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-21 + -5) - 19.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {c: 2, f: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7*h - 8 = 0, h = -2*l - 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:56 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111100010011110 - 1010?\nAnswer: -10001111100010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 45. Let h(j) = j. Give h(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 5*p + 1023 = 0, -522 = -w + p. What is the remainder when w is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 16*l + 6. Let f be z(10). Which is smaller: -166\/3 or f?\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 5*k + 18.\nAnswer: -(k - 3)*(k + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 40, 43?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)*u**(-11))**(-7\/4) assuming u is positive.\nAnswer: u**(189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 185743 (c) 4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 = -3. Suppose -4*k = -5*t + x, -k = 2*t + 3*t - 16. Let p(z) = -z**3 + 5*z**2 + 4*z. Let o be p(5). Solve -q = t*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five quarters of a century?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - q - 3*q - 5, q = -2*r. Which is the second biggest value? (a) -1 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 494135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1482665 and 380?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/10 - -2 - (-105)\/525?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130390573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 2 - 3*o - 4)*(-16*o - 16*o - 28*o) to the form u + h*o + w*o**2 and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1696*x + 515*x + 1352*x + 2168*x - 874*x to o + c*x and give c.\nAnswer: 4857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 403 + 312 = 0. Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 12:06 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s\/((s\/(s*s**(1\/14)))\/s)*s))*s)\/(s\/(s**(-2\/41)*s)))\/(s**(-2\/33)*s**4) assuming s is positive.\nAnswer: s**(20519\/18942)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -5 (c) 2 (d) 12 (e) 1\/2 (f) -1507\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -298573380, -298573379, -298573378, -298573377, -298573376?\n\"Answer: l - 298573381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.01, -4, -662?\nAnswer: -662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c - 2 - 2 + 4 as d + j*c and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 405\/10 + 1\/(-2). Suppose -i + 4*s = 4*i - 29, -n = -4*i - s. Suppose 0*q + 5*q - 45 = 0. What is the greatest common factor of i and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 3 (c) 2 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**3 + 2*y**2 + 2. Let z(n) = n**2 + 2*n - 5. Let s be z(-4). Let q(r) = 1867 + r - 3723 + 3*r**2 + 1859 + 0*r + 4*r**3. Give s*k(l) - 2*q(l).\nAnswer: 4*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*s*z**6 - 4065*s*z**3 - 2*s*z - 2*s - 52*z**4 - 7*z**2 - 11*z - 135648 wrt z?\nAnswer: 2400*s*z**3 - 24390*s - 1248*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-4\/39))**(1\/12)*((n**(-1))**(4\/13))**43 assuming n is positive.\nAnswer: n**(-1550\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(3888) + -2 + -1 - (sqrt(3888)*2 + 2 + sqrt(3888) + -4 + 2*sqrt(3888) + -3))**2.\nAnswer: -864*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1\/9 (b) -201 (c) -7 (d) -2 (e) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4354 >= -4356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479031 and 2478?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 3}. Give prob of sequence bjbj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/4*48\/(-40). Solve -5*v = -20, 4*v = 2*c + x + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*g + 252*g + 250*g - 846 = 0. Suppose 5*r - 606 = 319. What is the remainder when r is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 229*y - 8263. Give p(-45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:48 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234*n - 251*n + 484*n - 448)*(n**4 + 0*n**4 + n**4).\nAnswer: -2*n**5 - 896*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-15) - (33\/(-6) + 4\/(-8)). Solve -4*x + 3*x - 20 = 5*i, 2*x - 35 = k*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 0. Suppose -5*a - 2*a + 21 = w. Let y(u) = 6*u - 1. Let k be y(1). Sort k, a, 1.\nAnswer: 1, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -283267377*c**2 - 110754492.\nAnswer: -566534754*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2072023 by 2.\nAnswer: 2072023\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 1226 = 4*n - 3*k, n - 5*k = 255. What is the greatest common divisor of n and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 165*m - 83*m = -5808 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 1133*g + 62341. Determine n(-58).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 4*z**2 - 3*z + 1. Suppose -5*v = -3 - 102. Suppose -9*k + v*k - 60 = 0. Let y be d(k). What is the highest common factor of y and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 431390 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:27 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-5)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3 - 11. Let g = -20.6 + 20.2. What is the fourth biggest value in 0, w, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 18. Suppose 2*i + 5*b - 3*b = -14, 3 = -i - 2*b. Let o be q(i). Solve -s + 3*s = 2*d, 0 = -5*s + o*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000272893279 to 7 dps.\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from {c: 3, t: 7, k: 3, i: 1, h: 4}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/26)\/(-6 - -2 - 116*5\/(-160)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/5))\/t*t**(-1\/2)\/t)\/(t**(-2\/3)\/(t\/(t**5*t))) assuming t is positive.\nAnswer: t**(-181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z + 1\/2*z**2 + 1\/2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-87)\/(-10))*3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from yryyyyryyyryyyryyy?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 237, 486, 751, 1038?\n\"Answer: q**3 - q**2 + 235*q - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(4\/(-7)*1). Let g = o - 11. Let y = 240.2 - 240. Which is the third biggest value? (a) g (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by -5.\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1379 + -27\nAnswer: -26.8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 39 = -3*g, y + 138*g = 556 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/108 and 37\/15.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 315796 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 2, u: 1, f: 1, e: 1, h: 2}. What is prob of picking 1 p, 2 h, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 13*l**2 + l + 20. Let v be r(13). Let x(c) = -3346*c + 3298*c + v + 7. Let m(n) = n - 1. Determine 40*m(j) + x(j).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 14 = -7*z. Suppose 3*o + 4*d = 181, -5*d - 90 = -z*o + 46. Calculate the remainder when o is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.019 and 0.157.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3881*m**2 - 4*m**2 - 7*m - m. Let n be o(4). What is n rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/4)\/(-5 + (-116)\/(-24)). Let m = i + -6. Suppose -4*a - 2*g = -328, -4*a - 5*g - 233 = -7*a. What is the remainder when a is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1267 is divided by 214.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6507512171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99 and 153.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from jddcjcbx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124, -181, -220, -235, -220, -169, -76?\n\"Answer: u**3 + 3*u**2 - 73*u - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -349. Let k = -167 - j. What is the remainder when 104 is divided by k?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - o**2 + 2*o - 3. Let s be h(2). Suppose 20 = 2*k + 4*p, -p = s*k + p - 42. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 10*z**2 - 202*z - 713. What is the units digit of v(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.71 and -807126.\nAnswer: -807132.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -247348 divided by 810?\nAnswer: -123674\/405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 31\/2 of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x - 3. Let b(z) be the second derivative of -5*z**3\/6 - 2*z**2 + 3*z. Let g(v) = -5*b(v) + 6*f(v). Does 4 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 4*w**6\/15 - 11*w**5\/10 + 5*w**4\/6 + 2*w**3\/3 + 3*w. Let n(v) = 0. What is v?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 6:37 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/132 and -65\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21497 + -21484.463. Let t = s + 0.063. What is t rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893.3744km to centimeters.\nAnswer: 89337440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*q + 4. Suppose 3816 - 29004 = -q*a. Suppose 5*u + 3*n + 0*n + 42012 = 0, -n = -u - a. Round u to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7810.5906ms to hours.\nAnswer: 0.0021696085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w**3 + 0*w**2 - 167*w**3 + 0*w**2.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4)*(-56)\/(-21))\/(-6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 - 1 - 2*p**2 + 0*p**2 + (10*p - 8*p + 9*p)*(30 + 24 - 53 - 9*p + (-3*p + 2*p - 3*p)*(-3 + 1 + 0)).\nAnswer: -12*p**2 + 11*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -63. Suppose -2*i = 2*b - 12, -w*i + 18 = -3*i - 2*b. Let f(z) = -6*z**3 - 5*z**3 - z**3 + i + z + 13*z**3. Give f(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 - 8*p**2 - 2*p + 3. Let x(j) = -7*j**3 - 16*j**2 - 5*j + 6. Let t(d) = 5*u(d) - 2*x(d). What is the least common multiple of 5 and t(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*n**3 - 10*n**3 - n**4)*((2 + 1 - 2)*(3 + n - 3) - 2*n + 4*n + n).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a week in hours?\nAnswer: 4284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 4 - 4\/2. Let b = 12 + o. Solve -k - 2*k = b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684036349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22399042 to the nearest integer?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 + 31 = 0. Let y = -26 - k. Solve -3*u + y = -3*r, -2*u + 12 = -4*r + u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 2\/13 (b) -2 (c) -9 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 31*p - 378. What is the units digit of u(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -2)\/42 - 133\/(-6). Suppose -n + u + 4 = -15, q = 2*n + 2*u. Let w = n + -4. Calculate the greatest common divisor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 5. Give y(13).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 6:20 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*p + p. Let z = p - -40. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5292 divided by 126.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7 and ((38 - -85)\/(0 - 3))\/(-1533).\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 724, 4750, 15678, 36958, 72040, 124374, 197410?\nAnswer: 294598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 1286, 3022, 5450, 8570, 12382, 16886?\nAnswer: 22082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let w(m) = 87*m**2. Calculate j(w(o)).\nAnswer: -174*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(7*d + 8*d + 7*d)*(2 - 5 + 2).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -707*g + 4554. Let b be d(7). Is -392 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -33, -2, -252, 75 in decreasing order.\nAnswer: 75, 1, -2, -33, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 - -5 - (4 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((-6)\/(-27) + (-16)\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176818238 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/47 + -104\/329. Which is the second biggest value? (a) -4 (b) y (c) -1\/14 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21166 + 10749 + o**2 + 10721.\nAnswer: o**2 + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 400 - 247. Calculate the remainder when h is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from {v: 2, p: 4, s: 1, y: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 + 49*x - 12. Let b be o(-9). Let a(p) = p**3 - 4*p**2 - 22*p + 10. Let v be a(7). Sort -5, v, b in decreasing order.\nAnswer: v, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 6*h**2 - 15*h + 8. Give n(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/120 + 2*a**5\/15 - a**4\/6 - 3*a**3\/2 + 3*a**2. What is the remainder when 34 is divided by b(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 3*g - 3, -2*g - 6 = -54*a + 56*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79338353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 - 291*m**2 + m + 157. What is the least common multiple of i(-97) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 5*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s - 9. Let w be c(-12). Let b be 2\/(-6) + 87\/w. Is b at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -360, -728, -1160, -1608, -2024?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-12)*9\/6. Let h(r) = r**3 - 3*r**2 - 4*r - 1. Let u be h(4). Let k = 2.4 + 0.6. What is the third biggest value in k, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 12 = 0, -77 = -4*o + 2*f - 45 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/8 + -7)*-11. Calculate the greatest common factor of o and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88113 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123091, -246286, -369481, -492676?\n\"Answer: -123195*b + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1796 and 82.\nAnswer: 73636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4) - -2) + (-11)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942234549.\nAnswer: 3, 314078183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/4 and -419 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 115 = 39885. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1315*f - 1173 wrt f.\nAnswer: -1315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.0358759?\nAnswer: -0.0358759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 265, -109, -741, -1631, -2779, -4185?\nAnswer: -5849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 f when three letters picked without replacement from {l: 1, c: 3, m: 6, n: 5, f: 2, p: 2}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 2493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1 - (1 + -1)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.783277 - -526.783464. Let t = -513 + v. What is t rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j - 2. Let u(d) = d**2 + 3*d. Let l(g) = -3*g**2 - 8*g. Let m(c) = -3*l(c) - 8*u(c). What is t(m(p))?\nAnswer: -15*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17057665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btteeveteeevge. What is prob of sequence bg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeehh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 18 = -30. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 8*a**2 - 8*a - 6. Let k be i(-7). Let m = 618 + -756. List the prime factors of 1\/(-2*k\/m).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 497*p**2 + 21*p - 7. Let l be k(-2). What is the greatest common divisor of 831 and l?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -5, 54 in decreasing order.\nAnswer: 54, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 269701940 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 - 5*b - 9. Let f(z) = z**3 + 5*z**2 + 3*z + 3. Let n be f(-4). Let q be y(n). Solve -4*w - 18 = -3*c, -q*w + 0*w + 3*c = 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264*y**3 + 4076*y**2 - 3192*y - 467 wrt y.\nAnswer: -1584*y + 8152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 10*c**2 - 4*c - 6. Let u = 94 - 11. Let h = 124 - u. What is the remainder when h is divided by z(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (15 + -10 - (-1 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*i, 0*j = -11*j + 4*i - 9*i + 9 - 46 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 24*y - 1. Let h(l) = -l**3 + 9*l**2 - 6*l - 9. Let g be h(8). Suppose -d - g*j + 5 = -3*j, j = d. Does 10 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4253 = 4*m + 3*m + 4316 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 4*i**2 + 18*i + 1. Is y(24) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -3\/67452947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmwm when four letters picked without replacement from {m: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-133)\/(-42)*(1 - -1). Let v = -7 + n. Which is bigger: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 4)*(4 - 1 - 1 + (3 - 1 - 1)*(-1 + 0 - 2) + 1 + 1 + 1)*(0*q - 2*q**4 + 0*q).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -25. What is the lowest common multiple of 551\/58 + (-3)\/(-2) and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 29, 2, 5, 969 in descending order.\nAnswer: 969, 29, 5, 4, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 - 2) + 1)*4. Suppose 7*t - 15 = 2*t. Let g be ((-78)\/(-4) - t)\/((-33)\/(-176)). Calculate the greatest common divisor of g and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1102 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*r - 4*i, 3*r + 20 = 4*i - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 24 (c) -0.3 (d) -2\/783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 879657852717.9999999432 - 879657852260. Let k = 458 - w. What is k rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4857, -10623, -18177, -28413, -42225, -60507, -84153, -114057?\nAnswer: -151113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-14))\/(18*9\/(-216)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 788360320 and -0.154.\nAnswer: 788360319.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.5895 - -0.1795. Let m = -34.91 + 34.5. Let a = r - m. Which is smaller: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2157, 4622, 7087?\nAnswer: 9552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1794, -3705, -5616?\n\"Answer: -1911*b + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 7*u + 8. Let g be x(-6). Let s**3 + s**2 - 2*s**3 + s**g + 2*s**3 = 0. What is s?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565193569 to the power of 1\/4, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5918\/7 + 16\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -20 + -11*291393\/(-99)?\nAnswer: 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494555767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149923 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 2*t**2 + 116*t**4 - 4*t - 2*t**3 + 121*t**4 + 206 - 207 to the form u + d*t + a*t**3 + y*t**4 + r*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.5 (c) 3\/8 (d) -3459 (e) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 15*u + 1290. List the prime factors of 88\/33*u\/4.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.2, -3, 2.1, 9\/4, -4\/9, -0.4, 26?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 6. Let z(c) = 4*c + 13 - 4*c + 11*c. Suppose -3*j - 12 = 2*i, 4*j + 0*j = 0. Determine i*z(y) - 13*w(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = m + 6, 1 = 2*a + m - 3. Suppose 2*p - 16 = x, a*x + 13 = p - 1. Let q(d) = d**3 - 6*d**2 + 2. Let i be q(p). Solve -2*c + i = -0*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 42. Let j be (3 + (-75)\/(-5))*i\/66. Is 0.2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, x: 2, h: 4}. What is prob of sequence pxx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -969 - -969. Solve -3*m = o - 16, i = o - 3 - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 117822325.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 12. Let a be (20\/(-6))\/(y\/(-264)). Suppose 3*j - 37 + 211 = 5*c, 0 = -2*c - 4*j + a. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2424550 (base 6) to base 2.\nAnswer: -11111010001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 44. Suppose 3*g = 2*t + 250, 4*g - 22 - 323 = i*t. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkb when three letters picked without replacement from {v: 2, k: 6, z: 3, u: 2, d: 1, b: 5}?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5585, 5594, 5617, 5660, 5729, 5830, 5969?\nAnswer: 6152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 29 = -3*y - 5*x, -x + 16 = 9*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 48*l - 35. What is m(13)?\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1214.77 + 1185. Let q = -8.13 + o. Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -24. Solve -2*q = 5*v + 7, 8 + 3 = h*q + 3*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3 = s + 3*i, -5*s - i = 17. Let f be (-7)\/s*(-2 - 1). Let p = f + 19. Calculate the remainder when 22 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*(-3)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a, -a = 5*n - 0*a + 1. Do 1\/130 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + sqrt(68) + 2*sqrt(68))*4*-2)\/((sqrt(4) - sqrt(144)*-3) + sqrt(4) + (sqrt(4) - sqrt(24)\/sqrt(6))*-2) + 3.\nAnswer: 3 + 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*v**3 + 171*v**2 + 20*v**2 + 32*v**2 + 137*v**3.\nAnswer: v**3 + 223*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/2 + 24489*n**2\/2 + 682164*n + 9533832.\nAnswer: 3*(n + 28)**2*(n + 8107)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 0.2 (b) 1\/8 (c) -70 (d) -479 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 150 + -597\/4. Let t = 6.1 + -6.1. Which is the nearest to -1\/4? (a) t (b) k (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77586915 to the nearest one million.\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*o + 12465 + 74925 = 202*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/76?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10047 times 4643.4\nAnswer: -46652239.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.9 + 8.9. Let a = l + 35.8. Let w = 0.1999928 + a. What is w rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*s**2 - 58*f**3 + 6*f**2*s**3 + 2*f**2*s + 14*f*s - 8*s**2 wrt s.\nAnswer: -2*f**3 + 36*f**2*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 85, 3, 1, -4, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 53. Let y = -45 - -69. What is the highest common divisor of t and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 17144218?\nAnswer: -17144215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n + 2 = 0. Let k = 73 + -69. Suppose n*z = k*g - 19 - 15, 4*z - 2 = -2*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1615*n - 1 + 3150*n - 6 + 2 - 2071*n to b + d*n and give d.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 227988047 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r + 10. Suppose 0*o - 57 = -3*o. What is the remainder when t(5) is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0\/1 - -140) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18570*t**2 - 12680*t wrt t.\nAnswer: 37140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 4*x - 18 = 5*u, -5*x + 29 = -4*u. Let q = 9.8 + -10. What is the closest to q in 0.1, u, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 66*d + 336 = 0 for d.\nAnswer: -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**3\/3 - 19. Let h(j) = -j - 5. Let i(g) = -4*g - 16. Let d(f) = -16*h(f) + 5*i(f). Determine k(d(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*b - 15, -4*r + 2988*b - 2991*b = -21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 5:14 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2881575?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(88) + sqrt(22))\/sqrt(2)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10362*r - 590705. Calculate t(57).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/7*t**2 + 2\/7*t**3 + 6\/7*t - 2\/7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -y + 5*r - r, 3*r = 9. Calculate the remainder when y is divided by (-13)\/2*(2 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839381 is divided by 232.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 941079 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1656, 1660, 1664, 1668, 1672?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. What is the second derivative of 14*s + 7*s**k - 6*s**2 + 2*s**2 + 6*s**2 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 202*x - 206*x - 86676 = 0, -2*n + 43332 = x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n + 3*y, -3*n = -2*y - 0 - 21. Let v be -1*10\/n + 1. Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*o + 5*o**2 + 42*o + 2*o**4 + 3 - 22*o to n*o**2 + p*o**3 + a + i*o**4 + g*o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 628446\/3065 or 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -9*i + 260. Round i to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 7:28 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 297 - 292 - (7 - 5 - (4 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1370, 724, -346, -1834, -3734, -6040, -8746, -11846?\nAnswer: -15334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/8 + -73\/40. What is the nearest to -2 in z, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -156*m**2 - 32146*m - 2060. Determine u(-206).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*f - 65*f - 4 = -s, 0 = -2*s + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lurl when four letters picked without replacement from jlbjbrrjljjurbbb?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t = 731 + 153, -t = -3*a + 665. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, 5, -56, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 7*x - 12*x + 20, x - 2*r = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88192407649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -948\/65 and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j + 3. Let o be p(-5). Put 2, -8, -3, o in decreasing order.\nAnswer: 2, o, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(77)*-3*-1)\/((-4*sqrt(35)\/sqrt(5) - 5*-1*sqrt(7))*-4).\nAnswer: 27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10694524)\/(-12) - -1)\/((-4)\/66). Let i = k - -9404987. What is i rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**9\/15120 + g**6\/240 - g**4\/4 - g. Let d(l) be the third derivative of y(l). Find the second derivative of d(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3898, 7798, 11698, 15598?\n\"Answer: 3900*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(4 + -2*(sqrt(272) + sqrt(272) + 3 + 0)**2 + 5)*3.\nAnswer: 864*sqrt(17) + 19670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 412 (b) 0.09 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -423 = -13*g + 513. Let c = g - -267. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32596 - 26705. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**1*v))**(-27))**(-2\/7) assuming v is positive.\nAnswer: v**(-108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 + 230\/(-26) - 1610\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 90 - 378687?\nAnswer: -378597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.5. Let j = 88402\/85 + -1040. Let d = 144\/1105 + j. Which is the nearest to 0? (a) v (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmggpbgmpmp. Give prob of picking 2 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -0 - 30 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -17e?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 45249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 - 22*j**2 - 62*j**2.\nAnswer: -111*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681316299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 smaller than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33814.\nAnswer: 2, 11, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 28 + 3. Let s(p) = p - 5. Let j(h) = 3*h - 18. Let x(b) = c*j(b) - 18*s(b). Let r(a) = -a**2 + 5*a**2 - 3*a**2. Give r(x(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 140914 and 140938 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123.2053805 - 120.65526. Let x = d - 2.55. Round x to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91 * 6.16\nAnswer: 560.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1211\/326363?\nAnswer: -1211\/326363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 246 - 378 = 0. Let z = s - 8529\/41. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 26779.\nAnswer: 26780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(112)*-2 + 3 - 1*(sqrt(112) - (sqrt(112) + -3))) + 2)**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 202*g + 2120. What is z(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88487513311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18143 is divided by 701.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 139\/1543?\nAnswer: 139\/1543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 107*r**4\/24 - 128*r**2. Let u(c) = c**2. Calculate n(u(w)).\nAnswer: 107*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -42. Let o = 57 - z. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-1610)\/184?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -811*d - 774*d - 286*d + 286*d.\nAnswer: -1585*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*u + 11 - 3, -4*k - 16 = -4*u. Suppose k - 2 = -g. Factor 2\/3*n**g + 0 + 1\/3*n**3 - n.\nAnswer: n*(n - 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83420522 a multiple of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, k: 2, e: 1, a: 3, b: 4}. What is prob of picking 1 w and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -13624 in descending order.\nAnswer: 5, 1, -13624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 29*k**2 + 32*k - 57. Give l(-30).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 42 - 3 = 35*n - 17*g + 13*g, 3*n + 8*g = -9*g - 190 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - (41 - -18)) + 30?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383719979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 3*f - 3*k + 1, -1678*k + 1681*k = 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-13))\/((-9)\/(-30)*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-10)\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 802146.9 hours?\nAnswer: 33422.7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-6)\/6)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 1. Let p be i(4). Let c(z) be the first derivative of -2*z**2 + 21*z - 58. Let n be c(p). Which is smaller: n or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*a = 1198 - 1195, 0 = -3*k + 3*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292289, 292286, 292267, 292220, 292133?\nAnswer: 291994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -12465*k + 62336. Give l(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9831939 and -0.09.\nAnswer: -884874.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.088433222\nAnswer: 0.353732888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4834*i - 19129*i + 5805*i + i**3)*(-3 - 6 + 3) as g*i**2 + h*i**3 + k + m*i and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 23*v + 841. Determine q(-37).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1353 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - c**3 + 0*c**3 + 2*c**2)*(24 + 23 - 59).\nAnswer: 12*c**3 - 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.1, 4, 0.107, 0.9, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.413 and 1.\nAnswer: 4.413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -576039+2905613\nAnswer: 2329574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -357579749064 and -0.4.\nAnswer: -357579749064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 + 862\/3. Let l be 2\/8 + (-26)\/8. Let m = l - h. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705\/44 - 168\/11. Factor -3\/8 - i*s - 3\/8*s**2.\nAnswer: -3*(s + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 1087 + 1149 = 0. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -125, -407, -957, -1865, -3221?\n\"Answer: -15*o**3 + o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152800067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2722, 3938, 5156, 6376, 7598, 8822?\n\"Answer: b**2 + 1213*b + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 83*g**2\/2 - 196*g - 54. What is the derivative of z(b) wrt b?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 12 - 5)*(-m - 10*m**3 + 10*m**3 + 5*m**4).\nAnswer: -145*m**4 + 29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 479*q**2 + 2 - 483*q**2 - q + 0 + 960*q**2 + 3*q**4 + 8*q**3 in the form p*q + k*q**2 + i*q**4 + y*q**3 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 0.12, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9287053.\nAnswer: 9287053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g - 4. Let h be -4*(-2)\/(-8)*-2. Let r(z) = 3*z**2 - 4*z - 9. Let f(b) = h*r(b) - 5*c(b). What is the units digit of f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + f - 3*f + 35 + (0 - 4 + 0)*(-5*f + 10*f + f) as j + z*f and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) -2\/3 (c) -0.2 (d) 2\/15 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 828359, 1656726, 2485105, 3313496, 4141899, 4970314, 5798741?\n\"Answer: 6*u**2 + 828349*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, q: 2, p: 1}. What is prob of sequence qp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1371 - -1514. What is the remainder when r is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 88\/2332 + 136746\/(-159). Which is bigger: -864 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 83*p + 1492. Let o be s(26). Solve -23*u - o*u = 264 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 26*b**3 - b**4 + b + 12*b**3 + 17*b**3 to the form x + c*b**4 + u*b + y*b**2 + w*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 232184614 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1334*m + 2670. Calculate z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/40)\/(2\/(-80)*-5) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 849351123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((100\/12)\/(10\/6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 2*b**2 + 7*b**2 + 0*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1. Let l(o) = -o**3 - 5*o**2 + 7*o + 2. Let t be l(-6). Let q be x(t). Solve 2*f = 5*d + 8 + q, -4*f + 2*d = -14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 5*c)*(-200 + 247 + 520 + 85).\nAnswer: 3912*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -375*d - 3. Does 51 divide m(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 20*j + 10. Let y(q) = -q. Let g(a) = i(a) - 6*y(a). Let h be g(4). Is (h - (-302)\/6)*312\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -212*z. Let n(v) = -5756*v. Calculate n(k(g)).\nAnswer: 1220272*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + 6 + -56 + -69?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 t when three letters picked without replacement from tfvattvvttaftass?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 197*m - 193*m = 4, 5*m + 30 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 29*t**2 - 204*t + 46. What is o(-16)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y - 1. Let u be n(-1). Let m be -2 + u + (2 - 2). Suppose -26 = 2*x - 4*x. Solve -2*z - 26 = 5*p, -m*z - x - 6 = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001101001 (base 2) to base 3\nAnswer: -10122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) - 7900\/(-2054). What is the second smallest value in y, -6\/7, -776?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1866 + 642 = 275*q - 237*q. Solve -44 = -q*j + 77*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000653 divided by 1\nAnswer: 2000653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 78*z**2 + 334*z + 40. What is g(-7)?\nAnswer: 1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bd - 1?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*d + 8*d. Suppose r - 1 = 3*n - 6*n, 0 = -4*r - d*n - 4. Suppose -1 = -4*f + 5*f. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {d: 6, w: 1, j: 11}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2877074370.\nAnswer: 2, 3, 5, 23, 463297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499 divided by -11819.\nAnswer: -499\/11819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-5))\/((-2)\/23130)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552\/37 - (6 - 1 - 1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, 2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -12597107000 to the nearest 1000000.\nAnswer: -12597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from nnnnnnnnnunnnnnuunkn.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2\/13 - 3248*l\/13 - 1318688\/13 = 0.\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 3730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -617\/885 - -9\/295. What is the third biggest value in -0.4, 26, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21635 + 3*x - 2*x + 0*x - 5*x.\nAnswer: -4*x + 21635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318*s - 15256 = 46132 + 3429 + 34033 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 7*v**4\/2 - 32*v + 74. Let k(c) be the third derivative of 0*c - c**2 + 0 + 0*c**3 + 1\/24*c**4. Give k(m(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78058163\/121289 - -4\/17327. Let z = -641 - d. Find l such that 12\/7*l + z + 2\/7*l**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(6*j + 2*j + 0*j)*(2 + 0 - 3).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + 0 + (45 - 38).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 34904307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2670, -2681, -2724, -2817, -2978, -3225, -3576?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 588 or 7?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 572 = 68. Suppose 5*v = -4*a + 859, -5*v + 85 = a - r. Is 36 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(162) + sqrt(18) + sqrt(18))\/sqrt(9))**2 - (-4 + 0 + sqrt(18)).\nAnswer: -3*sqrt(2) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1181 by 1.\nAnswer: -1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e3 - -2?\nAnswer: -1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 72*r**2 - 208. Let k(u) = -2*u. Calculate k(g(z)).\nAnswer: -288*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {x: 7, v: 3, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)*15\/(0 + -3). Suppose i*t - 7*t = 2*l - 14, -2*t = l - 14. Solve 5*w + 2*w = -t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 7815 = 14*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0 + 2. Suppose -15 = -f*q - 25. Let d(r) = -37*r + 41. Does 20 divide d(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**4 + 0 - 3\/20*y**5 + 5*y**3 + 0*y**2 - 27*y. What is the second derivative of r(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -17653.\nAnswer: 1\/17653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o + 313. Let y be t(-17). Put 9, y, -5 in ascending order.\nAnswer: -5, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 144430.584?\nAnswer: -288861.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.428 + -0.74664607?\nAnswer: -0.31864607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-3)*(4 - 1). Factor 11*i**2 + i**2 - 22*i - 2*i - 2*i**3 + l.\nAnswer: -2*(i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4624 + 9581 = 85*b - 6943 for b.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3113, 6169, 9229, 12287, 15337, 18373?\nAnswer: 21389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 39*t + 6*t - 8*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a factor of 19181355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 + 702*z**4 + 1957576*z**3 + 705947582*z**2 - 1957575*z - 705948284 = 0. Calculate z.\nAnswer: -607, -1, 1, 1916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41474.\nAnswer: 2, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/7)\/l*l*l*l**(-1\/5)\/l)\/(l**(2\/17)\/(l\/(l\/(l*l\/((l*l\/(l\/(((l**(-2)\/l)\/l)\/l))*l)\/l*l)*l)))))**(3\/20) assuming l is positive.\nAnswer: l**(4689\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 23.08. Let z = 0.58 + t. What is the nearest to -2 in z, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*38\/76*(-4032)\/63?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 u when three letters picked without replacement from unuenmeefue?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1)\/(x**6\/x)*x*x**(-4)*x**(-4)*(x**1\/(x*(x**(2\/3)\/x)\/x*x))\/(x**(-2\/3)*(x\/(x*x\/((x\/x**4)\/x)*x*x)*x)\/x*x*x) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:45 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((4 - 0)*1)\/3. Suppose -5*r = -8*f + 3*f, -4*r + 6 = -f. Is t < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/15)\/(1\/9).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/12 - 2*t**3\/3 - t**2. Let o be 3\/(99\/(-6)) + 53\/(-11). Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -82\/29 - -2004\/319. Calculate the common denominator of n and -27\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 - 4*f**2 + 4. Let u(r) = -96*r**3 + 58*r**2 - 55. Let y(p) = p**3 + p**2. Let w(s) = -u(s) + 3*y(s). Determine -55*g(o) + 4*w(o).\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.2320365 nanometers?\nAnswer: 0.0000000002320365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127277.\nAnswer: 127277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -254, -294, -334, -374, -414, -454?\n\"Answer: -40*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.21263794\nAnswer: 0.21263794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 4:55 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13453121 (base 6) to base 3.\nAnswer: -212021111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 257914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 4. Sort -1, v, 1 in descending order.\nAnswer: 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 - 4*t**3 - 154*t + 3*t**3 + 7*t**3 - 2*t**2 - 3 + 183*t as f*t + n + z*t**2 + q*t**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, w: 2, i: 1, k: 1, p: 2}. Give prob of sequence im.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-5)*(-1960)\/(-448).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6551658 is divided by 1310322?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(343) + 2) + (sqrt(343) + -2)*-5)*-4*4)**2.\nAnswer: -150528*sqrt(7) + 4311808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -730 - 479606076.\nAnswer: -479606806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus -4.1070930351?\nAnswer: -4.1270930351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.128787\nAnswer: -0.0515148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1556769*f**4 - 9229788 wrt f.\nAnswer: -6227076*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 5*a - 207, 2*b + 138 = 5*a. Let j = b - -73. What is the remainder when (0\/2)\/2 - -16 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(70)*-6)\/(2*sqrt(160) - sqrt(10)) + 1)**2.\nAnswer: 36*sqrt(7)\/7 + 331\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1153050347 is divided by 1067.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1249\/2436 + 2\/87. Suppose -3*g - 4065 = -3*a, -8 + 0 = -2*a. Let c = 9437\/7 + g. Calculate the common denominator of c and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204041404 + 410?\nAnswer: -204040444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*t + 111. Let q = t - -33. Solve v = q + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 17, 55, 109, 179, 265, 367?\nAnswer: 485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.277 - -6645.\nAnswer: 6645.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from uiiquqqi?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 23*q - 1\/8*q**4 - 11\/4*q**3 - 21*q**2 + 0. What is m in b(m) = 0?\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 27890*u**2\/9 - 32415152*u\/3 - 10801952.\nAnswer: -2*(u + 1)*(u + 6972)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/8)\/(-1) + (29 + 3 - 45)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 16*t**2 + 36*t + 61. What is p(-11)?\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16434 and 60.\nAnswer: 164340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132749, -265465, -398171, -530861, -663529, -796169?\nAnswer: -928775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 461*n = 464*n + 42, 0 = -13*s + n - 115 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 - a**2 + a - 1. Let i(d) = -165*d**3 - 6*d**2 + 6*d - 23. Let v(n) = 5*i(n) - 30*y(n). Differentiate v(k) with respect to k.\nAnswer: -2025*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1748, 1746, 1744, 1742?\n\"Answer: -2*l + 1750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*x + 10*x + 17*x - 25*x - 61*x to the form s*x + j and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (6 + -2 + (-32 - -34) - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.4 (c) 25 (d) -0.14 (e) -0.3 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - u + 12. Give q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-16)*20\/35?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85552 (base 9) to base 5.\nAnswer: 3302320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 5*b**2 - 2*b - 3. Let m be -19 - -15 - (3 + -2)*71. Let i = -66 - m. Calculate the least common multiple of d(6) and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 461175?\nAnswer: 7\/461175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 794 + -332. Let c = 461.99377 - k. Round c to three decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-392)\/(-10) - 4\/20. Calculate the greatest common divisor of 156 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 118093008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 6836*n - 6838.\nAnswer: 2*(n - 1)*(n + 3419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1537937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 9085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/336 and (-1)\/(-14)*25\/(-100)*-69?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/27 - 10\/(-36). Let p = -0.7 + 1. Sort q, p, -2\/9 in descending order.\nAnswer: q, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/2706075 and 17\/8659440.\nAnswer: 43297200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*q - 45*q - 74*q + 2942610 = 0. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 14*s**2 + 6*s + 20. Let b be d(-14). Let m = b + 62. What is the remainder when 29 is divided by -4*4\/8 + 15 + m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 13. Let o be u(-9). Suppose 3*t + w = o, w + 4 = -2*t + 3*w. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000430682 rounded to 7 decimal places?\nAnswer: 0.0000431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12050*v - 37644*v - 3711428 = 19345*v - 8834474 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ebkkxxxexbxbk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a4 - -5?\nAnswer: -69e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 18 - 56)*(-3*w - 3*w + 4*w)*(3*w + 3*w - 4*w).\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1274, 4, -700 in decreasing order.\nAnswer: 4, -700, -1274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 4. Let x be m(7). Solve 0*t = -x*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42981 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -285*l**3 + 8*l**2 - 50*l - 165. Let z be d(-3). What is the highest common divisor of z and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/3)*o\/((o\/(o*o*o*o**(-3)))\/o)*o)**(-4\/9))**(14\/3) assuming o is positive.\nAnswer: o**(-448\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804787 and 49?\nAnswer: 39434563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {h: 2, y: 5, p: 4, v: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99537.58 weeks to milliseconds.\nAnswer: 60200328384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(0*p**3 + 2*p**3 - 3*p**3)*(14859*p**2 - 2555*p**2 + 3441*p**2 - 4098*p**2 + 7844*p**2).\nAnswer: -19491*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) - (-2)\/(-5). Suppose s = -6*g + 210 - 186. Solve 5*f + 2*w + 27 = 0, 3*w - g*w = 5*f + 26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 4, h: 3, p: 2, j: 1, z: 2}. What is prob of picking 1 h, 1 t, and 1 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 3112*h**3 + 18726*h**2 + 28116*h.\nAnswer: -2*h*(h - 1562)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26291, -26335, -26361, -26363, -26335, -26271, -26165, -26011?\nAnswer: -25803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 79*r + 735 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 593990 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -12 - -2 - -15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3*m - 6 + 2*m**2)*(2*m**2 + 0*m**2 + 0*m - 4*m) to v + a*m**2 + w*m**3 + r*m + u*m**4 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/129, 1, -29, -0.07 in increasing order.\nAnswer: -29, -2, -0.07, 1\/129, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89495?\nAnswer: 5, 7, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2189\/2 or 1094?\nAnswer: 1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-4))\/(2\/1228) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 2. Suppose 127 = s*a + d + 4*d, 24 = a - 2*d. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2. Suppose 0 = -4*m + 2*m + 1128. Suppose 35*x - 37*x + 6 = 0. Let c(f) = 564 - m + x*f. Determine k(c(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111100100010111101 (base 2) to base 9.\nAnswer: -4813472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*x + 549*x - 271*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 15) to base 13\nAnswer: 44c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 76aa2691?\nAnswer: 76aa2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000428148 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 225897 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -35. Let g be 4*1 + 0\/2. Which is the closest to -1? (a) r (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 35*m**2 - 17*m - 18. Let g be a(18). Let k = 202\/5 - 40. What is the second biggest value in 3, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 1:40 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 7*o**2 - 7*o - 6. Let l be g(-6). Let p(k) be the second derivative of -1\/90*k**5 + k + 1\/27*k**3 + 0*k**2 + l*k**4 + 0. Factor p(m).\nAnswer: -2*m*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-30)\/6)\/10)\/(18\/8). Let w = 0 - -0.2. Which is the second smallest value? (a) w (b) -5 (c) 0.4 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11401?\nAnswer: 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/7 - 44\/42. Let b = n - -2. Let d be 1\/2 + 55\/(-10). What is the biggest value in -1, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15095 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from eiiyyieeyiiyeriiiyyy?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3498 - 3491. Solve -39*z = -k*z - 64 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 2*x**2 + 3*x**2)*((2*x**2 + 2*x - 2*x)*(-x + 0 + 0) - x**3 + 2*x**2 - 2*x**2).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4504626 and 3.\nAnswer: -1.3513878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 362.9, 62 in increasing order.\nAnswer: 17, 62, 362.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, n: 5, i: 7, m: 2}. Give prob of picking 1 n and 3 s.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -395 - -1114. Let h = 476 - w. Let v = h - -362. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 5*k - 28 = 0. What is the greatest common factor of k and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*h = -2684, -22*y + h = -17*y - 6721. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 86*m + 37890520 + 24477847. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**5\/60 + h**4\/8 + 13*h**3\/6 + 30*h**2 - 3*h. Determine g(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -6*i**3 + 1436*i**2 - 82846*i + 27456 = 0.\nAnswer: 1\/3, 96, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28273.\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -39 - 1838*k + 1836*k + 17. Calculate l(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19305 and 30.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 235211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 261 - 366. Let b = m + 105.5. Let x be (-12)\/8 + -2 + 1. Put 3, -3\/2, b, x in decreasing order.\nAnswer: 3, b, -3\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + 10 + -1 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**3 - 7*b**2 - 6*b - 2. Suppose 3*n + 22 - 59 = -4*f, -2*n = 2*f - 22. Let v(m) = 11*m**3 - 8*m**2 - 7*m - 2. Give n*h(d) - 6*v(d).\nAnswer: 4*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 = 254. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109108, 109066, 109026, 108988, 108952, 108918, 108886?\nAnswer: 108856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**6\/25 - d**5\/10 + d**4\/30 + d**3\/15 - 7*d. Determine c so that y(c) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1418*k**2 + 6*k + 5. What are the prime factors of v(-1)?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-528)\/(-110))\/(6\/(-20)))\/((-2)\/(-1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.399929883 to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 683227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 2743, 8788, 20409, 39466?\nAnswer: 67819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let h(j) = -3127*j + 4. Determine m(h(x)).\nAnswer: 3127*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 85*t. Let x(g) be the third derivative of -g**5\/60 - 3*g**2 - 7*g. What is j(x(c))?\nAnswer: -85*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4495*u**3 - 2*u + 2976.\nAnswer: -13485*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130\/(-40) - (-567)\/252?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9583\/18672 or 2?\nAnswer: 9583\/18672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 810.5772cm?\nAnswer: 8105772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*a - 3*u, -3*a - 2*u = -6*a - 12. What are the prime factors of (1 - (-3)\/a)\/((-41)\/(-17548))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e6 + -1b9?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585?\nAnswer: 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4 in ascending order.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12.003. What is t rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67877\/64011 - -208\/1123. What is the common denominator of (151\/9)\/(4\/3) and h?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -131351\/5792?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 22120?\nAnswer: 243320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 29. Let g be q(-17). Put 0.23, g, -1\/3 in decreasing order.\nAnswer: 0.23, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*w**5 - 3*w**3 - 2*w**2 - 6150*w wrt w.\nAnswer: 900*w**3 - 18*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r. Suppose -24*l + 576 = -18*l. Let c(v) = 23*v - 22*v - l*v. Give c(h(k)).\nAnswer: 190*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1308.673598 + -0.4.\nAnswer: -1309.073598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 18 = -13*y. Let o be 6*y\/20*5. Solve -3*g = -6*j + 4*j - 4, g - o*j = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56473.0675 - -56872. Let j = h - 399. What is j rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 127, 0.046, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - j + 0*j**2 + j**2. Let u(h) = 4*h**2 + 5*h. Let f be 1\/(1 + (-9)\/10). Let d(y) = y - 5. Let b be d(7). Give b*u(s) + f*x(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/l**(-6))))**3\/(l**(1\/5))**(-1\/81))**40 assuming l is positive.\nAnswer: l**(58328\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55589438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -42*j - 13. Let m be t(-6). Suppose -2*q + m = 5*n - 4*n, q + 5*n - 115 = 0. Suppose 4*d - 4 = q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*x + 9223 = -59*x - 10777 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*t**(-1))\/t)**(-16)*(((t*t**1)\/t)\/t)**(3\/17))**(-26\/9))**(-3\/5) assuming t is positive.\nAnswer: t**(-416\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1893 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -0.145813?\nAnswer: -0.115813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f - f - 2*f - 2*f - f + (-1 + 1 + f)*(-6 + 3 + 2))*(3074 - 275 - 166)*(-1 + 0 + 0)*(0 + 0 - 2) in the form j*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.544 in 0, -67, -79, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m = -153*m + 73*m + 4*c - 5, 0 = 6*m + c - 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30300463\/119 - -254614. Let g = r - -83\/7. Which is the closest to 0? (a) -0.01 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b**5 + 365*b**4 - 818*b**3 + 76*b**2 + 812*b - 441 = 0.\nAnswer: -63, -1, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3 + 72*n**2 - 320*n + 384 = 0. What is n?\nAnswer: 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13682*q**2*x**3 + 9053*q*x**3 wrt q.\nAnswer: -27364*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2783784 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 - 53*o**2 - 175*o - 36. Calculate j(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 1. Let z be v(-1). Suppose 5*a = -o + 16, -z = a + 4*o + 6. Suppose a*l**2 + 24 - l**2 + 3*l - 30 = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 4) to base 2.\nAnswer: -101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 9*m**2 + 11*m + 8. Let d be q(-8). Let l = -7 - d. What is the smallest common multiple of l and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (147\/21)\/(3 + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2097*l + 1894. Let x(k) = -14650*k - 13260. Let b(w) = 15*q(w) + 2*x(w). Find the first derivative of b(d) wrt d.\nAnswer: 2155","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4898652 by 66.\nAnswer: 74222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7\/((a*a**(1\/14)*a)\/a)*a\/(a*a**(1\/2)*a)*a**0 assuming a is positive.\nAnswer: a**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223638 is divided by 1400?\nAnswer: 1038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -11.8. Let s = 18.5 - 5. Let a = -13 + s. Sort f, -0.3, a in increasing order.\nAnswer: -0.3, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3514 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*v + 3*b + 7, 4*v + 4*b - 28 = 0. Let s be -5*2\/v*2. Sort 4, -3, s.\nAnswer: s, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26426 - -26424. Which is the nearest to 0.1? (a) 0.4 (b) f (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 - 7)*(5 - 2*b**2 - 5)*(-3 + 4 - 2) + (-7*b**2 + b**2 + 5*b**2)*(-3 + 9 - 2).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 50*c - 288. What is the greatest common factor of 41 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b - 13. Let l(t) = 18*t + 19. Let s(v) = 8*a(v) + 5*l(v). Differentiate s(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5 - 5014*x**4 - 3592432*x**3 - 554063096*x**2 - 13871153856*x = 0. What is x?\nAnswer: -1154, -168, -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -1\/4 (b) -5\/6 (c) -0.14 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1 + -0.1. Let o = 666.9 + -665.9. What is the second smallest value in f, o, -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 6*v - 6. Suppose 4*o = 5*a + 17, 2*a + o + 2*o = -16. Let j be r(a). List the prime factors of 35 + 36 - 1\/(j\/(-3)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y - 119*y**3 - 8*y**2 - 6*y**2 + 100 - 2*y**2 + 117*y**3 - 7*y.\nAnswer: -2*(y - 2)*(y + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/9))**(2\/5)\/(g**(4\/5))**12)**17)**(-32) assuming g is positive.\nAnswer: g**(232832\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 35*i + 30. Let g be z(-18). Let t be (-48)\/216 - 2*58\/(-36). Solve -5*o - 20 = -3*b, -t*o - g = -b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -1, 1332, -2, 0 in decreasing order.\nAnswer: 1332, 1, 0, -1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12*v = -120 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwgwwwgwwwww?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15670246 divided by 281.\nAnswer: -55766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2386, -4680, -8386, -13510, -20058, -28036, -37450?\nAnswer: -48306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:36 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4447590 not equal to -4447593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - s)*(1 + 2 - 1) + 0*s + s + 2*s + 18 - 9*s - 18 in the form k*s + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235*-5.\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from rkkykkyy?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 22748.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/4, -8, -21, -1\/2, 4175?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42429.\nAnswer: 3, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1027700 by -513850.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6*v + 16. Let z be a(6). Solve 4*t = -z, 0 = 5*o + t - 0*t + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - (-35 + 17)) + -53 + -42.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:00 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9*(6 - 3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - -110102213?\nAnswer: 110101113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.315001l?\nAnswer: 6315.001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*p - 0. Let m(r) = -1. Let u(t) = t**2 + 5*t - 6. Let s(b) = p*m(b) + u(b). What is the second derivative of s(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/9 - 364*v**3\/3 + 24890*v**2\/9 + 141500*v = 0. Calculate v.\nAnswer: -566, -25, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 7:34 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(-1 + -5*(sqrt(68)*1 - sqrt(68)) + sqrt(68)).\nAnswer: -40*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 53*s**2 - 630*s.\nAnswer: s*(s - 10)*(s + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6097094472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 - o**3 + 0*o**2 + 7 + (1 - 1 - o**2)*(4*o - 5*o + 0*o) + o**3 + o - o.\nAnswer: o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 100.3?\nAnswer: 108.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**8\/t)\/(((t\/(t\/(t\/(t*t**(7\/3)*t)))*t)\/t)\/t))**(1\/10))**(-16\/3))**(-5) assuming t is positive.\nAnswer: t**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9560 is divided by 4733.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w + 0*w)*(1 - 1 - w) + (28 - 24 + 107)*(0*w**2 + 0*w**2 - w**2) - 11*w**2 + 11*w**2 - 24*w**2.\nAnswer: -136*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbjjbsccccjjqjc. What is prob of sequence sb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.9 and -32189.\nAnswer: -32187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (148\/6)\/((-36)\/(-54)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-4*(sqrt(1100) + 1 - sqrt(1100)) + -3 + (sqrt(1100) + 1 - sqrt(1100)))*6)**2 + -2)*5.\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + 24*s - 2. Let u(r) = -4*r**2 + 20*r - 1. Let w(b) = -5*t(b) + 6*u(b). Determine w(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o. Calculate the remainder when 69 is divided by x(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.03 (b) -2\/3 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 3471435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*n + 89, -10*n = -5*n - 25. What is the remainder when d is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*n + 2189 + 3066 = 1906 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -576, 16, 543 in ascending order.\nAnswer: -576, 16, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 229*l**3 + 7*l**2 - 26*l + 20. What is q(1)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3874 - g**2 - 3803 + 846 - 9125 - g.\nAnswer: -g**2 - g - 15956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1516083716 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**3 - 198*w**2 + 50*w + 63. Give l(-25).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*y**2 - 113*y**2 - 8*y**2 + 8*y**3 - 14*y**3 - 236*y**3 wrt y?\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -78140 and -150\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3937 + -3987. Let p = -3.65 + -0.35. Which is the third smallest value? (a) -0.4 (b) 3 (c) p (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 5*p**2 + 0 + 1\/5*p**5 + 0*p**4 - 11\/3*p**3 + 0*p. What is the derivative of w(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 + 1. Let n(s) = -10*s**3 - 10*s**2 - 11. Suppose 105 + 62 = -3*a + r, 3*r + 3 = 0. Let b = a + 34. Give b*u(m) - 2*n(m).\nAnswer: -2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -3313*i**5\/60 + i**4\/24 - 9*i**3\/2 + 2294*i**2. Find the second derivative of j(z) wrt z.\nAnswer: -6626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 12:14 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 809 + 17673 = -2*r, 4225 = s - 5*r. What are the prime factors of s?\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.4, 3266, 0.1, -9\/2, 5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 1540. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234985762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let s = 14 + -27\/2. What is the nearest to g in -1\/4, 5, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5370 - -5670. Calculate the remainder when j is divided by 293.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.252 or 122185?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 12\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21019.082 to the nearest 10.\nAnswer: 21020","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 0.0136 * 1\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20022231111 (base 4) in base 7?\nAnswer: -24125010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92700617.\nAnswer: 29, 3196573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52418 is divided by 1807?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*p - 2*p. Suppose 3*h = -h - 3*m - 48, 16 = -4*m. Let j = -10 - h. Sort p, j, 1 in ascending order.\nAnswer: j, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 0.216714?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*x + 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - m + 68 = -6*m, -2*m + 141 = 5*r. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/10 and 39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 4*m)*((-3*m + 5*m - 4*m)*(0 + 0 + 1) - 10*m + m + 0*m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*l = 0, 2542*n = 1276*n + 1268*n + 3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**2 + 26*x**2 + 7*x**2 + (2*x**2 - 2*x**2 + 2*x**2)*(6 + 8 + 7).\nAnswer: 71*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 1290*b - 18. Suppose -m + 38 = -4*s, 3*m - 72 = s + 9. Let r be p(m). Suppose j + r = 6622. Round j to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3\/15 - 21*t**2\/5 - 9. Determine s so that i(s) = 0.\nAnswer: 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuaaavuiaaaavvvaaua. Give prob of picking 2 v and 1 a.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:11 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-22 + 18 - -24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142597227?\nAnswer: 3, 47532409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -32, -125, -308, -611, -1064, -1697, -2540?\n\"Answer: -5*c**3 + 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/50 of a micrometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11725522 < -11725522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l**(-2\/3)*l*l*l)\/l*l*l)**(3\/14))**(2\/75)\/((l\/(l*l\/(l\/(l**(-3\/8)\/l*l))))\/(l*l**(1\/4)*l)*(l\/((l**(-1\/3)*l*l)\/l))**(1\/36)) assuming l is positive.\nAnswer: l**(71677\/37800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/12*1\/(-3). Which is the nearest to -1? (a) n (b) -4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o + 3*o + o)*(-2*o**2 + 2 - 2) - o**3 + 2*o**2 - 2*o**2 + 0 + 0 - 2*o**3 + o**3 - 7*o**3 - 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 3 - -13) + (-9 - (-17 - -8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:40 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 - 16 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -7. Let x(o) = -4*o**2 + o**3 + 15*o**2 + 3*o - 5*o**2 - 5. Is x(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 + 7884780*q + 3108487782420 = 0.\nAnswer: -788478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65.84 and 49368.55897.\nAnswer: 49302.71897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 12) + (-1 - (0 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9)\/(c\/(c**(-12)\/c)))**(-15) assuming c is positive.\nAnswer: c**(640\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/60 + 5*a**4\/6 - a**2. What is the tens digit of z(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12380 is divided by 95.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*q**3*s**2 + 1822*q**3*s - 11*q*s**3 - q*s**2 + s**3 - s wrt s?\nAnswer: -48*q**3 - 66*q*s - 2*q + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1. Let l be d(3). Suppose -3*r = l*r - 60. Solve 0 = m + 2*m - r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 565 - 564. What is the tens digit of -881*(t + 0)*(-5)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/((-2604)\/448))\/(((-9)\/(-12))\/(15\/10))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356020.\nAnswer: 2, 5, 67801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 18*r + 204. Let s(g) = -53*g - 609. Let w(y) = -3*s(y) - 8*u(y). Let t be w(-13). Find j such that -6\/7*j + t - 3\/7*j**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 3 + 24 - 19) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10775 divided by -7.\nAnswer: 10775\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08914 + -13064615.\nAnswer: -13064615.08914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s - 1. Let q be t(-1). Suppose j = 5*j - q. Solve -j*h = 2*g + 4, 0 = 4*g + h + h for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*w + 28 = -4*i, 3*w = 5*i + 18. Let u be -6*2\/4 - i. Suppose u*f + 0*f = 6. Solve -f*v = -6*v - b - 14, 0 = v - 4*b + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - 11*i**2. Let b(h) = -7*h**3 + 23*h**2 - h. Let u(c) = -4*b(c) - 9*d(c). Let v = -5301 - -5295. Calculate u(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -4*o**5\/5 - 44*o**4 + 568*o**3\/3 + 88*o**2 - 564*o - 7080. Solve w(a) = 0 for a.\nAnswer: -47, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2171.05293 - -0.05293. Let a = u - -2258.3. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5219552 and 0.040491.\nAnswer: 5219552.040491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l + 2 - 2)*(-1 + 1 + 5) + (-l + l + l)*(1 + 2 - 5).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose 0 = -b*o + 5 + 19. Suppose -5*l = -7*l + o. Solve -4 = -4*y, 5*y + 2 = -l*q + y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 12426 + 3*r + 21*r + 12428 + 5*r. Determine w(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 + 2955*a - 2956 = 0.\nAnswer: -2956, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(80)\/(sqrt(16)\/sqrt(2))) + 5)**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/57 in -87, 2\/7, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46724024 by 343559.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {l: 1, r: 10, x: 1, n: 4, t: 3}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*y**3 + 1135*y**3 - 2271*y**3.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(170) - (sqrt(170)*3*-6 + sqrt(170)))\/(-3*sqrt(40)).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from {k: 1, u: 3, l: 5, h: 1, s: 1, g: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 6 - 6*t**3 - 15*t**3 + 20*t**3 - 3*t**2 + 7*t. Does 7 divide u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11281 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/1573)\/(21\/(-33))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111111011 - -1100101111?\nAnswer: -11111011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 36201 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 5*x + 2*x**2 - 6*x**2 + x**2 + 3*x**2 + 49586 - 49586 + 58*x**2 + (0 + 5 - 3)*(-x**2 + 5*x**2 - 2*x**2) + 2*x**2 - 2*x**2 + 2*x**2.\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 3. Let k be o(5). Let a = k + 10. Suppose -1 = -a*l + 7. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*5\/(-15)*3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6240728mm?\nAnswer: 0.06240728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 94*y - 753. Give t(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69631 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 2*d - 14*d + 2*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 19. What are the prime factors of 2 + f - (-1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -5, 1\/26 in descending order.\nAnswer: 4, 1\/26, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -944588, -3778354, -8501300, -15113426, -23614732, -34005218, -46284884?\n\"Answer: -944590*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 151 - 504 = 0. Does 11 divide r\/4 - 3\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45753 and -5.\nAnswer: -228765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 10. Let s be (h + -14)\/(2\/1). Let p be (-16)\/s - -3*(-10)\/(-135). Solve 4*v - r - 14 = 0, -5*v - 3*r + p = -7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-30)\/16)*-3. Suppose v + p = 3*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: Evaluate (-72)\/(-4734)*106\/(-212).\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-2 + 7)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20341022881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50497, 100988, 151479, 201970, 252461?\nAnswer: 302952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -578\/3 + 2315\/12. What is the third smallest value in 2\/9, j, 2, -0.026?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -470*i**3*v - 24*i**3 + 187*i**2*v + 19 wrt i.\nAnswer: -2820*v - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/24 - 2*y**3\/3 - y**2\/2 - 2. Let m(k) be the second derivative of q(k). Let n be m(-5). Is n at least -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/2)\/(-5 + 4). Let c be k*(3 + -2) - 11. Let f(y) = y**3 + 13*y**2 + 13*y + 17. Let p be f(c). Solve -p*x = 0, 2*x = -4*l - 2*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*q = -2*x - 34, 118 = 5*x + q. Suppose -h = h - x. Let v = h - 8. What is the highest common divisor of v and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-1 - -3 - -2) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 0*o - 2*o - 3*o. Let g = -23 + 27. Let k(m) = -2*m + g*m - 2*m + m. Calculate p(k(x)).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**29*u**(3\/4))\/((u\/(u**(1\/9)\/u*u))\/(u*u\/u**2*u)))**(3\/7) assuming u is positive.\nAnswer: u**(1075\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(56)\/(sqrt(8) + 2*sqrt(392) + sqrt(392))*-5.\nAnswer: 15*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**2 - 2*z**2 + 4*z**2 + (2 + z - 2)*(-3*z + 0*z + 4*z) + (z - 1 + 1)*(0*z - z - 3*z) + 2*z + z**2 - 2 + 2.\nAnswer: 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519 is divided by 161?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 7)*(x + 2*x - x) + x + 0*x + 0*x)*(-36 + 36 - 43*x) as j*x**2 + c*x + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10036 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1378.3386 * 0.4.\nAnswer: 551.33544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/402407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 209326489.163 from -0.4.\nAnswer: -209326489.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.039 and 0.1.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -186, -2, 1, 5, -222, -3, 155.\nAnswer: -222, -186, -3, -2, 1, 5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*o + 81, -5*o = a + 717 - 744 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 - 87142\/968 - (5 - 25745\/220).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - a - 0 + 6, -5*u + 2*a + 10 = 0. Solve -u*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/581 in -0.3, -17\/466, 2\/3, -0.1?\nAnswer: -17\/466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from yvvxxyxvxxvvxxoxxojx?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimmmmimimimiiimm. What is prob of picking 1 i and 1 m?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -13. Let t = 24 - u. Suppose -t*z + 2 = 2*s, -5 = -2*s + 5*z + 13. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let j be z(3). Let a = j + 3. Let y = -140 + 144. What is the closest to a in y, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 2, o: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -147 and -309.\nAnswer: 45423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 58.25. Let o = j + -0.55. Sort -1, o, -0.5, 0.4 in descending order.\nAnswer: o, 0.4, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 346632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 6)\/(0 + -1). Let i be (0 + -3)*s\/6. Let g(u) = -4 - 16*u - 7 - i. Let z(x) = 3*x + 3. Give 4*g(b) + 22*z(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36570332?\nAnswer: 2, 17, 641, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 340784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5328, -10649, -15970, -21291, -26612?\n\"Answer: -5321*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 3, -1\/4, -8, 8\/23, 5.\nAnswer: -8, -1\/4, 8\/23, 4\/7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 21 = -5*q + 4*r, -18 = 2*q + 4*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-5 + sqrt(99)))**2.\nAnswer: -120*sqrt(11) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 1. Let u be w(2). Let p(r) = r + 14. Let l be p(-8). Solve 3*s - u*d = -8*d - 2, -4*s - 5*d = l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14644 and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/129, 2\/11, 0.094 in decreasing order.\nAnswer: 2\/11, 0.094, 2\/129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -431\/11732 - -3\/2933. Suppose 4*r = -3*i - 19, 3*i = r - 0*r - 14. Is b > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319011.8 plus 8.7?\nAnswer: -319003.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -8*g**2 + 4*g + 4. Let w = 5 + -3. Let b(i) = 3*i**w - 2*i**2 - 1 + 0. Let v(j) = 6*b(j) + u(j). Factor v(p).\nAnswer: -2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -3*s**2\/2 + 24*s - 30. Does 15 divide j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1510598*n**2*t + 355829619*n**2 + 3*t**3 + t**2 wrt t?\nAnswer: -1510598*n**2 + 9*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 4*s + 22 = 0, 0 = 2*h - 7*s + 4*s - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i**2 + 15*i - 15. Let g(m) = 3*m**2 + 3*m - 3. Let p(k) = 21*g(k) - 4*j(k). Let d(l) = -l**2 - l. Let v(y) = 2*d(y) + p(y). Determine v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -3179.653?\nAnswer: -12718.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*d + 19, -7*y + 8*y + 12 = 2*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*(-5 + (5*(1 + sqrt(180)))**2 + ((sqrt(180)*-2)**2*1 - ((sqrt(180) - 1*sqrt(180)*-1) + sqrt(180)))).\nAnswer: -41920 - 2256*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 18 = 2*p, -3*c - 85 = -4*p - 47 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {y: 4, u: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*135\/60.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m**10*m)\/m*m))\/(m\/(m*m**(12\/13)))*m\/m**46*m**(-12\/13) assuming m is positive.\nAnswer: m**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 1.5. Let v = u - 10. Let a = v - -8.6. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -1, -4, -2\/59, -2, -4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 11 = 3*n. Calculate the remainder when 49 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, 74, -83827?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133133440100 + -4?\nAnswer: 133133440041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-3 - -7) - (-24 - -32)) + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:49 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3125*h**2 + 4181*h**2 - 1956*h**2.\nAnswer: 5350*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15464272 by 9.\nAnswer: 15464272\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -20. Let a(d) = -2*d - 2. Let g be a(u). Suppose -z - o + g*o = -13, 2*z - 4*o - 26 = 0. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 19, -11, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 11242164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 10*c**2 + c - 5. Let y be (1 - 2) + 1*-1. Let l be y\/4 - (-30)\/(-4). Is u(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6280 and 32?\nAnswer: 25120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -9*u - 2, 2*o - 4*u = 1054. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**2 + 7*n**2 + 2*n**2)*(3*n**2 - 5*n**2 + 0*n**2) + (2*n - 3*n - 7*n)*(2*n**3 - 9*n**3 + 5*n**3).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 1576\/6473 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/f**(-40)*f)\/f**2)\/(f*f**(3\/17))**(-2\/11))**(-4\/5) assuming f is positive.\nAnswer: f**(-31576\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36623, -36648, -36673, -36698?\n\"Answer: -25*l - 36598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 + 43*w**2 + 52*w + 29. Determine g(-4).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let n = -109 - -108. Which is the smallest value? (a) n (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/22133 - 44276\/110665. Sort 3\/4, h, -41, -17.\nAnswer: -41, -17, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 68180?\nAnswer: 68180.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30*z**2 + 49*z - 157. Is v(-17) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*c**2 + 4\/5*c + 0.\nAnswer: -4*c*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 6*h**2 + 5*h - 1. Let w be l(5). Let r = -11 - -8. Sort w, r, 3 in decreasing order.\nAnswer: 3, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 8466*r - 205 = 2*c + 8469*r, 4*c = 5*r + 177 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*f - 43 + 313 = 0, -3*i + 738 = -3*f. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -96*a - 33. Let g(b) = 6*b + 2. Let u be 2*(1 - 2)*(-12)\/12. Give u*s(r) + 33*g(r).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -71, -108, -145?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 104*q + 136. Let n(k) = -37*k - 46. Determine 5*f(i) + 14*n(i).\nAnswer: 2*i + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -73*b - 14. Let y(r) = -3*r - 1. Determine -f(m) - 2*y(m).\nAnswer: 79*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 55*n - 113*n + 59*n.\nAnswer: n + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53.81 - 54. Round z to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-1\/42)\/a*a*a*a**25)**(1\/47))**(1\/44))**(-19\/5) assuming a is positive.\nAnswer: a**(-20729\/434280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*h**2 - 4*h**2 + 10*h**4 - 14*h**2 wrt h.\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 3)*(-3 + 2 - 1)*(-142 + 232 - 283)*(-4*x + 3*x + 3*x) as p*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 3. Let i(a) = 1. Suppose 2*l = -4 + 6. Give l*x(f) + i(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1199 - -3?\nAnswer: -1196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/121)\/(14\/33*-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/36*(6 + 11\/(-2)). Let p(y) be the third derivative of -29*y**2 + s*y - 1\/126*y**5 - 1\/42*y**4 + 0 - 1\/1260*y**6 + 0*y**3. What is m in p(m) = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4258 - -0.0258. Let j = -146 - -141. Let i be 6\/26*8\/12. What is the nearest to 0.2 in a, i, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(126\/459) + -1*(-7 + 13).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11139 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -32, 38, 136?\n\"Answer: 14*m**2 - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134.5543 * 5.\nAnswer: 672.7715","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 6*v**2 + 2*v + 4. Let d be i(-5). Suppose 3*w - 155 = d. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Let i be (b\/3)\/(34\/51). Suppose -i*t - t + 57 = -3*u, -u = 5. What is the greatest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-245)*-15 - 4700\/7. Let c = 715 + i. What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*i*q**3 - 2*i*q**2 - 226*i wrt q?\nAnswer: 1194*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1157 divided by 6.\nAnswer: 1157\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 + 2?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -26\/87 (c) 2938 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 918 + -922.09. Let n = 0.09 + m. Let r = 6 + n. Is -1 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -0.01, -0.2, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270750677.\nAnswer: 419, 646183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) 2 (b) 0.4 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*k + 30 = 0, 4*s = -2*k + 3*k + 7. Let o(h) be the second derivative of -h**4\/12 + 5*h**3\/6 - h**2\/2 - 15*h. Give o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1650649.644ns to weeks.\nAnswer: 0.00000000272924875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = z + 3*m, -4*z - 3*m + 6*m = -1. Let f = -31 - -17. Is (f\/4)\/(z\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101000110101000 (base 2) to base 15\nAnswer: 1a92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10) - -1) + 2597\/3920*-16\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 3*g + 3. Let n be p(3). Let w = -78 - -84. Solve -6*c + n*c = w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33662\/40)\/((-30)\/(-75)). Suppose 0 = -3*x - 4*a - 6304, a - 4199 = -0*x + 2*x. Let w = x + g. What is the common denominator of w and 9\/17?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -2*z**4\/3 + 2*z**3\/3 + 5*z**2\/2 - 5*z + 1. Differentiate w(y) with respect to y.\nAnswer: -16*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*n**4 + 3*n**4 + n**4 + 13*n - 11*n**4 wrt n.\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 263582986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((-3*(-1 + sqrt(176)) - ((sqrt(176) + 0 + sqrt(176))*-6 + sqrt(176)))**2 + 3)*-1 + -4.\nAnswer: -22556 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**7\/i*i)\/i)\/i**(-2\/7))\/(((i**4*i)\/i)\/(i**(-1\/6)\/i*i)))\/((i\/(i*i\/i**(2\/13))*i**(1\/3))\/(i**0)**(-32)) assuming i is positive.\nAnswer: i**(661\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v + 165*v = 7*v + 748. What is the lowest common multiple of v and 1137?\nAnswer: 4548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 21.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let y = 8 + -6. Let l(s) be the first derivative of s**y + 10 + 54*s - 27*s - 27*s. Determine p(l(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26269702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 + 14144?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 13*i**2 + 11*i - 15. Let b be j(-12). What is the units digit of (-90)\/(-27) + 1\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 15*q**3 - 2. Let u(g) = 6*g + 17*g + 75 - 555*g**3 - 30*g + 7*g. Give 75*l(p) + 2*u(p).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let i(o) be the second derivative of -o**6\/40 - o**3\/3 - o**2\/2 + 3*o + 5. Let x(a) be the second derivative of i(a). What is x(n(b))?\nAnswer: -81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 6) + 5 - (-4 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14652627 or -14652628?\nAnswer: -14652627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwl when three letters picked without replacement from lllllwllww.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112230 and 446340?\nAnswer: 38831580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(84) + sqrt(84) - sqrt(84)) + sqrt(84))*-1 - sqrt(84) - sqrt(84))\/sqrt(12) + 1 + 2*sqrt(7) + 1.\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100010001 (base 2) to base 3.\nAnswer: -1002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 4, 2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 82*g - 371. Let z be s(5). Let n(b) = b**3 - 13*b**2 - 11*b + 1. Calculate n(z).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -144. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -26.\nAnswer: -27\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*l + 3, 6*d - 4 = -2*l + 2*d. Suppose l = c - 0*c. Let k = -601 - -605. Solve 0 = -c*y - y - 1, a + 5*y = -k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:01 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljjrjrjflfrjjrrll. What is prob of sequence lr?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 100*f**2 - 2*f - 55. Calculate y(-100).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1311343140 (base 5) to base 14.\nAnswer: 6016cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-550)\/51425)\/(20\/22))\/(3\/5)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 7*j**2 - 139*j - 412. Give n(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -2*m - b - 90, 73*b + 49 = 7*m - 3*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 194*c**2 + 292*c**2 + 299*c**2 + 333*c**2 - 6*c.\nAnswer: 1118*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2366 and 1521.\nAnswer: 21294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w**2 - w + 5. Let l(d) = -7*d**2 - d + 2. Calculate 6*a(h) - 13*l(h).\nAnswer: h**2 + 7*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17. Let v(s) = -4 - 3 + 0 - s**2 + 2. Determine v(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/(-6))\/(4\/18). Let o = 188 + l. Suppose 5*z = -5*k + o, -5*z - 4*k + 106 = -3*z. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283 by -72868.\nAnswer: -283\/72868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/4*126\/441)\/(16\/28).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -185*l + 228*l + 10 + 10. Calculate the remainder when s(12) is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41473720.925 minus 1.4?\nAnswer: 41473719.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*l - 2 - 1)*(-113*l**4 - 2*l**4 - 76*l**4) - 2*l**5 + 2*l**5 + 2*l**5 + (-2 + 2 + l)*(-3*l**4 - l**4 + 3*l**4).\nAnswer: -381*l**5 + 382*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 61*f + 1. Let n be q(5). Let w be (2\/6)\/(2\/n). Suppose -y = 2*y - w. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 383712*t**4 + 2128*t**2 + 5.\nAnswer: 9209088*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -655 - -1173. Suppose -f + 137 = -y + 3*y, 4*f + 2*y = u. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*o + 22. Let a = -1.76 + 2.706. Let f = a - -0.054. What is the second smallest value in o, -3, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 5:11 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - w + 4)*(2 + 0 - 4 - 69*w).\nAnswer: 69*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 8*h + 4*h + 56, h + 11 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let i = 1 + 14. Let f(c) = -5*c - 8*c - 7*c + i*c. Determine f(o(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 3*h + 3 - 6*h**4 + 7*h**4 - 7 + 9*h**4 + h**4 as o + r*h**2 + d*h + p*h**4 + f*h**3 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 + 5*216\/50.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a**2 - 154*a - 18. Let i(z) = -25*z**2 - 153*z - 21. Let r(v) = -7*b(v) + 6*i(v). What is the second derivative of r(s) wrt s?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = 1, -4*l + 214 = 5*m. What is the least common multiple of l and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-8))\/1)\/(117\/(-78))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1195 - -775. Suppose -6 = k - j, -5*j = 2*k - j + 12. Calculate the common denominator of k and b\/(-16) - 3\/1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/2 - 302*h**2 - 606*h = 0.\nAnswer: -2, 0, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 8:01 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-3 - (5 - (9 + 5))) + -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 9:12 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6800 divided by 2?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6.3. Let h = 59\/4 + -15. Put w, 2, h in decreasing order.\nAnswer: 2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8034131 to the nearest integer?\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -158, -303, -448, -593?\n\"Answer: -145*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.85 + 2.85. What is the nearest to s in -4, -21, -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 804 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15817908?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 76 = -104. Suppose z*k + 5*v - 4 = 0, 4*k - 6*k - v = 4. Let j be (2 + -1 - 2)\/1. Put j, k, -2 in ascending order.\nAnswer: k, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**3 - k**2 + 2*k - 2. Let h be q(1). Let s(z) = z - 2. Let n be s(5). Suppose -4\/3*r**n - 4\/3*r - 2*r**2 - 1\/3 - 1\/3*r**h = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1638 and -38\/315?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzbbxzbb. Give prob of picking 3 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 35*z**3 - 18338*z**2 - 1045*z - 1552. Give p(524).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 30*q**3 - 2445*q**2 + 5525*q - 1620. Let u(d) = 3*d**3 - 271*d**2 + 614*d - 180. Let g(f) = -6*m(f) + 55*u(f). Find j such that g(j) = 0.\nAnswer: -18, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83806 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 2*d - 2. Suppose 4*t = 4*w - 104, -3*w - 6*t = -4*t - 83. Let q be 4*2\/3*w\/(-18). Determine h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -65.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.117 rounded to the nearest integer?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x. Let v(l) be the first derivative of l**3\/6 - 3*l - 1. Let c(s) be the first derivative of v(s). Calculate c(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(2 + u - 2) - 131389 + 375*u + 131389 + 0*u + 3*u - 2*u - 2 + 1 - 72*u - 4 + 5 as p + m*u and give m.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 89*c - 92*c - 34006 = 0, -4*u = -4*c - 136000. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1518 and 66.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300301555 take away 55?\nAnswer: 300301500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3 = 5*r - 0, 30*r - 72*r = 10*f - 38*r + 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 105*d**2 + 27*d + 27. Let b(g) = -8*g**2 - 2*g - 2. Let f(m) = -27*b(m) - 2*o(m). Let i(n) = -35*n - 2*n - 11*n + 40*n - 27*n. What is f(i(l))?\nAnswer: 7350*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 691*u**3 - 2*u**2 - 2*u + 2. Let c(s) = 5537*s**3 - 17*s**2 - 17*s + 17. Calculate -6*c(b) + 51*t(b).\nAnswer: 2019*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-35) - 1219\/(-28). Let h = 43 - d. Let m be -2*(-9)\/12 - 2. Sort m, h, 3\/2 in increasing order.\nAnswer: m, h, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 10:01 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*k - 108 + 108)*(-4*k**2 + k**2 + 4*k**2) + (4 - 4 + k)*(-3*k**2 + 2*k**2 - k**2) to q*k**3 + v*k**2 + d*k + j and give q.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83, 1\/6, -232\/3, -5?\nAnswer: -232\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -378 + 395 + (-89 - 5)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 99*g**2 + 13*g - 44. Let n be z(3). Let y = 1678 - n. Is y a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 12*o - 6. Suppose 0 = f - 5*f - o*u + 26, -21 = -3*f - 3*u. Put 1, 4, f in ascending order.\nAnswer: 1, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 + 115. Suppose 0 = v*k - 2225 + 93. What is k rounded to the nearest ten?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 4*j - 3*r + 7, 4*r - 14 = 5*j. Sort 4, 56, j in ascending order.\nAnswer: j, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 1\/60*v**5 - 1\/120*v**6 + 0 + 0*v**3 + 0*v + 0*v**4 - v**2. Find the third derivative of o(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -1074, -1655, -2232, -2805, -3374, -3939?\nAnswer: -4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-15)*40\/8. Suppose 52 = m + 5*l - 166, -2*m - k*l = -464. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -109 - -109. Solve n*h = -h + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 56*b + 156. Let v be f(25). Solve 4*s + v = w, -3*w + 2*w = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:16 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0*m)**(11\/4))**31 assuming m is positive.\nAnswer: m**(341\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 5 (c) 0.228 (d) 2 (e) 0.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -12. Find the third derivative of u**2 - 2*u**2 + d*u**3 - 4*u**3 - 4*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7174897?\nAnswer: 307, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74308?\nAnswer: 2, 13, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-4375)\/70)\/25\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 0)\/4 - 1. Does 1\/19 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15663, 31342, 47037, 62748, 78475, 94218?\n\"Answer: 8*k**2 + 15655*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-1))\/(-3) - -6. Let w(g) = g**2 - 7*g. Let r be w(j). Let z be (-44)\/(-9) - r\/90. Is 6 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021202201 - -11?\nAnswer: -2021202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 2 - -4) + 0. Let h be 3\/6*p\/10. Let k = 14.62 + -14.82. What is the second smallest value in k, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*k + 3*k. Suppose -l = -j + 4*j - 92, -j - 5*l = -12. Let f = k + j. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 16*i + 12*i - 35*i + i**3.\nAnswer: i**3 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.95327321 - -0.1.\nAnswer: -2.85327321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from shsaiissapa.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = -20*q - 180. Let r = 41 - q. Suppose -v + 50 = v - r*h, h - 39 = -v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2095 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -64 in descending order.\nAnswer: 7, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00668987 rounded to 4 decimal places?\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17347 = 104*k - 1005*k + 1129 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = g - 2433 - 2392, -w = g - 965. What are the prime factors of w?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-1728)\/156 - (-20)\/(-1092).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*w - 16*w - 204 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 3*t - 3*t)*(434 + 697 - 506).\nAnswer: 2500*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -128.7 + 119. Let q = u - -9.2. Which is the nearest to 2\/3? (a) q (b) -1\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**10\/j*j*j)**21*j**(25\/4)\/j**(1\/6) assuming j is positive.\nAnswer: j**(3349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 + 100. Find the common denominator of ((-37)\/2)\/(b\/(-48)*-12) and -1\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310 = -5*a - 35*r, -374*a - 8 = -375*a - r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -584 + 584.1. Which is the nearest to 1? (a) 0.3 (b) z (c) -58 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(468) + -3 + 3 + sqrt(468))*-3)**2.\nAnswer: 421201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 18*v - 3 + 14*v + 22*v - 118*v**2 + 2*v**3 + 133*v**2 - 48*v. Calculate n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -148, -195, -244, -295, -348, -403?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 86\/95 + 6 + 340\/(-50). Let k = 1237 - 1233. Let r = -0.3 - -0.2. Put x, 5, r, k in increasing order.\nAnswer: r, x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*(-1*(sqrt(700) - (sqrt(700) + (2 + sqrt(700) - sqrt(700)) + -4) - sqrt(700) - sqrt(700)*-2*-3) + -1))**2.\nAnswer: -1680*sqrt(7) + 308716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/84 and 19\/828.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98101430 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/8)\/(g**(2\/29)*g))**(-8\/5))**4 assuming g is positive.\nAnswer: g**(876\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900540.\nAnswer: 2, 5, 95027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.569 to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 198*313 + (-49 - -63)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21062431 - -122?\nAnswer: -21062306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 903919.9 meters in centimeters?\nAnswer: 90391990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 + 0.42853861271\nAnswer: 5.32853861271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*w = 5*u - 796, 4*w - 86 = u - 102 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 57.49.\nAnswer: 62.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298\/745)\/(-3*(-1)\/(-5)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2177\/434 + -5)\/((-2)\/2). Let z be 2 + (16 + -4)\/(-4). Is j >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1641970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139*f + 239*f**2 - 202*f + 40*f - 516*f + 84*f wrt f.\nAnswer: 478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 26 = -6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24395*s + 24395*s + 1310*s**2 + 527*s**2 to m + d*s + r*s**2 and give r.\nAnswer: 1837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*d + 173*d = -2*h + 17, 2*h + 1 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -7*h**2 - 11877*h - 94936. What is j(-8)?\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -18*o - 3. Let f be c(-1). Let y(u) = -46*u**2 - 15*u + f*u. Let r(m) = m**2. What is y(r(n))?\nAnswer: -46*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7486828 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 148\/27*6\/(-4) and ((-202)\/8)\/(3\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or 1\/590?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 241454051 (base 6) to base 2\nAnswer: 10001011010010010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 34?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (53\/477)\/((-2)\/(-15))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -3\/26*k**4 - 4*k - 27\/13*k**2 + 0 + 1\/130*k**5 + 9\/13*k**3. Solve t(d) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1604 + -2.0604. What is the closest to 1 in -5, a, -2\/25?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/10 + m**4\/4 - 29*m. Let o(j) = 14*j**3 + 22*j**2. What is -44*a(y) + 6*o(y)?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21*k**2. Let i(w) = -27752883*w. Determine l(i(r)).\nAnswer: 16174672811045469*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhhihh. Give prob of picking 1 h and 1 i.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*n - 2508 = 0, -18*t + 4*n = -14*t - 5008. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose 0 = -5*j + u*j. Solve -2*z + j - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-690)\/(-1932))\/((-41)\/(-12) + -3). Factor l*a**2 + 2\/7 - 8\/7*a.\nAnswer: 2*(a - 1)*(3*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 12, -2*d - 2*l + 4*l = 0. Suppose -29*m - 6 = -26*m. What is the units digit of (m\/d)\/((-2)\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 14*o = -210. Let c = 36 - o. Let g be -2 + (-6)\/(-4) + (-3)\/c. Solve g*q - 11 = 2*q - 5*w, 5*q - 4*w = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 6) + (-17)\/(153\/36) - -634. Calculate the highest common factor of h and 1827.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/25)\/(47\/(-235))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/980 and 115\/1372.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523469896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*r*u + 1370*r - 196769*u wrt r?\nAnswer: 11*u + 1370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1043680*a**2 + 33*a - 11949?\nAnswer: 2087360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 8. Suppose -s*h + 24 = -3*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 11*w**2 - 4. Let f(m) = 10*m**2 - 3. Calculate 5*f(g) - 4*n(g).\nAnswer: 6*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from erreerbbrreooreobor. Give prob of sequence ob.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-5 + (-231)\/(-42)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(32\/3)*1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 631, 1259, 1887, 2515, 3143?\n\"Answer: 628*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 43*z**2 - 2*z + 1. Let q be m(1). Let o be 8\/q*((-948)\/72 - -12). Which is the biggest value? (a) 4 (b) o (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6223 (b) 2\/103 (c) -4 (d) 2\/13 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, y: 6}. Give prob of picking 3 y.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 0)*-64*(-20)\/1280.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 11*k. Calculate the least common multiple of l(-10) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 3*v + 10*v - 3 + 8 as n*v + z and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001010201211 - 2?\nAnswer: -102001010201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - 8) + 0 - -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + sqrt(475) + sqrt(475) + sqrt(684)*1)**2.\nAnswer: 42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -15. Let p(c) = c**2 - 2*c. Let q(n) = 18*n**2 - 33*n - 11. Let u(m) = 12*m**2 - 22*m - 7. Let r(i) = -5*q(i) + 8*u(i). Determine z*p(t) + 2*r(t).\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355343661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -195*g**2 - 8403*g - 774 = 0.\nAnswer: -43, -6\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-1)\/(-3) + 98\/60)*(6323 - 6327)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27747 + -27744. Sort -2.5, d, -1\/5, -4 in decreasing order.\nAnswer: d, -1\/5, -2.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -590*f**3 - 434*f**2 + 4*f - 12. Let v(u) = 590*u**3 + 435*u**2 - 3*u + 9. Let g(n) = -4*v(n) - 3*z(n). Find the third derivative of g(b) wrt b.\nAnswer: -3540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42832303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, m: 2}. What is prob of picking 2 y and 1 m?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120184966 rounded to 4 dps?\nAnswer: 0.1202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11 + -11 + 630 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1932294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -16516 smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, 26.67, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 3. Let w be t(3). Let p = -398 + 407. Sort p, w, 4 in decreasing order.\nAnswer: p, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18384, -36759, -55134, -73509, -91884?\nAnswer: -110259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 22 - 2*m - 14 + m**2 to the form n*m**2 + b*m + f and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(2\/13))**47 assuming p is positive.\nAnswer: p**(1316\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2 (c) -3\/20 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 520789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggmgmmggggm?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -254151*w**2 + 96*w - 48. Let v(j) = -26753*j**2 + 10*j - 5. Calculate -5*r(z) + 48*v(z).\nAnswer: -13389*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**7 + 0 + c**2 + 0*c**6 + 1\/12*c**4 + 1\/112*c**8 + 0*c**3 + 0*c + 0*c**5. What is the second derivative of y(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuvv when four letters picked without replacement from dvvuud.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/2*((-2)\/(-4)*-8)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 95, 199, 355, 569, 847, 1195, 1619?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.7 + -3.6. Which is the nearest to f? (a) -0.3 (b) -0.18 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*n + 3 = -2, -3*d = 2*n - 5. Factor -2*u**2 + 1676 - 1676 + 2*u**d.\nAnswer: 2*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(10)\/(sqrt(20)\/sqrt(4)) - (sqrt(128)*-2 + sqrt(128))**2) + ((sqrt(384)*-2)\/(sqrt(24)\/sqrt(2)*-4))**2.\nAnswer: -3*sqrt(2) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -265\/7. Which is the closest to -1? (a) u (b) 4 (c) 0.034\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/9, 4, -0.3246?\nAnswer: -0.3246","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-1\/11))*w*w**2)\/((((w**(-3\/8)*w)\/w)\/w)\/(w*w**(-5)\/w*w)))**(-3\/10) assuming w is positive.\nAnswer: w**(-15\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000110011110010100 (base 2) in base 13?\nAnswer: 226046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 16*t - 20. Let z be u(-17). Let w be 1 + (z - 0) + 2. Suppose 5*d - 127 - 128 = w. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 24, -0.67?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 2. Let k be o(2). Let x = k - -2. Let s be ((-252)\/x)\/(1 + 0). What is the greatest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 + -1. Let j = d - 105.5. Put 0.02, -0.34, j, 0.4 in decreasing order.\nAnswer: j, 0.4, 0.02, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/680 or 0?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/28200 and 181\/25380.\nAnswer: 253800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 105 = 55. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of 2*k**4 + k + 8\/5*k**5 - 16\/3*k**3 - 14*k**2 + 2\/15*k**6 - 8. Solve a(w) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/7 + 9*f\/7 + 30.\nAnswer: -3*(f - 10)*(f + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b**2 - 93*b + 160*b**2 - 33 - 79*b**2.\nAnswer: b**2 - 93*b - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.014913 and 0.2.\nAnswer: -0.0029826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5975462 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97053 is divided by 522.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 3008444?\nAnswer: -3008448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-100)*(-48)\/36)\/((-1)\/(-32))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/441 in -2.63, -2\/3, -2\/9, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21922\/3 or 7307?\nAnswer: 21922\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:34 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 7*t**2 + 8*t + 2. Let y be a(-6). Let g = 2 - y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 60, -2, 59, 1 in increasing order.\nAnswer: -2, -1, 1, 5, 59, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**17))\/i)\/(i**34*i) assuming i is positive.\nAnswer: i**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 303 * -0.5\nAnswer: -151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3407551 by 1.\nAnswer: -3407551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -447 - 60?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443560?\nAnswer: 2, 5, 11, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 - 4*i - 4. Let y be r(6). Solve 0 = 2*g - 0*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885\/3108 - (-27)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - 3*i + i)*(2*i**3 + 2*i**3 - 3*i**3).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8743, 17486, 26229, 34972, 43715, 52458?\n\"Answer: 8743*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.7, -5, -0.5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40*(-6)\/(-144) + (-23)\/(-12))\/((-10)\/(-96))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - -120. Suppose -3*q = 6, -b = 5*q - 579 + s. Let n = b + -277. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11647 divided by 317.\nAnswer: -11647\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(14\/5)*o*o)\/o)\/o)\/o*(o**(-14)\/o)\/o)\/(o*o**(-1\/18)*o**(4\/5)) assuming o is positive.\nAnswer: o**(-287\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -324*w**4 + 17370000*w**3 - 232798529872*w**2 - 206942320000*w - 45987944704.\nAnswer: -4*(w - 26806)**2*(9*w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {w: 1, j: 2, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-338.48959\nAnswer: -169.244795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-10)\/(-8)*128\/160?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16441292 + -16440894.000352. Let j = r - 398. What is j rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 2263*w**4\/12 + 1075*w**3 + 20*w**2 + 2*w. Differentiate u(d) with respect to d.\nAnswer: 4526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 19, -15, -2.6, -0.05, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1242 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 12545?\nAnswer: -12540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 4\/15*d**5 + 0 - 7*d**2 - 1\/3*d**4 - 1\/10*d**6 - 1\/672*d**8 + 0*d**3 + 2\/105*d**7 + 0*d. Factor z(p).\nAnswer: -p*(p - 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1.1 (b) 174 (c) 0.2 (d) 16 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35448 and 47264?\nAnswer: 141792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 - -0.1. Let n = 0.13 + -1.43. Let m = u - n. Which is bigger: m or -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*i**2 + 32\/7 - 34\/7*i.\nAnswer: 2*(i - 16)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-84) + (-4)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2.864 (c) -6 (d) 0.1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 250.77276 milliseconds?\nAnswer: 0.0000004146375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1892536296.\nAnswer: 2, 3, 7, 43, 53, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4293 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1554)\/(-14756) + 195\/2210\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a week in hours?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-18)\/((-162)\/63).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/16*16\/24.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 11*u**7\/70 - u**5\/30 - 13*u**3\/3 + 2*u**2 - 29. Find the third derivative of n(g) wrt g.\nAnswer: 792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 8*b + 64. Let j be x(13). Let n be j\/(1\/(-1086))*(25 - 20). What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7093655?\nAnswer: 5, 997, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 + -64.01. Let p = -0.61 - m. Are 7 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 + 84 = -9*b. What are the prime factors of (-2610)\/(-21) - (-18)\/b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*u + 67554021, 5*n - 35*u + 168885014 = -33*u. What is n rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192\/5 + 38. Let v be (15\/80)\/(9\/12). Sort -5, v, d in descending order.\nAnswer: v, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) -78 (c) -11.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 31*p**3 - 4*p. Does 35 divide c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 48 = 4*m - 19, 20*x = 25*x - 6*m - 99 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -25\/3*v**3 + 0*v**4 + 100*v**2 + 0*v**6 + 0 + 0*v + 0*v**5 + 5\/21*v**7. Differentiate i(j) with respect to j.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-99)\/1386)\/((-2)\/(-4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -24*h + 8. Let y(f) = -25*f + 9. Let k be (1\/4)\/((-9)\/60) + 1222\/(-282). Give k*g(l) + 5*y(l).\nAnswer: 19*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + 13*g**3 - 7*g**3 + 0*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*w - 13 = 9*r + 37, 2*r + 1434 = 2*w + 1424 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.3, 8, 18\/415, -1 in ascending order.\nAnswer: -15, -1, -0.3, 18\/415, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + (-2 - -2) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*l = 28, 0 = -2*l - 6 - 0. Let n = -40 + m. Solve n*i = 16 - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 1. Let v(c) = -2*c + 6. Give -v(f) - 3*x(f).\nAnswer: 5*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 6:05 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -4*l, -3*l = 3*b + 2*b - 26. Let y(a) = 5*a - 3. Determine y(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -1) + -185 + 180 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7997234550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124295 is divided by 24195?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m - 7. Let k(g) = -g + 1. What is the units digit of k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7155460.8 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 332 + -327. Let f = -3 - -3.1. What is the closest to 0.2 in f, k, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4784 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*p = -386*p + 25. Solve p*t + 18 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + (-266)\/152. Which is smaller: 67 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, 24, 0.138, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21643\/4510 - 1\/902. Which is bigger: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 20*g**3 + 4*g**2.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 24) + (-9 - (0 + (-3 - -2)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/25)\/(13665\/(-3644000))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c + 13. Calculate x(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 33 - 19 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 32 + 9*o**2 - 2*o + 33. Suppose 10 = m + 2*w, -w = m - 6*w + 25. Let d = m - -1. What is k(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007012028819 to 5 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*l - 2 = -4*i, 4*i + 4*l = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3 = -l, l + 8*f - 12*f + 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (17 - (34 + -19) - (11 + -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -799, -2\/7, -4, -0.06 in increasing order.\nAnswer: -799, -4, -2\/7, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23715701.\nAnswer: 337, 70373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 6*j - 100. Let y be a(12). What is the lowest common multiple of 15 and 6\/(-26) - (-15660)\/y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 36*z + 15*z + 14*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 40 = -97. Let w = -8 - f. Let y = w - -42. 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: Convert 11212010111 (base 3) to base 10.\nAnswer: 95593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 415*n - 412*n + 14814, 2*o + n - 9879 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3222821?\nAnswer: 7, 460403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 6335.\nAnswer: -6335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*s = -98 - 250 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168280391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c + 6. What is q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vh when two letters picked without replacement from {c: 7, g: 1, z: 2, v: 1, h: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*y - 2*y + 7, 0 = -5*f + 3*y + 23. Suppose 0 = 4*x - u - u - 56, 3*x - 52 = f*u. Calculate the lowest common multiple of 18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 + 1729\/12. Let d = 0.04 + -1.04. Which is the nearest to d? (a) -4 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 = 3. Let h(k) = 5*k + f - k**2 - 1 - 6. Let a be h(3). Solve 2*y + 3*g - 4 + 2 = 0, 19 = -a*y + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, 4, -0.4, 1\/7, -16, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 229, 230, 231, 232, 233, 234?\n\"Answer: s + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - 63*q**2 - 36*q + 40. Let w be r(-31). Solve 0 = -7*f - w + 174 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 6059309842676?\nAnswer: 6059309842675.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26083 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -98?\nAnswer: 5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2223*g + 4960*g + 11391*g + 3965*g + 18398*g to u + a*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {c: 5, l: 4, b: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 (base 8) in base 15?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 1, 0, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2309618\/387 - 5968. Let n = 217\/387 - s. Calculate the common denominator of (-145)\/(1\/(2\/12)) and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 5:17 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 793 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220*n**5 + 10*n**2 - 12 wrt n?\nAnswer: 13200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -8.055 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/7 - 4688*k**3\/7 + 26333724*k**2\/7 - 22215126240*k\/7 - 22241464650\/7 = 0?\nAnswer: -5253, -1, 1455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 0*c)*(-4*c - 2*c + 5*c) + 0 + 0 + 3*c**2 + (-2 + 2 + 1)*(4*c**2 + 3*c**2 - 5*c**2) - 2*c**2 + 5*c**2 - 2*c**2 + 52*c**2 - 89*c**2 + 194*c**2.\nAnswer: 164*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32 + -c8d309?\nAnswer: -c8d33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 2. Let v(j) be the third derivative of 0*j**6 + 0*j + 0*j**o - 1\/630*j**7 + 0 + j**2 + 0*j**4 + 1\/180*j**5. Factor v(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18984 and 672?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h - 32 = -2*l, -l + 5*h = 16. Solve -5*v = -l*r - 33, 2*v + 3*v = -r + 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47\/53, -8, -5 in decreasing order.\nAnswer: 47\/53, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*3\/2 - 4. Solve k*u + 0*u + 4*m - 20 = 0, -3*u - 5*m + 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-65)\/75 + 1*2\/10. What is the nearest to 0.1 in -0.3, j, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 + -3. What is the second biggest value in 11, -3, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 2*x + x + (x - x + x)*(4 - 8 - 2) + (x - 2*x - x)*(-1 + 4 - 2))*(2*x + 0*x - x)*(-x - x - 7*x) as s + u*x**3 + i*x**2 + c*x and give u.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 3:53 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 11\/4, 0 in increasing order.\nAnswer: -3, 0, 11\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2332 - 1259. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 3*s + 2 = 12*y, 0 = -3*y - 4*s + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*p + 81, 3*u - 4*p = u + 74. Let a(n) = n**2 + 5*n + 4. Let b be a(-4). Suppose 0 = -4*j + 3*l + u, -3*l - 27 + b = -2*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 178*x**2 + 7. Let h(c) = 89*c**2 + 3. Determine -4*d(u) + 9*h(u).\nAnswer: 89*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2773408 to the power of 1\/2, to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, y: 14}. Give prob of picking 2 i.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16468 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 12*y + 2\/3*y**2 + 64\/3 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 2*d - 1. Suppose m - 3*a + 80 = 6*m, -80 = -5*m - 2*a. Let j = -23 + m. Let l = -4 + 7. Let f(b) = 3*b**2 + 5*b - 3. Give j*c(z) + l*f(z).\nAnswer: 2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/84)\/((-63)\/(-168)*-6*30\/9)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 - -41?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/432938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8706206 to the nearest integer?\nAnswer: 2951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 798720 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 425, 557, 707, 881, 1085, 1325, 1607?\nAnswer: 1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - 2178*y**3 - 3901*y.\nAnswer: -12*y**2 - 13068*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3110 and 46721530.\nAnswer: 3110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 96 = s - 335, 4*s = 4*f + 1756. Suppose -s = -6*q + q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ararrpaaarpaarapapar. Give prob of sequence prr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/24 - (-4)\/6. Suppose -l*h - 4 = 8. Let y(b) be the second derivative of -b**5\/20 - b**4\/6 + b**3\/3 + b**2\/2 - b. Determine y(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w + 11 = -83*w - 2*g, g = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 17*v - 40. Suppose 3*u + 3*g - 30 = 0, g = -v*u + 33 - 8. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30100 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 28196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/8)*j\/(j*j**(-4)*j))**(6\/29)*(j**(4\/3)\/((j\/(j\/(j\/(j*j**(3\/4)*j*j))))\/j*j))**32 assuming j is positive.\nAnswer: j**(45769\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 + v**4 - 3*v**4 + (6*v - 6*v + 5*v**3)*(-4 + 4 + v) + 3*v - 3*v + 2*v**4 to b*v + h*v**3 + m*v**2 + r*v**4 + k and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72694151 to the nearest integer?\nAnswer: 8526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-3) + 0 + (-10 + (7 - -15) - 43)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from yycyyyyyyycyycyycyy?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5 = -j, -j + 9 = -5*z + 4. Sort 46, -2, -4, z in ascending order.\nAnswer: -4, -2, z, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16829050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.9 + -10.9. Which is the fourth smallest value? (a) l (b) 2 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k + 50. Let w be r(-5). Solve 3 = -8*v + w*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.4, 5, 65, -63, -3?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 862*h + 10696. Determine z(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -7)\/((-3)\/10). Suppose -5*c = -z*c - 155. Let b = 35 + c. Solve 3 = -b*l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*((-104)\/2)\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + (-17 - (4 - 32 - -9)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 230 = -212, -2*u - 27 = -5*t. Sort t, 934, -3.\nAnswer: -3, t, 934","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.70403 + 28.7. Round o to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*t + 759 + 992 + 727 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*z - 33004 - 7*z + 66010 - 33003)*(2 - 3 + 4).\nAnswer: -141*z + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -0.143 (c) -0.1 (d) -27 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 270*l - 2684. Give g(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 129 + 0*r - 260 + 131.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 264.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-1 - -5) - -7) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 30. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 22*j. Let l(b) = -6*b**2 - 153*b. Let o(h) = -4*l(h) + 27*n(h). Let p(r) = 2*r. Calculate p(o(u)).\nAnswer: -6*u**2 + 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-6\/7)*(x*x**2)**(-1\/20) assuming x is positive.\nAnswer: x**(99\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z - 25. Suppose 0 = -z*u + 2*u. Suppose -2*f - n + 107 - 20 = u, 5*f - 250 = 4*n. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 4*f - 3.\nAnswer: -(f - 3)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -11 (b) 1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 2. Let j be h(1). Calculate the greatest common factor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34983*c**4*f**2 - 18215*c*f**2 - 2*f**2 wrt c?\nAnswer: -419796*c**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 12 - 0. Suppose 0 = 2*p - 5*t - 16, -2 = -l*t + 4*t. Suppose -3*i + 37 = 2*h, 0 = 4*h - p*i + 5*i - 62. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 4 + 0 + 8*a + 23*a + 8*a - 50*a.\nAnswer: -2*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:25 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-1148)\/98)\/(6 - (-144)\/(-21)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45149\/10 + 4515. Calculate the common denominator of 41\/252 and b.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, 0.2, 2\/7, -2.88 in increasing order.\nAnswer: -2.88, 2\/27, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c947c1 + 3?\nAnswer: -c947bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 72 = -4*h + 7*l, l - 1312 + 1303 = 3*h + 2*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/70*(-10)\/4. Let t be 1 - 1\/(-5) - 1. Let c be (-148)\/32 - (7854\/336 + -23). Put l, -5\/4, c, t in descending order.\nAnswer: t, l, -5\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-1)\/6). Suppose 5*z = 5, 4*z + 6 - 2 = 2*p. Find the second derivative of -4*y + 5 - 5 + p*y**u wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1175*t + 193*t - 62831 + 59457 = 104698 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394560 and 114420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/36)\/((-4)\/(-18)). Suppose -v*d = -6 - 50. Let b be (2 - -1) + (d\/8 - 4). Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110001110 (base 2) to base 9\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566950865 to the power of 1\/2, to the nearest integer?\nAnswer: 39585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -31141212 divided by 879?\nAnswer: -35428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**6 - 55*h**3\/3 - 13*h**2\/2 + 10*h - 1120. Find the second derivative of l(v) wrt v.\nAnswer: -120*v**3 - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*o + 9, -x = -o - 5*x + 3. Suppose -309 = -3*f + o*h, -538 + 47 = -5*f - 3*h. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3351767 (base 8) in base 15?\nAnswer: -12d7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -52, -49, -46, -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(320)*5)\/sqrt(10).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226, -873, -1952, -3463, -5406, -7781, -10588?\nAnswer: -13827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ongntfkogoonokogog. Give prob of sequence nk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*k - 7*k - 52, -k - g - 12 = 0. Is k greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 21 = -s. Calculate the lowest common multiple of (2 - -36)*s\/(-4) + 2 and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**5 - 135357*k**4 - 21*k + 12702?\nAnswer: -20*k**3 - 1624284*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3*r + 7 + 5*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 2. Let i = -43209\/7 + 6173. Which is the third smallest value? (a) -0.5 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = -2*b + 3*i + 554, -8 = 4*i. Suppose -294 = -3*p + b. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*f + 38*f - 1006. Let l = 649 - f. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 59 = -5*l + l + 47, -2*l = -5*o + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7789 + 4866 = -14*h - 4309 for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.641 + 0.001. Let w = 119.86 - 120.5. Let l = x - w. Do l and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165 - 12 + 16094*j - 153 in the form s*j + q and give s.\nAnswer: 16094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 288*x**2 - 57*x + 57. Let b(a) = -35*a**2 + 7*a - 7. Let d(j) = 33*b(j) + 4*r(j). Give d(-4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 956 - 974 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 0*k**3 + 15*k**3 + 5*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 277437*m - 63927864.\nAnswer: -3*(m - 92248)*(m - 231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37335*c*n - 242919*c - 6*n wrt n.\nAnswer: 37335*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/4 + 14*r**3\/3 - 17*r**2\/2 - 20*r - 148. Determine l(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:29 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -2*j + 3*f, -2*f = -5*j + 17. Suppose 0 = n + 3 - 2. Sort -2, j, n, -3 in decreasing order.\nAnswer: j, n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*w**4 + 21*w**4 - 77*w**3 - 1467*w**2 + 13*w**4 - 59*w**4 + 18*w**4 wrt w.\nAnswer: 144*w - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22495.9991927 + -22496. What is t rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/((-27)\/21) + 8. Solve -5*a = 26 - b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 2}. What is prob of sequence vh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97299949 is divided by 550.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 21*h - 54. Calculate the remainder when 324 is divided by r(8).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23904039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 7*y - 2. Let u be (7 + -10)\/((-2)\/4). What is z(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oez when three letters picked without replacement from zezeeeeeevzooev?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let o(c) = -c**3 + 6*c**2 + 28*c - 7. Let a be o(9). Suppose a*p = p. Sort p, s, -5 in ascending order.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4058768, 4058798, 4058844, 4058906?\n\"Answer: 8*t**2 + 6*t + 4058754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5495*-0.5\nAnswer: -2747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, 1, 5, 1139 in ascending order.\nAnswer: 1, 5, 237, 1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23722223 and 2946860.\nAnswer: 474444460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276584*s**3 + 230957*s**3 - 135731*s**3.\nAnswer: 371810*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 33 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1664927\/106554 + -76\/2537. Let b = 23\/21 - a. What is the third smallest value in b, -4, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 32 + -39 + (-244)\/(-4)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 8, 67 in increasing order.\nAnswer: -3, 2, 8, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -2*b + 109, 4*j - 33 + 77 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246621 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/p)**(-47)\/(p*p\/p**(-1\/5))**8*(p**(1\/15)*p**(-1))**(-4\/23) assuming p is positive.\nAnswer: p**(-22231\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/35 + 4*p**4\/21 - 10*p**3\/21 + 4*p**2\/7 - p. Factor l(y).\nAnswer: -4*(y - 2)*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 35*x**4\/6 - 4*x + 2. Let q(r) = 3*r. Give q(h(y)).\nAnswer: 210*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5 + 8585*x**4 - 477565*x**3 - 503325*x**2 + 972306*x = 0.\nAnswer: -2, 0, 1, 57, 8529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -0.62. Let z = 216 + -215.98. Sort z, 0.4, y.\nAnswer: z, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82485 + 1078?\nAnswer: 83552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/27)\/((-1)\/(-15)). Suppose 3*t - 20 = 4*r + 48, 0 = -o*r + 5*t - 90. Let w be (-1 - -1)\/(-11 - r). Solve w*i + 2*i = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, g: 4, j: 2, f: 1}. What is prob of sequence zzf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-2\/5)))**(6\/17) assuming p is positive.\nAnswer: p**(12\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*a**3 - 183*a**2 + 120*a + 36.\nAnswer: 3*(a - 6)*(a - 1)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from ooojjoooojjj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*k = -93, 4*v - 2*v + k - 37 = 0. Suppose 0 = -2*z + v + 9. Solve 4*c + 2 - z = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48694 rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 5*t**2 + 9*t - 13. Let w be v(5). Suppose -85 = w*c - 37*c. Calculate the remainder when 65 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from nvggxkskv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u - 15 + 147. What is the remainder when (-2 + -7)*u\/(-12) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 5.135668?\nAnswer: -25.67834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 15*g. Let q(h) = h**2 - 3*h. Let v(i) = -5*q(i) - y(i). Let l(o) = 7*o - 145. Give v(l(t)).\nAnswer: -49*t**2 + 2030*t - 21025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29185, -30554, -31923, -33292, -34661?\n\"Answer: -1369*n - 27816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6 - 8*f**3 + 11 + 7 wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 - i + 2. Give n(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:25 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65 + 23871\/(-365))\/(3\/(30\/8))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*y + 2, -204*y + q + 2 = -204*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose 4*m = 4*q - 492, 0*q - 5*q + h*m = -609. Calculate the highest common divisor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.3 (b) 2 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 75, 244, 575, 1122, 1939?\nAnswer: 3080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - 5. Let w = q - -9. Which is the nearest to -2? (a) -0.5 (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b - 5. Let h(w) = -5*w**3 + 2*w**2 + 4*w - 5. Let c be h(1). Let n(u) = u**2 - 21*u - 94. Let k be n(c). Let g(t) = -t + 2. Give k*z(o) + 17*g(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2163436 by 44.\nAnswer: 49169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:35 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4359448935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsxulhb. What is prob of picking 1 x and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.1 + -22. Let r = t - -6.9. Let l = 12 - r. What is the closest to -1 in 3, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2, c + 5*f = -c + 11. Suppose 4*z + 4 = c*z. What is the least common multiple of (z - -25) + 0 + -3 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13393355 by 2678671.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.4 - 52.6. Round a to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(684) + (sqrt(684) + (sqrt(684)*1 - sqrt(684)) + sqrt(684) - sqrt(684)) - (sqrt(684) - (sqrt(684) + 2*sqrt(684) + sqrt(684)))**2*5.\nAnswer: -30781 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -4*y + 5*v, 3*y + 2*v = -33. Put 0.2, y, -1\/2 in descending order.\nAnswer: 0.2, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -65317, -129994, -194031, -257428, -320185, -382302, -443779?\n\"Answer: 320*w**2 - 65637*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -28274795 and 62.\nAnswer: -28274733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.014, 0.12, -2\/1041?\nAnswer: -2\/1041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67209*h + 67178*h + 310 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 - 4*n - 2. Let m be (-2)\/((-3)\/18*-3). Determine d(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-12 + (33 - -1) - -10).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 23*u + 13*u - 19 - 20 = -7*u, 3*u = 5*z + 45 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1\/12))\/c)\/c*c)\/(c**(20\/7)*c))**(9\/5) assuming c is positive.\nAnswer: c**(-951\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4386349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6525 and 1064619?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.1 (b) 1.1 (c) 2\/15 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 283 - 282.971. Let v = r - -0.171. Let a = -2\/5 + 1\/5. What is the closest to v in a, 5, -0.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26297 + 26339. Suppose -3*a - 4 = -5*a. Suppose a*v - 210 = v. What is the highest common factor of v and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(12)*-1*4)\/(-5*(sqrt(150) - (sqrt(150) - sqrt(150)*-1))).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 w when four letters picked without replacement from rboowworowc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 2*v + 4*v. Let a(j) be the first derivative of 3*j**2\/2 - 97. What is a(s(h))?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000233236064 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32830 and 2940.\nAnswer: 196980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.56 + 1.34. Let q = 7 - c. Let n = -12 + 9. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**4 - 18*n**4 - n**2 + 3*n**4 + 4*n**3 + 8*n**4.\nAnswer: n**2*(n + 1)*(5*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*c + 15, 5*c + 71 + 24 = 5*u. Solve 6*n + u = 10*n - 5*g, 5*n = -3*g + 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1362*h + 1358*h = 2*m - 6, -4*h + 26 = -2*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + -1 + sqrt(468) + 1 + 5*(0 + sqrt(468))))**2.\nAnswer: -648*sqrt(13) + 151641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4182 and -53\/123?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 8:22 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -2.054.\nAnswer: 1.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90809 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210001001001112 + 2?\nAnswer: 210001001001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24965 = -18*u + 2285. What is the common denominator of 20\/7 and 18\/112*9744\/u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 12*r**2 - 20*r + 12. Let s be c(10). Is (4\/s)\/((-2)\/(-1398)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3478 + -2441. List the prime factors of i.\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.879906 - 0.88. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3743 divided by -29112.\nAnswer: 3743\/29112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3 = -c. Suppose c*p = -3*u + 12, -u - 8 = -p + 2. What is the remainder when 26 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(6\/(-75))\/((-8)\/10). Let n(c) = c**2 - 7*c + 8. Let j be n(6). Let x be 2 + ((-36)\/7)\/j. What is the third smallest value in x, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(54)\/sqrt(2)*3 - (-2 + sqrt(1323) + 1 + 1))**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11743.28 and -0.2.\nAnswer: 11743.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Suppose 58 = 2*j + 4*n, 3*n = -5*j + h*n + 127. What is the remainder when (-345)\/(-7) + (-2)\/7 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**2*t*y - 155*i**2*y + i*y + 1426*t**2*y with respect to t.\nAnswer: -6*i**2*y + 2852*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 170658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/(-15) - (-9 - -13) - (-43 + 55)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/4)\/(7 + 483\/(-70)). Let v(u) = -2*u. Let o(r) = 4*r. Let i(l) = h*v(l) + 3*o(l). Let y(m) = -m**2 - 35*m. Calculate y(i(j)).\nAnswer: -4*j**2 - 70*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - -5)*3 - 1. Solve 4*f = -k*n - 10, n = 3*f - 2*n + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 divided by -53?\nAnswer: -960\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/3 + 54*d**2 + 331*d\/3 - 164 = 0 for d.\nAnswer: -3, 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 529652207 to the nearest integer?\nAnswer: 23014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7716 is divided by 1810?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -12411271125.6?\nAnswer: 12411271125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.9424 - 11.9. Let o = 2638.7566 - 2639. Let u = o + v. What is u rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.1280184\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -53\/2. Suppose -15*x = -12*x. Are x and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**7\/420 + b**6\/360 - 2*b**4\/3 - 17*b. Let z(m) be the third derivative of l(m). Find the second derivative of z(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -1, 5 in ascending order.\nAnswer: -1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 5. What is the third derivative of -7*u**4 - u**2 - 84*u**k + 84*u**3 wrt u?\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -12, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swvsivsiiiivvi. What is prob of picking 3 s?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -36 + 270403*a + 351026*a + 42. Let q be p(-14). What is q rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95232302 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1900) + -3)**2 - -1*((sqrt(19) - (sqrt(19) + (-2*sqrt(19))**2)) + 5).\nAnswer: 20*sqrt(19) + 1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27074, -53920, -80766?\n\"Answer: -26846*j - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -e97 (base 15) to base 12\nAnswer: -1aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 = -q, q + 2 = 2*v - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.25 - 0.85. Let v = -0.1 - s. Let t = 10 - 15. What is the closest to -1\/3 in v, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -46. What is the remainder when w is divided by -25*(-1 + 3\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - 8 - (8 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*a + 3*a + 7505, 0 = h + 3*a - 1513. Suppose 0 = -6*k + 2*k - h. Find the common denominator of (k\/(-176))\/(2\/4) and 79\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(1\/(-8)). Suppose -n = t - 7. Suppose -3*o + 11 = -s, n*o + 1 = -4*s - s. Solve -o*y - 4*g - 2 = 0, -3*y + 5*g - 5 = -21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 779 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*i + 39*i + 53*i - 68*i - 22)*(2 + 2*i**3 - 2).\nAnswer: -100*i**4 - 44*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 13171 + 70998 = 0. List the prime factors of h.\nAnswer: 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18264 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - r**2 + 2*r**4 + (1 - 1 + r**2)*(2*r**2 - 3*r**2 - 2*r**2) + 108 - 4*r**4 - 108 as z + h*r**4 + y*r**2 + c*r**3 + f*r and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209770\/47 + -4463. Which is the fourth biggest value? (a) -2\/9 (b) -0.3 (c) m (d) 1\/2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-4) + ((-1551)\/(-396) - -13)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -52854 divided by 416\nAnswer: -26427\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3813147 (base 9) to base 5.\nAnswer: 1012404322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + 148\/16. Let u be x\/2 + (-12)\/8. Solve -z + u = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2216862796 to the nearest integer?\nAnswer: 47084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -34 + (3 - (0 - 21 - (98 + -111)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -28*r**2 - 160*r + r**3 - 147*r + 322*r - 85. What are the prime factors of d(28)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 0. Let f be 528\/440 - (14\/120 + 3\/(-12)). Which is the second smallest value? (a) f (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.265 + 33.735. What is the third smallest value in 1\/4, -0.2, i, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6201 in -2, 1, 2, -0.08?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.332 and -0.4?\nAnswer: -4.9328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 211932 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ecba (base 15) in base 2?\nAnswer: -11000100110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s + 1. Let w(j) = -3*j**3 + 5*j**2 + 2*j - 3. Let h(d) = w(d) + 3*z(d). Suppose 0 = -3*f + 3 - 0. What is h(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -37, -164957 in increasing order.\nAnswer: -164957, -37, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 13 + 1 = 4*f, -2*f - 3*n - 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16746 less than -10313334?\nAnswer: -10296588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139.524*-0.101.\nAnswer: 14.091924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 638672.58 microseconds?\nAnswer: 0.00000105600625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12*l - 9. Let o be v(13). Solve j + 2 = -o*a + 14, -3*j + a + 10 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(104\/(-676)*13)*-27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6032, -5911, -5568, -4889, -3760, -2067, 304?\n\"Answer: 19*f**3 - 3*f**2 - 3*f - 6045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -2210?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 480 + -475. Suppose -17*x + 36 = -15*x - 2*j, 0 = r*j + 10. Solve 6*o + x = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 8*r - 2. Calculate the remainder when 306 is divided by j(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 857880112 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/11 + 30*t**2\/11 + 1604*t\/11 - 3312\/11 = 0 for t.\nAnswer: -23, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:27 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/13)\/(((-21)\/49)\/1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 258*j. Let k(y) = 1601*y**2. What is v(k(p))?\nAnswer: 413058*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4) - (-1)\/2*-9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302303011 + -2203?\nAnswer: 302300202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31800 and 41472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178692371.\nAnswer: 2178692371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 k, and 1 l when four letters picked without replacement from wlwlkkwkkklwwkkklkk.\nAnswer: 75\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173887 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 910 = 9*u. List the prime factors of u.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 3*p = -4*j - 48, 0 = -4*j + 2*p + 329 - 265 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + 4 + -2 + 1 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-8 + 10) - ((-2 - 2) + -2018) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 7*v - v**2. Let a(z) = -8*z**2. Let u(t) = -2*t**2. Let m(i) = -2*a(i) + 7*u(i). Determine m(c(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14 and 83\/9900.\nAnswer: 69300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2448948 (b) 1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-2))\/2 + -2. Let x be 0*(-1)\/(2\/g). Suppose 36 = 4*b - u, 5*b + 6*u - 2*u - 45 = x. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/375?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {d: 2, x: 1, o: 2, n: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 867 + 599 = 5*o + t, 5*o - 1461 = 4*t. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 111001010?\nAnswer: 111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346482 is divided by 188.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-60)\/8)\/(4100\/656)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*22\/462*3\/(-5). Let p = 1.1 + -0.1. What is the closest to 0.04 in -0.3, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296849680 less than 0.1?\nAnswer: -296849679.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**7\/210 - 329*q**4\/24 - 363*q**3\/2 - 3*q**2 - 14. Find the first derivative of d(t) wrt t.\nAnswer: 4*t**3 - 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7860 divided by -1.\nAnswer: -7860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 190*p**2 - 3*p + 2 - 91*p**2 - 100*p**2. Let j be b(1). Solve 8*u - 11 - 13 = j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742000 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 9521320.\nAnswer: -1904264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57587.1 millennia?\nAnswer: 691045200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7428)\/21 + (-8)\/28. Let u = z - -695. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y + 10. Suppose 0 = 2*u + 3*u - 40. Let l be t(u). Suppose -5*o + 12 = -63. Solve -k - o = l*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 320.96 - 220. Let u = 111 - o. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let z = r - -0.2. Suppose 3*p - 4*s = 4, 8 = 5*p - p - 4*s. What is the second biggest value in z, -1\/2, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5227, -2517, -2 in descending order.\nAnswer: 5227, -2, -2517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 54\/(-6)*(-8)\/6. Let t be -1 - 7\/21*s*-1. Suppose -4*q = 3*c - 8, -2*c + 5*q = -3*c - 1. Solve i - t = c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/60 - q**4\/24 - 2*q**3\/3 + 7*q**2. Let f be i(5). Let y = f + -6. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 90\/(-24) - -4 - (-15)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172979223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -431183, 25?\nAnswer: -431183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 35*a**2 - 95*a + 32. Let g be n(-32). Suppose 34*b - 44*b + 100 = g. Calculate the lowest common multiple of b and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 1. Suppose -5*c + 9 = -1. Let j be ((-3)\/c)\/3 + (-9)\/(-6). Is a(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(2*i**3 - 1 + 1) - 2*i**3 + 0*i**2 + 0*i**2 - 37*i**3 + 110*i**3 + 21*i**3 + 9*i - 2*i**3 - 9*i.\nAnswer: 86*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-6) + 134\/(-120)*-2.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 673 - 669. Put -2\/9, g, -0.061, -0.2 in ascending order.\nAnswer: -2\/9, -0.2, -0.061, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1858972362 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2\/2 + 4*x + 2. Let w be i(0). Let s(o) = 2*o - w*o + o. Give s(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -457.3 - 0.0067.\nAnswer: -457.3067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 73*k + 7*k**2 + 74*k + 8*k**2 as x + i*k**2 + q*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 162?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (49\/(-3))\/((-1)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 119052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 664 divided by -2\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19597 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 + 66*s - 3*s**4 - 24*s - 6*s**5 + 27*s**5 wrt s?\nAnswer: 420*s**3 - 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6728?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g - 59*g - 57*g - 84*g.\nAnswer: -172*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2677bc (base 16) to base 5.\nAnswer: -1121133040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0562 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16*(-5)\/50*235. Let q = -1877\/5 - c. Is q at most -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(10)*6 + (sqrt(132)*-3)\/sqrt(12))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 823 + 19636*x + 12712*x - 410 - 412.\nAnswer: 32348*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4160 + 7197. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:10 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h**2 + 3*h + 1. Suppose 4 = -u - z, 4*u - 5*z - 8 = 3*u. Is o(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668164.6 weeks to minutes.\nAnswer: 6735099168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 155, -32, -40 in decreasing order.\nAnswer: 155, 1, -2, -32, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/80 + 251*u**4\/8 + 63001*u**3\/2 + 2978*u**2. Find y, given that l(y) = 0.\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.531 - 275092.\nAnswer: -275092.531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0355 - -0.5355. Let w = -4.02 - -0.02. Sort c, w, -0.4.\nAnswer: w, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:26 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52\/43 - 251\/172. What is the third smallest value in f, -0.2, 6, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 3*r + 1, 4*q - 3093502*r + 10 = -3093505*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294340 is divided by 70.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8*s = 2*s - 4608. Is s a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5498)\/(12\/36). Let j = 228113\/49482 - y. Find the common denominator of j and 2\/4 - (-275)\/44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 13 + 13. Is 1\/27 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 3*u**3 + 0*u**3)*(2*u - 2*u + u + (-2*u + 0 + 0)*(3 + 0 - 1)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-6)*8\/6. Suppose -z = -3*j - 0*j. Solve 2 = -j*q + 4*f, -2*q + 3*q - 4*f - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -98?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3471 - 1641. Calculate the remainder when n is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109357 is divided by 9629.\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87822540 by -9758060.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**3 + z**2 + z. Suppose 4*p = 2*p - 2. Let m be h(p). Suppose 0 = m*k - 57 + 9. Calculate the remainder when 34 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*6\/(-2) + 1. Suppose 7 = -a*q + 19. Suppose -q*f - 2*f = -10. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3720719.833 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 7*u**2 - 2*u + 13. Let k be g(-7). Let j(r) = 99*r. Let f be j(3). Calculate the highest common factor of f and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 6. Let r(z) = z**2 - 474*z - 33. Calculate n(r(x)).\nAnswer: x**2 - 474*x - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18078 less than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/5)*b)*b)**(3\/19)*b**(-1\/8)*b**(-3) assuming b is positive.\nAnswer: b**(-2399\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 10*a = -4. Solve -4*q = a*c - 8, 2*q - 5*q - 4*c = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555958336 to the nearest one million.\nAnswer: 556000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from ddooddody.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13.2 (b) -0.37 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -21. Suppose v = 3*h - 2*h. Calculate the lowest common multiple of h and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 72 - 9. Calculate the remainder when 81 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 9:52 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3135)\/(-304))\/(9*(-2)\/(-4)) and 21\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 130 = -43*b. Sort 101, 3, 1, b.\nAnswer: 1, b, 3, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.032274809 to 4 dps.\nAnswer: 0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:58 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 330033 (base 6) to base 7\nAnswer: 142260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f - 5*f + 4*f + (0 + 0 - 2*f)*(4 - 2 + 0) - 2*f + 22 - 43 + 25.\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111010 + 100?\nAnswer: 10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*z**2 + 3\/2*z**4 + 0 + 0*z**3 + 0*z = 0. What is z?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/30*7*44\/(-88).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2. Let z(s) = -552 + 552 + 11*s**2. Determine z(d(a)).\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**5\/7 - 247*o**4\/7 - 1832*o**3\/7 - 908*o**2\/7 + 96*o = 0.\nAnswer: -6, -1, 0, 2\/5, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 30.79454.\nAnswer: 29.79454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(88)*-3*-2)\/(sqrt(48)\/sqrt(6)*-6 + (sqrt(24)*4)\/sqrt(3)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 - 11*v + 2. Let k be n(-9). Let j be ((-16)\/(-40))\/(2\/k). Suppose -3*a - 54 = -j*a + 2*q, a - 45 = 5*q. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 30. Give d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 419 - 2670?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 25 = 19*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 853*a**3 - 8*a**2 + 5*a + 4. Let t be g(2). Calculate the highest common factor of 166 and t.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582987460 to the power of 1\/3, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 66 = -109. Let f = c + 10. Let x = f + 74. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202522337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*v. Suppose -v*q = -q - 82. Is q\/4 - (-1)\/(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:40 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37 and 1865403?\nAnswer: 1865366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105\/(-9) - 4\/(-6). Let o = 1 - k. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1298 = -167. Let u = x - 367. Solve 4*n - u = 2*q, n = -3*n + 4*q + 16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 4*b + 2. Let j(i) = 2*i**3 - 3*i**2 - i + 2. Suppose 2 + 2 = 2*k. Let p be j(k). Calculate the lowest common multiple of u(p) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/6)\/((-2)\/6). Let q(u) = 38*u**w + 1860 - 1860. Let r(j) = 2*j**2. What is q(r(n))?\nAnswer: 152*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(4\/11)*b**(2\/5) assuming b is positive.\nAnswer: b**(42\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2, -5\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000047285438 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10440 - -3?\nAnswer: 10443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by -11.\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4292\/13 + 330. Let g = -0.202 - 0.198. Which is the closest to -1\/4? (a) -5 (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21092890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2\/15, -1, -0.1, -37\/310?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2 - m**3 - 3483*m + 3478*m - 3*m**2 - 1. Calculate the least common multiple of s(-3) and 114.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u - u)*(3*u**3 - u**3 - 4*u**3) + 0*u**4 + 2*u**4 - 5*u**4 as j*u**2 + l*u**3 + y + w*u**4 + h*u and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by 148\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -9*p. Let c = p - -1. Let f be (-7)\/12 + c\/(-3). Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14731*l**4 + l**3 - 100589*l**2 wrt l.\nAnswer: -353544*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Find the first derivative of -6*m**4 + 3*m**4 - 1 + j*m**4 - 3 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*g - 18 + 18)*(-2*g**3 + 3*g - 3*g) - 9*g**2 - 3*g**4 + 9*g**2)*(-2 + g + 2) + (1 - 3 + 0)*(-13*g**5 - 6*g + 6*g).\nAnswer: 11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 9:17 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5*(-19 + 9). Solve n*w - 26 = -10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*h**2\/5 - 30696*h + 12528\/5.\nAnswer: 3*(h - 1044)*(49*h - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1895 - -28f?\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.6 take away -1.71?\nAnswer: -54.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2760 - 2749. Solve 0 = f*s - s - 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 7)*(-1 + 28\/16). List the prime factors of (-3)\/d*-2 - (-299 + 5).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151940156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8601\/305 - (1 - -27))\/(155\/25)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867.1034 rounded to the nearest 10?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 8) + -11 - (-168 + 140)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4\/4 + 10*z**3\/3 - 11*z**2\/2 + 14*z + 95. Does 12 divide d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 364686 and 51184?\nAnswer: 2917488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h = -364*y + 64*y + 20*h - 7, 0 = 5*h + 35 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(2) + sqrt(2) + (sqrt(32) - sqrt(96)\/sqrt(3)) + sqrt(2) + sqrt(2)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 277043562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -237 - -246. Solve u*m + 8 = -37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 2. Let y(a) be the first derivative of 1\/2*a**2 + m*a + 2 + 0*a**5 + 1\/6*a**6 + 0*a**3 + 0*a**4. What is the second derivative of y(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 10 - 0. Suppose 1 + 0 = -h, -g*h = 5*v - 518. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1143 and 1103496777.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h - 2 + 2)*(4 - 5 + 0) - 46 - 3*h + 46)*(4 + h - 4)*((0 + 0 + h)*(1 + 2 - 4) - 3*h + 0*h + h + 8 - 4*h - 8).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20634711?\nAnswer: 3, 43, 103, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 75*a + 1. What is the hundreds digit of w(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/296 and 31\/2.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 602*i**2 - 5*i**3 + 4 + 694*i**2 - 4 - 961*i**2 = 0.\nAnswer: 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307602 less than 3998835\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9109, 9111, 9113, 9115, 9117?\nAnswer: 9119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*u + 20*j, 23*j + 4 = -2*u + 25*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-852.078\nAnswer: -170.4156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigngnnngngnniyyn. Give prob of picking 1 n, 2 i, and 1 g.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3511421*g**2. Let m(u) = -5*u. What is w(m(c))?\nAnswer: 87785525*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/17)*i*i\/(i*i**(-6\/5))*i*i*(i\/i**(-4\/5))\/((i**(1\/10)\/i*i)\/i) assuming i is positive.\nAnswer: i**(1323\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12150 - 1040?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 150441 = 34*o + 5*v, -225714 = -3*o - 3*v. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + f - 1. Suppose -112 - 80 = -4*r. Suppose 25*w + r = 28*w. Suppose 22 = -w*u - 26. Calculate q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 26. Calculate t(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/40, 0.3, -7\/9, -3, 5, -0.1?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 958 + -960. What is the closest to -5 in u, 0.02, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3 + 3 - 2)*(5 - 2*c - 3 + 1).\nAnswer: 4*c**2 - 14*c + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3 - 11*h - 2 + 6 - 2*h**2. Let r be y(-5). Is (4 + -403)*(-4)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36437 to 2 decimal places.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 138 - 184 = 20 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -996375*f**2*x**4 + 129*f**2*x**2 + 2*f**2 - 2*f*x**4 + 12*f*x + 4*x**2 + 5*x wrt x?\nAnswer: -23913000*f**2*x - 48*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:50 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + -7.5. Let k = s - -13. Put 1\/4, -0.09, k in descending order.\nAnswer: 1\/4, k, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r. Let j be (-10)\/(-4) + -2 + 18\/12. Let v(m) = j + 15*m - 13*m - 2. Determine v(s(k)).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.69\nAnswer: 0.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4839127542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 0*u**2 + 1 - 2\/3*u**3 + 0*u. Let r(n) be the first derivative of -n**3\/3 + 2. Give r(t(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**3 - 343*n**2 - 48*n + 518. Calculate the lowest common multiple of 600 and c(-57).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*w + 23 = w, -3*w = 2*j + 22. What is the smallest value in 4, j, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 40. Suppose 360*t = 381*t - 441. Calculate the remainder when g(0) is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55403 is divided by 250?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(60)\/(sqrt(192) - -4*sqrt(192)))\/(-4*((sqrt(10) - sqrt(160)*3) + sqrt(10))).\nAnswer: -5 + sqrt(2)\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 6. Let p be y(5). Let z(j) = -3*j**2 - 2*j - 3. Let f = -16 + 34. Let t(d) = -13*d**2 - 9*d - 13. Determine f*z(a) + p*t(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z - 3. Let l be r(4). Suppose 2*y + 9 = -l*p - 7, -5*p + 4*y = -2. Is p at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -5*z**3\/6 + 44*z**2 + 45*z + 1. Let f be g(17). Solve 3*y = 5*d - 2*y + 5, -3*d - f*y + 27 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/23 (b) -6.3 (c) 4 (d) -1.8339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {s: 1, y: 1, j: 10, h: 1, m: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.056 + 0.556. What is the fourth biggest value in 2, -3, 4, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j = 4*w - 22, 4*j - w - 89 = 0. Suppose -1352 = -3*l + 463. Calculate the remainder when j is divided by (-3 - (-17)\/5)\/(22\/l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 26*y - 24. Let m be r(-15). Let u = 79 + m. Let i(l) = l**3 + 4*l**2 - 7*l - 5. Determine i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4344 = 29*m. Let y be (-1)\/2*(-5798)\/(-16). Let k = y + m. Find the common denominator of k and 19\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19185, -77576, -174895, -311142, -486317, -700420?\n\"Answer: -19464*s**2 + s + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyjjjy. Give prob of picking 2 y and 2 j.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n - n - 5*n)*(-6072 + 9503 + 6470 + 3340).\nAnswer: -13241*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 39*x + 156. Give k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 2:00 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t = 32*t + 12, 208 = 4*n - 4*t. What is the greatest common divisor of 14 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9140.6 - -0.303.\nAnswer: 9140.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/(-15) - (-6)\/15. Let t(h) = -h**2 + h - 1. Let r(m) = -2*m**3 - 14*m**2 - 4*m - 10. Let b(z) = g*t(z) + r(z). Determine i, given that b(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m**3*z**3 + 12*m**3*z + 3*m - 551*z**3 with respect to m.\nAnswer: -12*m**2*z**3 + 36*m**2*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*w = 0, 47*r = 48*r - 5*w + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320.321 weeks in seconds?\nAnswer: 798530140.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3113 - 1874. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*k**3*q**3 - 11*k**3*q + 38484*k**3 + 18*k**2*q**3 - k**2*q**2 - 1690*k**2*q - 8*k*q**2 - 2*k*q - 14*q wrt k.\nAnswer: -420*q**3 - 66*q + 230904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*b + 2*r - 5 = 122*b + 5*r, -12*b - 99*r + 95*r = -80 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by (-13)\/((-13)\/42) + 9\/(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 25. Let g(k) = 17*k**3 - 27*k**2 + 2*k + 2. Let y(c) = -c**3 + c**2 + c + 1. Let t(i) = o*y(i) - g(i). What is the third derivative of t(r) wrt r?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = 5*w - n, -5*n = 5*w + 10. Let g be (4\/(-6))\/(w\/(-3)). Let a be 0\/g*2\/4. Solve a = -0*c - c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1557)\/2595)\/((-2)\/10*-7).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -62*h**3 - 81*h**2 - 784*h + 35. List the prime factors of r(-11).\nAnswer: 2, 5, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Let o be -1 - (-44*1)\/m. Suppose 5*c + 1 = o. Solve 0 = u + 8 - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-10) + (-78)\/130.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let i(w) = w - 7. Let o be i(6). Let x = s - o. Solve -4*c - 6 - 12 = 5*g, -4*g - 2*c - 12 = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -75.6. Let z = 77.1 + t. Let h = 25.5 - 25.4. Which is the nearest to h? (a) z (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*q - 4, -q + 5 = 5*t + 4*q. Suppose 2*c - 4 = 0, 4*c = 2*b - 0*c + 8. Solve -2\/3*m**t + 0*m + b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 558740.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guugu. What is prob of sequence uuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 42 = -3. What is the greatest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 2. Let y(s) = m + 0 - 3*s**2 + 7*s**2. Let f be 910\/(-84) - (-30)\/36 - -11. Give y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -66. Calculate the least common multiple of b and (-138)\/(-7) - (-4)\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*(4 - -6). Suppose d + w = -d. Let r(g) = g - 4. Give r(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2415311017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/21 and -26\/237?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118337 divided by -5.\nAnswer: -118337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3566, -14268, -32098, -57050, -89118, -128296?\n\"Answer: q**3 - 3570*q**2 + q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 36\/65, -1\/3, 1\/14 in decreasing order.\nAnswer: 4, 36\/65, 1\/14, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2, -72 in descending order.\nAnswer: -2, -26, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-162*o + 162*o - 30*o**2)*((-4 + 0 + 0)*(-3 - 1 + 5)*(-10*o + 0*o - o) - 2*o + 0 + 0).\nAnswer: -1260*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 317*h**4*w**2 + 2*h**4 - 4*h**3*v*w**2 + 2*h**2*v*w**2 + 117*h**2*v - 2*v*w**2 wrt h.\nAnswer: 7608*h*w**2 + 48*h - 24*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*r - 3994 - 20063 = 152*r for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.7 - 14.8. Let a = 5.3 + v. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(((-1)\/(-6))\/1). Let j = 70 - b. What is the remainder when j is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18372.50289 milliseconds to weeks.\nAnswer: 0.000030377815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 3*x + 4*x)*(-3 + 8 + 16) + 2*x + x - 2*x + (-4*x - 2*x + 4*x)*(1 - 2 + 0) - 22*x - x + 4*x)*(8*x - 43*x**4 + 6*x + 42*x**4).\nAnswer: -26*x**5 + 364*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/2 + 6*s. Let c be (-171)\/(-6)*4\/3. Let j be 2\/7 - c\/(-14). Calculate h(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 63. Calculate the remainder when 84 is divided by 26 - -3 - 4\/n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2334 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m + 20. Let x(f) = 30*f**2 - 8*f + 2. Let p be x(m). Let k = p + -998. Round k to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*i - 20 = 0, -2*j + i = 2*j + 16. Let y(b) = b**2 - 5*b + 2. What is the remainder when y(j) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-6)*(-3)\/1. Let s = 9 + -22. Let c = b + s. Calculate the remainder when 16 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40432 and 14896.\nAnswer: 283024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113345164087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let a be z(-1). Suppose 3 = -3*v - a. Put 5, -5, v in decreasing order.\nAnswer: 5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus -201318631.2?\nAnswer: -201318610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843776 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(0 + (-6 - -8) + -1). Solve t - u - w*u = -11, -6 = -3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 844 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810816824.\nAnswer: 2, 103, 271, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 6*r**2 + 30*r - 13. Let b be h(8). Suppose -3*j + 4*f + 0*f = -b, 0 = -4*j + 2*f + 132. Solve 2*s + j = -9*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 164, 230, 280, 308, 308?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0 + 0*f + 1\/12*f**4 + 15\/2*f**3 - 38*f**2. Let z be a(-24). Which is bigger: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161011 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + 9. Let x = -195 - -209. Calculate the highest common factor of x and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 2, -32, -72, -118, -170?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.9. Let x be (24\/20)\/(3\/10). Suppose d = x*l + 6, -4*d + 3 = -5*l + 1. Is p smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -7.3. Let q = 1.1 - z. Let w = -0.22 - 0.08. Which is the third smallest value? (a) w (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((5*sqrt(612)*-1 - sqrt(612)) + 6*(sqrt(612) - (sqrt(612) + 0 + sqrt(612) - sqrt(612))) - (-4 + 2*sqrt(612) + 3)) + -3)**2.\nAnswer: 288*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6686*n + 287471. Determine u(-43).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 5 - (21 - 21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12240 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ktgtgkogtmccggt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:02 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213691.\nAnswer: 97, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 5*m - 847. Suppose q + m = 2*t, 0*t - 3*q - 96 = -t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + 3 + 1 - (5 + sqrt(242)*-4))**2.\nAnswer: -110*sqrt(2) + 6051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -19\/10 (c) 108\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (5 - ((-3 - -4) + -5)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-152)\/(-40))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 2*b - 2, -3*b + 2 = 5*f. Let o = 6 - f. Solve 4*k + o = -15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203562 divided by 9\nAnswer: -22618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxzwwx. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2796 + 1494. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - x - 95 = 4*n, -5*n + 95 = 4*x. Let c(z) = 1 - n*z**3 + 0 + 0 + 2*z. Let b be c(-1). What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571, 580, 603, 646, 715, 816, 955, 1138?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 3*a - 88 = 0. Solve 2*b = -2*l - 0*b + a, -4*l = b - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30432*x - 159460 = 32308*x for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + u = 15, -u + 35 = 31 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, m: 3, g: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38852244421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l**3 + 6*l**2 + 8*l + 4. Let v(b) = -5*b**3 - 7*b**2 - 8*b - 5. Let w(r) = -4*t(r) - 5*v(r). What is the units digit of w(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - s = -2, 254*y = 253*y - s - 6. Factor -2\/7 + 1\/7*l**3 + 0*l**y - 3\/7*l.\nAnswer: (l - 2)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 4:25 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -9*j**3 - 5*j**2 - 6*j + 13. Let x(c) = c**3 + c**2 + c - 2. What is -f(m) - 6*x(m)?\nAnswer: 3*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -759 + 774.53. Round y to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -186. Suppose -w + 5*d + 42 = 0, 5*d = 3*w + d - c. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x + 2*z = 20*x - 5, 2*x + 4*z = -6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191\/10 + 553\/30. Let d = 6.7 + -7. Which is the closest to -1\/2? (a) k (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1112ab4?\nAnswer: -1112ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 u when three letters picked without replacement from {u: 2, n: 16}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 187*x**2 - 144164*x - 10015. What is m(771)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let r(b) be the second derivative of -5*b**3\/6 - 3*b**2 + 18*b. What is r(j(p))?\nAnswer: 5*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.5 plus -4.1?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 8 + 10 - 4*s - 3*s**3 + 10*s**3 + s + 6*s**2. Let l(i) = -6*i**3 - 5*i**2 + i - 2. Calculate -6*l(w) - 5*r(w).\nAnswer: w**3 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 964238944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 130)*(0 - 4\/12). What is the second derivative of 18*m**2 + 30*m**2 - u*m**2 + 40*m wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 41\/(-4)*1 - -11. Which is the closest to 11? (a) 0.4 (b) 0.1 (c) 9 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*k + 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*-2*sqrt(7344))\/(1*sqrt(243) + sqrt(3) - (sqrt(192) + (sqrt(192) - (sqrt(192) + -3*sqrt(192) - sqrt(192))) + sqrt(3))).\nAnswer: -720*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 105339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9906 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909770 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -491 - -348. Let u = -116 - x. What is the remainder when u is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 - 47. Let x(r) = -15*r**2 + 26*r**2 + c*r - 11*r**2 + 4*r**3. Suppose -13*w - 51 = -16*w. Let g(a) = -11*a**3 - 17*a. Calculate w*x(n) + 6*g(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:12 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 8, i: 3, p: 3, v: 2}. What is prob of sequence rivi?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdbntbtwbwbjtbn. Give prob of picking 1 t and 1 n.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 1. Let r be l(0). Which is greater: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -22. Suppose l + 3*l + j = 0. Let t(r) = -r**3 - 2*r**2 + r. Give t(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -335751, -671487, -1007225, -1342965?\n\"Answer: -n**2 - 335733*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 41 - -40 - ((-1 - 4) + 2)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**3 + 36115*o**2 - 98084*o - 30972.\nAnswer: (o - 3)*(o + 5162)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) -2\/21 (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328\/(-574) - 3354\/(-14).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 + 95 = -18*b. Solve -6*y + b - 41 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 920 - 929. Let l = -9 + 9. Is t greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/5*(4 + -6))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*q**2 - 15876*a*q**3 + 2*q**3 + 464 wrt a?\nAnswer: 4*a*q**2 - 15876*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34429?\nAnswer: 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359 + -221. Suppose -4*h + m = -2*h. Let p = h + -2. What is the remainder when p is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.411507 millilitres in litres?\nAnswer: 0.003411507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 3*x - 4. Let i be r(4). Let d be (i + (-3)\/6)*-2. Suppose -3*t - 2 - d = 0, -24 = -o + t. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from {n: 4, r: 2, w: 4, b: 2, j: 1, z: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 183.5?\nAnswer: -172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t**(6\/5)\/t*t))\/t))\/t)**34\/(t**(-3)*t)**(1\/51) assuming t is positive.\nAnswer: t**(10414\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Let r(p) = -p**3 - 4*p**2 - 4*p - 2. Let g be 69\/21 + 4\/(-14). Let t(f) = -5*f**2 + 0*f - f**g - 4*f + 0*f - f - 3. Determine c*r(q) - 4*t(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -749.8 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9743 (base 11) in base 15?\nAnswer: 3c33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4*t + 7. Let j(d) = d + 2. Let k(g) = 22*j(g) - 6*q(g). Let u be k(3). Let n(b) = 4*b**2 + 0*b**3 + b**3 - 6 - 3*b + 1. Determine n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y + 2. Suppose -2*n + 1 = -3. Let z(d) = -13*d + 6. Let o = 37 - 23. Suppose 2*f - o = 4*f. What is f*x(b) + n*z(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j + 5. Let q = 35 - 19. Calculate the remainder when q is divided by 9 + 0*j\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j**3 + 7*j**2 + 2*j + 7. Let b(t) be the third derivative of -3*t**6\/40 + t**5\/10 + t**4\/12 + t**3 - 598*t**2. Determine -7*b(i) + 6*m(i).\nAnswer: 9*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6601473*t**2 - 2*t - 5066552?\nAnswer: 13202946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*w - 0*w. Let y be ((-6)\/(-9))\/(w\/(-6)). Solve 0*x + x = -y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)\/(-1 - 0). Let y = -649\/6 + 108. What is the closest to y in b, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.69 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*g + 57*g - 35*g - 1798 = 0 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1447 or -1533?\nAnswer: -1533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 11*l + 10. Let k be j(7). Let v(n) = -8*n + 357. Let z be v(-29). What is the greatest common divisor of z and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b + 7380 - 7380.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 0.1 (c) -0.3 (d) -74\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/27108 and -9\/5020?\nAnswer: 135540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 23*d - 3. Let s be v(5). List the prime factors of (s\/21)\/(2\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 5. Let u = y + 1. Let p = 26 - 25. What is the greatest common factor of p and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24860712 by 64074.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 6006*b**4 - 14146*b**2.\nAnswer: 240*b**3 - 144144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 0, 18873, 1665?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, z: 7}. Give prob of picking 1 i and 2 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i. Let k(d) be the third derivative of 5*d**5\/2 - 173*d**2. Calculate w(k(s)).\nAnswer: 450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 4:34 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (37 + -39 + 37\/10 + 1).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768*x - 17665 = -770*x - l, -2*l = -3*x + 26494. Is x a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-16)\/24). Let r = 5 - -7. Let z = r - 17. Which is the nearest to -2\/3? (a) n (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -891596 (base 13) to base 15\nAnswer: -43c308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:55 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - 96*i + 16*i.\nAnswer: -67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) + -5)**2*-1.\nAnswer: -279 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -40*m - 81. What is the closest to 2.5 in m, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-104)\/(-48))\/13*6)\/(10\/1).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1893 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * 31143.5.\nAnswer: 1370314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -948*l + 257. Does 47 divide u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25884 and 126?\nAnswer: 181188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -11*c - 2*x + 3, x = -2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -108 - -101. Let b be ((-3)\/(-5))\/((-3)\/((-15)\/a)). What is the second biggest value in -33\/7, b, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -216, -487, -866?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 590120237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 650 - 106. Suppose 19*k - 20*k + 273 = 2*j, 3*j = -2*k + p. List the prime factors of k.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**3 - 29*f**2 - 45*f + 232. What is c(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*o - 6 - 33, 46 = 2*v - 4*o. Let k = v - 15. Let c = -1.233 - -0.233. What is the second biggest value in c, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**3 - k**2 + 2*k - 2. Let n be c(-3). Let h = 572 - n. What is the tens digit of (h\/3)\/((25\/(-15))\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8834*r**3*z**3 - 3*r**3*z**2 - 23*r**3*z - r**2 - r*z**2 - 10*r - 2*z wrt z.\nAnswer: -53004*r**3*z - 6*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 50615719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16124.\nAnswer: 2, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 2 + sqrt(5) + sqrt(5)).\nAnswer: -8*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 43653798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1363565.66 to the nearest ten thousand.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 - 137. Suppose w - f = -2*w. Suppose m - 100 = -3*j + 45, 0 = 5*m - 2*j - 810. Calculate the highest common factor of w and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4178352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Sum 13090804176941 and -0.7.\nAnswer: 13090804176940.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 = g, -25*y - g = -23*y + 14 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 16 = -h - 3*h, 0 = 4*w + 16. Let l(v) = 2 + 0 - 1 - 62*v + 16*v + 45*v. Let k = 4 + -5. Let g(y) = -2*y - 1. What is h*l(d) + k*g(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11767911 to the power of 1\/2, to the nearest integer?\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*-1*6 + -2*2*sqrt(304) - 3*(sqrt(304) - (2*(sqrt(304) + -1) - sqrt(304)) - sqrt(304)))*3)**2.\nAnswer: 3024*sqrt(19) + 134388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1144 (base 5) to base 14\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 21 - 6 = 0. Suppose -2*b + 2*t + 0*t = 68, t = -5*b - 158. What is the remainder when 6\/2*b\/u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 914600 to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2\/13, -5, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(-5)\/((-675)\/(-30)))\/((-7)\/(609\/(-6)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((191672\/65)\/(-97))\/(18\/15)?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 13\/7, -7, -1, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -79 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 388*f - 384.\nAnswer: -4*(f + 1)*(f + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from iffifyfl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 13439398 and 13439398 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*c**2 + 35238 - c**3 - 35238 - 238*c**2.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f. Suppose -41*x + 52*x = 22. Suppose 0 = 12*d - 10*d + x. Let a(o) = -o. Calculate d*i(u) - 10*a(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m - 207 = -75*m - 22*m. Let n be -1 - (0 + 20\/(-2)). Solve m = 6*i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -22. Let g = w + 10. Suppose g = 2*b + 5*i - 41, 6*i - 76 = -4*b + 2*i. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -897 = -192*o + 4287. What is the remainder when o is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + 13 - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -160. Let d(x) = x**2 - x - 35. Let h be d(0). Let f = p - h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 + 2*q**2 - 2*q. Let m be x(1). Suppose 3*s + 22 = m*s + 5*c, s + c = 5. Solve s*t = t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = l + 1260, -2532 = -4*p + 2*l + 3*l. Let t = p - 623. Sort t, -11, -5 in decreasing order.\nAnswer: t, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*b - 5*c, -2*b - b = 2*c - 16. Let l = 3 - b. Let v be (l - 3 - -1)*-5. What is the second biggest value in -3, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.98 - -0.02. What is the third biggest value in l, 3\/4, 3\/7, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/560 and -97\/2840?\nAnswer: 39760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.1. Let d be 28 + -29 - 5\/(10\/(-8)). Do d and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251 + 250.9111. Let n = i + -4.9111. Sort -2\/5, n, -0.1, -18.\nAnswer: -18, n, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/15 - 7*o**5\/60 - 5*o**2. Find the third derivative of i(g) wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 782.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 522470718 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2720, -11036, -24894, -44294, -69236, -99720, -135746?\n\"Answer: -2771*p**2 - 3*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384926207?\nAnswer: 31, 83, 2092859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-r + 2*r - 6 + 0).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9862559 tonnes in milligrams?\nAnswer: 986255900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 10*d + 3*q - 13, -37*d + 21*d - 3*q + 21 = -18*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 355, -2, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**1*l)**(1\/4))**3 assuming l is positive.\nAnswer: l**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 52, 82, 112?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/22 and -7\/1642.\nAnswer: 18062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*o + 392 + 602 = 0. Let s(d) = 2*d**2 - 3*d - 80. Give s(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 581 - 3919. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 32\/7 + 4\/7*m**4 + 72\/7*m**2 + 80\/7*m.\nAnswer: 4*(m + 1)*(m + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 15) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - 4*l**3 + 3*l**2)*(21 + 3 + 16).\nAnswer: -160*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*w = 7*w + 11, -5*t = -w + 37. Suppose 0 = 10*i - 22*i - 84. Let v be (-101)\/i - (-3)\/t. Solve 0*f + 4*f - 24 = 4*m, 0 = -3*f + 2*m + v for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2466, 2, 3, -221.\nAnswer: -2466, -221, -8, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 0*j - 110. Suppose 0 = 5*h + x - 28, -2*h + 2*x = x - 14. Suppose h*c = c + 70. Calculate the remainder when j is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1043\/920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 111001111101111101 (base 2) to base 8\nAnswer: 717575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.7 - 2615.\nAnswer: -2609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726305.5l to millilitres.\nAnswer: 726305500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 12*g + 7. Let t be n(-11). Let q = 27 - t. What is the remainder when 33 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 1849*x + 1849*x - 316*x**2 + 158*x**2 + 158*x**2.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/52*1\/8*-2*-2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5563032 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009325172818 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6913 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 311*a - 47*a + 121*a.\nAnswer: 375*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101011101010 (base 2) in base 15?\nAnswer: 5a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220122122 - 1210?\nAnswer: 1220120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o + 12. Suppose 21 + 3 = -3*y. Let l(s) = -45 - 12*s - 33 - 35 + 125. Let a(g) = y*f(g) + 6*l(g). What is the derivative of a(m) wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*t**2 + 3*t**2 + 2*t**2)*((4 + 2 - 5)*(-2 - 1 + 4) + (-2 + 0 + 0)*(-5 + 2 + 1)).\nAnswer: 140*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 28428?\nAnswer: 28421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(-2\/23)))\/(w*w**16)*(w**(1\/17)\/w)\/w**(-7\/6) assuming w is positive.\nAnswer: w**(-36803\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 46903\/(-23188) + 9\/33\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 + 41748210*b**3 - 87145735406585*b**2 + 348582440647980*b - 348582273655220 = 0.\nAnswer: 2, 4174819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1016169 and 371.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250280 to the power of 1\/2, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 14*p + 17. Let u be z(2). Let k be (-44)\/55 - u\/10. Which is the third smallest value? (a) k (b) 5 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98356305 to the nearest integer?\nAnswer: 9917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 18. Calculate t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r**3 - 10*r**2 - 6*r - 3. Let t(o) = -47*o**3 - 20*o**2 - 11*o - 5. What is -11*l(u) + 6*t(u)?\nAnswer: -7*u**3 - 10*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -56. Is (-542)\/(-5) - ((-36)\/(-15) + d) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -503365640 and 174.042.\nAnswer: -503365465.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 1908, 2864?\nAnswer: 3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 a, and 1 n when four letters picked without replacement from vnnaav?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i - 7. Let n be (-1)\/1 + 9\/1. Suppose -3*c - 4*h = -64, -c + 2*h + 0 = -n. Suppose 5*o - 4*y = -c, y = -3*o - 0*o + 4. Determine v(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - ((-20 - -5) + 17)) + (0 - (-2 - 0)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 - d. Let f(x) = 5*x**3 - x**2 - 3*x. What is f(b) - 4*y(b)?\nAnswer: b**3 + 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108839*c**2*v**3 - 9*c**2*v - c**2 - 2*c*v**2 + 686*c + v**3 + 43*v wrt v?\nAnswer: -653034*c**2*v - 4*c + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 114, 115?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let y(s) = -s**3 + 2*s**2. Let p be (-7)\/2 - (-4)\/8. Let d be (-8 - (-6 - p)) + 1. Determine d*o(g) - y(g).\nAnswer: g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73 + -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3.304, -1\/4, 0.1, -0.1, -56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 7:46 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/708246 and 1\/1620?\nAnswer: 63742140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/2 (b) 1\/6 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*p - 14 + 39, -3*p = -2*c - 7. Is 18 a factor of (2 + 46\/c)*-5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32776 and 479193314?\nAnswer: 8194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -439 + 443. Suppose f - 663 = 4*m - 1887, 0 = q*m + f - 1216. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*w = -9, -2*k + 6 + 8 = -2*w. Let s(p) = p**3 - p. Let j be s(0). Let t be ((-714)\/(-833))\/(3\/14). Sort t, k, j in ascending order.\nAnswer: j, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 50. Let t(q) = -6*q - 3. Let g be t(u). Let x = 0 - g. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**5)*(z\/(z*z*(z*z**0)\/z*z*z))\/z*z\/(z**(-1)*z)*z\/((z\/z**(-1\/4))\/z))\/((z**4*z*z**3)\/(z**0*z)**(1\/11)) assuming z is positive.\nAnswer: z**(-183\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5891 * -9950\nAnswer: -58615450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.08703 rounded to zero decimal places?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1233.7 - 1234. Let s be 4\/(-6)*(-6)\/(-14). Put s, 0.2, b in decreasing order.\nAnswer: 0.2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37 (b) 865 (c) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + (-106 - -3)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.0076 (b) 4\/3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 392026.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5400 and 120?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 23. Let m be d(-23). Suppose 0 = -3*r - 5*v + 5, -5*v - 15 = -2*r + 5. Suppose m = 3*z + z, -r*p + z = -10. Solve -p*y = 2*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67340 to the nearest 1000.\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2338060?\nAnswer: 2, 5, 116903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 85727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1*(-1)\/3. Let q be p\/3*(4 - 1). Let z = q - -6. Solve -t + z = 4*w, -4 = -6*w + 3*w - t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 706*j**3 - j**2 + 5*j - 5. Let i be (35 - 38)*(2*-1)\/6. What is the units digit of o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12970356 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 31*p - 2*o = 1338, -p + 1331 = -3*o. Calculate the highest common divisor of p and 728.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-264)\/40 + 7)*-5. Let g be (1 - q) + (3 - (-10 + 11)). Put -10, g, -3, -4 in decreasing order.\nAnswer: g, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 5 - 6 + 2*i**2 - 5 to the form y + v*i + z*i**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -138 + (-41 - -41) - (-1 - 2 - 3)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (1 - 9)) + (-1 - -7) + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 - 6*b + 8. Let o be l(1). Put o, 3, -52 in ascending order.\nAnswer: -52, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17379020 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 13.7.\nAnswer: -41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -12. Suppose 0*a + 3*a = 108. Let v = h + a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178 divided by -4311.\nAnswer: -178\/4311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = r - 57. Is r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8134 divided by 581\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) + (sqrt(396) - (-1 + sqrt(396))))*-4)**2 + 1)*5 + -3.\nAnswer: 960*sqrt(11) + 31762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480634337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 13, 0, -4, 68 in ascending order.\nAnswer: -87, -4, 0, 13, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 40 = -7*w. Suppose 3*g = 71 - w. Suppose 4*y + 15 = 3*v, 4*v + y = 6*y + g. Calculate the highest common divisor of v and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -339 or 7\/9?\nAnswer: -339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t - 21. Let v be c(10). Suppose -v = 2*n - 43. Calculate the highest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4392 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -978660.449 - -151.449. Let v = 978508.98899907 + z. Let w = 0.011 + v. Round w to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - 4*sqrt(187)*2 - (sqrt(187) - -5*1*sqrt(187)))\/((sqrt(44) - sqrt(44)*3)*6) + -3.\nAnswer: -3 + 13*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -64 + -1)*(-440)\/(-30). Let r = z - -1470. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/24*(-8)\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28191 is divided by 163?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1187*n + 1885. List the prime factors of d(-15).\nAnswer: 2, 5, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2) + (5 + 330\/(-50) - -13 - 12).\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - (2 - (0 + 7)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(750)*-2 + 5*2*sqrt(750))\/(((sqrt(120) - (1*sqrt(120) + sqrt(120)))*4)\/(sqrt(588) - (sqrt(588) + 1*sqrt(588)))).\nAnswer: 245*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24497.00004 + -24492. Let d = -5 + r. Round d to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -26*o + 86. What is the remainder when z(-1) is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wczccczczwccpcpcpc. Give prob of sequence wpcp.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - 77. Let w(r) = -4*r + 161. Let o(b) = 5*f(b) + 3*w(b). Determine o(-17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y = 20*y + 208. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*1781\/(-806)*4\/2.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32024242 - 32?\nAnswer: -32024324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -75*q**3 - 7*q**2 - 3*q + 3. Is w(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -4*f - 3*u, 4*u + 34 + 21 = f. Calculate the remainder when f is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (((-8)\/5)\/(-2))\/((-4)\/(-850))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9327*d - 178880 = 11563*d for d.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 34. Sort p, 4, -33 in ascending order.\nAnswer: -33, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 42*w**2 - 6132*w + 1355. What is u(102)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*o - 1 + 5*o + (-1 - 3 + 5)*(-5*o + 4*o - o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927.058ml in litres?\nAnswer: 1.927058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 319 - 317. Let f = -3 + 8. Let x be 0\/(-1)*(-2 - -3). Put k, x, f in descending order.\nAnswer: f, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(4) - (-4*(sqrt(48) + sqrt(3)))**2) + (sqrt(243)*-1)**2 + -2.\nAnswer: -959 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1185954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-130)\/15) - 20\/(-24).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1*x)\/(x*x*x**4)*(x**(-3\/2)\/x)**(-38) assuming x is positive.\nAnswer: x**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3631 or -133?\nAnswer: -3631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/5, -1\/2, 3, 162?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y - 4. Suppose -5*v = l + 66, -5*v - 84 - 6 = -5*l. Let h be (12\/v)\/((-176)\/28 - -6). Determine d(h).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -5*o**8\/28 - 13*o**6\/30 - o**4\/12 + 407*o**3\/6 - 549*o - 1. Find the third derivative of k(u) wrt u.\nAnswer: -1200*u**3 - 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*q + 23*q + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)*z**(-4))\/(z**(-6\/7)*z**(4\/15)))**(-32))**(-35) assuming z is positive.\nAnswer: z**(-18176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t + 17*t - 3*t + 5 + 33*t**2 - 2*t**2 + 10*t**2. Let j(w) = -288*w**2 - 36*w - 36. Determine -5*j(m) - 36*o(m).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12252 (base 6) to base 13.\nAnswer: aac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - 0.2. Let p = -4.902097 + -0.097903. Which is the biggest value? (a) 18 (b) p (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -20*j**2 + 3955*j + 29738. Calculate k(205).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/10)\/((-16)\/(-64)) + 999. Let z = 1004 - w. Solve -18\/5*d + 3\/5*d**2 + z = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*p + 268*p - 8027 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 30. Let l = 100 + -92. List the prime factors of n\/2 - (l - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:45 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {r: 1, w: 1, g: 1, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16669617, 33339230, 50008839, 66678444, 83348045, 100017642, 116687235?\nAnswer: 133356824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0089657664 to five decimal places.\nAnswer: 0.00897","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*f + 362*f + 190 - 66.\nAnswer: -63*f + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260 = 98*z + 98*z - 266*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = -4*r - 67, 3*q - 5*r + 133 = 0. Suppose 442*a + 4444 = 341*a. Let w = a - q. Solve 4*z = 2*p - 2, 4*z - p - 2*p + w = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-1)\/2*-2. Let f be -2*d\/4 + -6. Let r(n) = -n**3 - 6*n**2 + 4*n. What is the tens digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -18. Let z = -16.5 + 16.5. Is z >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2438 by 2438.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2 + 17 = 0. Let u be (-1)\/((-35)\/(-14)) - (-394)\/10. Suppose -i*n + 0*n = -u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.087, -1\/9, 0.23, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwjj when four letters picked without replacement from {w: 1, e: 1, t: 4, o: 1, j: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3328679536?\nAnswer: 2, 7, 13, 43, 79, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 163063069 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b = 5941 - 24895. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 7*k**2 + 8*k - 4. Let t = -310 + 304. Give n(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -o + 3*g, 3 = -3*o - 2*g - 2. Let r = 4 - o. What is the third derivative of -r*s**3 - 3*s**3 + 2*s**3 - 4*s**2 wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -2143*k**5\/60 + 1373*k**3\/2 + 53*k**2 - 37. Find the first derivative of q(r) wrt r.\nAnswer: -4286*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -2, -7, 49, 1\/3, -2\/47?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + r**2 - 5*r**4 + 25*r - 4*r + 7*r**3 - 3*r**2 in the form k*r**3 + l*r**4 + d + i*r + t*r**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y = 4. Suppose -4*f + 0*f + 2*k = 10, -f - k - y = 0. Let u = 3 + f. Put 5, -5, u in decreasing order.\nAnswer: 5, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 2. Let u = -66 - -72. Is g(u) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, 3, 1, 2\/11, -275 in increasing order.\nAnswer: -275, 2\/11, 1, 3, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1178 + -3?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.536 + 1.036. Which is the smallest value? (a) -4 (b) 2\/11 (c) h (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1 (b) -2 (c) 0.3 (d) -0.024\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**3*n**2 - 4*f**3*n - 16*f**2 - 10*n**2 wrt f?\nAnswer: 48*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/5 - (-9)\/45. Suppose c = k*q + 5*c, 0 = -3*c. Solve q = -d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 30*d**2 - 124*d + 939. Calculate the remainder when k(9) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -2*o - 12. Let f(r) = 4*r + 54. Let u(y) = f(y) + 4*m(y). Is u(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 9*z - 3. Suppose -z = b - 3*w, -b - 11 = 4*w - 38. Solve -c - b = -2*j, -5*c + 0*j - 22 = j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17693*u = 2*v - 17698*u + 11, -4*v + 4*u = -8 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*2 + -266 + 261)\/((0 + -5)\/335)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12391.4 rounded to the nearest one hundred?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*357\/(-56)*-6. Calculate the greatest common factor of q and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 178 = u. Let l be (-9)\/u*(-1 + 4). Are l and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 + 5*j - 5*j + 6*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31, 31, 33, 37, 43?\n\"Answer: c**2 - 3*c + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 814415667?\nAnswer: 3, 13, 73, 286061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 380*n**2 - 114. Let d(r) = 3*r**2 - 1. Let p(f) = 114*d(f) - y(f). Let k(m) = -8*m. Give p(k(q)).\nAnswer: -2432*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*z - 37*z + 42*z to g + p*z and give p.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or 22?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-520)\/(-312))\/(30\/27)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28521, 29295, 31427, 35607, 42525, 52871?\nAnswer: 67335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11646836?\nAnswer: 2, 17, 59, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 8. Let r be w(-4). Suppose -5*a - r = -4*v, -5*v = -4*a + 3*a - 10. Solve -v*s + 11 - 1 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*f*k**3 - 147*f - 7*k**3 wrt k?\nAnswer: -27*f*k**2 - 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 26 = 7*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 i when three letters picked without replacement from {i: 2, z: 1, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 68*r + 5090. Let n be c(-75). Sort -5, -1, -4, 69, n in descending order.\nAnswer: 69, -1, -4, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -16. Let p = 14\/9 - 97\/45. What is the third biggest value in -0.4, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 7\/796837775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.18 + -1.82. Let f = 31 + d. Let r = -1.3 + 6.3. What is the nearest to -0.03 in r, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -89*m + 60*m + 957 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - 8 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 23*t**2 + 3*t + 4. Let n(p) = 93*p**2 + 12*p + 17. Let l(c) = -2*n(c) + 9*w(c). Determine l(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -388, -402, -428, -472, -540, -638?\n\"Answer: -q**3 - 7*q - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + d + 22. Let f be h(0). What is the highest common factor of 198 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2804485 litres?\nAnswer: 280.4485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 5 (c) -1\/4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23365.9981684 + 23366. Round j to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 34 = 26. What are the prime factors of 109\/3 + (-4)\/t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13252361?\nAnswer: 83, 159667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 3*z - 43, 1102 = -9*h + 5*z + 1186 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73403.22 years in millennia?\nAnswer: 73.40322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:04 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1468596 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {h: 1, z: 1, d: 1, j: 1, b: 6, p: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(112) + 2 + 1*-1*(sqrt(112) + sqrt(112) + -2))*1)**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13527 is divided by 3203?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4103, -4011, -3921, -3833?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Suppose -i*v = -3*x + 8, v = -0*v + 3*x - 10. What are the prime factors of 5\/v*36\/15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -172.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 637 and 8575177.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8696, -17379, -26044, -34691, -43320, -51931?\n\"Answer: 9*z**2 - 8710*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1207\/104 - -198\/13. Calculate the common denominator of f and -31\/58.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x. Let s(h) = h + 1. Let w(n) = -n - 1. Let m(l) = 8*l + 7. Let c(g) = -2*m(g) - 4*w(g). Let y(z) = c(z) + 10*s(z). Determine y(f(i)).\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 142717591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 - 26*f**2 - 33*f**2 - 31*f**2 + 72*f**2 as j*f**2 + h + m*f and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + 3*2*(sqrt(1300) + 1 + sqrt(1300) + -4)*-6)**2.\nAnswer: -162720*sqrt(13) + 6751966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6617158 is divided by 63?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/4655, 83, 2?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l**0\/l))\/l)\/l*l\/(l\/(l\/l**(6\/11)*l)))\/(l**(1\/4)\/(l\/l**(2\/17))))**(1\/22) assuming l is positive.\nAnswer: l**(2309\/16456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -1901?\nAnswer: 133.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4933.9 - -4833.946. Let q = m + 100. What is q rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -441 - -441. Let d(g) = g**2 + 6*g - 5. Let p be d(-7). Let f be ((-23)\/(-11) - p)*-1. Are m and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 plus 670?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j - 56. Let g(w) = -8*w - 19. Calculate 3*f(d) - 8*g(d).\nAnswer: -2*d - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 2. Suppose 82 = 3*h + 73. Let l(s) = s**2 - 8*s - 4. Let a(k) = h*y(k) + 2*l(k). Let c be (-1)\/((-2)\/(-4)) + -2. Determine a(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/11))**30 assuming l is positive.\nAnswer: l**(270\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1655 and 993.\nAnswer: 4965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 75*l**3 + 305*l**2 - 75*l - 1750 = 0 for l.\nAnswer: -7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/4*(16\/24)\/(4\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 241*r**3 - 6*r - 6. Let v(k) = -241*k**3 + 5*k + 5. What is 5*u(p) + 6*v(p)?\nAnswer: -241*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 68161 - 204478 - 22*s**3 + 68160 + 68158 - 54*s as h*s**3 + w + t*s + a*s**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2269.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7719 = -97*j. Solve 7*q + 48 - j = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccoo. What is prob of sequence oc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((3*-1*sqrt(91))\/sqrt(7)*1 + 5)**2.\nAnswer: -60*sqrt(13) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -12380288*y**5 - 30831296*y**4 + 18094936*y**3 - 2493696*y**2 + 22806*y - 54 = 0. Calculate y.\nAnswer: -3, 3\/622, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + (sqrt(121) - (sqrt(121)*1 - sqrt(121))*-5)))\/(3*sqrt(176))*1.\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/9 (c) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j**2 - 967*j - 1301. Give x(-59).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -338 and 2.\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 - r**2 + 6*r**2 + (0 + 0 - r)*(3 - 3 - 3*r).\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 1357, 4383, 10273, 19981, 34461, 54667, 81553?\nAnswer: 116073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55624, 55540, 55456, 55372, 55288, 55204?\nAnswer: 55120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618.2364 centuries to months.\nAnswer: 741883.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -4*w - 4, 199618*n - 199613*n - 5*w - 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*k + 301*k + 31 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + -1*sqrt(125) + sqrt(125))**2)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030150476 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 132 = 15*v. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - x**2. Let u be w(-1). Let z be 10 - ((-1 - -2) + 2). Suppose -7*i + 14 + z = 0. Is u >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3*h - 21, -7*i = -4*i + 4*h - 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:31 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 55*x - 9 - 2*x**3 + 0*x**2 - 57*x in the form d*x**2 + q*x**3 + u*x + h and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 21*n - 36. What is the units digit of j(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {z: 5, b: 8, k: 2}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - l**2 - 1 + (-l - 2*l + 5*l)*(l + 0*l + 0*l) - 3*l**2 + 8*l**2 + 2*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 780352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-738)\/(-2460)*(-20)\/(-51)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 13 = 2*d, 5*s + 2*d = -2*d + 21. Let x(w) = -7 + 165*w + 156*w - 322*w. What is x(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 15.78?\nAnswer: 11.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -103. Suppose k*c - 7*c - 2398 = 0. What are the prime factors of c?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11889662071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*j + 4*g - 17, 10285*g - 10278*g - 6 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138184, -276378, -414572, -552766, -690960, -829154?\nAnswer: -967348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-4)\/38 - 4218\/40071. Solve 2 = 2*d + 4*p, d - 3*d + 4*p - 14 = g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5647?\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + m**2 - 5 - 8*m**2 - 10*m.\nAnswer: -5*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 99*l**4\/4 - 27*l**2 - 50*l - 13. Let h(j) = 27*j**2 - 5. Determine 5*c(q) - 54*h(q).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 100, 522, 1224, 2206, 3468?\n\"Answer: 140*a**2 + 2*a - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/((-320)\/10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.2199956.\nAnswer: 0.4399912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11935 - 11980. What is the fourth biggest value in w, -0.5, 1, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.1 - 2.6. Round v to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5. Let a(l) be the second derivative of -l**3\/6 - l**2\/2 - 105*l - 5. Calculate 2*a(i) - b(i).\nAnswer: -2*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 27*a**2 - 20*a - 15. Calculate the remainder when 237 is divided by o(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -300827, -601363, -901899, -1202435?\n\"Answer: -300536*v - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -11. Let q(s) = -s**2 - 12*s - 1. Let f be q(d). Suppose y = -y + f. Solve -k - 5*i + 28 = k, y*i = -3*k + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4236 divided by -6\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 12 = -2*m - 3, 2*n = m. Suppose -6*l + 90 = m. What is the second derivative of -12*h + l*h**2 + 14*h + 17*h + 7*h**2 wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4 - 2*p - 5 + 3 - 4. What is the units digit of g(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187\/(-68))\/(4\/((-92)\/23)*(-2)\/(-4))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593957 is divided by 148481?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5093*b**3 - 5*b**2 + 5*b - 5. Let u(c) = 17823*c**3 + 18*c**2 - 18*c + 18. What is -18*r(w) - 5*u(w)?\nAnswer: 2559*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 219 + 52. Suppose -2*n - 4*z = -z - c, z = -5*n + 710. Which is smaller: 142 or n?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o**2 - 4*o + 21. Let u(c) = -88*c**2 - 11*c + 57. Give 22*k(a) - 8*u(a).\nAnswer: 44*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 291*x - 1403. Let t be v(-5). Let m(c) = -17*c**3 - c. Let u be m(-1). What is the highest common factor of u and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 3*a**2 + 2*a + 5. Let d(u) = 2*u**3 - 4*u**2 - 2*u - 6. Calculate 5*d(z) + 6*k(z).\nAnswer: -2*z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4095 is divided by 170.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.28 - -0.052. Let c = d + -58.372. Let o = 49 + c. Round o to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -32*q**2 + 6. Let z(g) be the third derivative of g**5\/60 - g**3\/6 - 2*g**2 + 414*g. Give -w(p) - 6*z(p).\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3787389 greater than or equal to -3787579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16.6256 + -11.6256. Let q = -0.4 + -0.1. What is the nearest to 2 in q, u, -18, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + 27*y - 44. Let d be q(2). Let t(j) be the third derivative of j**6\/60 + j**5\/30 - j**4\/24 - j**2. What is t(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -97 - -5?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 124. Suppose -v*t = -20*t + 104. Let x(k) = -k + 18. Let a be x(t). Let f(i) = i**2 - 4*i - 2. Give f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*2\/(-6)*39\/26?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-4)*a)\/a*a\/(a\/(a*a*a**(-2\/19)*a))*a)\/((a*a**2)\/a)**(-6))**(-12\/5) assuming a is positive.\nAnswer: a**(-2712\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2) + -3 + 2. Suppose q*f - 2 = 4. What is the second derivative of 2*j**f - j**2 + j**2 + 0*j**2 + j wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26417328?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.254 - 0.817. Let v = u - -1.070999361. Round v to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0718907 - -0.0719. What is r rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -2, 29\/4650?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.169 less than 5.63?\nAnswer: 22.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001367 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3 + 3*r - 6*r**2 - 2*r**2 - 4*r - r**3. Let l be s(-9). Suppose 39*d - 957 = 6*d. What is the greatest common factor of d and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3*(-9)\/(-2). Let v(b) = 3*b**2 - b**2 - 2*b - 4*b**2 - 1 + b**3. Let x be v(m). Let q(p) = -p**2 + 2*p - 1. Give q(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:43 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564 and 16?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.68 and 0.6.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*u = -5, -2*w - 3*u = -4*w - 6. Let i(m) = w*m + 0*m**2 - 3 - m + m + m**2. Give i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from hhbonmbm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1186618*h**2 - 6*h - 66786090 with respect to h.\nAnswer: 2373236*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163391998*j**2 + 163391995*j**2 - 326784012*j**2.\nAnswer: -19*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 - 11 = -217*x + 232*x + 21 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*x = 6474, 0 = t + 4*x - 142 - 1490. What is t rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37787 and 1319939.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5551 + -0.4421. What is the nearest to y in -3, 1, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 - 119.8. Which is smaller: 0.01 or o?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -82*i - 4. Let j(x) = x - 1. Let b(u) = d(u) - 3*j(u). Let a be -2 - (-1 - 1)\/2. Let l be b(a). What is l rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2570735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/169 in -2\/9, -3\/2, -3, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44275.665 days to weeks.\nAnswer: 6325.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**22*a*a\/(a**(-31)\/a*a*a) assuming a is positive.\nAnswer: a**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1521.891 litres in millilitres?\nAnswer: 1521891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110869?\nAnswer: 1699, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -92. Let u = 1185 - 1303. Let j = f - u. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 1. Let p be g(9). Suppose 0 = 3*s - 7 - p. Suppose 0 = s*k - 2590 + 545. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o**4 - 15*o**3 - 492*o**2. Let u(w) = -2*w**4 + w**3 - 3*w**2. Let m(z) = -f(z) - u(z). What is the third derivative of m(k) wrt k?\nAnswer: -48*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/2 - 46507*k**2 + 2046771*k\/2 - 976878 = 0. Calculate k.\nAnswer: -93036, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2703385*u**2 - 118742 with respect to u.\nAnswer: 5406770*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 10. Let c be r(-5). Let w(k) = -k**3 - 4*k**2 + 6*k + 1. Calculate w(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 49.6. Sort 1\/5, -2.7, 4, d.\nAnswer: -2.7, 1\/5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 + 655*y**3 - 27225*y**2 + 378125*y - 1663750 = 0?\nAnswer: 10, 11, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*t**4 + 2*t**2 - 19*t**4 - 19*t**4 - 1.\nAnswer: -(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v + 6. Let m be a(-4). Let o be 10*(m\/5 - -2). Let k = -1 - o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -152 - (-4 + (0 - -5)). Let h = 261 + r. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -158.586 * 0.3\nAnswer: -47.5758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105.63 rounded to the nearest 10?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9672259 to the nearest integer?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 10 - 6. Let x(w) = -w**3 + 16*w**2 - 9. Let r be x(f). What is the tens digit of 6\/r + 208\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doododoododdomdod. Give prob of picking 1 m and 2 d.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/(-8)*(-8)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/595)\/((((-1088)\/(-80))\/(-17))\/(56\/(-5)))?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 19*v**2 - 18*v - 8. Let x be q(18). Let y(o) = 3*o**2 + 25*o - 2. Let i be y(x). Let u(h) = h**2 + 9*h - 12. Give u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 344\/37 + -20471\/1776. Find the common denominator of n and -63\/412.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 - (-21)\/(-14). What is the smallest value in -2, 5, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 8*o - 58. Let z = 630 - o. What are the prime factors of z?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133025 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2912860 rounded to the nearest 100000?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18*1\/(-138))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149247 rounded to the nearest one hundred?\nAnswer: 149200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -15*a - 56. Let q be f(-4). Solve -i + 0 = q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhrzhhhdrhhzzhrhh. What is prob of sequence rzzr?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -431, -867, -1325, -1817, -2355, -2951, -3617, -4365?\n\"Answer: -2*j**3 + j**2 - 425*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:04 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 1 + w**2 + 3*w**3 - 1. Suppose -5*v - 2*k + 3*k + 9 = 0, 0 = 5*v + 2*k - 12. What is the units digit of g(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 7*y**2 + 10*y - 14. What are the prime factors of k(-10)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 3 (c) -2 (d) -184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -4, -0.008, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from rli?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2355 is divided by 116.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 21*q + 51 = -32*q, -9*p = -11*p + 2*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1537351 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -161. What is the remainder when 78 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 143?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 45*d**2 - 23*d**2 - 17*d**2. Let h(l) = -10*l. Calculate h(z(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, -58, -16\/7, -579, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 13*w**2 + 0*w**3 + 7 + w**3 - 4 - 2*w**3 + w. What is y(-13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 66*s**3 + s**2 - 3*s. Let b be j(-2). Calculate the common denominator of (1\/26)\/((-7)\/b) and 11\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 261, 597, 1069, 1677, 2421?\nAnswer: 3301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2646*n + 32 - 206*n + 3 - 34 to d*n + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (21 - 41)) + 9\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*u = 21. Suppose y = u*h - 333, 0 = h - 6*h - 4*y + 555. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Suppose 0 = 2*w - 5*o - 101, -b*o + 9 + 4 = w. What is the remainder when w is divided by 2*(-4)\/(-28) - 1088\/(-112)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*r + 12*r - 51*r)*(5*r**3 - 4*r**3 - 3*r**3) + (2*r**3 + 2*r**3 - 3*r**3)*(-4*r + 7*r - 2*r).\nAnswer: 381*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -0.749486.\nAnswer: -39.749486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361698.43 take away 169351?\nAnswer: 1192347.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f**5\/7 - 884*f**4\/7 + 998*f**3\/7 + 26744*f**2\/7 - 25560*f\/7 - 7200 = 0 for f.\nAnswer: -5, -1, 2, 6, 420\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293048?\nAnswer: 2, 7, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 24 = -14*v. Let f = v - -17. Suppose -1560 = -15*i + f*i. List the prime factors of i.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2983+-2\nAnswer: 2981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21588, -15, 5 in increasing order.\nAnswer: -15, 5, 21588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x*x**3)**(-33)\/((x**(-2)\/(x\/x**1*x))\/(x*x*x**0*x**7\/x)) assuming x is positive.\nAnswer: x**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 times 0.06?\nAnswer: -5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 23757.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -1, -11851, -2 in increasing order.\nAnswer: -11851, -3, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657399 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: c (base 15) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 235615500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6281156 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/11 + 681590*a**2\/11 - 3407908*a\/11 + 2726320\/11 = 0.\nAnswer: 1, 4, 340790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*f - 13*f - 54. Calculate the greatest common factor of f and 72.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 19, 5, -24, 1 in ascending order.\nAnswer: -24, 1, 5, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 1233363834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 25*g + 2513. Let d be h(-97). Suppose 0*y + 3*y - v - 276 = 0, 2*y - 184 = 5*v. Which is bigger: d or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110 + 2112012101010?\nAnswer: 2112012200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 35 = m + 2*m, 0 = -5*t - 2*m - 93. Let a = 23 - t. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttbtttbtlbl.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5)*(-25)\/16*(-10)\/(-25). Let n = 10 + -43\/4. What is the fourth smallest value in o, 2\/9, -50, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-3 + 48\/15). Let k = t - -6553\/19. Which is the third smallest value? (a) -2 (b) 2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 241*g**3*i + 19*g**2*i + 71*g*i + 3934695*i wrt g?\nAnswer: 723*g**2*i + 38*g*i + 71*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*1\/(-10) + 198\/(-10). Let k = t + 10. Let q be (-4)\/k - (-8)\/5. What is the second biggest value in q, -20, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 + -2 - -2 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1183*i + 221. Let q = 2728 - 2507. Let w(b) = -32*b + 6. Give q*w(p) - 6*f(p).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039.29 years in centuries?\nAnswer: 60.3929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/917? (a) 3 (b) -5 (c) 3\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*d - 201*d - 330628*d**3.\nAnswer: -330628*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/((-3)\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1786*w**2 - 30*w + 25.\nAnswer: -3572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*v + 864. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281574318 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186*w + 45 = -1190*w - 5*h, 10*h + 90 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-212)\/1484*2030\/(-696).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4500 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t + 4. List the prime factors of a(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6883135280 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -20920412201 and 0.4.\nAnswer: -20920412200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2068\/16 - 4\/16. Does 20 divide 1\/((-255)\/j + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2861503 to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b1048 (base 12) to base 16.\nAnswer: -74df8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4597.8 * -0.5.\nAnswer: -2298.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -105*m**3 + 12*m**2 - 10*m - 44. What is the hundreds digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1*v)**(-36))**(-7) assuming v is positive.\nAnswer: v**504","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 7. Let c be y(-5). Let o be (c\/((-6)\/(-3)))\/1. Sort 0, -2, o in descending order.\nAnswer: 0, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 c when three letters picked without replacement from mmmmrcmcmtmc?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24*(k*k**(-2\/15))\/k)\/(k**14*k**(-3)) assuming k is positive.\nAnswer: k**(193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 0.4, 853, -2\/7?\nAnswer: 853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676*r - 1952 = -276 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 62*b**3 + 3*b**2 - 4. List the prime factors of d(2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/7 - (-37)\/7. Let y(x) = -x**2 + 5*x + 1. Let g be y(f). What is the units digit of 6\/(g - 4) + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/5 - -12 - -2. Solve 2 - d = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 702 + 288. Let z = -97 - s. Suppose -121 = 3*l - 124. Solve -4*n = -z*f - 8, 5*f + 9 = -l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llwwwlllxwlwxxwxwxx. What is prob of sequence llxw?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 106, 164, 222, 280?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 38301 (c) 14 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - ((-1 - -3) + -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-12)*3 - -3 - -38. Solve 0*y = -5*y + k for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 4, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-12)\/27*(-447)\/13112.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10.72284 and 0.3.\nAnswer: -10.42284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -8 + -5 + 37 + -12 + -93.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 12:10 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 110152.\nAnswer: 220304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.54 - 0.44. Sort -1.8, g, -0.2.\nAnswer: -1.8, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 565, 1131, 1707, 2299, 2913, 3555, 4231?\nAnswer: 4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p + 1. Let j be d(-3). Suppose 5*n = j + 159. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196852.516 to the nearest 1000.\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5. Let h be (3\/4)\/(t\/(-4996)). Let g = h - 1867. What is g rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**20*x**(-12) assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 725067.97 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from pppgpppsppppp.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 10}. Give prob of sequence xs.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5997.040995 - 1?\nAnswer: -5998.040995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164215*i**3 + 205383*i wrt i.\nAnswer: -985290*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 + 7*b**2)*(5*b - 2*b + 3 - 4).\nAnswer: 24*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 28741 - 14355 - 6*k - 14386. Let y(x) be the second derivative of 0*x**2 + 0 - 1\/3*x**3 + 3*x. Calculate y(j(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 5*i + 50, 200*i - 199*i - 17 = -0*c + 5*c + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896)*2 - sqrt(448)\/sqrt(2))\/(2*(sqrt(128) + sqrt(128) + (-2*sqrt(128) + sqrt(128))*-6 - sqrt(128))).\nAnswer: 3*sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000184 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147 and 7448?\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + a15?\nAnswer: a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2235661 rounded to four dps?\nAnswer: -0.2236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.77 - 9.716. Let z = y - 0.054. Sort z, -0.7, 4 in decreasing order.\nAnswer: 4, z, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133873 is divided by 1756?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s. Let p be c(-2). Suppose -5*w = z - 3*w - p, 0 = 4*w + 20. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11))*-6 + sqrt(88)\/(-2*sqrt(8)).\nAnswer: -13*sqrt(11)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 3*m + 1, 0 = 5*t - 4*m - 6. Suppose 2 = t*z - 2. Let c be 68\/z + (8 - 7). Solve -3*u - 4*y = c, -4*u + 4*y - 5 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-7)\/308)\/(8\/(192\/(-18))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*c - 32 = 0, 2*x - 22 = -x - 2*c. Put -5, -3, 1, x in descending order.\nAnswer: x, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 9*w + 290. What is the remainder when w is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3711 by 3.\nAnswer: -1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.6. What is the smallest value in 1\/6, -3\/4, j?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 - 18*a + 5. Let j be m(5). Let g = 55 + j. Let d(r) = -r**2 + 5*r + 4. Let t be d(5). Sort g, t, 0 in descending order.\nAnswer: t, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v**2 - 19*v**2 - 9*v**2)*(-1 - 1 + 0)*(-6*v + 0*v + 4*v)*(50 + 36 - 35)*(-1 + 0 + 0).\nAnswer: 1836*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 1, r: 2, k: 1}. Give prob of picking 1 l and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 20007750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/3 + 5*w. Let s(f) = f**2. Determine j(s(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -1037, -33, 5 in descending order.\nAnswer: 87, 5, -33, -1037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnh when four letters picked without replacement from {e: 3, q: 2, n: 5, h: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2438 (b) -0.04 (c) -56\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2178 and 2541?\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -1093 in ascending order.\nAnswer: -1093, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {u: 1, o: 2, d: 4, j: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.24 + 6.24. Let n = c + -15.6. Let x = -17.74 - n. Round x to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z = -50*z + 18. Sort z, -8, -2, 3 in increasing order.\nAnswer: -8, -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6670 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 8*z + 2. Let i(s) = 6*s - 13. Let o be i(z). Suppose -7 = a - o. Solve u - a*u = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27496\/10311)\/((-4)\/66).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 10:46 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154191928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((34\/8)\/17)\/((-1)\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -659 + 704. Suppose -17*x = -14*x - 135. Is s smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*o + 22 = 0, 34*o = -3*b + 37*o + 9. Solve 0 = -14*v + b*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooc when four letters picked without replacement from oooooooocoooooo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*s - 22*s + 3*s)*(101 + 39 + 168 - 2 - 2 + 2 + (-2 + 4 - 4)*(-1 - 2 + 4)) as v + y*s and give y.\nAnswer: -2128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000833 to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.2 - -0.2. Suppose 0 = -3*a, -2*a - 30 = t + t. Let o be (-13)\/12 - t\/20. What is the nearest to -0.3 in o, d, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648387851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 19*o**2 - 21*o - 9. Let m(g) = -g**3 - g**2 - g + 3. Let b(c) = 2*l(c) + 6*m(c). What is d in b(d) = 0?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(8*9\/108).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 5325388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/3785166 and -67\/110.\nAnswer: 18925830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 6, m: 6}. Give prob of sequence my.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398 and 1504241?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -1\/6 (c) 6 (d) 1 (e) 2\/427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3472576 millennia to centuries.\nAnswer: 3.472576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s - 33. Let o be m(17). Solve 3*w - 4 = -o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - a + 15 - 3 = 0, -2*a + 16 = 4*f. Let q(w) = -w**2 + 5*w - 2. Let j be q(f). What is the first derivative of 1 + 0*s - j - s wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2469668 and -0.69.\nAnswer: -1704070.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1286*i**6*r + i**5*r**2 + 4231*i**2*r**2 wrt i.\nAnswer: 154320*i**3*r + 60*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urhrhrererer. What is prob of picking 2 h and 1 r?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 9*v**3 + 4 + 3 - v**2 to i*v**3 + r + l*v**2 + m*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let d(z) = 152*z**2 + 1232. Give q(d(x)).\nAnswer: 304*x**2 + 2464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -17\/22 (c) -0.2 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 827 + -11583\/14. Sort n, 2\/7, 3\/2, -4.\nAnswer: -4, n, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from gfgfqjgfqg.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 49*v**4\/8 - v**2. Let w(x) = 185*x + 193*x + 189*x + 201*x - 768*x - x**2. What is f(w(q))?\nAnswer: -147*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6843\/(-11405)*(-5)\/(-29)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 43, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5.88. Let z = 3.041867 - 2.92196. Let a = i - z. Round a to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -453 - -454. Let x = -18.8 + 18.7. What is the second biggest value in x, -0.4, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2*h**2 - 20*h - 1. What is the tens digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33 - 38 - 16\/(-3). Suppose 1\/3*l**3 + 1\/3*l**4 - v*l**2 + 0*l + 0 - 1\/3*l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 44*u + 6*u + 16*u + 13*u + 17.\nAnswer: 4*u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12 + -12)\/(-6))\/9\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 + 8*s**3 + 934*s**5 - 3296*s - 11*s**3 + 6*s**3 wrt s.\nAnswer: 18680*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b**(-2\/25)*(b\/(b**(-1\/3)\/b))**0 assuming b is positive.\nAnswer: b**(173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -15*s - 45 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -0.3, -3, 5\/3, -4, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let t be a(-3). Factor -13 + 13 + 2*k**t.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 2. Let j(p) = -3 - 2*p - 2 - 3. Let f be j(-7). Suppose -v + f*b + 2 = 4*b, -3*b = 2*v + 17. Determine h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f + 8*f**3 - 5*f**3 - 2*f**3 + 6*f**2. Let q be m(-7). Suppose k = -4*g, 0 = -q*g + 5*g - 4*k. Solve g = -6*j + 2*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 9. Let x = 5 - 9. Let t = x - -4. What is the closest to t in -1, 2, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(3\/2))**(-21) assuming j is positive.\nAnswer: j**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-1)\/3)\/((-2)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 1, c: 1, o: 1, x: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2499914 + 0.25. What is x rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1777, -1782, -1789, -1798, -1809, -1822, -1837?\nAnswer: -1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334 - 12*x + 13*x - 4334.\nAnswer: x - 4668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 19, 5, -25, -77, -157, -271?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77991897 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-9))\/1*59\/2124?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.7 and -1.1369474?\nAnswer: 1.8369474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**3\/3 - 5*c**2 - 5*c + 56. Determine w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -16 - 5 + 30 - 10. Let q(c) = 3*c**2 - 20*c + 3. Let z(t) = -q(t) + 6*x(t). Let h be z(6). Solve -4*o + h = -o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12886755, 12886752, 12886751, 12886752, 12886755?\nAnswer: 12886760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 16227 + 16227 + 8*f.\nAnswer: 5*f**3 + 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 29. Let l(b) = -b - 28. Let d(o) = -4*l(o) + 3*m(o). Let x be d(-6). Factor 4*t + 2*t - 6*t**3 + 3 + x*t**4 - 12*t**2 - 10*t**4.\nAnswer: 3*(t - 1)**2*(t + 1)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u, 11*n - 14*n + 5*u + 19 = 0. Solve -36 = n*i - 48 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -3*q**4\/4 + q**3\/3 - q**2\/2 + q. Let v(w) = -w**2 - 9*w - 17. Let d be v(-6). What is t(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:53 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -202200122210111220?\nAnswer: -202200122210111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -69. Let g be 168\/720 + (-6)\/(-10). What is the second smallest value in o, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 378 = -21 + 12 + 22 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 52, 57, 64, 73, 84, 97?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -248*t**3 + 95*t**2 + t - 1308 wrt t.\nAnswer: -744*t**2 + 190*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 g when three letters picked without replacement from sgxgsxsxxxsxsss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5268981 is divided by 474?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 6. Let w be (j\/6)\/(4\/264). What is the tens digit of w*(-1)\/2*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/30 + o**4\/6 + 4*o**2. What is the tens digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (87\/9 - 10) + 17752\/12. Calculate the greatest common divisor of q and 696.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from ccciciviciiccciii?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 19 - 34. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 137134*j - 274269\/2.\nAnswer: (j - 1)*(j + 274269)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24802800 to the power of 1\/2, to the nearest integer?\nAnswer: 4980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -2912, -6304, -10976, -16922, -24136, -32612, -42344?\nAnswer: -53326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.64633045 - -6.35366944. Let b = -56 - -83. Let i = b - o. What is i rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4384, -8767, -13150, -17533, -21916?\n\"Answer: -4383*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7464.97 + 7498. What is y rounded to 0 decimal places?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-3801)\/(-126) - ((-125)\/30 + (-12)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51714036.\nAnswer: 2, 3, 11, 43, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2600.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/400 and 7\/72.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 9:32 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**3 + 0*a + 1\/12*a**4 + a**2 + 0. Let y(z) = -2*z + 5. Suppose -5*p + 46 = 76. Determine p*t(h) - 7*y(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j - 6. Suppose -35*m + 81 = -32*m. Calculate the greatest common factor of m and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64 and 0.86229.\nAnswer: -55.18656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 187*h**2 + 107*h**2 + 136*h**2 - 2 as i*h**2 + l*h + x and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 1.1, -1\/8, -6 in decreasing order.\nAnswer: 1.1, 0.6, -1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**3 - y**2 - 9*y. Suppose 0 = -7*w + 4*w + 21. Let u(l) = 10*l**3 + 4*l - 2*l**2 + 9*l + 3*l**2. What is w*r(i) + 5*u(i)?\nAnswer: i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3251*g + 3260*g + 216. Let c = 21 + -17. Put c, g, 0 in descending order.\nAnswer: c, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 165?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2103, 2125, 2147, 2169?\n\"Answer: 22*i + 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 8 + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 592?\nAnswer: 21\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.466686 to 3 dps.\nAnswer: 0.467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -21*j**5\/20 - 5*j**4\/4 + 18*j. Find the third derivative of w(a) wrt a.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 61, 112, 183, 274?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2205, 4436, 6667, 8898?\n\"Answer: 2231*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 6*h**4 - 15*h**3 - 69*h**2 - 30*h = 0.\nAnswer: -2, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61470 in -0.6, -0.4, -0.1, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003659806 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-4 + (-9)\/(-3)). Let h be 1\/(2\/2 + 11\/(-22)). Let v(s) = -s**3 + s + s + 53*s**h - 5 + 3*s - 49*s**2. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let n = 7 - 5. Let y be (-6)\/10 + n\/(-5). Are y and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lsmlmlrmsrmmmmllsslf. Give prob of picking 1 l, 2 s, and 1 m.\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s = 49*s + 164. Suppose -39*m = -s*m + 50. Let l = 118 - m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 + 85*q**3 + 6*q + 9?\nAnswer: -20*q**3 + 510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10. Let d = 6 + t. Suppose -2*v - 60 = -4*q - 14, 0 = d*q - v - 51. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07100037 - 0.071. What is o rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 - -4?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 7*t**2 + 4*t + 9. Let o be y(-6). Let s = -181 - -265. What is the greatest common divisor of o and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6556, -25999, -58348, -103561, -161596, -232411, -315964?\n\"Answer: 7*q**3 - 6495*q**2 - 7*q - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 16) to base 13.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136331 - 74769. List the prime factors of h.\nAnswer: 2, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + p**2 - 1. Let z be d(-1). Let y(k) be the second derivative of 19*k**3\/3 - 15*k. What is the units digit of y(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6864)\/(-2912) - 240\/112?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -18)*(1 - 2). Let q be -12*(-1 + (-2)\/(-6)). Let 10*l**3 - 5*l**3 + 15*l**2 + q*l - 9*l + g*l = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1524\/5 in -1, 354, -0.5?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12474412 by 82612.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251286842 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) -598 (c) -2\/11 (d) -4 (e) -0.4 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v + 1 - 8 - 2 - 3. Is y(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 96*s + 11. Calculate j(-6).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Suppose 0 = 3*l - 4*l - 4*x + 16, -2*x = 5*l - 8. Suppose -d = 3, 0 = -2*o - l*o - 4*d + 12. Let c(i) = i - 10*i - o*i. Give p(c(q)).\nAnswer: -441*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 510387 (base 10) to base 7\nAnswer: 4224003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18338 is divided by 161.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Solve -u*j + 10 = -0*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 14*w**2 - 14*w + 11. What is r(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2058.92498 to zero decimal places.\nAnswer: -2059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43397186?\nAnswer: 2, 7, 73, 42463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2. Let x(n) = 4645*n. Determine x(m(s)).\nAnswer: -9290*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1754 + 3193. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 9*a + 6. Let h be g(-9). Let z(o) = -4*o + 5*o - 20 + h + 5*o. Is z(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from kkkykkhkychy.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -g + 7. Let x = -145 - -145. Suppose -49*d + 46*d + 213 = x. What is the remainder when d is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -141*s**2\/5 + 149754*s\/5 + 57456 = 0?\nAnswer: -90\/47, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 753*u + 190. Is b(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h - 9. List the prime factors of f(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-3) + -7 + 11. Calculate the highest common factor of 104 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 23 = -b, 0 = 2*h + 5*h + 2*b - 37 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (39 - ((38 - 14) + -7) - -12) + (-7 - -2)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 9*q**2 + 10*q**2 - 3*q**3 - 4*q + 4*q**3 + 5 as w*q**3 + c*q + m*q**2 + a and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 452 - -44. Suppose 0 = -3*i - 2*j + 358, -h = -4*i + j + j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:35 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406627 is divided by 134824?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u. Let k(n) = -103*n - 16. Let r(m) = m**2 + 18*m - 83. Let y be r(-22). Let p(w) = 68*w + 10. Let q(h) = y*k(h) + 8*p(h). Give q(v(f)).\nAnswer: -232*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6578 + 1745 = -179*h. Calculate the remainder when 10070 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 56*x**2.\nAnswer: -4*x**2*(x + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**4\/12 - 2*z**3\/3 + 3*z**2 + 2*z. Determine t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/r**(-1\/7))\/r)\/(r*r**(-4))*r\/(r**(3\/4)\/r)*(r\/r**(-1))\/r)\/((r**1\/(r\/r**6))\/(r**2\/r**(-4))) assuming r is positive.\nAnswer: r**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Let t(x) = -x + 9. Suppose -q - 2*d = -2*q + 16, 4*d = 5*q - 50. Let r be t(q). What is the nearest to p in 6, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a century in months?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109920 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*j + 7767 = 49849 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6715399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101561805*j**6 + 2*j**3 + 3227*j**2 - 26*j - 64.\nAnswer: -12187416600*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4264059 + 9612459. Round o to the nearest one hundred thousand.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1443, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w = 3750. Let c = 1171 - w. Round c to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1844\/14 - (-2)\/7. Let u(t) = 4*t + 20. Let n be u(6). Let w be (-76)\/(-6) + n\/(-66). Calculate the greatest common divisor of m and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 75673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(15)\/sqrt(5)*-3 - (-1 + sqrt(48)))**2 + -4.\nAnswer: -14*sqrt(3) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27565 = -104*c + 674*c + 175*c for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 17. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwlzwwddzdwdd. What is prob of sequence ld?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 4. Let d be i(-6). Let j = 15 - d. Let c be -6 + 3 - 1 - -157. Calculate the highest common factor of c and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b5 - -48b?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 208877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.76 - -1.004. Let d = r + -40.044. Round d to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f - 0 + 36. Let p be 4\/(2 - 0) - 1. Is ((-12)\/(-8))\/p*f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 94*s + 310. What is q(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.1. Let v = -3.93 - -4.13. What is the nearest to v in 1, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61539.4 rounded to the nearest one hundred?\nAnswer: 61500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 15*k - 8. Let v(m) = -m + 3*m + 2 - m - 1. Let q(a) = 2*j(a) - 4*v(a). What is the first derivative of q(y) wrt y?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1\/2)*(-28)\/(-6). Let s be (24\/(-5))\/(9*a\/420). Solve -4*z - n + 16 = 0, 0 = 4*z - n - 2*n - s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 4*q - 3*q. Let o be i(2). Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131.7 + -132. What is the second smallest value in h, -1, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1773 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 38, 23, 2, -25, -58?\n\"Answer: -3*f**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -10.2. Let j = 13.3433 + -3.3552. Let c = p + j. What is c rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*f - 38*f + 19*f - 154 + 8*f in the form n + y*f and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13705\/6 - 2284. Which is the biggest value? (a) -5 (b) n (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11774*m - 2 + 1 + 7905*m.\nAnswer: 19679*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44403030 (base 5) to base 12\nAnswer: 168582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/408 and -89\/408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 27, -3, -2\/5, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 7. Let d be h(5). Let w(p) = -5*p**3 + 3*p**2 - 3*p + 3. Let q(n) = 4*n**3 - 2*n**2 + 2*n - 2. Give d*q(l) - 2*w(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1300) + ((2 + 3*sqrt(1300))**2 - sqrt(1300)) + sqrt(1300).\nAnswer: 130*sqrt(13) + 11708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -25. Calculate the remainder when 6 is divided by 1*(3 + 3)\/s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-42)\/(-5)*(-1635)\/(-218) is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 - 3*v + 10. Calculate z(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-72)\/(-42))\/((-2)\/28))\/(354\/(-590)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-968)*16 + (-62)\/(-22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37433\/13695 + 20\/(-6) + 0\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*g + 1 = 8, -8 = 2*v - 5*g. Let a(n) = 108*n + 1841. Let c be a(-17). Calculate the greatest common divisor of v and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7692*b**3 - 2760*b**3 + 2391*b**3.\nAnswer: 7323*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -36, -76, -138, -228, -352?\n\"Answer: -p**3 - 2*p**2 - 11*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4591 and 390.3?\nAnswer: 179.18673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6*k + 2*k = 0. Suppose 4*g = 12 + 4. Suppose k*d + 3*d - 15010 = 5*m, g*m - 14992 = -3*d. What is d rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 26*c**2 - 92*c - 62. Calculate the remainder when p(-22) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9620*o + 6*o**3 + 4838*o + 4782*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3466469925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((i*i**(6\/13))\/i)\/i)\/i)\/(i*i\/(i\/i**(-5)*i)))**(-6\/17) assuming i is positive.\nAnswer: i**(-270\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(-6*(5*sqrt(833))**2 + -4) + 4)*-1.\nAnswer: -374864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -72 + b1?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -550 and -0.4910843.\nAnswer: -550.4910843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 3*z**4 + 4*z**2 + 2*z**3 + 1 - 2*z**4 - 6*z.\nAnswer: -(z - 1)**2*(z + 1)*(5*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 1. Let o be k(-1). Let q be o\/16 + (-4)\/126. Let w = -2\/63 - q. Do -0.2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from lmmllllpm?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-2 - 4) - -2) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 46 + 18 + -38.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 2*z + 9, x = -5*z - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 10 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 - 8\/9*c - 4\/9*c**2.\nAnswer: -4*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4990*o**3 + o**2 - 4775*o wrt o.\nAnswer: -29940*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*t + 46, 8 = 4*l - 3*t + 51. Let a(v) = -v**3 - 6*v**2 + 8*v + 9. Let x be a(l). Let u(k) = -k**2 - 2*k - 1. Give u(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 2. Let o(x) = -4*x - 7. Let a(c) = 2*o(c) - 7*q(c). Let l(u) = u**2. Calculate l(a(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {z: 5, l: 1, h: 4, u: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 15*d + 27)*(7 + 1 + 0) + (-5 - 2 + 5)*(-4*d - 2*d - 4*d).\nAnswer: 140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -217663 to the nearest 1000.\nAnswer: -218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 10103303?\nAnswer: 10103110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 + -888. Let s = -655 - y. What is the highest common divisor of 72 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158865 + -241879?\nAnswer: -400744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4382 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h**2 + 2*h**2 - 8*h**2 + 2)*(-2*h + 2*h + 3*h**2) to t + x*h**2 + d*h + j*h**3 + u*h**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 18*b + i + 7330, -4*b + 29287 = 7*i. What is the highest common factor of 34 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 3498876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -145000 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*a**4 - 4*a + 8*a**3 - 3*a + 10*a**4 - 5*a + 6*a**4 to the form m*a**3 + x*a**4 + g + q*a**2 + d*a and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 16*u - 27. Suppose 5*v - 53 = -2*z, 3*v - 10*z = -6*z + 37. What is the remainder when n(-12) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 equal to -59\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 59*g - 131. Determine w(-61).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 153*f + 2. Let w be x(1). Suppose 3*c + 2*c = w. Let s = 36 - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266135 to the power of 1\/2, to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -u - 1, -3*x - 31 = -4*u - 32. Suppose 7 = 3*s - 2. Suppose x*h - 267 = -3*b, 0 = -s*b - 5*h + 69 + 188. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267*26\nAnswer: 6942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -35644\nAnswer: -4\/8911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + u)*(7*u - 2 - 8*u - 8*u)*(-2*u**3 + 2*u**3 + 3*u**3).\nAnswer: 27*u**5 + 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(25) - (sqrt(125)\/sqrt(5) + sqrt(25)))*-1)\/(sqrt(320)*-4 - sqrt(320)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 12:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)\/(11 + -14) + (-33)\/45. What is the nearest to h in 0.4, -0.31, 3?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -83*l - 44. Is t(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*c - 4144520 = 237*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let o be (-1)\/i + 306\/24. Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1169, 1216, 1263, 1310, 1357?\n\"Answer: 47*r + 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -38 + 25 + 18 + -19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Suppose u + o*l = 12, -89 + 14 = -3*u + l. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17204 and 14391652?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -241 + 238.22. Let o = 0.22 - y. Which is the nearest to -0.2? (a) -4\/3 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5133 and 13.\nAnswer: 66729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 400241, 400240, 400239, 400238?\n\"Answer: -p + 400242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*y + 31*y + 54 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1 + 0*z**3 + 6*z**2 + 10*z**3 - 17*z + 16*z - 6. Let d(y) = -y**3 - y**2 + 1. Calculate -6*d(g) - q(g).\nAnswer: -4*g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 264114380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 1349562?\nAnswer: -1\/674781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2, -5*j - 23*o + 16 = -24*o. Let u(x) be the first derivative of 2\/11*x**2 - 2\/33*x**j - 6 - 2\/11*x. Determine v so that u(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46441*v**4 - 3*v**2 + 6*v - 8595121?\nAnswer: -185764*v**3 - 6*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 263704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1 - 1 + 2*p. Let z = 11 - 9. Let w(v) = 27 - z*v - 27. Give w(r(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 19*i**2 + 8*i - 95. Calculate the remainder when k(-20) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2. Let c be o(0). Let h(b) = -b**3 - 5 + 138*b**2 + 0*b - 143*b**c - 5*b - 2*b. What is the least common multiple of h(-4) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 4 (b) 9 (c) -5\/6 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3*b = 7*c + 20, 5*c - 60 = -5*b. Solve -3*o - 23 = -c*g + 3*g, 0 = 2*o + g - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 48 = -14*d. What is the lowest common multiple of d and 1756?\nAnswer: 12292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73280.69 microseconds to nanoseconds.\nAnswer: 73280690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -75*o. Let k(r) = -3501793*r**2 - 2. Calculate w(k(i)).\nAnswer: 262634475*i**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + 662*o**2 - 4280*o + 7495. Calculate n(-227).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8\/(-10) + 3620289\/305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 901 - 466. Let w = g + -158. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 5*u**2 - 13*u. Let l(n) = n**3 - 3*n**2 + 7*n. Let s(g) = -10*l(g) - 6*v(g). Find the second derivative of s(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (1 + -2*sqrt(700) + 5 + 3)**2*2).\nAnswer: -34548 + 4320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6839514 and -1\/378.\nAnswer: 143629794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 758+-5\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 9*q + 390, -261589*q + 261585*q = 3*i - 177 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/12 - g**3\/6 + g**2\/2 + 4*g. Let k(o) = 2*o**2 - 2*o + 3. Determine k(u) - t(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.91 * -0.4.\nAnswer: -0.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3, -3, 0.176, -0.13, -1\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 25*f - 5. Give x(21).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 332 = z - 4*v, -2*v = 4*z - 1206. Does 50 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:04 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + -3 + sqrt(8))**2.\nAnswer: 7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 + u**2 - 3*u + 7. Let o be a(3). What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92328 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -132302.\nAnswer: 529208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, u: 1, p: 3, c: 1, x: 4}. What is prob of sequence prx?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(704) - -2*sqrt(5)*-5)**2.\nAnswer: 31205\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 89. Let u(x) = -3*x. What is u(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -914 + 1913. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 593745 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2695)*2*1)\/(5*-2*sqrt(180) + sqrt(180) - sqrt(180))*-2)*-3.\nAnswer: -7*sqrt(11)\/5 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**4\/4 + 2*r**3\/3 + r**2\/2 - 10. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(6)\/(sqrt(225)\/sqrt(3)))**2 - (sqrt(2592) - (-1*sqrt(2592) + sqrt(2592) - sqrt(2592)))\/(sqrt(81)*-1).\nAnswer: 48*sqrt(2)\/5 + 402\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2711891 millilitres?\nAnswer: 0.0002711891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.5 (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7. Let q(a) = 1521*a**2 - 28. Calculate 4*o(i) + q(i).\nAnswer: 1521*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4*z + 4 + 6*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021238005 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 5*k + 4. Let s be i(-5). Let t(o) = o - 1. Let m be t(s). Factor 0*v**2 + 3*v**m - 2*v**3 - 2*v**2 + v.\nAnswer: v*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 14. Give m(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t - c = -31, 31*t - 205 = 28*t + c - 3*c - 194 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w)**(-7))**(8\/3) assuming w is positive.\nAnswer: w**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3, 9*r = 3*d + 13*r - 34. Suppose 0 = 3*v + 36 + 21. Calculate the remainder when (v\/2)\/((-5)\/10) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 = 4*r - 77. Suppose 10*t = -14 + 84. What is the remainder when r is divided by (-1 - -46)\/(t - 22\/4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2132875 and 64\/1620985?\nAnswer: 40524625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 57*x - 2396. Let p be h(42). Put 35, p, 5, -4 in decreasing order.\nAnswer: 35, 5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**4 + 0*p**4 - 2*p - 2*p**5 + (6 - 1 - 2)*(p**5 - p**5 + 6*p**5).\nAnswer: 16*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 + 26*j - 82)*(-1 + 3 - 3) in the form a*j + f and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2275)\/(-5) - 80\/(-16)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from tdwttnw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 2\/(1 + 1). Suppose -x + 5*o - o + 1603 = 0, 4*x - 4*o - 6436 = 0. Let b be 3\/(-2)*(x\/(-513) - -3). Which is smaller: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2.5. Let x = 0.4 - 0.3. What is the nearest to x in u, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + o, 3*q = -2*o + 15. Suppose 2*b + 106 = q*b. What is the remainder when b is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**4 - 45949*b**2 - 312081.\nAnswer: 12*b**3 - 91898*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00266231 to five decimal places.\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 974815574 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 161*n + 5080. Let m be h(27). Let b(s) = -s**2 + 6*s + 19. Let x be b(8). Sort m, x, -0.4, 0.\nAnswer: -0.4, 0, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248184 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 6:50 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000101342166 rounded to seven decimal places?\nAnswer: 0.0001013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = 2 - 2647. Calculate the remainder when 344 is divided by q.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 2. Suppose -3 = 3*c - 18. Let i be v(c). Let s be i\/(-6)*1*-6. Solve -3 = 5*u - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 6808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + 1 + -4 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b - 8*b - 7 + 5)*(-1 - b + 1).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*b = -87*b + 8. Let o(h) be the first derivative of -h - 5\/2*h**b - 10. Determine o(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 15 + 1)*(3 - 1 - 4) + (0 - 2 - 3)*(0 - 1 - 1))*(0 - 8 + 1)*(0*p**4 - 2*p**4 + 3*p**4) in the form m*p + j*p**2 + o*p**3 + y*p**4 + f and give y.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -141, -256, -371, -486?\n\"Answer: -115*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242504*b**3*k + 1553*b**3 - 81*b wrt k?\nAnswer: 242504*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6)\/(11 + 75\/12 - 17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 6 = -2*s + 1, -3*x - 4*s - 13 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f + 88. Let w be x(21). Calculate the greatest common divisor of 375 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -418 or -3349\/8?\nAnswer: -3349\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5*10*(-24)\/(-20). Let p = g - 60. Factor 1\/4*w**2 + 1\/4*w + p.\nAnswer: w*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4630 + 11?\nAnswer: -461b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 z when four letters picked without replacement from zzzzzcczzzzzczzzzz.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 0.0593949?\nAnswer: -0.08315286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:15 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -280313, -560607, -840901, -1121195, -1401489?\n\"Answer: -280294*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18146)\/1266 - 8\/40*-55?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4973, -19896, -44771, -79604, -124401, -179168, -243911?\n\"Answer: -l**3 - 4970*l**2 - 6*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -30*u**2 - 96*u - 11. Give y(-4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*a**3 - 4*a - 18 + 172 + 4*a.\nAnswer: 2*a**3 + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2635\/3 - 5261\/6. What is the fourth biggest value in 6, -1, -0.4, h, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 508 = -3812. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2283 less than 82247967379?\nAnswer: 82247969662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 308 and 154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 1482, 3241, 5688, 8829, 12670?\nAnswer: 17217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 + 380*o**3 + 4535*o**2 + 11820*o - 16740 = 0 for o.\nAnswer: -62, -9, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**3\/7 - 132*r**2\/7 - 2658*r\/7 - 360.\nAnswer: 6*(r - 35)*(r + 1)*(r + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102) - sqrt(102) - sqrt(102) - sqrt(102))*-6 - -3*(sqrt(102)*2 - sqrt(102)))\/(-2*1*sqrt(600)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2310, -4607, -6902, -9195, -11486, -13775, -16062?\nAnswer: -18347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.28 - -4.58. Let i = 65.936 + -67.3. Let c = g + i. Round c to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -29 and -8064149.64.\nAnswer: -8064178.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 1. Let z be t(-3). Suppose 35*a - 1688 = -354*a - 132. Suppose z*h = -5*w + 295, -5*w + 295 = 2*h - a*h. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**3 - 28*x**3 - 32*x**3 + 88*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -475699 divided by -1?\nAnswer: 475699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**3 + 15*y**2 + 8. Let k(z) = 4*z**3 + 5*z**2 + 3. Let s(a) = 3*d(a) - 8*k(a). Is 13 a factor of s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + 2 + 472. Let v = d + -867. What are the prime factors of (-12)\/(-54) + v\/(-18)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/4*8\/(-216).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/5 - 43*m**2\/5 + 74*m\/5 + 328\/5 = 0. What is m?\nAnswer: -2, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g. Let h be 43\/5 + 126\/(-210). Suppose -h*b + 14*b - 6 = 0. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1358111*w + 1672418 wrt w.\nAnswer: -1358111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**2 + 1112*z - 4446. Calculate the remainder when 259 is divided by s(4).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20703, -41396, -62083, -82758, -103415, -124048, -144651?\nAnswer: -165218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -155*j**2 + 60*j**2 + 92*j**2. Let q(g) = 10*g. Let z(r) = -5*r. Let l(i) = 3*q(i) + 5*z(i). Give l(k(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*w**3 - 667*w**2 + 29584*w + 3 wrt w.\nAnswer: 1878*w - 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcp when three letters picked without replacement from {j: 2, g: 1, c: 2, p: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.076 - -0.03. Let b = -10.046 - p. Let r be ((-2)\/10)\/(8\/20). Sort 2, b, r in descending order.\nAnswer: 2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*c + 79191 + 19105. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -1911052*y**2. Let n(t) = -14*t**2. Give u(n(c)).\nAnswer: -374566192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/((-7)\/(-63)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 - 454*d + 73 + 3*d**2 + 454*d - 5*d**2 + d**2.\nAnswer: -3*d**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528*v + 96*v + 8642 = -233*v - 5089 for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 5*c**2 - 2*c - 3. Let l be a(-5). Let f(i) be the first derivative of i**3\/3 - 6*i - 2. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -5 (c) 0.5 (d) 2\/3 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31979.\nAnswer: 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/155 and -43\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3331979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/3, -3\/4.\nAnswer: -3, -4\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12*u - 5071 = 0. List the prime factors of u.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 390 + -394. Let v(u) = 3*u - u**3 - 13*u + 8*u - 3 - 4*u**2. Calculate v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 2) + (-2 + 2 - (-3 - -4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -50. Let g be 0 + 6934*(-6)\/l. Let z = g + -1039. What is the common denominator of z and 93\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 7) in base 16?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3377, 3722, 4067, 4412?\nAnswer: 4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.55013087 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 b when three letters picked without replacement from {e: 11, b: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*p**2 - 40*p**2 - 6*p**4 + (-3 - p**2 + 3)*(-3*p**2 - 11*p**2 - 11*p**2).\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/3 + 776*z**4\/3 - 15076*z**3\/3 + 39736*z**2\/3 - 8480*z = 0.\nAnswer: -212, 0, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 - -1.400000706. What is l rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + ((4*(-1 + sqrt(200)) - sqrt(200)) + -2 - (-2*sqrt(200) + 4)*-2))**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, 0.052, -1?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/z**(-1\/2)*z\/(z\/(z\/(z*z*z**3)))*z\/((z*z**3\/z)\/z) assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 3, f: 4, d: 9}. What is prob of picking 1 d and 1 j?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**12*u**(-7)*u**(3\/2)\/u*u**(-6)\/u assuming u is positive.\nAnswer: u**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-3)\/12*6\/27. Which is smaller: k or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*j**4*w**3 + 212*j**3*w**3 - 129*j**2*w**3 + 201*j**2*w wrt j.\nAnswer: 1296*j*w**3 + 1272*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 410224163 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005093 rounded to 7 dps?\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/80 and 7\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-4 - -3 - 2) - (-158 + 165).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216*l - 24814 = 14098 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ennxaanxanxxwxxxnnnw. Give prob of picking 1 w and 1 n.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -3, -0.6, -1465\/4 in ascending order.\nAnswer: -1465\/4, -3, -0.6, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.5, -2727, 0.1, 2, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-54)*(-24)\/16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 4*(-2 + ((sqrt(1088) - 5*-2*sqrt(1088))**2 - sqrt(1088)))*6 + 4 + -1).\nAnswer: -192*sqrt(17) + 3159502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -397*a + 116. Let o be w(-28). Suppose 63*v = 75*v - o. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5 + 488*l + 478*l - 967*l. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90146 and 1316?\nAnswer: 180292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*30\/3. Let d = 0 + 1. Let s(a) = a. Let i(m) = -2*m**2 + 6*m. Let t(r) = d*i(r) + u*s(r). Find the second derivative of t(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {x: 3, h: 5, o: 1, j: 5, e: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.36096894 rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -9 - -11) + 8 + 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*s + 7 = 0, 3*s + 15 - 3 = 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 23. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o - 6 = -4*d, -3*d = o - 11. Let l be 4*o*(1 + -8)\/(-14). Suppose -33 = -4*b - 13. Solve -b*c = 1 + l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31304 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + u = -29*x + 53*x, 0 = -2*x - 4*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6744, 0, -4, -8 in decreasing order.\nAnswer: 0, -4, -8, -6744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6351*b**2 + 2*b**3 + 6351*b**2 + 0.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 27 = -t + 3*o, 69 = 4*t - 5*o. Let b be (-1)\/7 - (-150)\/t. Suppose 0 = c - 80 + 3. What is the greatest common factor of c and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 7, z: 5, q: 3, g: 1}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.66.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17954181199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*x + 0)*(-3 - 2 + 2)*(-3 + 1 + 1) in the form p*x + t and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -2\/15*w**3 + 2\/125*w**5 - 1\/75*w**6 - 4\/25*w**2 - 217 + 1\/10*w**4 + 8\/25*w. Suppose r(n) = 0. What is n?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4279*n - 12840. Let y be s(3). Let x(t) = 2*t - 2. Let u(z) = z - 1. Suppose m - 3 = -l, 22 = 3*m - 4*l - 1. Calculate m*u(p) + y*x(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -3.\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 172 - 2184*w**4 - 3*w**3 + 2190*w**4 - 122 - 83 - w**2 as v*w**4 + j*w + s*w**2 + f + t*w**3 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -34 and -34 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 3, s: 1, i: 1, k: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11659 and -638.\nAnswer: 7438442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4304516*k**3 + 21*k**2*v + 709421*k*v - v + 46 wrt k?\nAnswer: 25827096*k + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 20382.\nAnswer: 509550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4041439 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*k**3*p - 2*b**2*k**2 - 20*b**2*k - 25*b*j*p + 18*b*k**2*p + 45479*j*k**3 - k**3*p - 2*k*p wrt k.\nAnswer: 12*b**2*p + 272874*j - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anayyinynay. What is prob of picking 1 y and 1 i?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010531519 rounded to five decimal places?\nAnswer: 0.01053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -15. Let n be (2 - 12\/8)*0. Let v be 233 + -1 + n\/(-1). Calculate the greatest common divisor of b and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - n = n, 5*c + 20 = -0*c - 4*n + n + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (20 + -45 + 13)) + (11 - 4) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -916, -915, -914, -913, -912?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5 - 1436*t**4 + 63328*t**3 + 12400656*t**2 + 129662208*t + 347120640 = 0.\nAnswer: -62, -6, -5, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 250.4092.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01490013 and 142478705?\nAnswer: 142478704.98509987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/2))**(2\/13) assuming i is positive.\nAnswer: i**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from ggrrgrrgrrrgrrrrrrrr?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -1 - (-95 - -119) - -23.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -24?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -29134362\nAnswer: 1\/9711454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. Solve 3*n = x + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81279931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88129 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-36)\/(-4) - (3 - 23).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -36096?\nAnswer: 21657.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and -0.025.\nAnswer: -0.00225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*t = 12, -m - 5*t = 2*m + 19. Let u be m - (0 + (-3 - -3)). Suppose u*f + 2*g = 280, 0*g - 2*g = -3*f + 425. List the prime factors of f.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.178 + -12.178. Let h = -0.3 + 0.5. Which is the nearest to 2\/5? (a) 1 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -3*c**3 - 3*c**2 + 81\/4*c**4 - 11 + 0*c. Factor t(w).\nAnswer: 3*w*(3*w - 1)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*t - 12, 3*q + 4*t = -q + 16. Suppose -q*u - u = -425. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 5580*o - 1540128 = 0. Calculate o.\nAnswer: -2104, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2645?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/8 - t**3\/2 + t**2 - 36. Let j(w) = -w**2 + 6*w + 5. Calculate 5*f(x) + 3*j(x).\nAnswer: -3*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 184188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 32*y**2 + 326*y + 20. Determine m(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13660.78623 * -0.2\nAnswer: -2732.157246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1001101112011222?\nAnswer: -1001101112011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 362 + -361. Is g != -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k. Let b(t) = 14*t - 1. Suppose -4*c + 5*y - 42 = 0, 71 = 3*c - 3*y + 101. Calculate c*a(o) + 3*b(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -1, 7, -3, 19 in ascending order.\nAnswer: -3, -1, 7, 19, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 785.1 - 813.1. Which is the fifth biggest value? (a) 4\/7 (b) r (c) 2 (d) 2\/3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 17 - 335\/(-25)) + (-105233)\/(-5) a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 6*l + 0*l)*(1 + 2 - 2 + 0).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186749736819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585752 (base 12) to base 5.\nAnswer: 330413013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*n**3 + 2*n + 1379 wrt n?\nAnswer: 21*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228339 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 3*o + 412 - 1253 + 452 + 420. Let s = 7 + -14. Calculate f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 13*r + 8. Let k(b) = -b**2 - 6*b + 4. Let w(q) = 4*c(q) - 10*k(q). Find a such that w(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-2*s**5 + 0*s**2 + 0*s**2) - s**5 + 3 - 4 + 0 + 0*s**5 + s**5 - 2*s**5.\nAnswer: 6*s**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*r**2 + 9204*r + 301716.\nAnswer: 3*(r + 58)*(23*r + 1734)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7648.261 litres to millilitres.\nAnswer: 7648261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2.8 (b) 10\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367055 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from gobgvbvggbbfogfobv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = o. Let t(w) = -9 + o - 4*w - w. Let m(h) = h. Calculate m(t(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 411*g**2 - 10812*g + 36672.\nAnswer: 3*(g - 4)*(137*g - 3056)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(0 + 0 + -1). Let a(i) = -i**3 - 6*i**2 + 4*i + 3. Let j(x) = 3*x**3 + 12*x**2 - 9*x - 5. Let r(k) = -5*a(k) - 2*j(k). Does 5 divide r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 - 285*z - 81. Let m be q(32). Solve -w - 5*i + 15 = 0, m*w - 12*w - 3*i + 9 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -718, -1455, -2192, -2929, -3666, -4403?\n\"Answer: -737*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -4*c + n, 14*c - 15*n - 1001 + 1145 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25238.\nAnswer: 2, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + 2)\/2 + 80. Let i = 25 + -59. Let o = i + q. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -2*z + 7*z - 10, 3*z - 2*o = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 52. Let y = p + 0. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p - 6. Let l(g) be the first derivative of 3*g**2\/2 - 2*g + 52. What is 7*l(s) - 2*m(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - g - 14889 = 0, w - 3*g + 2033 - 9475 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/4 - 3*l**3\/2 - 3*l. Let k(w) = 0. What is w?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -1\/3*c**3 + 0 - 1\/12*c**4 + 7\/120*c**5 + 0*c + 1\/90*c**6 - c**2. Let l(i) be the first derivative of g(i). Factor l(a).\nAnswer: (a + 2)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.011 * -0.3.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1776 (b) 10 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -264 + 1?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 5 - 1 - 3*v. Let i = 1 - 5. Let k(t) = 17*t + 17. Let o(n) = -68*n - 68. Let d(r) = 17*k(r) + 4*o(r). Determine i*d(g) - 11*w(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-67 + 1)*(-66 - 8) and 38\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -277667510 rounded to the nearest 1000000?\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*c - 6*c - 476, -c = b - 113. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 27*i + 5290. Let t(p) = -40*p - 5289. What is 2*t(w) + 3*u(w)?\nAnswer: w + 5292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7246.371t?\nAnswer: 7246371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-2*(-1)\/(-2). Suppose -4*o + 4 + 10 = 2*y, y + 3*o - 6 = 0. Calculate the remainder when (26\/u)\/(2\/(-6)) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -8. Suppose -4*x = -4*r - 44, -2*x - 2 = 3*r + o. Suppose j + 3*w = 49, -j + x*j - 193 = -2*w. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 668 = -4*z, 5*p = -4*z + 33 + 633. What is the remainder when z is divided by 44\/(-2 + 3) + -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 713 = 87. What is the least common multiple of c and 64?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 3. Let g(s) = -s - j*s + s. Let f(v) = v - 3. Let o(d) = 2*d - 5. Let c(p) = 10*f(p) - 6*o(p). Give c(g(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -66 + 0 + -2 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-3)\/(-6))*47348770\/21. Suppose -4*x + i = -3*o - 16617930, 0 = 3*x + o - 15000005. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 16*g - 46. Let b be u(4). Solve 0 = -b*r - q + 15, -5*r = -2*r - 5*q + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 7*i**2 - 6*i - 19. What is q(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 0.4. Which is the second biggest value? (a) -0.04 (b) -1\/3 (c) o (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/13)*k*k)\/(k\/(k\/((k*(k**(-3)*k)\/k)\/k))*k))**(-10) assuming k is positive.\nAnswer: k**(-790\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose -4*o - l*y + 47 + 4 = 0, -2*o + 3*y = -3. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 1, c: 2, h: 1}. What is prob of picking 4 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 3, 1, 2, 2.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326804, -653577, -980346, -1307111, -1633872, -1960629, -2287382?\nAnswer: -2614131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 + 5 = 0. Let t(u) = -18*u**3 - u**2 + u. Let k be t(1). Let o = k - f. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/5)\/(213\/355).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8 = 2*h + 2*t + 6*t, 37 = -39*h - t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21071 or 21073?\nAnswer: 21071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4163 - -1012465?\nAnswer: 1005302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 3*c**4 + c**4 + (-2*c + c + 0*c)*(0 + 3*c**3 + 0).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v**2 + v + 1. Give z(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 462641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 8480.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/(2\/4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let r = v + 14. What is the common denominator of 1\/r*(-365)\/(-4) and -97\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179719111 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341844068 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747973305.\nAnswer: 3, 5, 97, 57119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 169.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvqqqqqv. Give prob of picking 4 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 = 41*x - 44*x. Calculate the remainder when x is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3066615\/13 - 235893. What is h in -n - 12\/13*h**2 + 38\/13*h = 0?\nAnswer: 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2250*n - 42764. Give t(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75239.449 + 0.4.\nAnswer: -75239.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 142*i. Let s(u) = -106858*u. Determine s(p(z)).\nAnswer: -106858*z**2 - 15173836*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19357, -38769, -58181, -77593, -97005?\nAnswer: -116417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llplpvl. Give prob of picking 2 p and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*q - 21*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*(1 + sqrt(176)) - sqrt(176)))**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*n + 867 - 841, -5*o = -5*n - 10. Which is smaller: 0.043 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2. Let m(y) = 2343*y - 2. Determine d(m(z)).\nAnswer: 21958596*z**2 - 37488*z + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**4 + 236*t**3 - 3100*t**2 - 11532*t = 0?\nAnswer: -3, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/4)\/(((-10)\/4)\/(-5)). Suppose -m + 10 = -f*m. Let v be ((-75)\/5)\/(-3) + m. Solve 5*a + l = 2*l + 22, -5*a - 3*l + 14 = v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 5. Let n be q(3). Suppose 0 = n*u - 3*d - 137, -4*u + 2*d - 250 = -8*u. What is the greatest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-50)*(7\/7*5)\/(-3).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 6\/11, 16.651, -135?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 666647748 and 666647748 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -373 - -2*(0 - 1). Let s(w) = -w**3 - 38*w**2 - 35*w + 82. Let m be s(-37). Let h be c\/(-6)*m\/(-10). Which is smaller: -49 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-22)\/(-6))\/(30\/(-5760)). Let n = g - 323. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: baa (base 13) to base 2\nAnswer: 11111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*y - 170, -4804*y = -4805*y + 19 + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m**2 - 2. Let l(d) = -51*d**2 + 5. Give 2*l(x) + 5*u(x).\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from dzzqdhdwhdwdqwh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + u**3 - 3*u**3)*(-16 - 9216*u**2 + 4 + 9196*u**2).\nAnswer: -40*u**5 - 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 258 - 250. What is the remainder when 1\/(1\/(-42)*-2) is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-18))\/(30\/(-27))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 64186 = -934. Round p to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3419*u = 3418*u - 6843*u - 245, 0 = 8*u + 360 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -910?\nAnswer: -3\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 74. Let z be (0\/1)\/((-12 - -19) + -5). Calculate the remainder when o(z) is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/400)\/(38\/(-10)). Let k(n) be the third derivative of -2\/285*n**5 + 1\/285*n**7 + 0*n**3 + 0 + j*n**6 + 0*n + 0*n**4 + 13*n**2. Solve k(m) = 0.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -7c?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 - 51 - 53 - 466*y + 156.\nAnswer: -466*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -0*t - 3*t - 6, 5*d + 17 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2080 divided by 13.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/(-20)*(-10)\/(-4). Suppose -6*n - 2 + s = 0. Solve 2*x - 10 - 10 = -n*m, -12 = -2*x - 2*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5) + (-3 - -5 - -1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(17\/2)\/v))\/(v*v\/v**(-40)*v*v) assuming v is positive.\nAnswer: v**(-101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1682266 by 73142.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 6. Let o(b) = b**2. Let r be o(-2). Sort r, y, -4.\nAnswer: y, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/54 + (686\/(-15) - -42)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaar when four letters picked without replacement from {a: 5, f: 2, p: 4, r: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-14) + (-14)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784805588.\nAnswer: 2, 7, 151, 185621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3344145*a**2 + 1891722*a wrt a.\nAnswer: -6688290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.52 (b) -0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -12*a**2 + 2*a - 2. Let l(p) = -73*p + 316*p - 72*p - 13 - 73*p**2 - 80*p - 78*p. Give -39*g(t) + 6*l(t).\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1273 and 3283?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.69043 - -0.69. Round c to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 12 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.021? (a) 0.018 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213182600 divided by 100.\nAnswer: 2131826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1283 - 479 - 45*o**3 - 804.\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -37*t**2 - 260*t + 3. Let l be z(-7). Let o be (-7)\/((-35)\/30) + 3. Solve l*b - 5 = o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/((-14)\/(-392)*-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-5 - (-30 - -9) - (20 + -34))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jtttjljttl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 11. Factor -39*q**2 + q**4 - c*q**3 + 11*q - 47*q - 12 - 3*q**4 - q**4.\nAnswer: -3*(q + 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 6*s**2 - 9*s + 10. Let o be (-2)\/((3 + (-2 - -1))\/(-3)). Suppose -4*a + 19 = d, -2*a + 36 = o*d + 3*a. Give q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -958.26474 rounded to 1 dp?\nAnswer: -958.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1484 is divided by 219?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 9. Give t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7266580 by -2.\nAnswer: 3633290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -1\/6, 36?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/10 + 74\/10 - (-26 - 4333)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3272, 12997, 29208, 51911, 81112, 116817?\nAnswer: 159032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*u + 49*u - 44*u - 50*u - 46*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*b, 0 = -310*b + 312*b + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2697642*v**2 + 5395370*v**2 - 2697690*v**2.\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 11*t = 11. Let v = 187 + -132. Let q be 2\/((v\/6)\/(-5)). Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 3)*(-2 + 4 + 3) + 0 + 4 - 1 - 5 + 0 + 3)*(9*x**3 + x**3 - 3*x**3).\nAnswer: 147*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-6 + 1*(-4 + 3)). Suppose 26 = 4*l + 3*o + f, l = 2*o - 6. Suppose -5*q + 4*h = -18, 0*q + h - 2 = -l*q. Solve 0*s - 8 = q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, -73, -307, -639, -1069, -1597?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4261719*g + 11815675?\nAnswer: 4261719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4673*z = -4668*z - 7*b - 197, 0 = 2*z + 4*b - 72. Suppose 5*i - 14 = -4. What is the greatest common factor of z and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 123492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*q = 0. Suppose q*h - y + 137 = 3*h, -4*h = 4*y - 188. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*a + 23. Let p(k) = -k**2 - 7*k + 4. What is p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, -0.196068?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -570 - -72. What is the units digit of (-198)\/27*z\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3453 and 0.3?\nAnswer: 0.10359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let g be j\/4*-2 + -1. Solve -5*y - 2*b - b - 10 = g, 0 = -y - 4*b + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738a (base 11) in base 6?\nAnswer: 113134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - n**2)*(n + 4*n - 4*n) + 2*n**3 - 3*n**3 - 2*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 273, -4, -5 in increasing order.\nAnswer: -5, -4, 5, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) + -1))*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100101010100 - 10?\nAnswer: 10100101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 6:18 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2130442?\nAnswer: -2130444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2625 and 62625?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 7:07 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - p**3 - 2*p**2 + 5*p**3 - 1 - 3*p**3 in the form w*p + g*p**2 + u*p**3 + k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0153286 to 5 decimal places.\nAnswer: 0.01533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 166710492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7956913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90354*l**4 - 4*l + 9428.\nAnswer: 1084248*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1915216.\nAnswer: 1\/1915216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 503, 1508, 2513, 3518, 4523?\nAnswer: 5528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1946405802 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102020 (base 4) to base 6.\nAnswer: 5212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 9*l - 10249 + 10221, -q = 6*l - 5*l - 12 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(6\/5))\/x)\/((x**(-2\/21)\/x)\/x))**10 assuming x is positive.\nAnswer: x**(902\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(468) + sqrt(468)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07804 or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = j - 0, -4*j - 5*b = -66. Calculate the lowest common multiple of j + 14\/((-14)\/7) and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02111*0.15\nAnswer: -0.0031665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4 - 13*i + 12 + 6 - 5 - 2*i**2. Let m(l) = -l**3 + 18*l**2 + 2*l - 43. Let v be m(18). Let k be r(v). Are k and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -2\/7 (c) -0.3 (d) -3 (e) 1.76\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -4\/9, -46, 18\/5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -738.3 - -738. Let b = 3 - 5. Let x = b + 1.9. Sort d, x, -1 in decreasing order.\nAnswer: x, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(110) - 2*sqrt(110)*-3)\/(1*sqrt(1440) + sqrt(1440) + sqrt(1440) - (-2*sqrt(1000) + sqrt(10))).\nAnswer: 14*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -26910100 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(567) + sqrt(567)*3)**2 + 0 + 5 + 0)*-2*2*-2.\nAnswer: 72656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y, -3*i + 9 = -y + 3*y. Suppose p + i + 1 = 0. Sort p, 1, 3.\nAnswer: p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from kckfkcnskssskckk?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 27*u**2 - 11*u + 28. Let v be d(-13). Suppose v*b = -4*f + 730, -2*f + 3*b + 907 = 3*f. What are the prime factors of f?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8520489243.\nAnswer: 3, 7, 1213, 111497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25851 - 25851.00026367. Round g to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4082 - -3425.6. Let j = -835 - x. Round j to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -96, -11, 0.5, -7\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226382 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 12, y: 4, l: 4}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -583041*w**5 - 1004105*w.\nAnswer: -11660820*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*y + 11*y. Calculate the smallest common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (48\/32 - (299\/26 + -2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 8 - 4) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 19*d - 2. What is the remainder when 65 is divided by k(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**3*l**4 - d**3*l + 192*d**3 + 6857*d*l**4 - 15*d*l**2 wrt l.\nAnswer: 96*d**3*l + 164568*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2 - 2. Let u(a) = 7*a + 4. Let o(g) = -10*g - 3 + 2*g - 2. Let m(n) = 4*o(n) + 5*u(n). Give m(t(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7592 - 1.8. Let f = -0.15 - -0.19. Let w = f + m. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-28) + -1)*(-56)\/(-84)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (46*q - 42*q + 6*q**2 - 2*q**2)*(-2*q + 6*q - 2*q + (-2 + q + 2)*(3 - 1 + 0) - q + 6*q + q - 8*q + q + 0*q) as l*q + u*q**3 + j*q**2 + d and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 + 0*x**2 + 162 - 162. Let b(k) = -2*k. Let y(d) = -3*d. Suppose -5 = q - r + 2, q - 4*r = -13. Let c(n) = q*y(n) + 7*b(n). Determine c(v(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -0.5912, -5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10890894*r + 10890850*r + 836 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.19806769 rounded to two dps?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 806 by -426.\nAnswer: -403\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**4 - 13*f**4 + 25*f**4 + (-f**2 - 5 + 5)*(2*f**2 - 4*f**2 + f**2) + (2*f**2 - 5*f**2 + 0*f**2)*(5*f**2 + 2*f**2 - 2*f**2).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**4\/24 - 13*y**3\/6 + 4*y**2. Suppose 0 = -5*k - 112 + 372. Suppose k*i = 62*i. What is g(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and -2.016.\nAnswer: -94.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 28, 8, -48, -152, -316, -552, -872?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2781434 or -65?\nAnswer: -2781434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Suppose -y*b + d + 0*d = -27, -5*d - 25 = -3*b. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2545, 3300, 4055?\n\"Answer: 755*l + 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -23*b + 17. Let a(x) = x - 3. Let i(k) = 6*a(k) + o(k). Let y(w) = -84*w - 5. What is 11*i(n) - 2*y(n)?\nAnswer: -19*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19958, 3 in descending order.\nAnswer: 19958, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144479?\nAnswer: 144479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108*c*s**3 - 2905*c*s**2 + 3*c*s + 5463*c + s + 4 wrt s?\nAnswer: 648*c*s - 5810*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ahaaaaaahaa. Give prob of sequence aaa.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Suppose 3*s - 75 = -3*k + 5*s, -4*k + 4*s = -96. Let d = -21 + k. Let p(c) = -306 + d*c**2 + 306. Calculate h(p(f)).\nAnswer: -72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((0 - -4) + 0) - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from {n: 1, e: 2, t: 2, q: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 606?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 136*j - 169, -4*f + 160 - 297 = -5*j for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:55 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10720 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 2, i: 1, t: 11, l: 1}. Give prob of picking 1 i and 2 t.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -34. What is the highest common divisor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u - 98. Let s be h(-13). Solve -2*d = -2 - s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020087151 rounded to 7 decimal places?\nAnswer: -0.0002009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 3 - 1) + 1. Let r be 1 - (-1 + (-3 - y)). Solve 12 = r*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 9 + 7 = 0, 2*j - 4*p - 12 = 0. Suppose 10 = j*c + 4*y, -68*y + 67*y + 34 = 4*c. Is 10 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -777 + -5?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8610 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 671*z - 3613. Let m(i) = 2*i**2 - 673*i + 3612. Let u(j) = 4*m(j) + 5*t(j). Find the first derivative of u(v) wrt v.\nAnswer: 6*v + 663","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 283, 433, 581, 727, 871, 1013?\n\"Answer: -a**2 + 153*a + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 63 = 6*u. Suppose -s = -w - 5, -s = 3*s - 5*w - u. Suppose s*l = -4*c + 120, c - 3*l - l - 40 = 0. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let f(s) = -s. Let a(x) = -5*f(x) - 3*l(x). Let n = 37 + -37. Let i(m) = n*m**2 + m**2 - 2*m**2. Calculate a(i(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 - 2.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**3*k**5 + g**3*k + 3*g**2 - 2*g*k + 549818*k**5 + 3474*k wrt k?\nAnswer: 20*g**3*k**3 + 10996360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -93*j - 121. Let d(i) = -94*i - 120. Let v(c) = 6*d(c) - 5*p(c). Let u(y) = 33*y + 38. Let k(g) = 8*u(g) + 3*v(g). Is 8 a factor of k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20 and 131\/100002?\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-28)\/12 - (19 - 32). Let f(o) = o**3 - 6*o - 6. Let z(l) = l**3 - 5*l - 5. Suppose -15 = v + 2*v. What is g*z(s) + v*f(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0.77, -0.5 in decreasing order.\nAnswer: 0.77, 4\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-4\/13))\/p**27)\/((p**(-15)\/p)\/p**(1\/2)))**(1\/4) assuming p is positive.\nAnswer: p**(-239\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 206*i**2 + 191*i - 10. Determine p(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1132033?\nAnswer: -1132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 - 168. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.1, 0.0548, -0.3 in ascending order.\nAnswer: -0.3, 0.0548, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -14*z - 331. Calculate s(-16).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4113 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 632, 1025, 1172, 1073, 728, 137?\n\"Answer: -123*t**2 + 762*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - y = -350, -6*y = -2*y. Calculate the highest common divisor of 42 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-920)\/380)\/(-23) - 462\/57?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4665144 is divided by 31953.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111000 - -122?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*w**4 + 0*w**2 - w**2 - 29*w**4 + 2*w**3 to a*w**2 + q*w + u + d*w**4 + k*w**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*x - 31 = -387*x + 3*u, 0 = 5*x - 4*u - 35. Let l = -12 - -7. Let q = l - -2. Which is the closest to x? (a) 2 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Suppose 3*v - n = u, 0*v - 3 = u - 5*v. Factor 0 + u - o**2 - 6 + 5.\nAnswer: -(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61323*8\nAnswer: -490584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-78)\/176)\/((-33)\/(-22)). Let s = 1\/22 + p. What is the closest to s in 0, 4\/7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 23. Let g = l - 7. Let t(c) be the first derivative of -c**2 + 6*c - 1. Let w(a) = 2*a - 5. What is g*w(u) - 3*t(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 - (0 - 2)) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*c*m*x**3 + c*m - c*x**3 + 11*c*x - 4*c + m*x**3 - x wrt x.\nAnswer: -114*c*m*x - 6*c*x + 6*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11783375 or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y - 9. Solve -y*l + 4*k + 22 = 0, -2*l = -3*k - 26 + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21856502 is divided by 80.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1706 (base 11) to base 14.\nAnswer: -b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -21*z**2 - 128*z + 4. Let d be y(-6). Solve -d = -2*c - 5*s, s - 14 = -3*c - 4*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31456*i + 15 = 31461*i - 2*n, i = -4*n + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**3 + 6*d**2 + 4*d - 5. Let l(x) be the first derivative of 7\/3*x**3 + 5\/2*x**2 - 6*x - 6 + 7\/4*x**4. What is 5*h(a) - 4*l(a)?\nAnswer: 2*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/354 and -53\/318875766?\nAnswer: 318875766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, 5*l - 364 - 383 = -d. List the prime factors of l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (-61 + 33)) + -1 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 27322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12652\/1547 + -292\/221. Let -q - 6\/7*n**3 + 60\/7*n - 6\/7*n**2 = 0. What is n?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6. Let b(n) be the first derivative of 1\/3*n**3 - 2 + r*n**2 - 2*n. Calculate b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 6}. What is prob of picking 2 e and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 831 + 917. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 460, 445, 412, 355, 268, 145, -20?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + a**3 - 2*a**3 + 2*a**3 + a**3 + 7*a**3 - 2*a**3 + (-3 + 3 - 2*a**3)*(1 + 1 + 0) in the form c*a**2 + z + n*a + p*a**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5281*66953.\nAnswer: 353578793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0869 and -0.3.\nAnswer: -0.3869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2 + 33*i**2 + 3\/2*i**4 - 36*i - 12*i**3.\nAnswer: 3*(i - 3)**2*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 937795105?\nAnswer: -937795105.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - ((-28576)\/(-48))\/19 - (-1)\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277815 is divided by 310?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145113 + 4166542 = 4647*g + 30805*g - 77049 for g.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -49 (b) -4 (c) 1\/5 (d) -123 (e) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l. Let c = 1127 + -1131. Put 1, l, c, 5 in decreasing order.\nAnswer: 5, 1, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 18*a**2 + a + 19. Let l be k(-18). What is the third smallest value in -3, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -240?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 207*j - 662. Give x(7).\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-9 - ((7 - 6) + 5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 11. Let k = o - -29. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795840 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 37?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 105 = -18*g. Suppose 0 = -4*a - 2*j + 7*j + 50112, g*a - 62627 = 3*j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.136096 kilometers?\nAnswer: 413609.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 5*w**3 - 2*w**3 + 12*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 674553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**4 - 750*q**2 + 23608 wrt q.\nAnswer: -44*q**3 - 1500*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by -5\nAnswer: 357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.80284 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 441 + 468. Let h(y) = -101 + j - 2*y. Let c(r) = 12*r**2. What is c(h(z))?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*d, 5*d - 18 = -2*c + 3. Let u be (126\/(-27))\/((-2)\/c). Let q(n) = 5*n + 10. Does 22 divide q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1009\/40 + -128\/5. What is the biggest value in 0, 4, -2\/5, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 2. Let d be h(-4). Let z be ((-1332)\/2)\/((-20)\/d). Let b = z - 761. What is b rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6360?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 - 63*t**3 + 135*t**2 + 471*t + 270.\nAnswer: 3*(t - 18)*(t - 5)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -349*x**3 + 5*x**2 + 10*x - 5. Let j(v) = -97371*v**3 + 1396*v**2 + 2792*v - 1396. Determine -1396*a(t) + 5*j(t).\nAnswer: 349*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o + 67. Let i be n(7). Solve 2*x - 7 = 5*j + 5*x, 4*x + 12 = -i*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035908933 to six decimal places.\nAnswer: 0.003591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7 - 3) + -1 - -1) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*d**2 + 0 - 5 + 5 + 254*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -54. Suppose -4*y = 6*y - c. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 + 119 = -46*a + 122 + 90 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by 4?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 247 = 463 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 173294.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + w = -w - 588, -3*w - 592 = -5*p. What is the remainder when p is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (2 - 3) - 4) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v**4 + 3*v**3 - 3*v**2 - 6. Let p(j) = -j**4 + j**3 - j**2. Let m(d) = -h(d) + 3*p(d). Differentiate m(w) wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)*(-79)\/(-9). Let q(z) = z**2 + 12*z - 76. Let i be q(-17). Let v = r + i. Which is the third smallest value? (a) 0 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t**3 - 1 + 0*t**4 + 0*t - 1\/20*t**5 + 49*t**2. Let n(o) = -10*o. Calculate n(r(g)).\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 480752133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, v: 4, i: 4}. Give prob of picking 1 v and 2 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -15422 divided by 1402?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1608529\nAnswer: 804264.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 45226816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**2\/2 - 102*t. Let d(p) = -p - 9. Give -4*b(z) + d(z).\nAnswer: -z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/((-20)\/50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 = -5*j + 1155. Let o(v) = v**3 + v**2. Let u(w) = -2*w**3 - 3*w**2. Calculate j*o(k) - 3*u(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -42.2, -1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 35578954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240 and 1480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 6. Let h be u(9). Let t = -639 - -639. Put -1, t, 2, h in descending order.\nAnswer: 2, t, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*c*f*j - 3*c*f - 61*c - 55*f*j**3 - f*j**2 + f - 11 wrt j?\nAnswer: 33*c*f - 165*f*j**2 - 2*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167211624 - 97211624. Suppose t + 3*t = j. Round t to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {f: 2, s: 1, z: 3, d: 4, n: 4, r: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37 by -524.\nAnswer: 37\/524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 + -15 + ((-295)\/(-1408) - 0). Let a = 149\/128 - p. Find the common denominator of 63\/650 and a.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -j - 6, 4*u + j = 3*u + 12. Suppose -2*z + u = 1. What is the lowest common multiple of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5254*a + 94567. Give q(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0967 or -8183?\nAnswer: -8183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -50. Suppose -2*g = -3*y - 16, 3*y + 4*g + g = p. Let a = 12 + y. Calculate the smallest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.3 (b) -2\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -146, -303, -512, -767?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/35? (a) 5 (b) -283 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 69*v**2 - 1890*v - 105938. Calculate h(-65).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*n**4 + 17*n**3 - 17*n**3 + (-2*n**3 + 1 - 1)*(-4*n - n + 2*n).\nAnswer: -13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/4 and -28\/1255507?\nAnswer: 5022028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*v = 27, -r + 14 = r + 2*v. Let z = r - -1. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*s - 55 = -66*s. Solve 3 = -s*k + 23 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 5\/2*l**3 + 5\/12*l**4 + 0 + 6*l - 10*l**2. Factor f(s).\nAnswer: 5*(s - 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7600253 to three decimal places.\nAnswer: 7.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -17*42\/105*-65?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 85323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 56*x + 7. Let v(o) = -2*o**2 + 181*o + 23. What is 14*n(h) - 4*v(h)?\nAnswer: 8*h**2 + 60*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3167*y = -3077*y + 720 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(325) + 5.\nAnswer: 9 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.5276119 decades?\nAnswer: 63.313428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77 - b?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 787689 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105.82 + -0.18. Let i = 118 + p. What is the smallest value in 0.5, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19577 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: Let t be (-6)\/(-2)*(-1)\/7. Let g = -80 + 226. Let q = 149 - g. What is the second biggest value in q, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 1. Let z(y) = 6*y**2 - 3*y + 2. What is the smallest common multiple of i and z(2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - y = -10, -4*k - 5*y = -0*y - 41. Suppose -4*u = 2*g + 3*g - 9, -4*g + 28 = -2*u. Calculate the smallest common multiple of g and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(3\/10)\/(i**(-11)\/i**(2\/17)) assuming i is positive.\nAnswer: i**(189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -6*f + 5. Let u(c) = c**3 + 6*c**2 + 6*c - 1. Let z be u(f). Is (226\/z)\/(7\/(-21)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*g - 312 = 133*g + 129*g for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2082 - -2097. What is the remainder when 129 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15554, 15748, 16072, 16526?\nAnswer: 17110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -592\/3 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffnanf. What is prob of picking 1 n and 2 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10324875?\nAnswer: 3, 5, 11, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Suppose -r = u - 5. Is (-4)\/r - (3 - 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 594505258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 310, 296, 276, 250, 218?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, x: 1, l: 3, p: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*y + 40 = 29, 3*y + 29 = -5*d. Let u(c) = -c + 1. Let i be u(3). Sort i, -5, -3, d in ascending order.\nAnswer: -5, d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4\/9 + 2326*c**3\/9 + 19592*c**2\/3 - 3330*c = 0. What is c?\nAnswer: -555, -27, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -10, -4\/3, -0.07?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 6, q: 4, p: 3, f: 1}. Give prob of sequence gfpg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -12. Let q be ((-4)\/4)\/(0 + k). Let n = 253 - 1019\/4. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 2. Let q(y) = 6*y - 1. What is 2*m(z) + 3*q(z)?\nAnswer: 8*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/9)*m)\/(m*m\/(m**(-3)\/m)) assuming m is positive.\nAnswer: m**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9405267 * 0.07\nAnswer: -658368.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3\/5*a**5 - 3 + 0*a**4 - 1\/3*a**3 + 0*a + 0*a**2. What is the third derivative of i(p) wrt p?\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**4\/24 + 2*m**2. Let x(i) be the third derivative of 0 - 2*i**2 + 1\/12*i**4 + 0*i**3 + 0*i. What is f(x(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 343 + 78 = 0. Let k be ((-165)\/20 - -6)*-96. Let m = k + -197. Calculate the remainder when r is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1567630 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19062?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*q - 66*q - 32. Let g be ((-112)\/q)\/(2\/(-4)). Suppose 0 = g*j + 6*j - 26. What is the greatest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-655)\/280 - (-18 + 0)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = d - 22*f - 8549, 0 = -4*d - 2*f + 34188. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4127 times 81.71\nAnswer: 33.721717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 13 + 3. Let y = -4.437 + -0.063. Let w = y + 9.5. Which is the second biggest value? (a) s (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 44 = 2*g + 5*b, -2*g + 5*b = 4. Determine s so that 22*s - 18*s**2 - 20*s**2 + 8*s**2 + g*s**3 - 4 + 4*s**2 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/4 - 60347*v**2\/4 - 230175344*v - 77185290343 = 0. Calculate v.\nAnswer: -30002, -343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1190 - -204. What is the remainder when g is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/40)\/13*(-5)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -17. Let s be ((-2)\/(-4))\/(1\/2). Let b = s - t. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3393769693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 0)\/((-3)\/(-8)). Let u be 2\/l - (-153)\/12. Calculate the highest common divisor of u and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -968 divided by 8.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-782)\/210 + 2\/(-15))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**6 + 49*k**4 + 376*k**2 wrt k.\nAnswer: 360*k**3 + 1176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*p + 4134595 = 4147015 for p.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87684 is divided by 43772.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.419 and -0.2.\nAnswer: -1.0838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = -4*z, 3*z - 3*a = -a + 17. Suppose -i + 4 = -0*l + 3*l, z*l - 2*i + 8 = 0. Solve 2*r - 3 - 5 = l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i - 2*x, -i - 4*i - 2 = 3*x. Let c be 2\/((-8)\/(-28) + 0). Suppose -2*j + c = -9. What is the lowest common multiple of i and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 52*o. Let g(i) = 5*i**2 - 42*i - 88. Determine g(c(j)).\nAnswer: 13520*j**2 - 2184*j - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -30598, 3 in decreasing order.\nAnswer: 3, -5, -30598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:25 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -81, -1, -73, 2 in increasing order.\nAnswer: -81, -73, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1837, -1839, -1843, -1849, -1857, -1867, -1879?\n\"Answer: -n**2 + n - 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 15, 19, 23?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 20*w**2 + 45*w - 28. Let x be r(22). Let v be (x - -1)*(0 + -4 - -3). Solve 4*a - v = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 18*s - 42. Let a be -4 + s\/(-9) - (0 - 1). Is 2\/17 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (1 - -1 - 8). Let w = 4 + 0. Suppose 2*m = 2*q, -2*m + w + 10 = 5*q. Is q < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -189, -2\/15, -2\/13, -0.5, 5, 0.7?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffpgppgpppgpg. Give prob of sequence fggf.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 8212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1720\/(-602)*(-21)\/2*(0 + -1) + 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/(-3) + -37. Let s = f - -50. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.7, 0.14, 164049.\nAnswer: -4.7, 0.14, 164049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213703149.\nAnswer: 3, 11, 137, 47269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 153 + -139. Suppose 3*t + 3*x + 42 = 0, 10 = -2*t + x - 21. Let k(v) = -v**2 - 17*v + 5. Let a be k(t). What is the highest common divisor of a and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 472 + -471.9164. Let k = z - 100.4836. What is k rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000010101001111111011110 + 0?\nAnswer: 10000000010101001111111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847317593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w**2 - w + (4 - 4 + 2*w)*(w + 2 - 2))*(7*w**2 - 7*w**2 + 3*w**3 + (12*w + 64 - 64)*(3*w**2 - w**2 - w**2)).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36))\/(19\/38)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -67 - 22 - (-257 + 143)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 612183 and 715?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1 + (-308)\/304). Let u = i - -560. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1327269\nAnswer: -4\/1327269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o**3 + 8*o. Let h(r) = r**3. Suppose 3*q + 14 = -2*k, 2*q - 21 = 5*k + 6*q. Let l(m) = k*g(m) - h(m). Find the second derivative of l(x) wrt x.\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18600 divided by 548.\nAnswer: -4650\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*1)\/((1 - 18)\/(-17))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204719891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 30 + -4 + -25?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 941779, 941776, 941771, 941764, 941755, 941744, 941731?\nAnswer: 941716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s\/s**(8\/3)))\/s)\/((s\/s**(-2\/11))\/s*s))\/(s**(2\/5))**(2\/17)*(s**(-1)\/s)**(-47)\/(s\/(s**8\/s*s*s)*s*s**(1\/6)) assuming s is positive.\nAnswer: s**(189377\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.98 - -0.02. Let n = 499.6 - 477. Let m = 19.6 - n. Which is the third biggest value? (a) 5 (b) m (c) 0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 7:51 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45843.4 millilitres?\nAnswer: 45.8434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21678?\nAnswer: 2, 3, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 6. Let t be o(3). Suppose 3*v + 3*z = -0*z + 9, 5*z - 6 = -2*v. Find the third derivative of t*x**5 - v*x**5 + 3*x**2 - 2*x**6 - 3*x**6 wrt x.\nAnswer: -600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*m + 46855 = -3*t, -3*m = -2*t - 18746. Let a = 20394 + t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v = 30*v - 627 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0565 - -261046160.5.\nAnswer: 261046160.5565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 5. Let g(l) = l**2 + 5*l + 2. Let u be g(-5). Suppose 0 = n - 3*n + s + q, 2*s = -u. Which is the closest to 0.1? (a) 4 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yeye when four letters picked without replacement from {b: 4, a: 3, y: 2, e: 2, s: 1}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13498)\/(-8) + (216\/32 - 7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.54 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55581263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -p + 15, 25*p + 5*x + 23 = 22*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -41*r - 80. Let w be y(-2). Let f(m) = 2*m**3 - m**2 - 2*m - 4. What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -r, 3*r - 14 = 3*w - 4*w. Let x = -12 + r. Which is smaller: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 0 - (1 - -13) - 0 - -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-4 + (-6)\/6). Suppose i = -37*z + 41 + 107. Solve -5*f + 30 = z*t, -t = -4*t - 2*f + 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2550, 2166, -4074, -19098, -45834, -87210?\n\"Answer: -488*v**3 + 3032*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -33 + 13*a - 14 + 10 - a**2. Let k be c(6). Suppose -1 + 5 = 2*u. Solve -2*y + 20 = -k*m, 0 = m + y + u*y - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*d = -607660, -w + 439*d - 441*d + 607657 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079 + -2 + (-1 + 0 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 76.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9837 - 9827. Let w = -48 - -83. Let g = w - -1. What is the lowest common multiple of t and g?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/(5\/30). Let d(v) = 13*v + 11. Let x be d(f). Let s = 150 - x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - -5 - (-19 + 18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 25*i - 23. Calculate the remainder when m(19) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1845, 1854, 1863, 1872, 1881, 1890?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001866 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 + 1. Let n(c) = -2*c**3 - 14*c**2 + 4*c + 9. Let k(s) = 3*m(s) + n(s). Let f be k(6). Let l = 785 + f. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 32, 37, 46, 59, 76?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -8 + -6 - (13 - (5 + 1 + -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3038)\/(-186) + (-20)\/15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*x - 52*x - 267 = -81 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -222 + k**3 - 7*k + 221 - 2*k**3 - 8*k**2 + k**2. Calculate r(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -1318, -2599?\n\"Answer: -1281*h + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -16.73.\nAnswer: -21.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 e when three letters picked without replacement from knttxkkktntxnkkek.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + j + j + (1282*j + 1715*j - 4033*j)*(-2 - 3 + 4) to s + y*j and give y.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -2\/15, -13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46533 is divided by 312?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*t + 332 = -5*t + 248, 2*d - 2*t - 74 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 12289, 1\/2, 1639, 2\/5 in ascending order.\nAnswer: 2\/5, 1\/2, 7, 1639, 12289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-11 - -2 - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -24*l + 894*l**3 + 7*l**4 - 100*l**2 + 21*l**4 - 942*l**3 = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -g + 2*g - 4*j, g + 17 = 5*j. Calculate the greatest common factor of 291 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (146340\/(-144))\/(1\/(-480)). What is u rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -391, -692, -825, -706, -251, 624, 2003?\nAnswer: 3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1332 - 649. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/31184 and -31\/80.\nAnswer: 155920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1639 is divided by 591.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*o - 1599107 = -1711967 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 11*j + 255. Give k(20).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 9, 0.04, 4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0415 + -0.041496087. Round j to 7 dps.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28039, 1\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 139*b**2 - 2*b + 180*b**2 + 2*b in the form k + c*b + u*b**2 and give u.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/24)\/((875\/(-20))\/35)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 5. Let l(c) be the third derivative of c**5\/30 + 35*c**3\/2 - 12*c**2 - 81*c + 1. What is l(i(a))?\nAnswer: 18*a**2 + 60*a + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/11, -0.013, 2\/19, -710?\nAnswer: -710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*d - 16*d - 4*d)*(2 - 2 - 4)*(4 + 3 - 5)*(1 - 1 - 2)*(-2*d - 1 + 1).\nAnswer: 2080*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -598 + 610. Put 0, 3, k, -3 in decreasing order.\nAnswer: k, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717912479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -77, -143, -229, -341?\n\"Answer: -u**3 - u**2 - 42*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/138 and -55\/72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/8 + 6447*n\/4 + 359487.\nAnswer: 3*(n + 236)*(n + 4062)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -2*i - 119. Suppose -i = -2*q + 21. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 650*x - 652*x - 5*o + 44, 42 = x + 5*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(4830\/(-414)*(-4)\/((-120)\/(-81))).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 159, 633, 1421, 2523?\n\"Answer: 157*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 488927649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 18 = 43. Suppose 0 = -38*f + 15 + 53 + 312. Calculate the lowest common multiple of (-4)\/w*(-3 + -2) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21550*h = 1154449 - 444270 + 468145 + 1084426 for h.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 955 = 4*t + t, -3*u + t = -561. Let f = -121079 + 121126. What is the greatest common divisor of u and f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.27 + -0.23. Let d = -10 - b. What is the third smallest value in -4, -2\/9, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 53. What is the smallest common multiple of i and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472501779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from {n: 8, x: 6, y: 3}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 3. Suppose 3*i = -3, 2*i = 2*k + 2*k - 14. Let s(p) be the first derivative of p**3\/3 + 2*p**2 - 4*p + 2. Determine k*s(x) - 4*u(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 208*t**3 - 3*t**2 + 6*t - 7. Let p(f) = f**3 - f**2 - 3. Let o(y) = 3*p(y) - z(y). Find the second derivative of o(r) wrt r.\nAnswer: -1230*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(-5*o - 1 + o + o) + (-3 - 1 + 2)*(1 - 1 + o) - 42*o - 36*o - o to the form n + v*o and give v.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/49841484 and -95\/668?\nAnswer: 49841484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = d - 6*d + 2116, -12 = 4*n. Suppose -164*q + 163*q - 2*r = -35, -5*q + 2*r = -115. What is the highest common divisor of q and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/21, -4, -5, -26\/9 in decreasing order.\nAnswer: -20\/21, -26\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1417 to 3 decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5 (b) 0.4 (c) 45586 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18)*(-84)\/56.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*a = 11*a + 1245 + 365 + 1342 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 24 = 4*x, o - 5*x = -12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6*m - 4*o - 20, 4*m + 5*o = -24. Let l = m - -3. Suppose l*d - 218 = 48. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5507463 to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, y: 2, d: 1, b: 2, p: 3, z: 2}. What is prob of sequence lbpb?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1333137*a**3*k**3*q + 5*a**3*q - 2*a**2*k**2*q - 154*a**2*k**2 - 4*a**2*k*q - 77*k**3 + 3*k*q wrt a?\nAnswer: 7998822*k**3*q + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5658, 22389, 50274, 89313, 139506?\n\"Answer: 5577*o**2 + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 120.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 62 + 52 + 10.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5289907818171 minus -0.04?\nAnswer: 5289907818171.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - s - 15 = 0, -57*u - s = -57*u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 0 (c) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.16 + 1.66. Suppose 6*i - 36 = 3*i. Suppose i = 3*d + 3. Which is the second biggest value? (a) -0.3 (b) d (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (700\/78*1 - 9)\/(2\/(-26))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1218 and -3047.\nAnswer: 3711246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3298*l + 115431. Give b(35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-135)\/(-8))*(-2475)\/(-594)*(-12)\/10?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-1\/40)*z*z*z)\/z)**44 assuming z is positive.\nAnswer: z**(1749\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 (base 8) in base 3?\nAnswer: 2112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v = -20. Is 10 a factor of (5\/2)\/(v\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 143*v - 3278. Is f(60) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u)**7\/(u*u**(-17)\/u*u\/(u**(-4\/5)*u)) assuming u is positive.\nAnswer: u**(-164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 117*k**2 - 15*k - 1. Determine o(1).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110101111 (base 2) to base 3.\nAnswer: 120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606011870 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020283 rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + m**2 + m**2 + 143*m + 199*m.\nAnswer: -4*m**2 + 342*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -30*u - 108. Let r be y(-4). Suppose 0 = -t + m + 1122, 2*m + r = 2. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 88*p**2. Let h(f) = 1142063*f. What is h(r(o))?\nAnswer: 100501544*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 e when three letters picked without replacement from {d: 1, u: 2, t: 2, e: 2, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*n + 114 = 0, 0*n - 4*n - 201 = -3*l. Let v be (-2)\/9 - (-1715)\/l. Let q be ((-2)\/3)\/(18\/v). Put q, -6, -4 in increasing order.\nAnswer: -6, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -121*w - 12. Let h(f) = -f**2 + 6*f - 8. Let b be h(6). Let c be v(b). Suppose 0 = 16*s - 12*s - c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 176\/36)\/(10 - 416\/39). Suppose 7\/3*l**2 + l**4 - r*l + 10\/3*l**3 - 4\/3 = 0. What is l?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**4\/9 - 364216*j**3\/9 - 242804*j**2\/3 + 364216*j\/9 + 728416\/9 = 0.\nAnswer: -91052, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -2 - ((-7 - -22) + -38) - (-8 + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4092565 divided by -818513.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 1\/6 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53765647 divided by -4?\nAnswer: 53765647\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*v + 14 = 4*v, i + 23 = 5*v. Suppose d = -i*l + 21, 94 = 4*d - l + 4*l. Solve 0*x + d = -5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 246.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24866, -24364, -23862, -23360, -22858?\n\"Answer: 502*o - 25368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2764305924 to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 257, 384, 511, 638, 765?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllflll. Give prob of picking 1 f and 3 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34384422?\nAnswer: 2, 3, 5730737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iipipiiqiiiiipii. What is prob of sequence ppqp?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.1452 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1879\/(-78918))\/((-3)\/54).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.005 + -3.805. Let b = -2.7 - w. Let d = 0.9 + b. Sort -0.5, 3, -1\/8, d.\nAnswer: -0.5, -1\/8, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -605 - -605.1. Let q = -21.2 - -22.2. What is the closest to q in -0.5, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**4 + n**2 + 7 + 2*n**4 - 3*n**2 + 5*n**4 as y*n + x*n**3 + u + i*n**2 + p*n**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 9*l**3 + 45*l**3 + 3*l + 0*l.\nAnswer: 36*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 184*g - 1860.\nAnswer: -4*(g - 31)*(g - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2ab3 (base 12) to base 15\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29164, -29141, -29120, -29101, -29084?\nAnswer: -29069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212303 - 132?\nAnswer: 212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 62. Suppose -4*b = -4*q + 12, -q + z = b + 3*q. Suppose -f - 2*u + 13 = 2*u, -u = b*f - 5. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5\/3 - 106*g**4 + 5*g**3\/3 + 530*g**2 - 4*g\/3 - 424 = 0.\nAnswer: -318, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 - 2*o - 1. Let b be h(-1). Suppose -2*z + 5*z + 6 = 0. Let p = z + b. Is 2 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -913*p**3 + 81*p**3 - 47*p**3 - 81*p**3.\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4338 and -2.\nAnswer: -0.8676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5 + 580*c - 9.\nAnswer: 580*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 20*x - 22. Let l be s(-21). Is 5\/21 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13656.8 rounded to the nearest 100?\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*f - 21*f + 105*f)*(5*f + f - f)*(2*f - 2*f + 2*f).\nAnswer: 1710*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = -6. Suppose -2 = -5*f - 4*l, -2*l - 1 = -4*f - 15. Sort o, -8, f in ascending order.\nAnswer: -8, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -104*s**3 + s**2 + s. Suppose u + 37 = 5*x + 11, -25 = -5*x. What are the prime factors of r(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2623220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.226728 - -0.227. Round t to five dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -5, 529, 2 in decreasing order.\nAnswer: 529, 5, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/((-20)\/1750*-25)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/11 (b) 1\/2 (c) 0.4 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -73, -71, -67, -61?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-30)\/4*13140\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 5, z: 2, b: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760*l = -2749 + 83709 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, -0.5, 1, 0.23, -37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 106\/5. Let v = 4.2 - 26.2. Let m = -26 - v. What is the smallest value in s, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 76*j**2 + 15*j + 25. Does 5 divide t(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r*r\/r**24))*r*r**(-3\/10)*r*(r*r*r*r\/(r*r**(-18\/11)*r))\/r**(-2\/103))**(-2\/21) assuming r is positive.\nAnswer: r**(199909\/118965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0467 - -0.0752433.\nAnswer: 0.0285433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107*v**4 + 3215*v**3 - 2*v - 1750213?\nAnswer: -428*v**3 + 9645*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -894, -844, -764, -654, -514?\n\"Answer: 15*o**2 + 5*o - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*g - 2, -k + 2*k - 5*g = 5. Suppose 5*z - 15 = k, 0*z - z - 1 = -2*m. Let x be ((-1)\/2 + 1)*0. Solve 7*a - m*a = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(5\/2)*m)**(-1\/47)\/((m**38\/m)\/m**25) assuming m is positive.\nAnswer: m**(-1135\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5420 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.02249 + 0.11.\nAnswer: 10.13249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**2 - 9*w - 5. Let k(d) = -3*d**3 + 47*d**2 - 40*d + 145. Let h be k(15). Let j(u) = 7*u**2 - 10*u - 6. What is h*j(x) + 6*s(x)?\nAnswer: x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7338, -13184, -17590, -20562, -22106, -22228?\n\"Answer: -a**3 + 726*a**2 - 8017*a - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 533*z - 12026. Calculate m(-22).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15869, -31777, -47687, -63599, -79513, -95429?\n\"Answer: -l**2 - 15905*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3737 - -0.4737. Which is smaller: 80.6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 3. Give k(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/6 + 3*x**2\/2 + 55*x + 50. Let c(b) be the first derivative of v(b). Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*k + 2*g + 11, 0 = 3*g + 15. Let x(w) = -5*w - 26. Calculate x(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from clljccpcppcjjpjl.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 105*z + 3. Let a(s) = 2*s - 302. Determine a(f(d)).\nAnswer: 210*d - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (3 - -9 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3093 - 3095. Which is the nearest to 1\/5? (a) 4 (b) -1\/9 (c) w (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7437184ng?\nAnswer: 0.0000000007437184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 9*h - 6. Calculate the smallest common multiple of h and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 16*z - 22. Determine f(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25706814*g**2 + 25706817*g**2 + 25706819*g**2 - 77120455*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13111200033 (base 4) in base 5?\nAnswer: 443014322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 u when four letters picked without replacement from {w: 6, b: 2, u: 9}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/39 + (-3695)\/(-65) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 7*i - 8. Let n be o(5). Suppose n*b + t = -3*b + 16, -3*t + 8 = 5*b. Solve 0 - 4 = d - 4*m, -b = -2*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111111000010001111 (base 2) in base 15?\nAnswer: a4290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from kzwwzwwwwhwrwkwwweew.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -19*t**2. Let j(i) = 1768*i**2. Calculate 2*j(u) + 187*z(u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 23 = 2*l - 3, -4*s - 46 = l. Let x(g) = g**2 + 11*g - 7. Let m be x(s). Solve m*o - 18 - 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.167 - -0.017. Let k = 0.35 + z. Let i(r) = 2*r - 5. Let x be i(5). Is k > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-6))\/(((-456)\/18)\/38)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 64. Determine k(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -1 + 5 + 2.\nAnswer: sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22704 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -458 + 262. Let o = l - -195. Sort 0, o, 2, -4 in descending order.\nAnswer: 2, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*w - 44, 5 = w - 23*g + 28*g. Let o(u) be the second derivative of 0 + 0*u**3 - 1\/3*u**2 + w*u + 1\/18*u**4. Solve o(l) = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20352 = 110*a - 78*a. What is the least common multiple of 60 and a?\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86125443.\nAnswer: 3, 28708481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 156*g**2 + 60*g - 9404. Give f(156).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6598219 (base 10) to base 2.\nAnswer: 11001001010111001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 27 = 5*f, 3*x - 1 - 10 = f. Suppose 0 = -x*s - 2*s. Suppose -3*b + 0*b - 2*w + 34 = s, -4*b + 2*w + 36 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 + 2052*n**3 - 2109440*n**2 + 2185232384*n\/3 - 4294967296 = 0. Calculate n.\nAnswer: 6, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 280703 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*w + 7452 = -23*w - 32*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1201)\/39633)\/((-3)\/55)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -432388*x**2 - 2674940*x.\nAnswer: -864776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10722296 is divided by 515?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3126116?\nAnswer: 2, 7, 97, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (564\/752)\/(14\/16 + -2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 * -11297.\nAnswer: -847275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 28165*z + 28167*z = 3, 0 = 5*r - 2*z + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 0.4, -20.9, -2\/13.\nAnswer: -20.9, -4, -2, -2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -10 - 0. Suppose l = 3*m - 4. Suppose -4*r**5 - 19*r**2 - 41*r**4 - 2*r**2 + r + 2 + 7*r**m - 56*r**3 - 8*r**5 = 0. What is r?\nAnswer: -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 364?\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -768 - -867. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341341 (base 7) in base 16?\nAnswer: ec80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 0 = m + m - 4*t - 158. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1\/(-1)*11. Let q be (-684)\/(-12) + (-1 - (0 + -1)). Suppose q*b - 462 = 24*b. Solve 5*h - b - s = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.462172 millilitres in litres?\nAnswer: 0.006462172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279, -548, -817, -1086, -1355?\nAnswer: -1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -899 - -904. Let b = -401\/9 + 45. Put -5, c, b in descending order.\nAnswer: c, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8d01aa1d - -5?\nAnswer: 8d01aa24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 23. Let y be u(-20). Let i(x) = -17*x + 71. What is the units digit of i(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 - 3*k**2)*(24 - 29 + 38) + (-12*k + 2*k + 3*k)*(-4*k + 2*k + k - k + 2 - 2 + (-k + 0*k + 3*k)*(0 + 1 - 3) + 0 + 0 + 2*k).\nAnswer: -71*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1797689 divided by 26.\nAnswer: -1797689\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 905 - 900. Suppose -8 = -4*t, 6 = g + 5*t - 2. Let u = 4 + -3. Which is the smallest value? (a) -0.3 (b) u (c) g (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 696 and 78.\nAnswer: 9048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 982975326 to the power of 1\/2, to the nearest integer?\nAnswer: 31352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/((-805)\/(-10))*357\/6. Solve 13*m = -4*m + f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/sqrt(28))\/(sqrt(9)\/(sqrt(3) + sqrt(192))).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -533392, -533394, -533398, -533404, -533412, -533422?\n\"Answer: -b**2 + b - 533392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {s: 2, x: 4, f: 2, m: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccgcjscll. What is prob of picking 1 c and 1 l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g**2 + g + 1. What is the least common multiple of 7 and h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 80*z**2 + 412*z - 336.\nAnswer: 4*(z - 12)*(z - 7)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/24512 and 16.\nAnswer: 24512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 11*o + 17. Calculate t(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.42 + 0.42. Suppose 0 = -t - 2 - 2. Which is the nearest to k? (a) 3 (b) -2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.88 - -20.880022478. Round u to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26936303?\nAnswer: 31, 41, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - y - 1)*(y + 5*y - 20*y + (3 - 6 + 2)*(-13*y + 3*y - 7*y)) as o*y + p + b*y**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 116 = -5*j, -j = 2*j + 6. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.98 and 9207.7.\nAnswer: 9201.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*c = 21, -270 = 2*q - 5*c - 251 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/7 + 492*d**4 + 986*d**3 - 10336*d**2\/7 - 13800*d\/7 + 13792\/7 = 0.\nAnswer: -2, 1, 1724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -260*j - 10138. Let i be d(-39). Solve -5*o = -i*l - 6*o + 1, -5*o = 3*l - 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2533 times -5\nAnswer: -12665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/1570 and 53\/20?\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 13) in base 6?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5764261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371055970?\nAnswer: 2, 5, 439, 84523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 25*v**6\/21 - 16*v**5\/7 + 3*v**4\/7 + 16*v**3\/21 + v**2\/7 + 8. Factor r(h).\nAnswer: 2*h*(h - 1)**2*(5*h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2043 or 1238?\nAnswer: 2\/2043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 257\/3372 - -2\/281. Put 0.06, -0.5, 0.1, c in increasing order.\nAnswer: -0.5, 0.06, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7 - 11)*(1143 - 6*x - 1055 + 2*x).\nAnswer: 48*x - 1056","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q + 6*q - 28*q**3 - 15*q + 8*q - 2 to h*q**2 + a*q**3 + m*q + z and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -18, 76, 172?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 1809, 3, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 - 2455980*q - 41750504 = 0.\nAnswer: -613978, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 1351*v - 2679. Calculate the remainder when 1804 is divided by g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 5*h + 27 + 28, -2*h - 2 - 5 + 3 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + l - 13 = 0, -4*z + 139*l = 138*l + 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631822 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(243)*-3 + 2 + (sqrt(243) - 1*(sqrt(243) + -3) - (sqrt(243) + 2 + -3 + sqrt(243) - sqrt(243)))**2 + 2.\nAnswer: -18*sqrt(3) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7210186213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, h: 1, c: 1, m: 3, f: 2}. What is prob of picking 3 m?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 99*b - 54*b + 78)*(2 - 5 + 1 + (3 + 2 - 6)*(-2 - 1 + 0) + 1 - 2 + 2).\nAnswer: -306*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/3 + 1732*p\/3 + 374978\/3 = 0. What is p?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18727\/315 + -402\/7. What is the common denominator of ((-34)\/60 - 1)*(3 - -1)\/(100\/20) and a?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((8\/24)\/((-6)\/18))\/((-2)\/168). Suppose 2*u = s - 5*s + 240, -2*s = 2*u - 232. Calculate the highest common factor of r and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/12, 0.3, -1\/4, 15, 3\/8 in decreasing order.\nAnswer: 15, 3\/8, 0.3, -1\/4, -7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 4. Let u = -32 - -45. Let a be s(u). Solve 0 = -a*y + 4*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*k**2 + 8*k**2 + 12*k**2 to n*k + g*k**2 + a and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 19971?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 13*m + 13. Let v be k(-11). Which is greater: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.15533913 rounded to 3 decimal places?\nAnswer: 23.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 2*h - 2*h)*(h + 0*h + 0*h) + 122*h - 30*h**3 - 122*h.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75424 divided by 2357.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let l be w(-5). Suppose 4*z - 7*z = -6. Does 17 divide (-2)\/l - (-39)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r. Let z(i) = -i**3 - 6*i**2 - 5*i + 3. Let b be z(-5). Let p(m) = -2 + 2 - 2 - m + b. Determine -n(k) + p(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-294)\/(-9261))\/(1\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 117 = 0, -58*g + 63*g + 21 = -21*y - 69 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -3577744845.\nAnswer: -3577744844.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 8*j - 10. Let p = -5 + j. Solve p*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -r + 84. Let q be -4*9\/r*1. What is the second smallest value in q, -3, 1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.28*-900303\nAnswer: -2052690.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198565795?\nAnswer: 5, 39713159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 - 16092*d**3\/5 + 643424*d**2 + 7801104*d\/5 + 2604672\/5 = 0. Calculate d.\nAnswer: -2, -2\/5, 399, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 2*m + 2. Let w(n) = -2*n**2 - 3*n - 3. Let u be -4 + -1 + 3 + -1. Let j(s) = u*k(s) - 2*w(s). Let c(p) = -2*p - p + 2*p. Give j(c(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 15*z**2\/2 + 7*z - 3. Suppose -21*s + 30 = -15*s. What is the units digit of a(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 436 - -27. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/4 + p**3 + 2*p**2 + 3*p - 12. Suppose 1 = -o - 1. Let k be u(o). Is k not equal to 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -276 + 287. Solve -3 = t - a - r, t + 5*a = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.9\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/200 and -33\/181760.\nAnswer: 908800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -91936\/31 + 2966. Let s = t - 1084\/93. Let i = 251\/6 + s. Calculate the common denominator of -76\/3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 9, -1, -11, -21?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 + 1. Let s(i) = -i**2 + 4*i + 12. Let a be s(5). Let c be f(a). Let x be 1 + (-1 - -1) + c. Solve 1 = -3*r - x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(((d*d**(6\/11))\/d)\/d)))\/(d\/(d*d*d*d*d*d**22)) assuming d is positive.\nAnswer: d**(281\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:14 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - 70\/(-6). Suppose 42 = 3*u - t. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036841326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, 197, -5, 5, 10 in descending order.\nAnswer: 197, 17, 10, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**3 - 5*c**2 + 2*c - 5. Let o be -3*15\/27*3. Let w(k) = k**3 - k**2 - 1. Calculate o*w(a) + r(a).\nAnswer: 3*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -325 - -31?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**2 + 20*z - 11. Let r be u(8). Calculate the least common multiple of (-36)\/48 - r\/4 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19144327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040244146 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, x: 7, y: 2, r: 1, k: 6}. What is prob of sequence pkpk?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:19 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25980370?\nAnswer: 2, 5, 13, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (8 - 1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366 = 4*f - 6*l, -f + 4*l + 5 + 89 = 0. Let s be 30\/(-4)*8\/(-6). What is the highest common divisor of f and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1\/116, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3640 + 99599 = 56*g - 809. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2288849441?\nAnswer: 2288849441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(11))*4 - ((sqrt(11) + 3)*6 + sqrt(11))) + -4)**2.\nAnswer: 108*sqrt(11) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 8. Suppose 0 = -7*l + 2*l. Suppose -5*i + 4*c = -6 + 3, 5*i + 1 = 2*c. Sort m, i, l in ascending order.\nAnswer: m, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7866.939 micrometers to kilometers.\nAnswer: 0.000007866939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = -6*b. Suppose 13*l = 4*d + 11*l - 2, b = -4*d + 4*l. What is the least common multiple of 11 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 122451\/1643 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1103, 2, 9\/55, -2.\nAnswer: -1103, -2, 9\/55, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 + 191*g**2 + 57*g + 2954. What is x(96)?\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.8 + -0.8. Let p = -0.05 + 7.55. Let l = p - s. What is the closest to -0.1 in l, 4, 4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*i + 22*i + 4*i - 9*i)*(2 + 3 - 2 + (-4 + 1 + 1)*(-4 + 4 - 1) + 1 - 2 + 3 + 3 + 0 - 1 + 7 + 3 - 2)*(4 - 4 + 2).\nAnswer: 1122*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 15 + 22 = 0, 4*j - v - 15 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/7)\/(g*g**(2\/39)\/g*g))\/(g**(4\/7)*g**(-2)) assuming g is positive.\nAnswer: g**(142\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148764734 - -0.643?\nAnswer: 148764734.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -2*g**2 + 1\/210*g**7 + 0*g**6 - 1\/30*g**5 + 0 + 0*g + 0*g**4 + 0*g**3. What is the third derivative of n(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -4) + 44 + -4 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145681.44466 less than -0.3?\nAnswer: -1145681.74466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/154*0)\/(1*(2 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -832 - -1843. Suppose -c = -3*h + 543. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w**3 - 7\/120*w**6 + 0*w**5 + 0 + 0*w - 7\/24*w**4 + 5*w**2. What is the second derivative of s(p) wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1109636077 and 50.\nAnswer: -1109636027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3428.\nAnswer: -3\/3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 328881.\nAnswer: 2302167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 998 + 2*v - 1000 + 3012 + 2*v - 1014.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89\/5563 - -16124557\/856702. Let g be (-681)\/2772 - (-1)\/4. Let r = g - y. Calculate the common denominator of 143\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 74. List the prime factors of 102*a + -4 + (2 - 5).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 13*y**2 - 2*y - 117 + y.\nAnswer: -13*y**2 + 2*y - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 1 + 20)*(-2*y**3 + y**3 + 0*y**3) + y**2 - 2*y - y**2 + 13 + 248*y**3 - 239*y**3 in the form b + l*y**3 + q*y + g*y**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3824 - -854612470.\nAnswer: 854608646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = y - 8921, -3*t - y = -3*y - 5363. Is 105 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/165*1008\/280.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 628?\nAnswer: 9420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/14, -4, -301\/3, -2\/13 in ascending order.\nAnswer: -301\/3, -4, -2\/13, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 h when three letters picked without replacement from hclhltlcllhlhcc.\nAnswer: 96\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f - 27 = -3*j, 5*f - 7 = 2*j. Suppose -3*a + 5*b + 58 = 0, -f*a - 4*b + 56 = -8*b. What is the first derivative of -a + 13 - k**2 + 9 wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t**2 + t. Let s be x(1). Suppose o - s = 3*u - 2*u, -3*o - 2*u = -57. Let n = o - 2. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 6*u**2 + 7. Let i be g(6). Solve 3*h - 4*d = i, -5*h + 0 = 4*d - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 2.274 (c) 236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c. Let x(o) = -o**2 - 6*o. What is 7*x(h) - 6*z(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 5, k: 7}. Give prob of sequence kpe.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/7, -2.5, -1\/3, 4\/3, 100\/49?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*r**2\/3 - 15107*r\/6 - 1079\/6 = 0. Calculate r.\nAnswer: -1079, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 164775672 divided by 711\nAnswer: 231752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/6 - 14*z**2. Let t(q) = 9*q + 14*q - 18*q. What is t(r(x))?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 5*i + 8. Let h be a(6). Solve -t + 2*t - h*g - 6 = 0, -2*g = 5*t + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2\/2 + 34. Suppose 8 = 3*a - 1. What is t(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(2\/7))*c*(c\/((((c\/((((c\/(c**(-22)\/c))\/c)\/c)\/c))\/c)\/c)\/c))\/c)\/(c**(3\/8)\/c)**40)**(-47) assuming c is positive.\nAnswer: c**(-16027\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = 3*a - 18, -4*a - 2*u + 10 = 0. Let m be (-1 + 26 - a) + 1. Suppose -4*y = y - m. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 15 + 3 = 0. What is the remainder when 3*(-1)\/g*140\/(-6) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -125 and -195.\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 8*x - 3*x. Calculate the smallest common multiple of (155 - 152)\/((-6)\/(-8)) and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(152) - -1*-1*sqrt(152) - ((sqrt(152) - (sqrt(152) + sqrt(152)*1)*2) + sqrt(152))))\/((-2*sqrt(80)*2)\/(sqrt(250) - 2*sqrt(250))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3 + 3)*(-1182*g + 3262*g + 2049*g).\nAnswer: -8258*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*p - 1292*p = -74508 for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.3 and 4.\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 181*g - 2*g**3 + 182*g - 6 + 6*g**4 in the form d*g + x + b*g**2 + n*g**4 + p*g**3 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2822496 + 6.09225. Let w = -0.19 - f. Round w to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuw when four letters picked without replacement from qwuuw.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009157266 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 - 0\/2)\/(7\/(-21)). Let k = d - -37. Put -5, -2, k in increasing order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 - 524 = -11*z. Calculate the remainder when z is divided by ((-10)\/3)\/((-20)\/90).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80*(-194)\/30555*-126?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*u**2 + 33*u**2 - 52*u**2 + (-2*u + u + 3*u)*(4*u + u - 6*u) + 3*u**2 - 3*u**2 + u**2)*(-2*u + 5*u**2 + 2*u).\nAnswer: -890*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*r - 8 = -0*d, -2*d = -r + 4. Let m = -4\/109 - 319\/218. Put d, 5, -6\/7, m in decreasing order.\nAnswer: 5, d, -6\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/95 and 37\/16206305.\nAnswer: 307919795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**3\/5 - 428*s**2\/5 + 416*s - 240.\nAnswer: 4*(s - 30)*(s - 5)*(3*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2 - 1. Suppose -16 = 5*u - 2*j, -3 + 7 = -2*j. Let w = u - 1. Put w, 7, m in decreasing order.\nAnswer: 7, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -201*((-2)\/34)\/(((-6237)\/357)\/99)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5648 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4496*u + 19670 - 20290 + 15987 = -119513 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*f**2 - 1936*d*f - 773*d*x**2 + 4*d - 336*f**2*x + 2*f**2 - 4*f*x**2 + 23*f with respect to x.\nAnswer: -1546*d*x - 336*f**2 - 8*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (5 - 3) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ea when two letters picked without replacement from ttaetntnetaatnttn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20747 + 1527 + 2016 = 72*q + 181*q for q.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.00331 (b) 3 (c) -1 (d) 0 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1117, 1, 2, 0 in decreasing order.\nAnswer: 1117, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-90) + (-207)\/60.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/156 - (1 + 1\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-2)\/(-96) - (3\/36 - 0).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 3, t: 1, b: 1, k: 2}. What is prob of picking 1 h and 1 v?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4083573 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1364, -2796, -4278, -5858, -7584, -9504, -11666, -14118?\nAnswer: -16908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 21*f - 10. Calculate p(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6417 (base 8) in base 12?\nAnswer: 1b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -60, -106, -152, -198, -244?\n\"Answer: -46*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3917 and 112144.\nAnswer: 108227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83259472 and 136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/4 + 12451*w**3\/4 + 31119*w**2\/2 + 24893*w + 12446 = 0. Calculate w.\nAnswer: -12446, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3646\/(-4)*8\/(-38). Let u = -192 + t. Let n be (1\/(4\/(-3)))\/(-3). What is the closest to n in 2\/11, u, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/2*d**3 + 1\/2*d**4 + 0*d + 5*d**2 + 0. Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c242 (base 14) to base 3.\nAnswer: 1200210020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 16*j**2 + 26*j - 55. Let w be x(10). Let k = 644 - w. What is the remainder when k is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/306)\/((-3)\/1*(-8)\/(-16))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/(-15) + 7 + (3 - (-18)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/839146 and -15\/419573.\nAnswer: 839146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8474 is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1845011 - 21?\nAnswer: -1845032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l**(-5\/7))**(1\/40) assuming l is positive.\nAnswer: l**(-1\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*b + 2*m - 2, -10 = 5*b - 3*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -3*n + 10. Let d = n + 27. Factor 2 - 2 + 41*k**d - 45*k**2 + 8*k.\nAnswer: -4*k*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + 6 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 15*f**2 - 116*f - 561. Determine w(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101145.1455us to weeks.\nAnswer: 0.00000016723734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4831, -4829, -4827, -4825?\n\"Answer: 2*y - 4833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k**3 + 5*k**2 + 5*k - 2. Let t(f) be the second derivative of f**5\/20 + f**4\/12 - f**3\/6 - 26*f. Let j(h) = 5*t(h) + v(h). Calculate j(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.156l to millilitres.\nAnswer: 208156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 3*u**3)*(-3 - 2*u + 3) + 0*u**4 + 0*u**4 - 3*u**4 + (3*u**4 + 2*u**4 - 3*u**4)*(1 - 1 + 2) + u**4 + 3*u**4 - u**4 - u**2 + u**2 + 3*u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 29*v. Let n(p) = -72*p. Let f(j) = -12*b(j) - 5*n(j). Let c(z) = -z + 15. Let q be c(10). Let x(s) = 5*s - s - q*s. Give x(f(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 5320.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 8*b + 12. Let z(g) = 4*g - 12. Let n be z(9). Suppose -n = -10*i + 6*i. Let p be h(i). Solve 1 = w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 42.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 40156265 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: Calculate (-16 - (28 - 38))*(-3)\/(-297).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31\/11 + -301\/99. Which is the nearest to 1\/4? (a) 2 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1155*n**2 - 134*n**6 + 391*n**6 + 531*n**6 wrt n.\nAnswer: 94560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 74. Factor -128*z**3 - u*z**4 - 28*z - 15*z**4 - 36*z - 208*z**2 - z**4.\nAnswer: -4*z*(z + 2)*(z + 4)*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 2414442?\nAnswer: -2414432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(99\/(-54))\/11.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*o**2 + o**2 - 4*o**2 + (4*o**2 - 2*o**2 - o**2)*(2 + 4 - 4) as y*o**2 + l*o + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14306572 is divided by 1021893?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10865*t**2 + 22*t + 2. What are the prime factors of m(-1)?\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10204115 (base 6) to base 11\nAnswer: -192764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5665302.\nAnswer: 2, 3, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 19 - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -14.87?\nAnswer: -17.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99*2\/(1 - (-1 + 4)). What is the tens digit of m\/12*(-384)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39566 - 7082334\/179. Let j = z + 14261\/1074. Let y = j + -131\/30. Calculate the common denominator of -31\/8 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z - 71. Let x be j(-4). What is the third derivative of 121*u**3 - x + u + 392*u**2 - 413*u**2 + 1 wrt u?\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2\/31, 1226\/23.\nAnswer: -8, 2\/31, 1226\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -144*v + 11. Let b(u) = -143*u + 11. What is -9*b(m) + 10*s(m)?\nAnswer: -153*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(-2*a - 4*a + 13*a + (1 - 1 - a)*(-2 + 1 - 1) - 3*a + 2*a + 2*a).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x*z**2 - 3863619*x*z + 37781981*z**2 wrt x.\nAnswer: 2*z**2 - 3863619*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.459 + 0.001. Let m = x + -0.16. Let p = 0.36 + 0.04. What is the closest to 0 in p, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/873 and -47\/2159123.\nAnswer: 19432107","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0*s**6 + 0*s**3 + 1\/1176*s**8 + s + 2\/735*s**7 - 1\/84*s**4 + 18*s**2 - 1\/105*s**5 + 0. Factor z(w).\nAnswer: 2*w*(w - 1)*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 69*d - 70*d + 2, 4*t + 22 = -3*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-1 + (-4)\/(-6)). Let l = 0.171 + 0.129. Which is the closest to s? (a) 4 (b) 2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40668583?\nAnswer: 43, 47, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (39\/(-52))\/(2 - (-951)\/(-498)) and 93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) -0.6 (d) 1 (e) 0.4 (f) 1\/3483\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -58*d**2\/7 - 35150*d\/7 - 1212\/7 = 0?\nAnswer: -606, -1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**3\/2 + 105*s**2\/2 + 969*s\/2 + 867\/2 = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 + 9*n - 2. Let m = 42 + -40. Let b be 2\/((-4)\/5)*(4 - m). Let p = b - -11. Determine g(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/168)\/(2084\/(-18235))?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-13)\/4)\/(1\/(-28)). Differentiate 0 + 1 - 86*n + q*n with respect to n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 3175?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 314*k**2 - 96*k + 321*k - 112*k - 112*k to the form m + t*k + o*k**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 252, 444, 688, 1002, 1404, 1912, 2544?\nAnswer: 3318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -36, -0.1, 3, -1.664 in descending order.\nAnswer: 3, -0.1, -0.3, -1.664, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*(b + 2 - 2)*(-4 + 2 + 0)*(3 - 2 - 3)*(-10 - 16 + 14).\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -645\/8*z**3 + 27\/4 - 495\/8*z + 1203\/8*z**2 + 99\/8*z**4 = 0?\nAnswer: 2\/11, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a, -2*a + 14 = 2*c - 4. Let o = 11.54 + -12.04. What is the smallest value in c, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28184 + 28193. Solve -z*c = 205 - 232 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008319 rounded to five dps?\nAnswer: -0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**3 - 4*h**2 + 5*h - 7. Suppose 23*s = 27*s + 57*s + 305. Let m(p) = -10*p**3 - 3*p**2 + 4*p - 6. Calculate s*m(d) + 4*o(d).\nAnswer: 6*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-8))\/((-55)\/((-30030)\/117))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**2 - 227*l. Let u(q) = 2*q**2 + 113. Give m(u(z)).\nAnswer: 80*z**4 + 8586*z**2 + 229729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*z - 11228, 2*y - 5587 - 33 = 5*z. What is the highest common divisor of 55 and y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emxmepvr. What is prob of sequence mx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 - 8319*n.\nAnswer: -3*n*(n + 5546)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1230011203 (base 4) to base 12\nAnswer: -194257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 4:08 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2137, -2213, -2311, -2437, -2597, -2797, -3043, -3341?\nAnswer: -3697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.21 (b) -1 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**5*k + a**4*k - 33*a**4 + 90*a**2*k wrt a?\nAnswer: 240*a**2*k + 24*a*k - 792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 21400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -4\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -3)\/(1 - 2). Let c = 73 + -76. Let n = o - c. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530*u - 526*u + 20 = 0. Let b(g) = 4*g. Let c be b(-2). Sort u, c, 5 in increasing order.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7721.\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or -0.843?\nAnswer: -0.843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)**(-8)\/(k*k\/k**(-1\/4))**33)\/(k*(k*(k**(-4)\/k)\/k)\/k*k**1\/k)**(2\/89) assuming k is positive.\nAnswer: k**(-29241\/356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -15, -3\/5, -290\/9, 0.05, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + sqrt(57)\/(sqrt(81)\/sqrt(3)).\nAnswer: sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.006 (b) 1 (c) 0.098\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 247 and 117?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2\/3 (c) 0.08 (d) -0.4 (e) -48.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttqtqttqttt. What is prob of picking 3 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*2 + sqrt(15))\/(sqrt(5) + sqrt(405)*-1).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951*q**2 - 716*q**2 - 950*q**2 - 957*q**2 - 959*q**2 + 5484*q**2 - 949*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*t, t - 4 + 0 = 2*d. Let g(k) = -23 - 36 - 22 - k**3 - k**2 + 74 - k. Determine g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)*c*c)\/(c\/((c*c*(c**(7\/2)\/c)\/c)\/c)*c*c))\/((c\/c**25)\/(c\/(c\/(c**12*c)*c))) assuming c is positive.\nAnswer: c**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.58957ug to milligrams.\nAnswer: 0.00458957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 4, m: 1, a: 8, o: 2, p: 2}. What is prob of sequence sio?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*p - 14*p**2 + 35*p**2 - 19*p**2 to the form w*p**2 + u + h*p and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:48 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062692211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -4 - 6)\/(6\/(-12)). What is the third biggest value in -4\/3, o, -13\/2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*p**2 - p**5 + 53*p**2 - 20*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/11 + 5552*f\/11 + 5968224\/11 = 0 for f.\nAnswer: -828, 3604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 84*1*((-54194)\/1896)\/(-49)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f + 205. Let w(v) = -23*v**2 + 164*v - 5. Let b be w(7). Let n be t(b). Solve -n*d = -10*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r - 15940. Suppose 3*u - 5974 = -0*u - y, 2*u - r = -3*y. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4171 is divided by 348?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, n: 2, q: 1, s: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqqa. What is prob of sequence qqa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 0*p**2)*(5*p - p - 3*p)*(4*p**2 - 4*p**2 + 6*p**2).\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 bigger than 992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 21a?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60209718 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r, -66*r + 65*r = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(280\/480)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 107628978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a84350 (base 12) to base 5.\nAnswer: -2421210341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p + 24. Let l(v) = -4*v - 24. What is -7*b(h) - 6*l(h)?\nAnswer: -18*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749168 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30000133 - 3?\nAnswer: 30000130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.284 (c) -2\/141 (d) -1 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 460227, 1840999, 4142289, 7364097, 11506423, 16569267?\n\"Answer: 460259*d**2 - 5*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 9*v**2 + 6*v + 2. What is the remainder when w(-4) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1429924 and 984297?\nAnswer: 287414724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 3032\/4127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1289096 less than -1289092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -2, 19 in ascending order.\nAnswer: -2, 0, 1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36991.78494 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022111102101 + -1?\nAnswer: -1022111102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 - 168 - (-3 - (4 - 4))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q + 1. Let i(r) = -4690*r**2 - 3625*r + 6. Let a(b) = -i(b) + 6*v(b). Find the second derivative of a(f) wrt f.\nAnswer: 9368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640313 (base 7) in base 13?\nAnswer: 3b45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 7. Let c be l(2). Suppose 23 = 2*v + y, -c*v + 4*y + 74 = y. Solve 4*a - 3*n = -v, -n + 1 = 4*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555 times -70296\nAnswer: 39014280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1271 + 722. Let h = 1322 + w. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14470 at least as big as -15362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37900 + 9278?\nAnswer: 46078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**4\/24 - 2*k**2. Let c be v(-4). Suppose -b - 3*b + 2*m = -5999990, -c*b + 3*m = -5999985. Round b to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/10)\/((-15)\/375*-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 78860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11707345 and 259325?\nAnswer: 643903975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*3*3\/90. Let o(q) = 3607*q + 25244. Let h be o(-7). Let u = 2 - 1.8. Which is the second smallest value? (a) y (b) u (c) 4\/9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 345?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 18 - 122. Suppose -4*l + 4*g = -a, 10 = 2*l + g + 2. Suppose 0 = -l*q + 4*q + 8. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n - 12 = 0. Let q(c) = -c - 6. Let z(i) = -i**2 + 2*i + 7. Let k(u) = n*q(u) - 3*z(u). What is the remainder when k(3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 5\/3 (b) 44 (c) 5\/6 (d) -0.4 (e) 0.123\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11670, -11565, -11390, -11145, -10830?\nAnswer: -10445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 153, 407, 661, 915, 1169?\n\"Answer: 254*n - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4314 + 3*z**2 - 1366 - 1478 - 1470.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -22*x + 1588. Let n be d(72). Solve -17*y = -n*y + 78 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-2)*(9\/(-36))\/((-4)\/4)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Let m(y) = 44*y**2. Calculate m(r(d)).\nAnswer: 704*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 2*j - 6. Let v(a) = 4*a**2 - 3*a + 7. Let f(u) = 5*c(u) + 4*v(u). Let b be f(-2). Solve -x - x + 4 = -3*s, -5*s = -4*x + b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-12)\/(-11)) - (-53)\/(-212)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 23*a + 10 - 7*a - 18*a. Give d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36\/211 + 11162\/3587. Suppose -u*h**5 - 88\/17*h**2 + 0 - 10\/17*h**4 + 132\/17*h**3 + 16\/17*h = 0. What is h?\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-4)\/1 - 432\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 - 79. Differentiate 10*w - 15*w + 10 - 3*w**2 - x*w wrt w.\nAnswer: -6*w - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/120 - w**4\/12 + w**3\/6 - 3*w. Let u(i) be the second derivative of a(i). Differentiate u(o) with respect to o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3982*i. Let f(w) = -9*w**2. Give t(f(n)).\nAnswer: -35838*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let n be (b - -9)\/(1 - -1). Let j = -0.07 - -0.17. Put j, n, -6 in descending order.\nAnswer: n, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40330 - 40330.16339. Round n to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276294 is divided by 69051?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = -17, -2*d = j + 2. Which is bigger: d or -2\/339?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2. Let r(j) be the second derivative of 52*j + 5\/4*j**4 + 0*j**3 + 0 + 0*j**2. Give v(r(o)).\nAnswer: 675*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(1\/4)*x*x)))**(-20)*x*(((x\/(x*x**(3\/7)*x))\/x)\/x)\/x*x**(7\/4) assuming x is positive.\nAnswer: x**(-1867\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59678125?\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 + -12 + -4 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 14*p - 178. Give w(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -49 - 63 + 10*c + 54 + 58. Let d(o) = -2*o**2 - 5. Calculate z(d(y)).\nAnswer: -20*y**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110492044 divided by 3249766?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 211 = 11*w. Suppose -2*i + w = l, -2*i + 3*l + 58 = -2*l. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*p - 80, -s - 7*p + 3*p + 20 = 0. What is the remainder when 34 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00182708 minus -128?\nAnswer: 128.00182708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 428 - 15*z - 213 - 212.\nAnswer: -15*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 13*d**2 + 3. Let r be o(-13). Let s be 2 + (-15)\/9 + (-1)\/r. Suppose -5*x + 157 = 57. Solve s = -3*g - 5*i + x, i + i - 2 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (6 - -27 - (1 - -14))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*b. Suppose 0 = q - b*q - 2. Suppose 2*o - 3*f = 189, 376 = q*o + 2*o - 4*f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - c - 1. Let p(v) = -31*v**2 + 3*v + 4. Let h(g) = -5*o(g) - p(g). Suppose 3*i = 6*i + 3. Is h(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + -12 + 126\/10. Solve -3*w - 2*w - n - 8 = f, -5*n = -3*w - 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*y, 22*y - 20*y = -5*x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 3)*(-3*m**5 - 135*m**4 + 267*m**4 - 145*m**4).\nAnswer: 15*m**5 + 65*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 23*h**3.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129165004 to the power of 1\/2, to the nearest integer?\nAnswer: 33603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*z - 41 + 109, 28 = -c + 4*z. Let y be -1 - (-271724 + (-1)\/((-4)\/c)). Let f = -583726 + y. Round f to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 + a**3 + a**3)*(4*a**2 + 6*a - 22*a**2 - 7*a).\nAnswer: 54*a**5 + 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4, -b + 3*b + 10 = 3*a. Let r be 1 - (-3 - 17) - b. Calculate the highest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/(-580)*4\/(-1440)*-18\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 3. Let j = -1 + -2. Let o be 0\/(0 - (1 + j)). Is o equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g - 17. Let s be z(-2). Sort 9, s, -3.\nAnswer: -3, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 6 + 18 = 2*s, 5*y + 9 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -143 + 1790. Suppose 35*k - 34*k - q = 0. What is the remainder when k is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2108000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -484*k**4 + 2*k**2 + 139*k wrt k?\nAnswer: -11616*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-136)\/24 + 40\/6. Suppose 2*c + 0*c = -4, -q = -4*b + 3*c. Suppose -2*r + 5*f + 10 = -6*r, -5*r - 2*f - 4 = 0. Solve -2*d + r*d + 2 = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 40 = -5*w, 3*x - 8*x - 4*w = -4. What is the highest common factor of 12 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-243)\/(-6))\/27*8\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 12 = 0, -2*h + l + 39 = -h. Suppose -h*u + 40 = -37*u. Suppose 13*y + 920 = u*y. What is y rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8 and 3746.479767.\nAnswer: 3754.479767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21698553*q**2 + 125*q + 28873.\nAnswer: 43397106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300*-4.2.\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o + 6 = 4*n, o + 15 = 5*n. Calculate the smallest common multiple of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 29009*x - 348106. What is c(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 - 3 = 0. Let n be -7 + (-10)\/((-680)\/484). Put n, u, -2\/11, -2 in ascending order.\nAnswer: -2, -2\/11, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f = 66*f + 65*f + 2184 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*-2 - sqrt(117))\/(sqrt(9)*-2*6) - ((-1*sqrt(117) - sqrt(117))*-3)\/(-1*sqrt(225)).\nAnswer: 67*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -122. Let p = -26 + i. Calculate the greatest common factor of 144 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i - 300 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 239*w + 923. What is r(-4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 569935.7 microseconds?\nAnswer: 0.5699357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*k - 7, 4*x - 2*k = k + 17. Suppose 0 = 4*c + 10 - 2, c = -q + 6. Calculate the remainder when q is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -16)\/(-1)*3\/2\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let n be m(6). Let c = n - 3. Is 31581\/27 + (-2)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1482 = -59*l + 60*l. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1274 and 699034.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92631772.\nAnswer: 2, 23157943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 6283540?\nAnswer: 59\/6283540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(2\/(-12)). Put -1, 4, x in decreasing order.\nAnswer: 4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 1. Suppose 0 = -2*j - 8, -x - v = -3*j - 86. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -11. Let p = s + 10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26149.\nAnswer: 79, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 1095*p - 2170.\nAnswer: -5*(p - 217)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k**3 - 7945*k**2 - 109225*k - 26810 = 0.\nAnswer: -383, -14, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {u: 5, v: 1, m: 2, k: 1, o: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 45*v**2 + 125*v + 27 + 5 - 13 = 0 for v.\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -51.12. Let o = -73.88 + q. Let n = 73.943 + o. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653408 bigger than 2653405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 50*z**3 - 115*z**2 - 70*z.\nAnswer: -5*z*(z + 1)*(z + 2)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:26 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -38*r - 442. Let o be m(-14). Which is greater: 85 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -17. Let u = -4.9 - l. Which is the nearest to u? (a) -5\/2 (b) 1\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 - h - 1. Calculate the remainder when p(-1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 15210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j + 6. Let d be 6\/(-60)*-5 + (-2)\/4. Calculate i(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - 20) + -2 - 47?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a6 - -31?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-225))\/(15\/18)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20350 and -0.75.\nAnswer: -15262.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 34864.927 to the nearest ten.\nAnswer: 34860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -48. Let p be 2\/(-8) - d\/8. Suppose p*z - z = 10. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333424 (base 6) in base 9?\nAnswer: -42387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12073, 12069, 12063, 12055, 12045?\n\"Answer: -s**2 - s + 12075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24340098703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -9*u**3 - 4*u**2 - 26*u - 6. Let h be g(13). Let m = h + 54793. What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7550432, -15100875, -22651318, -30201761?\nAnswer: -37752204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**3\/3 + 5*a**2 - 8*a. Give y(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/17 - 444*u**4\/17 - 4*u**3\/17 + 888*u**2\/17 + 2*u\/17 - 444\/17 = 0.\nAnswer: -1, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 393 and 12314.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w - 8. Let i = 246 + -224. What is the smallest common multiple of v(6) and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1684 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4\/9))\/z**(-4\/7))\/((z**10\/z)\/z**(-3\/8)) assuming z is positive.\nAnswer: z**(-3709\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13897712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 470 - 280. Suppose -114 = y - 4*y - 2*s, 5*y = 4*s + a. Suppose 5*j = 3*j + y. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3 + 15. Suppose -4*w - 4*k + 56 = -112, 4*k = q. Suppose -4*a + 3*a = -w. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 4*j - 8. Let w = 30 - 30. Let i be w - 3\/(2 + -3). Let s be b(i). Put 4, s, -2 in descending order.\nAnswer: 4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -20480 + 405\/2*t**5 - 70080*t**2 + 34600*t**3 - 84480*t - 4680*t**4 = 0.\nAnswer: -4\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -572 - -585.525. Round u to zero decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399 divided by 5.\nAnswer: -399\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d**3 - 2*d**2 + 8*d - 16. Give a(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-15))\/(3\/(-10)). Let x be -71000 + 6 + -4 - f. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5297919.\nAnswer: 3, 11, 37, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -321887, -321885, -321883?\n\"Answer: 2*m - 321889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1684574 + -0.0615468. Let g = 0.047 - 0.277. Let a = g - j. Round a to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6377\/12360 - 54\/103. Let t = 0 + 1. Is x smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*v + 7*d - 630, -6 = -3*d. Let w = -135 + v. Solve -3*x = -w + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -31 - 242*w - 10 + 44*w. What are the prime factors of l(-2)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -42*h**2 + 85*h**2 - 45*h**2. Let l(j) be the third derivative of -j**4\/24 - 2*j**3 + 14*j**2. What is t(l(u))?\nAnswer: -2*u**2 - 48*u - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*h + 1787, 0 = -3*h + 3*z - 227 + 1574. What is the highest common factor of 920 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*p**3*r + 21*p**3 - 959*p*r wrt p.\nAnswer: -174*p*r + 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**3 - 21*k**2 + k - 4. Let t(p) = -9*p**3 - 21*p**2 + 2*p - 5. What is 3*i(v) - 2*t(v)?\nAnswer: -6*v**3 - 21*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1140*-5*-8\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17254 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) -13 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087117748 to the power of 1\/2, to the nearest integer?\nAnswer: 32971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttwwtwqqttwqrqtttq. What is prob of sequence rwt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - -49. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 12*k = -331, 3*j + 2*k = -46 + 87 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.56 * 332\nAnswer: -517.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from kvvxvvxx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 4438571.\nAnswer: -53262852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzvvqvvqvvvqvqvqvv. Give prob of picking 1 z, 2 q, and 1 v.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 - 8 + 8 + 5*k.\nAnswer: 9*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 131\nAnswer: 34\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 59, 19, -3, -5069.\nAnswer: -5069, -3, -2, 19, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-3\/14)*a)\/(a**(-18)*a)*a**(1\/10)*a**(-6\/7))**(1\/8) assuming a is positive.\nAnswer: a**(631\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89\/140 - 129\/140. Sort g, 0.4, 71.1, -0.3.\nAnswer: -0.3, g, 0.4, 71.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-962)\/555 + 128\/240 + 2\/10)*114\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21.85, -27, 3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23)\/(-24))\/1 - 2\/(-2). Let m = q + -5\/8. Which is the fourth smallest value? (a) m (b) -3 (c) 2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 560?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 393171*i**4*u - 2*i**2*u + 3243297*u wrt i?\nAnswer: 1572684*i**3*u - 4*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/2007 + 72809\/2982402. Calculate the common denominator of r and 59\/18.\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**2 + 0*w**2 + 9*w**2. Let k(s) be the third derivative of s**8\/10080 + s**5\/12 + 6*s**2. Let b(j) be the third derivative of k(j). Give b(t(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-3)*j)\/j)\/(j\/(j*j*j*j*j\/(j**(-4\/3)\/j*j)*j)))\/(j**(-3\/8)\/j)**21 assuming j is positive.\nAnswer: j**(797\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 7\/4, 3, 1\/26, 11?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174551 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.3 at most -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283289723 to the nearest integer?\nAnswer: 16831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 447*n**3 - n**2 - 2. Let b be l(-3). Let y = b + 241649\/20. What is the common denominator of (-411)\/60 - (-4)\/2 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 21. Put -1, 3, c in increasing order.\nAnswer: -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216435538 divided by 108217769\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16996?\nAnswer: 2, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -12.13\nAnswer: 1.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1278 - -1277.357. Let a = -0.008 - -0.298. Let h = n + a. Round h to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 71?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135408, 270821, 406234?\nAnswer: 541647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 49*o - 668. Let k be l(-22). Let b be 0 - (-5)\/(3 + -2). Sort 0, k, b, -4.\nAnswer: k, -4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4772, 4774, 4778, 4784, 4792, 4802, 4814?\n\"Answer: n**2 - n + 4772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2681 - 93705.\nAnswer: -93705.2681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160680378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-180)\/35)\/((-1)\/7). Let f be r\/(3\/1) - -1. What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by 877?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 35.5. Which is the smallest value? (a) l (b) 0.4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34931599?\nAnswer: 59, 592061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2299))**2 - sqrt(2299)) + (sqrt(19)*1)**2*5.\nAnswer: -55*sqrt(19) + 2398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*b + 25, -9*c - 680*b - 21 = 667*b - 1346*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5 = -0*k + m, 5*k - 2*m - 19 = 0. Let o be -4 + (-3 + 2 - (-459)\/51). Sort o, k, -2, -1 in increasing order.\nAnswer: -2, -1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -879031, -1 in ascending order.\nAnswer: -879031, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01349323 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003178224 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*w = -3, -19 = -4*d + 4*w + 29. Let i be (-3 - -7)\/(-148)*(-1)\/d. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p + 15*p + 2*p + (1 + 2 - 1)*(-2*p + 0*p + 4*p) + 2*p - 2 + 2 + p + 2 - 2.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 + 4*k + 4. Let a(p) = 0 - 14*p**2 + 0 + 11 + 3*p + 8*p. Let b(j) = 4*a(j) - 11*c(j). Let y(l) = -l**2. Determine b(y(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/22)\/((-70)\/(-812))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5671*f. Let k(h) = -h. Determine k(j(d)).\nAnswer: 5671*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*1*(-60)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*j + 22, -5*v - 19 = 4*j + 77. Are v and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 + 423 = 2*z, -4*l = z - 210. Does 29 divide (-2)\/(-3) + z\/(-12)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 5. Let n be s(3). Let w(c) = 78*c**2 - 2*c + 1. Is w(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccq. What is prob of sequence qqcq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.073902 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = f + 8, -4*f + 2 = -2. Suppose 2*o - 2*w + 1 - j = 0, 0 = -o - w + 3. Put o, -2, -3 in increasing order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let a = s + 5. Let u(j) = -j - 2. Let z be u(-4). What is the third smallest value in -1\/5, z, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*o + 14, 0 = -f + 64*o - 68*o - 16. Put f, -10, 1, -3, -2 in ascending order.\nAnswer: -10, f, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.027 microseconds in seconds?\nAnswer: 0.000948027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 0*p + 43*p**2 - 9 + 0*p - 47*p**2. Let r(x) = 2*x**2 + 4. Calculate -4*k(h) - 9*r(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52206 and 10626.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5492904 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 7*a + 11. Let m be g(-9). Let j(t) = -t - 2. What is the units digit of j(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37587633 is divided by 6044?\nAnswer: 6041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1\/(-2)*-42. Solve n + 4*p = 3*p - 2, -p = -5*n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 3:45 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -116*k**3 + 144*k**2 + 1005*k. What is the ten thousands digit of f(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5374.7061 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -211 - -292. Let q = j - 81. Let o(f) = f**3 - 8. What is o(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 18*a**3 - a**2 + 2*a + 158. What is the second derivative of x(r) wrt r?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2. Let u be f(-6). Let g(i) = i - 5. Let y be g(-6). Let h = y + 16. Solve h*d - 7 = u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64167261, -64167263, -64167265?\nAnswer: -64167267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47 + -7.4922445772.\nAnswer: -7.0222445772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 - -205. Which is the third biggest value? (a) g (b) -93\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -2, -0.102 in ascending order.\nAnswer: -2, -0.102, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*p + p - 35 = 0, j + 5*p + 11 = 0. Let o = 21 + j. Suppose 0 = -7*t + 2*t + 15. Solve -s - 17 = 4*s - t*n, -s = -o*n - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -128*h**2. Let m(v) = 148*v**2. What is y(m(c))?\nAnswer: -2803712*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*i - 28*i = -38*i + 206. Sort -2, i, 310.\nAnswer: -2, i, 310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 1, u: 2, x: 1, e: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**8\/3360 + g**7\/2520 + g**4\/12 + 3*g. Let p(b) be the third derivative of o(b). Find the third derivative of p(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.16 + 11. Let x = v + 8.16. Is x at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9829050 a multiple of 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315806?\nAnswer: 2, 269, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 13*p - 38. Let b be n(-8). Let q(a) = -a**2 - 188*a + 93*a + 94*a. What is q(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193 divided by -124297\nAnswer: 193\/124297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.9 + 18. Let a = 813 - 831. Let l = a - u. Put l, -4, 2 in decreasing order.\nAnswer: 2, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 146*o + 1. Let t be m(1). Let i be t\/6*-2 + 1. What is the units digit of 1\/(((-2)\/i)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.8? (a) -0.5 (b) -1 (c) -6.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 0.11 (b) -3\/4 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-10 + 18 - 8) + (0 - -3)) - 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (1 - 5) - -43. Suppose 13*m - 22 - k = 0. What is the greatest common divisor of m and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140231967.\nAnswer: 3, 59, 137, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1097772.1*0.5.\nAnswer: 548886.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*v**3 - 163*v**3 + 35*v**3.\nAnswer: -322*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b8c60 - 16?\nAnswer: -3b8c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 399*u - 410*u + 10 + 792*u.\nAnswer: 3*u**3 - 17*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*w**3 - 1 + (-7*w - 11*w - 21*w)*(-3 - w**2 - 4*w + 4*w) to the form m*w**2 + z*w + q + a*w**3 and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11645 divided by 174?\nAnswer: 11645\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*n + 21*n + 7*n**4 + (n**2 + 4*n**2 - 3*n**2)*(-2*n**2 + 2*n**2 - 4*n**2).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2. Let w(u) = 883*u. Give c(w(j)).\nAnswer: 2339067*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4234, -16091, -27948, -39805?\n\"Answer: -11857*m + 7623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7104523.401 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/((-40)\/260 - 4343\/(-2626))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2 - 136*y + 4624 = 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.264, 0.4, 1\/4 in ascending order.\nAnswer: -0.264, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-75)\/(-21)) - 759\/460?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3051719570?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23870 and 5621?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15044, 12113, 9192, 6281, 3380, 489?\nAnswer: -2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**3\/3 + 4*j**2 - 6*j + 6. Suppose 2*t - 5*q - 12 = 0, q = t - 4*q - 6. Let f be r(t). Solve -2*s + 2 = -f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2754, -2716, -2676, -2634, -2590, -2544?\n\"Answer: o**2 + 35*o - 2790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23983?\nAnswer: 29, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889*a**2 - 86*a**3 - 799*a**2 + 1688*a**2 + 415*a**3.\nAnswer: 329*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299 = -68*g + 313 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1891455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10*s = 5*s + 80, -2*b + s + 23 = 0. Let j be 1\/4 - 19\/(-4). Suppose -m - 6 = -4*m. Solve b = -j*g - m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 20*w - 23*w - 19*w.\nAnswer: -35*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idtdqqd. Give prob of picking 1 q and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-8)*120\/(-36). Solve 0 = -3*z - 9 + g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4934 or -4932?\nAnswer: -4932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 4*q + 2. Let n be v(-2). Let o(x) = -x**3 + 7*x**2 - 7*x + 9. Let m be o(n). Solve -p = m*p - 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -726 + 726. Solve -3*l = -3*f + 8*f - 23, 2*l - f + 2 = c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77667321 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 3*n**2 + 5*n - 4. Let v be l(3). Suppose -1 = w - v. What is the remainder when 29 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 793\/156 + (2 - 7). Let f(p) be the second derivative of 0 + 0*p**2 + d*p**4 - 3*p - 1\/2*p**3. Let u(a) = -a**2 + 2*a. Determine -2*f(s) - 3*u(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -10. Let v = 156 - 2030\/13. Which is the nearest to -2? (a) y (b) 1\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*r**3 - 64*r**3 + 405*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104\/61 + 19208\/183. Let z = y - 108. What is the nearest to 2\/5 in 5, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 8 - 14)*(2*v - 6*v + 2*v) + 3*v + v - 3*v)*(1 + 0*v + 5*v - 4*v).\nAnswer: 19*v**2 + 19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*1*((-16)\/(-8))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 4. Let o be p(-5). Let a be -57*(-6 + 56\/(-24)). Suppose -a = -o*b + b. Calculate the highest common divisor of b and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1*(-12)\/15)\/((-6)\/5))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a microsecond in nanoseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/90 - -3) + -7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 465 and 651.\nAnswer: 3255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3184704?\nAnswer: 2, 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 128077 (base 9) to base 6\nAnswer: 1401241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 + -88. Let r(f) = f + 12. Let d(y) = 1. Let z(w) = 2*d(w) + r(w). Let m be z(a). Solve 0*b = -m*b - 2*h, 5*b = -5*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.273317 to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -29*f + 1. Let i be r(1). Let s = -14 - i. What is the remainder when s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 104887*y**2 - 29*y - 106. Let h be i(-6). Round h to the nearest 100000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 7. Let h = 93 - 89. Suppose 0 = 2*y + 3*u + 34, 0*y - 2*u = -h*y - 36. Determine w(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-4)\/(-8)*10. Solve 0 = 2*c - k + z*k, 2*c + 5*k = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 9 = -1. Let x be 0\/i + 8\/4. Is x\/10 - (-102)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times -1264454\nAnswer: -42991436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 + 112. Let t = -91 - k. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -2. Suppose 3*u + l - k*l = -33, 0 = -4*l + 12. Let r(a) = -a**3 - 7*a**2 - 7*a. Calculate r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:05 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 1357*l - 216*l - 2 + 5 to w + g*l and give g.\nAnswer: -1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - u - 7*u**2 - u**3 + 6*u**2.\nAnswer: -u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.503651931 rounded to 4 dps?\nAnswer: 0.5037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29332, -58664, -87996?\n\"Answer: -29332*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 203*s + 212*s + 30 - 21 + 0.\nAnswer: 9*s + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -555*c**2*x**6 + 8*c**2*x**2 - 9*c*x**2 + 3 wrt x?\nAnswer: -66600*c**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.6 - 5. Suppose 6 = 2*v + 5*j, -6*j + 5*j = -v - 4. Let h = -1.43 - 0.57. Which is the closest to v? (a) r (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 (base 13) in base 6?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/28)\/((-1)\/(-6)). Suppose t - 5*t + 1 = -b, 0 = 4*t - 4. What are the prime factors of h*b + (-4)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44522575?\nAnswer: 5, 17, 104759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2 + 3*k + 14. Let w = 63 + -68. Let t be h(w). Let l(x) = -7*x**2 + 3*x + 6. Let y(f) = -f**2 + f + 1. What is t*l(r) + 6*y(r)?\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -159, -252?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqv when three letters picked without replacement from {v: 10, q: 4}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1.7. Let j = 3.093 + -0.223. Let l = 2.87 - j. Sort v, l, -4\/5 in decreasing order.\nAnswer: v, l, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0730898 less than -5042.0204?\nAnswer: -5042.0934898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -29169169?\nAnswer: -29169172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -229. Suppose 0 = -23*n + 459 - o. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 20*l + 35. Suppose 0 = -i + 12*i + 198. Determine w(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*r**3 + 49*r + 3419?\nAnswer: 24*r**2 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000803427429 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from ctcttetetttt.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, 3, 1.51, 10\/9 in descending order.\nAnswer: 3, 1.51, 10\/9, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5860 + 12?\nAnswer: -5847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5078.365*0.2.\nAnswer: -1015.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7965*u**4 + 2 - 7887*u**4 - u in the form d*u**3 + y + s*u + i*u**2 + j*u**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 7*q + 8. Let f(v) = v**3 - 3*v**2 - 2*v - 2. Let x be f(4). Let p be n(x). Is 26 - ((p - 3) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -141*z**3 + z**2 + 9*z - 10. Let q be n(-10). What is q rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 23 - 5 - 28)*(0*v + 0*v + 5*v) to the form n*v + t and give n.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 12095 + 2545 = 0. Calculate the remainder when n is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124899 by 964.\nAnswer: 124899\/964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyihhuohhuhvuhhouhho. Give prob of sequence vyh.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5 - -1) + 3 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 + -5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 - 3*f**3 - 1215 + 1259 - 7*f**3 + f**3 + f - 2*f**2 to the form b*f**2 + r*f**3 + m*f**4 + w + l*f and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**2 - 7*f - 2. Let n = 46 - 48. Does 16 divide c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + (-4)\/(-3). Let c = -956 - -958. Sort y, 1, c.\nAnswer: 1, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 12. Let s(r) = -r + 1. Let w(d) = -5*d + 7. Let n(c) = y*s(c) + w(c). What are the prime factors of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56054*m**2 - m - 56228*m**2 + 2*m.\nAnswer: -174*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2006 rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - -5)) + 9 + (0 - 21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 700 = -3*y + 4*y, -4*y = 0. Let i = d - 341. Solve 5*m = 2*t + i, 5*t - 9 = m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/363 and -7\/484?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 670675819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - 1 - (12 - -4 - 12). Solve 15*r - 6 - 24 = g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/18 - 5\/9. Let h be (2\/8)\/((-2)\/4). Put 1\/7, k, h in descending order.\nAnswer: 1\/7, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26881*r**3 + 3948*r**2 + 1397660499*r wrt r?\nAnswer: 161286*r + 7896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**6\/80 + 3*y**5\/160 + y**4\/16 - 5*y + 3. Let r(p) be the first derivative of u(p). Solve r(h) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8567.671km?\nAnswer: 8567671000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvddvobdbddddbdoobb. Give prob of sequence vvb.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 + 85. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029648923 rounded to seven decimal places?\nAnswer: 0.0002965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12222 + 1?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -6*p + 427. What is the least common multiple of p and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*r - 116, 0 = g + 2*r - 5*r - 34. Solve 4*i + 4*m + g = 0, -22 = -i + 5*m - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:10 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7624.6 + -7625. What is the nearest to 0.1 in d, 1\/48, -16?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178\/(-89) + (9 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 9*f + 32. Let o be r(-14). Suppose -2*n = -3*h - o, 4*h + 0*n = -5*n - 113. Let v = 48 + h. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 11:48 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/18 - 7*x**3\/3 - 20*x**2\/3 - 113*x - 2. Factor g(h).\nAnswer: -2*(h + 1)*(h + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010653932 to six dps.\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {k: 5, x: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 4*x - 1641*x**2 - 2*x.\nAnswer: -1641*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 1. Let p(i) = 30*i - 5. Let j(x) = -p(x) + 5*w(x). What is the units digit of j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -14*y**2 + 2*y + 2. What is i(2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 10936, 5, 3 in decreasing order.\nAnswer: 10936, 5, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 12*y + 5*y - 12*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 (base 6) in base 12?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44786, 89996, 135206, 180416?\nAnswer: 225626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/216 and -55\/3.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w + 11. Let r(g) = 6*g + 10. Calculate -4*p(f) + 3*r(f).\nAnswer: -2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Suppose -4*c + 5*b - 9 - 64 = 0, -i*c = 4*b + 4. Let t(o) = -o**2 - 14*o - 6. What are the prime factors of t(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*y + 16043 = 274*y + 3617 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.82 - 0.18. Which is the third smallest value? (a) 5 (b) 0.15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1645780?\nAnswer: 2, 5, 19, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/40 - s**5\/20 + s**4\/4 - 11*s**2. Factor i(d).\nAnswer: -3*d*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27814)\/1540 - (-4)\/(-10). Let m = l - 3\/77. Let b = 10447 + -104373\/10. Find the common denominator of b and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(2 + 5)*3068\/75166?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1571*q + 10691 - 48395 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 2. Let y = g - -5\/4. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31.0847152 from 69.5431.\nAnswer: 100.6278152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -325*f - 764*f - 3558*f - 3011*f + 791*f as h*f + b and give h.\nAnswer: -6867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 0.3, -28\/19, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 84.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.120352 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 97169.94ng?\nAnswer: 0.00009716994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 92*y**2 - 38*y - 204. Is 27 a factor of k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11810514 divided by 2946.\nAnswer: -4009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/80 - 2\/(-8). Let z = 1940 - 1939.9. What is the smallest value in o, z, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 1 - (6 - 3). Which is the biggest value? (a) -1\/4 (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o. Let g be ((-11925)\/50)\/(2\/(-4)). Suppose 22*u - g + 81 = 0. Calculate the remainder when p(4) is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10)*1) + sqrt(19) + -3 + (1 + sqrt(19))**2.\nAnswer: 17 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*x + 1)*(10*x**4 + 10*x**4 + 2*x**4).\nAnswer: -88*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113, -106, -89, -56, -1, 82, 199?\n\"Answer: z**3 - z**2 + 3*z - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 380663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*h**4 - 1743*h**3 - 41151*h wrt h.\nAnswer: 60*h**2 - 10458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:22 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*s + 84 = 676*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g + 3. What is the common denominator of -95\/12 and -3 - g*(-3)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 120. List the prime factors of a.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((126\/(-56))\/(6\/(-32)))\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 times -105641?\nAnswer: 13099484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*l + 75*l + 93*l)*(-920*l + 920*l + 77*l**2) in the form m*l**3 + g*l**2 + o*l + j and give m.\nAnswer: 11627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 53073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1676*j**3*y + 183312*j**3 - 1479141834*j**2*y wrt j?\nAnswer: 10056*y + 1099872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -439.6 and 0.0436?\nAnswer: 439.6436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -712.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f + 2*f + 645 - 5*f**3 - 630 - 15*f**2.\nAnswer: -5*(f - 1)*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 19*i + 42. Calculate x(4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -6 - -7 - 166\/12) + 6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.1, 54, -205.8 in increasing order.\nAnswer: -205.8, -0.1, 2\/3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(5\/2)*q)\/q)\/(((q**(2\/7)\/q)\/q)\/q))\/((q*q\/(q**(-1\/11)\/q*q)*q)\/q**13) assuming q is positive.\nAnswer: q**(2329\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1309606 is divided by 126?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/110 and 107\/290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5755407 greater than or equal to -5755407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -135.6. Do k and -40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2))**5*(r**(-2\/5))**22)**(-33) assuming r is positive.\nAnswer: r**(2079\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 15*q**2 + 14*q + 3. Let s be g(-14). Let y be 5\/s + 3 + -4. Factor -2\/3*x + y*x**2 + 0.\nAnswer: 2*x*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 26 - (-1 - (3 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -409, -833, -1257, -1681, -2105?\n\"Answer: -424*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -10*((-6)\/4 - -1). Let j = -769.4 + 769. Sort s, -3, j in increasing order.\nAnswer: -3, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose 27 = -2*i + 5*m - b*m, -4*i + 1 = m. Let g(f) = 3*f + 3. Let v(x) = x + 1. Calculate i*v(r) + g(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c = -231*c - 111*c + 1252 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00831502237 to four dps.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*g**2*n**2*x + 2*g**2*n*x + 2*g**2*z - g*n**2*x*z - 2*n**2*x + n**2*z wrt z?\nAnswer: 2*g**2 - g*n**2*x + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/r**(-2\/21))*r)\/r**(-2))\/(r\/(r*r\/(r\/r**0)))**(1\/28) assuming r is positive.\nAnswer: r**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -1168\/45?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16884 by -1407.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-24) - (-7)\/28. What is the third biggest value in 0.1, r, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + (20 - 8) - (1 - 6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -43. Suppose 6*x = r + 9. Suppose 1634 = 2*l + x*i, -i - i = -8. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/12 - 2*x**3\/3 + 4*x**2 + 3*x. Let o = -16 - -10. Give k(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -8. Suppose -z*n - 3*i = 2*i + 71, 0 = i + 3. Let m = -7 - n. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*x**3 + 0 - 8*x**3 - 7*x - x**3 + 7*x**3 + (-2*x**2 + x**2 + 0*x**2)*(-x - 2 + 2).\nAnswer: x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 490 = -66*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14573750*c**2 + 2*c - 86869241.\nAnswer: -29147500*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 986\/(-3451) - (0 - (-26)\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 smaller than 37021\/62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {t: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301584264.\nAnswer: 2, 3, 19, 313, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjr when three letters picked without replacement from rjjjjjjrrjjrjj?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 79.4, -2, 5 in descending order.\nAnswer: 79.4, 5, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 1, -4\/3, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*p - 5 = 0, -6*o + 5*p + 15 = -o. Suppose -o*u + 230 = 218. Solve u = -4*r - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2505921.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.585 * -32.\nAnswer: -50.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(1 + sqrt(700) + -4))**2 - ((sqrt(700) - (4 + (sqrt(700) + sqrt(700) + -2)**2)) + -5)*-1.\nAnswer: -2104 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 22*z**2 + 107*z - 50. Calculate v(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2538651.63 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 12:36 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**2. Let l = 30458 + -30469. Let h(z) = -z**3 + 11*z**2. Calculate l*q(m) - 6*h(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 13. Let z be t(-4). Suppose 5*x - 56 = 4*n, -2*x = -3*x + z*n + 20. Calculate the highest common factor of 88 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.87 + 0.87. What is the second smallest value in o, -3\/5, 2\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 5. Is 54022\/14 - 2\/(-35)*o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002934175 rounded to six dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158032030 to the nearest integer?\nAnswer: 12571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13 and 90136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501 is divided by 353.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/12))**(2\/27)\/(h**(3\/7)*h*h**(3\/5)) assuming h is positive.\nAnswer: h**(-11537\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14723060 rounded to the nearest 100000?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*v**5 + 47284*v**4 - 13*v - 32747.\nAnswer: 1320*v**3 + 567408*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 2.72899?\nAnswer: 16.37394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + q + 3*q)*(12 + 0 + 5) as n*q + i and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/2)\/b)\/b)**(-1\/46))**(16\/7)\/((b**(-5))**(-3\/23))**(-31\/5) assuming b is positive.\nAnswer: b**(671\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6122732 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: Let y(j) be the first derivative of j**6\/10 + 9*j**5\/5 + 243*j**4\/20 + 189*j**3\/5 + 243*j**2\/5 + 75. Determine x so that y(x) = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**4 - 289944*o**3 + 10509310188*o**2 - 63048032856*o + 94568135202 = 0.\nAnswer: 3, 72483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 6*v**4\/5 - 6339*v**3\/5 - 199017*v**2\/5 + 104259*v\/5 + 101091\/5 = 0.\nAnswer: -31, -1\/2, 1, 1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78649744 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21863312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 + 11088865*p**2 + 11088870*p = 0. Calculate p.\nAnswer: -1, 0, 2217774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**3 + 13*h**2 + 12*h + 44. Let b be f(-8). Let t be 5\/3*b\/(-30). What is t rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/299221 - 28106726253\/2992210. Let k = p + 9402. Find the common denominator of k and -7\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*-3*13\/(-702)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594251 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 2924180.\nAnswer: 1\/208870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215498531?\nAnswer: 2113, 101987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6031 + 34179.4877?\nAnswer: 34180.0908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Let n be j(3). Let l be 8\/20 - n\/(-5). Let t = 6 - l. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 578*l + 7373. Calculate p(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*y + y**2 + 1 + 11*y + (3*y**2 - 2*y + 2*y)*(5 - 2 - 2) + (6 - 6 - 2*y)*(-y - y + 0*y) as r*y**2 + d + v*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10262093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 - 85*q**4 + 55*q**3 + 845*q**2 - 1490*q + 680 = 0.\nAnswer: -17, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1322 - -1325. Let z(k) be the second derivative of 7\/30*k**h + 1\/10*k**2 + 0 + 2\/75*k**6 - 6*k + 1\/4*k**4 + 13\/100*k**5. Let z(l) = 0. Calculate l.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/271618 and 93\/6242?\nAnswer: 847719778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04101 and -10.28.\nAnswer: -10.23899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2728 and 2464.\nAnswer: 76384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x - 51*x + 324 = 0. Let m be ((-16)\/6)\/(4\/(-54)). What is the greatest common factor of x and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2046*x + 14355. Determine o(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 380*u - 386*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*d + c, 3*d - 4*d - 5*c = -10. Solve -2*f + 0 - 2 = d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/18663117 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -20*g**2 - 229*g + 4640. What is t(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14171 and 8399.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11836 and 572.\nAnswer: 153868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5*t - 3. Let j be u(-5). Let w(n) be the second derivative of -n**5\/20 - 5*n**4\/12 - 2*n**3\/3 - 2*n**2 + 2*n. Calculate w(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/16*((-70)\/45 - -2). Let l be (-1 - -2)\/((-221)\/26). Let k = 0.3 - 0.2. What is the biggest value in l, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/7 + 4*m**3\/7 + 6*m**2\/7 - 8*m\/7 - 8\/7 = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -27. Let w be -5*(-2 + (-152)\/d). What is the common denominator of 59\/2 and ((-54)\/192)\/((-1)\/w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20569, -20576, -20591, -20614, -20645?\nAnswer: -20684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**4 - 3*x**3 + x**2 + 3*x - 2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - a = 2*a - 1, 4*v + 17 = -5*a. List the prime factors of (-566)\/v + 9\/(-12).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6219 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccaf when four letters picked without replacement from {c: 3, f: 1, j: 5, a: 1, o: 2, l: 1}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399419 - 2085891 = -87*t + 1631704. What are the prime factors of t?\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 3:58 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**7\/4200 - p**6\/1800 - p**5\/300 + p**3 + 4. Let j(i) be the third derivative of t(i). Determine v so that j(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398 - 157 = -5*q. Suppose -5*l = -3*v - 54, 4*v + 72 = -3*l - 0*l. Calculate the remainder when q is divided by v\/9 - -9*30\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -778.3 and 4.\nAnswer: -3113.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**3 - 22*v**2 + 7 + 30*v**2 - 2*v**3 + 7*v. Let o be b(7). Is 25 a factor of o\/(-35) + 5\/(25\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 22*a - 84 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -11703.\nAnswer: 11702.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*y**2 + 368*y**2 + 463*y**2.\nAnswer: 763*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/8)*h\/h**(-2\/21))**(-2))**45)**(-24) assuming h is positive.\nAnswer: h**(18450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -191*d**8\/84 + 73*d**5\/15 - d**3\/6 - 4133*d**2. What is the third derivative of q(n) wrt n?\nAnswer: -45840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 + 4*c - 21. Let i be v(5). Suppose 2*w - 57 + 5 = 0. Let z = i - w. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/56*20*(-7)\/(35\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 16. Give g(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4)\/(((-108)\/8)\/(-9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + ((-2*(0 + sqrt(2736) + sqrt(2736)) - sqrt(2736)) + 5 - ((sqrt(2736) - (-1 + sqrt(2736))) + 3 + sqrt(2736) + -1 + -1)))**2.\nAnswer: -864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7*g**3 - 11*g**2 + 8*g + 8. Let c(x) = 20*x**3 + 34*x**2 - 22*x - 23. Determine -4*c(j) - 11*s(j).\nAnswer: -3*j**3 - 15*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yevm when four letters picked without replacement from {m: 3, e: 1, y: 1, v: 7}.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*b + 384*b + 26730 = 0. What is the greatest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1487484 and 93636.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1271168 * 1.2.\nAnswer: 1525401.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00184598893 to 5 dps.\nAnswer: -0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/40? (a) -2 (b) -5\/3 (c) -12 (d) -5 (e) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.06. Let k = 0.36 - m. Let g = -8.1 - -8. Which is the closest to -2\/7? (a) -0.5 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**4\/24 - 99*w**2 - 2*w. Let q(s) = 3*s + 1. Calculate 4*n(v) + q(v).\nAnswer: 7*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385888289.\nAnswer: 385888289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10272, 20538, 30802, 41064?\n\"Answer: -i**2 + 10269*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-4))\/(1\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -754.9 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5, -4*k - 19 = -p - 2. Let s(z) = -2*z**3 + 2*z**2. Let d(i) = 2*i**3 - 3*i**2. Determine k*s(h) - 2*d(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7415003\/5 or 1483002?\nAnswer: 7415003\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -22 + 0*x + 11\/2*x**4 - 7\/3*x**3 + 0*x**2. What is the third derivative of u(y) wrt y?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1291?\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 18*m + 23. Let q be a(15). Suppose y + 11 = q. What is the highest common factor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (20\/130 - 22\/(-26)) + 723 and 24?\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.43, -1.1, 2\/7, -190, -2\/3 in decreasing order.\nAnswer: 0.43, 2\/7, -2\/3, -1.1, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/2)))**(-4\/5)\/(j\/((j\/(j*j**6)*j)\/j)*j**(3\/2))*((j\/(j**(-1\/2)\/j))**(-44))**(-2\/39) assuming j is positive.\nAnswer: j**(-1271\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2}. What is prob of picking 1 o and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 61\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 2.1, 0.2, -26, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Suppose r = -0*k + 5*k. Suppose k = -0*g + g - 3*o - 2, -g + 18 = o. Calculate the highest common divisor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 8*i + 6. Let u = 377 + -208. Suppose 5*z = u - 59. Suppose z - 70 = 6*f. Give v(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2. Let k(g) = -2858178*g**2. Determine k(a(f)).\nAnswer: -25723602*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -182835500 + 73.6\nAnswer: -182835426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-10) - (-18 - 2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-641044*z - 644822*z + 1269001*z)*(-z**3 + 4*z**3 - 2*z**3) - z**2 + z**2 - z**4 to d + s*z + q*z**3 + o*z**2 + c*z**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321085 is divided by 2378?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 105 - 125 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/2, -4, 16, -2\/11 in ascending order.\nAnswer: -4, -2, -2\/11, 3\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*a**3 + 2270*a**3 + 5*a - 5*a.\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53217 > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:11 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-249)\/(-9) + 1\/3. Suppose -12 = -2*g - p. Let l be g\/(-10) + (-1 - 26\/(-5)). Solve 5 = -3*t + 4*t + l*q, 0 = t + 3*q - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*5\/15*9\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-94) - ((-2294281)\/(-56870))\/283?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w + 1. Let o = -111 - 36. Let p be 1\/(o\/150 - w). Calculate the greatest common factor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*h - 270. Is (-868)\/(-18) + h\/(-135) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5795\/4, -2\/9, -2 in ascending order.\nAnswer: -5795\/4, -2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let k = 224 + -214. Determine g(k).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1095460136?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3574 or 226.2?\nAnswer: 226.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5 - 7.5. Let y = 5 + p. Let t = -0.358 + -0.042. Sort -0.5, y, t in decreasing order.\nAnswer: t, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -7*m**2 + 38*m + 3846. Determine q(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/13 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/10 - (-8)\/(-20). Let z be (9\/n + -2)*0. What is the derivative of 2*v + 3 + v + z*v - 4*v wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 683\/2055 - -2\/2055. What is the nearest to k in -4\/3, -3, 0.5, 0.07?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1e0?\nAnswer: -1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 227.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**31)**(-2)\/(((k\/(k\/(k**(-34)\/k)))\/k)\/k**(-9\/2)) assuming k is positive.\nAnswer: k**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*n = -15 - 20, 5*w - 37 = -4*n. Solve 4*y = w*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 40*n**3 + 4*n**2 + 12*n + 4. Determine z(-2).\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1540 = 2*i. Suppose i - 2374 = -2*s. Suppose -2122 = -3*y - s. Round y to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 15224, -2, 0.2?\nAnswer: 15224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (28 - (-21 - -60)) + -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92212 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: In base 6, what is 4 + -1044504?\nAnswer: -1044500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 + 5a2021?\nAnswer: 5a1a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(90) + sqrt(90)))\/((sqrt(18)*2 + sqrt(18))\/sqrt(9)) + -2)**2.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9*((-2)\/(-20) + -1) and (5 + 282\/(-54))\/((-240)\/2952).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 1, t: 1, g: 1, j: 1, h: 5, d: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:42 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**7\/1680 - k**6\/960 - k**5\/480 + k**4\/192 - 4*k**2. Factor w(j).\nAnswer: j*(j - 1)**2*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -10930313709.48?\nAnswer: -10930313708.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*g**2 + 6*g**2 + 12*g**2 + (-4*g - g + g)*(11 - 3*g - 11).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p - 208. Let k be h(-21). Let r(m) = -16*m + 39. Let w be r(k). Solve 6*y - w*y = -4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12702, -51023, -114894, -204315, -319286?\n\"Answer: -12775*d**2 + 4*d + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 + 7*q + 14. Let l be o(-7). Let a = l - -598. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 112012 = -4*a. Let l = 27006 - a. Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 23*i**2 - 18*i - 26. Let a be y(-13). List the prime factors of (-1)\/(-4) + a\/84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**44\/(f**(2\/17)*f\/(f\/(f*f*f\/f**(-3\/2)))*f) assuming f is positive.\nAnswer: f**(1305\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 + 1. Suppose -3*i + 3*p + 24 = 0, -3*i + 14 = i + 2*p. Calculate the smallest common multiple of i and b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 663780.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((6 - 3) + 2)\/(-1). Let d = z - -13. Let v(l) = -l**2 - 7*l + 10. Calculate the smallest common multiple of v(-7) and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 97442\nAnswer: -2\/48721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 1.13. What is the biggest value in x, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g**2 + 0*g**3 + 209\/5*g**5 + 0*g**4 - 177 + 132*g. What is the first derivative of c(q) wrt q?\nAnswer: 836*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3928, 4744, 5560, 6376?\n\"Answer: 816*o + 3112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 508938 and 26.\nAnswer: 6616194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/195)\/((-1)\/(-25))*100\/(-40)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 1:36 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2468075*g**3 - 3010*g**2 - 409?\nAnswer: 14808450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.060051 rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36 - 62 + 111*t**4 + 28 + 6*t wrt t.\nAnswer: 1332*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from {q: 4, u: 8, x: 4, p: 3}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/6 - (-18)\/(-12). Let h be (-11)\/(-6) + n\/(-36). Solve -h*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, x: 10, t: 6}. Give prob of sequence xttx.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -21*f - 30. Let x be -9 - (-8 - -4 - -1). List the prime factors of a(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408) - 1*sqrt(1408)) + sqrt(1408) - ((-3*sqrt(220))\/sqrt(10) + sqrt(22)))\/((sqrt(2673)*2)\/(-1*sqrt(147))).\nAnswer: -35*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 6342.\nAnswer: 31710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -3801 (c) -23485 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.36 - 2.64. Let q = d - -4. What is the nearest to -2\/7 in -2\/3, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/38)\/((t**1\/t)\/t))**(2\/37))**(-8\/3) assuming t is positive.\nAnswer: t**(-104\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 208706.\nAnswer: 5\/208706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7*1 - 0. Let w = -7 - -25. Let x be w\/12 - (-1)\/(-2). Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 12 = 5*i, -3*l - 4*i = -4*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 33852*t - 473977\/2.\nAnswer: (t - 7)*(t + 67711)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, d: 2, i: 1, e: 1, r: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11153.74 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 200 = -7*d, -l = 3*d - 8425 + 8510 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.17116 - 0.07116. Let r = 1.3 + -6.6. Let v = 5 + r. Which is the closest to 0? (a) d (b) v (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 - u - 7. Let y(g) = -g + 16. Let r be y(20). Let i be (-2)\/r*(4 + -4). What is a(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*d**2 + 2749*d**2 + 6*d**3 - 922*d**2 - 919*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*g + 157*g + 133*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Suppose 2*i + 3 = -3*k, -3*i - 10 - p = -3*k. Let j = i - -6. Let t(a) = a**2 - a. What is t(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:19 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 3 - 2*d - 59*d**3 + 60*d**3. Let t be r(2). Solve -2*a + u = 2, 1 = -t*a + 4*u - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 12, -52, 5 in ascending order.\nAnswer: -52, 5, 12, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4902*o + 7. Let z(h) = -4899*h - 7. Let d(f) = 2*j(f) + 3*z(f). Let y be d(1). What is y rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302651832 divided by 294?\nAnswer: 1029428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + z + 3. Let b be a(-3). Let k(s) = 7*s - 97. Let g be k(14). Let i be (198\/8)\/(-11) - g\/(-4). Sort b, i, -5 in ascending order.\nAnswer: b, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - sqrt(418)\/sqrt(539))\/((sqrt(14) - sqrt(350))\/sqrt(7)).\nAnswer: -3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*q**3*v + 3643757*q**3 + 8*q**2 - 43*q*v - 503*q + v wrt q.\nAnswer: -48*v + 21862542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440975*r + 440975*r + 30*r**3.\nAnswer: 30*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -296*a - 1188. Let y be o(-4). Sort -526, y, 2\/5 in descending order.\nAnswer: 2\/5, y, -526","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/12 and -149\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639268.27 rounded to the nearest 1000?\nAnswer: 1639000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -615.1215 times 0.1\nAnswer: -61.51215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 3)\/(3\/1). Suppose 2*c + q - 31 = k, -39 = -3*c + 2*q - q. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 - 18 + 2*b - 14*b**2 + 5 + 30*b**2 - 9*b**2 as f*b**2 + s + l*b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 11}. Give prob of sequence wm.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = -2*c + 17, 4*c - 4*n = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -p + 17. Solve 3*d = 13 - p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = 5*a - 5*u, -a + 5*u + 1 = 0. Let n be (1\/3)\/(a\/6). Suppose -4*y = -n*y + 26000. What is y rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {p: 7, b: 1, y: 1, s: 2, g: 9}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p - 13*p - 88*p. Suppose 0*f - 5761 = -7*f. Let x(c) = -3*c**2 + f + c**2 - 823. Calculate v(x(n)).\nAnswer: 188*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r + 2 - 3*r - 6718133*r**2 - 5 + 6718137*r**2.\nAnswer: 4*r**2 - 28*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5026)\/(-718))\/(14\/142)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 51 + -27 - (17 - 13)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + 6\/54 + 68\/36. Let n(w) = 3*w**3 + 26*w**2 - 42*w + 9. Let p be n(t). What is the highest common divisor of p and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 11. Put 1\/8, g, -0.3 in increasing order.\nAnswer: g, -0.3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -330255.\nAnswer: 8\/110085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is be (base 16) in base 3?\nAnswer: 21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(3553\/68))\/((-10)\/143)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 2 = 2*y, 3*y = -3. Suppose -4*a + 4*n = -5 - 15, 0 = 4*n + 12. Let s be -4 + a + 26\/1. Solve -2*b - 6 = p*t, 5*t + s = -0*t + 4*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758 - 494. Let z = 259 - b. Let d = -0.58 - -0.08. What is the nearest to 0.2 in d, 4, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 3*y - 5. What is the units digit of m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*f - 15*f = -287 - 2137 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 6)*(4 + 2*a - 4 + (-4*a - 6*a + 6*a)*(0 + 1 + 0) - 3*a + a + 0*a)*(3*a**2 + 3 - 5 + 3).\nAnswer: -132*a**3 - 44*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43237762*k**5 - 183898578*k?\nAnswer: 864755240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 563218, 563214, 563210, 563206?\nAnswer: 563202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 5 (b) -1\/4 (c) -11 (d) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22706 - -33699. Is a a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-8 + 5 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*h**4 + 34*h**2 + 0 - 7*h**2 + 2*h - 10*h**2 - 2 - 15*h**2 as z + t*h + b*h**4 + j*h**2 + q*h**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-115)\/46)\/((-2625)\/84).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631 times -0.5?\nAnswer: 815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15452*d**3 + 8*d**2 - 20*d. Let b(c) = -15451*c**3 - 6*c**2 + 15*c. Give 4*b(z) + 3*h(z).\nAnswer: -15448*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:03 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - c + (2 + 3 - 3)*(-5*c + 2*c + 4*c))*(-6 - 4 - 6).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2365 and 29799.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/20 and 67\/234.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 199709.2355 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698 plus 0.4?\nAnswer: -1697.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 6. Let t be s(6). Suppose t = -0*l - l + 57. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129*(69\/(-23) - (-2 + (-6)\/9)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 65.3073 nanoseconds?\nAnswer: 0.0000653073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 129341810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/7 - 4*i**2 - 28*i = 0?\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 6:53 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32610222?\nAnswer: 2, 3, 603893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-24)\/(-15). Let z be 3*2\/(-3)*-4. Let g = -22827\/5 - -4565. Put k, g, z in descending order.\nAnswer: z, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1159 - -1250) + 1 + 0?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35954, 35660, 35166, 34472, 33578, 32484?\n\"Answer: -100*d**2 + 6*d + 36048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-2\/7)\/n)**0)**27)**(-2\/3))**42 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 101940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/7*(0 + -1 - -1). Let u = 26\/23 + -219\/92. Do x and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = -u - 2*u, u - 3*p = 1. Suppose 5*w = -u*v + 316, 3*w - w - 4*v - 132 = 0. Suppose -12*y + 11*y = -w. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/3 (b) -3\/2 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 + -2?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610135 - 7348342 = -113*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j**4 + 56*j**3 + 75*j**2 - 395*j + 126. Let s(m) = -34*m**4 + 56*m**3 + 74*m**2 - 396*m + 128. Let z(p) = -4*i(p) + 3*s(p). Solve z(f) = 0.\nAnswer: -3, 1\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 66. What is the least common multiple of j(-9) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540882 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or 6109?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + -12 + 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6227, 6219, 6213, 6209, 6207?\nAnswer: 6207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484 - 870*b + 218 + 267)*(-2*b + 4 - 4)*(3 - 3 - b).\nAnswer: -1740*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 7*p = -39*p - 102 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - s - 1. Let k be i(2). Let y = k - 11. Let g(n) = n**2 - 4*n - 3. Calculate the remainder when g(-3) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 594, -3.\nAnswer: -4, -3, 3, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 26*o - 11. Let p be r(-8). Suppose -2859 = -p*l - 1079. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 7*g**2 - 6*g + 6. Let z(c) = -14*c**3 - 68*c**2 + 9*c - 11. Let q be z(-5). Let v(a) = -a**2 - a + 1. What is q*v(y) + o(y)?\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10.7 times 18\nAnswer: 192.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.2, 20, -3\/4, 0.12?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 37657\nAnswer: -11297.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1665\/7? (a) -2 (b) 0.5 (c) -2602 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.638 + 0.362. Put s, -0.05, 1\/7, 2, -1 in descending order.\nAnswer: s, 2, 1\/7, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 49 = -61 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t**2 - 22*t - 2. What is n(-2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -4. Let t be 2\/3*m*48. Let v = 73 - t. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 40 = -7*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 7\/(-3))\/(416\/624). Solve -25*f + 60 = y*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343497818*r + 686995784*r - 343497968*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 41036 = -41876 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 39\/8, -8?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 130\/364*(-16)\/40. Let c = 0.02 - 0.02. What is the closest to c in h, -2\/5, 39?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 3, -7 in ascending order.\nAnswer: -13, -7, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101110000 (base 2) to base 4.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -898 - -897.5. Which is the smallest value? (a) -0.047 (b) 4 (c) -1\/6 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 527*i - 56899. What is w(108)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*m + 5*m - 11*m + 16*m.\nAnswer: -37*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaga when four letters picked without replacement from {g: 2, d: 1, a: 5, j: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 42*c**2. Let u(i) = -7*i**2. Calculate u(w(a)).\nAnswer: -12348*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*l**4 + 104\/5 - 32*l + 52\/5*l**3 + 6\/5*l**2 = 0 for l.\nAnswer: -2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 2 - -5 - 1. Let r(w) = w**3 + 26*w**2 - 1. Let k be r(-26). Sort k, h, 24 in decreasing order.\nAnswer: 24, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - 33*x**2 + 32*x + 102. Determine c(-4).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + -4 + sqrt(567) + -5.\nAnswer: -9 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 142 in -2\/7, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) 2\/11 (d) -0.5 (e) -2\/41951 (f) -4 (g) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 23 = -j, -5*d - 2*j = 2*j - 50. Determine b, given that 3*b**2 + 5 + 4*b**3 - d - 6*b**3 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(1\/(-18083)))\/(-1). Suppose -71*d + 80*d = -114777. Let r = g + d. What is r rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**3 - 7*y**2 + 4. Let m(t) = t**3 - 2*t - 4. Let j be m(0). Let r(o) = o**3 - o**2 + 1. Determine j*r(k) + i(k).\nAnswer: 3*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1073 - 1073 - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-9 - -7) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/45 + (-14)\/(-18). Let x be (1 + 1 - z) + 3. Which is the smallest value? (a) 0.5 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(0 + 2*(1 + sqrt(2057))**2 + -3).\nAnswer: 440*sqrt(17) + 41130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 - -1012. Are 899 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 26736300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-689 - 691 + 271)*(3 - 3 + 2*c)*(-2 + 0 + 3) to z*c + b and give z.\nAnswer: -2218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4290579 or -4290599?\nAnswer: -4290579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1359258845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-225)\/(-1122) + 4\/34 - (-4)\/22. Which is the nearest to -18? (a) r (b) 1 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*k + k + 95, 5*k = x - 60. Suppose x*w = 25*w + 430. What is the highest common factor of w and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 * 8091.\nAnswer: -33173.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5 + 193*v**4 + 6501*v**3 - 69901*v**2 + 161332*v - 98124 = 0.\nAnswer: -37, 1, 2, 6, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 4*s = 0, -h + 24 = -4*s. Suppose 3*a + 5*o = 0, 9*a - 4*o = h*a. Solve 0 = 5*x - 5*r, a*x = 3*x - 4*r - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(2\/3)))**(2\/71)*(v\/(v\/(v\/v**(-1))))**(18\/13) assuming v is positive.\nAnswer: v**(7798\/2769)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28767370.\nAnswer: 2, 5, 2876737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-984)\/51 - (-63840)\/3040\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 + 54*p + 84. Let j be y(-12). Let m = -142 + 295. Let o = -93 + m. What is the greatest common divisor of o and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*s + 4*s - 4*s + (-1 - 2 - 1)*(-1 + s + 1) - 60591*s + 31 + 60592*s - 965 to c + q*s and give c.\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -269421, -538844, -808265, -1077684, -1347101?\n\"Answer: r**2 - 269426*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + -106 + 86?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -7. Let i be (0 + 6)\/((-6)\/u). Solve i*j + s - 5*s = 8, 20 = 3*j + 4*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnno when four letters picked without replacement from cnoococooconcnonoco.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 21 = -5*d, 9*d = 4*d + 25. Suppose 0 = y - s - 80, -5*s = h*y - 205 + 59. Does 31 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -205416?\nAnswer: -1\/68472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2469501423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.77658cm in kilometers?\nAnswer: 0.0008877658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b**2 + 6*b**2 - 3*b**2 - 6 - 7*b + 8*b**2. Let o(q) = 24*q**2 - 8*q - 7. Let t(z) = 7*f(z) - 6*o(z). Is 4 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 1\/9, -2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16840 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 777, 2\/169.\nAnswer: 2\/169, 2\/19, 777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/50 - (-172)\/5. Let s(r) = -4*r**2 + 227*r + 388. Let g be s(58). Calculate the highest common divisor of g and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/6))**(-15)*k**5\/(k*(k**(-8)*k)\/k) assuming k is positive.\nAnswer: k**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 797105, 3188485, 7174121, 12754013, 19928161, 28696565, 39059225?\n\"Answer: 797128*u**2 - 4*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**5 + 673*y**4 + y**3 - 36355*y**2.\nAnswer: 120*y**2 + 16152*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + j - 2. Let a be f(6). Let z = a + -2. Factor 2*h + 2*h**3 - z + h**4 - 3 + 4 - 4*h.\nAnswer: (h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 5. Let w be k(-9). Let j be (-37)\/(-7) + 4\/w. Let f(s) = 6*s - 4*s + 2*s + 6 - j*s. Calculate f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664 - 1998 = -170*k + 706 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704 = -2441*s + 2449*s. Calculate the highest common divisor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-57)\/378 - 18\/63. Factor 0 - 33*k**3 + 4*k**4 + 108*k**2 - 243\/2*k - u*k**5.\nAnswer: -k*(k - 9)**2*(k - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + 3.2. Which is the closest to -1? (a) q (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 12:26 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Suppose 0 = 3*s + 2*t - 17, s - 4*t = -2*t + 3. Solve -2*z = -l, s*z - 8 - 12 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, s: 13, k: 1}. Give prob of sequence om.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10568.3 - -11127. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (3*1*sqrt(320) + -5*(sqrt(320) + 0))**2 + 0.\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376 + -100. What is the highest common factor of o and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*6\/12*10*((-36)\/(-30))\/(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6 = 0, -4*a + 5*c = -0*a - 70. Let v be 18\/4*10\/a. Is 482 - (-1 + v - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 3*s - 14. Let m be q(6). Let v be m\/((-72)\/(-15))*(-6)\/(-20). Which is the nearest to -0.2? (a) 2\/7 (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 3321?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12127 - 11869. What is the highest common factor of 688 and y?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 96 = -2. Suppose 30 = -0*f + 3*f + 2*i, 3*i - m = -5*f. Suppose 2*l - 4*l - f = 0. Let h(n) = -n. Give h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*h*i*q**3 + h*i - 7*h*q**3 + 4*i + 183*q**3 wrt h.\nAnswer: 18*i*q**3 + i - 7*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/7 + 387152*y\/7 + 774308\/7 = 0. Calculate y.\nAnswer: -2, 387154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -863 = -862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 7\/2*f**2 - 1\/4*f**4 + 1 - 4*f + 5\/3*f**3. Give a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (9 - 9) - (0 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 0 - 2) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/(q*q\/(q\/(q**(-22)\/q))))*q)\/q))\/q*q**6*(q**(-9)\/q)**(-2\/25) assuming q is positive.\nAnswer: q**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6463, 23615, 52205, 92233?\nAnswer: 143699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4372491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 6.6. Round a to zero dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -11\/588 (c) -6403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10488 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2712\/390 - 6 - (-4)\/(-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267094719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:00 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h + 41. Let o be r(-3). Which is the nearest to o? (a) -14 (b) -11 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -263\/63, 2\/101, 0.3, 0.1?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b + 3. Let k be z(-3). Let a(v) = -27*v - 155. Let w be a(-7). Suppose 0 = 3*f + 25 - w. What is the biggest value in 0.5, f, -5, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/165)\/((-9)\/2 - (-1155)\/350). What is the fourth biggest value in -9, -2\/9, -2, r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 61547435596.\nAnswer: 61547435595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqqqqccqctqrqqqcqqq. Give prob of sequence cccc.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -28*o - 12. Let l(t) = 11*t + 5. Let z(w) = 12*l(w) + 5*s(w). Let q(d) = d - d - d + 0*d. What is q(z(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*q - 74 = 10. Let t(a) = 5*a - 10. Let j(b) = b - 2. Calculate q*t(v) + 11*j(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 4*w = -45, -10*w = -3*i - 13*w - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, -1\/4, 2\/93, 4, 2\/211?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -66*q**2 - 2822*q + 441. Calculate v(-43).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 238*w**3 - 22248*w**2 + 262080*w.\nAnswer: w*(w - 60)*(w - 14)*(w + 312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from poompolo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 93131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -44. Let h = o + -1184. Let k = h - -1840. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3*279\/124. Let j = 17 + -17.4. Put j, 2\/11, x, -1 in decreasing order.\nAnswer: x, 2\/11, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 10*j. Let z(w) = -w. Let s(a) = v(a) - 3*z(a). Let t be 8*3\/(-18)*21\/2. Let d(f) = -f**3 - 14*f**2 - 7. Let y be d(t). What is s(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.93705g in milligrams?\nAnswer: 84937.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58792, -235155, -529092, -940603?\nAnswer: -1469688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*b + 117, 5*x - 3233849*b = -3233844*b + 115 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (860\/2064)\/(2\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*((-2646)\/132)\/63.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from cdcddddkzdccczcccz.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/23958 and 25\/387.\nAnswer: 1030194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/1208 - -5429\/8456. Calculate the common denominator of -5\/8 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1306 + -1306.1. What is the biggest value in 3, 245, i?\nAnswer: 245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100)*2 + sqrt(100) - sqrt(100)) + sqrt(100) + sqrt(100))*5)\/((sqrt(8) - sqrt(72))*4) + -3.\nAnswer: -25*sqrt(2)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.3 + 25. Suppose 0*n - 3 = 3*n. Suppose -67 + 64 = v. What is the closest to n in 0.2, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:02 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(3 - (-27)\/(-8)). Let c = p - 8. Solve 15 = -5*n, -a - 3*n = 14 - c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.3 + -37.\nAnswer: -74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105172211?\nAnswer: 4943, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 18. Let i(q) = -102*q - 2. Calculate i(x(h)).\nAnswer: -204*h + 1834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2213424 - -1224?\nAnswer: 2220203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.5 + 34. Let z = 0.01 - 5.01. Let u = -3 - z. What is the nearest to 0 in b, -3, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m - 3. Calculate c(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/(-20))\/(6708\/111800)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q**2 + 9*q**2 + 12*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 3, -8, -1 in descending order.\nAnswer: 3, -1, -4, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 7:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(52) + 0.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**3 - i**2 - i + 2. Let y(s) = 17*s**3 - 3*s**2 - 4*s + 9. Let f(q) = -3*q + 21. Let h be f(10). Calculate h*o(t) + 2*y(t).\nAnswer: -2*t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0365 - -251.9635. Let u = 254.74 - f. Let r = u + 0.26. Are r and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12442 (base 5) to base 2\nAnswer: 1111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8880 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 425.\nAnswer: -36125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 3, a: 1, y: 4}. What is prob of sequence ag?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 394, 444, 494?\n\"Answer: 50*p + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.73 + -4.22. Let t = r - -241.49. Let s = -249.9 + t. Round s to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -30. Let w be (3 - 1)*200\/s. Let y = w - 15. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 2*i**5 - i**2 + (3*i**4 + 10*i**4 - 5*i**4)*(6*i - i - 4*i).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143546 is divided by 3987?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = m - 2*t + 10*t - 126, -10123 + 10157 = 2*t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485700 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 - 80732*p\/7 + 18781776\/7.\nAnswer: 2*(p - 40132)*(p - 234)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q = 10*q + 4287 - 712 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 102. Suppose -4*s = -0*s - j. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -1333?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110.931 minutes in nanoseconds?\nAnswer: 66655860000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 0*i + i + 10, 0 = k - 580*i + 576*i - 40 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - -1) - (-1 + 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.227, 2\/421, -1\/6, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-7)\/35 + 222\/(-40). What is the third smallest value in 2, -1\/6, q, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8868210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 5:36 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/6, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2138596 - 0.673858. Let z = -1.1 + 1.56. Let o = z + q. What is o rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let f(x) = -6*x + 26159. Give y(f(q)).\nAnswer: 6*q - 26159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2. Let i(r) = -4625*r - 119093151 + 119093151. Determine j(i(m)).\nAnswer: 21390625*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46286 - 46299. Which is the closest to 2? (a) i (b) -11 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458461268.\nAnswer: 2, 114615317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 22 = 3*i, 4*i - 4*b = -i. Solve -12 = f + i*k, -8 = f + 3*k + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 - 2*f**3 + 20*f**2 - 24*f = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1764*y**4 + 149212*y**3 + 32673736*y**2\/9 + 179565568*y\/9 + 238925440\/9 = 0.\nAnswer: -2444\/63, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -68*o**2 + 3*o + 6. Let q(f) = -205*f**2 + 8*f + 15. What is 3*q(m) - 8*w(m)?\nAnswer: -71*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22341 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -52*t - 5. Let j(n) = -42*n - 4. Let b(k) = -5*j(k) + 4*r(k). Let x(a) = 6*a**2 + 6*a. What is b(x(w))?\nAnswer: 12*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -12*v + 9. Let y(n) = n - 1. Let t(u) = -a(u) - 4*y(u). Let l be t(1). Find the first derivative of -11*p**l + 9*p - 9 - 5*p**3 - 9*p wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f - -f5b39?\nAnswer: f5b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5890089, 11780200, 17670309, 23560416?\n\"Answer: -c**2 + 5890114*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.89 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354831490 is divided by 4048.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -382*z + 181*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10231 (base 4) to base 13\nAnswer: 1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4328, -4356, -4384?\n\"Answer: -28*j - 4300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/12 + 11*b**3\/6 - 12*b**2 - 14*b. Let n be x(7). List the prime factors of -4 + n - -2 - -82.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*f - 3*z - 120, 8 = -2*z. Suppose -140 = -2*u - 0*u. Let k = u + f. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -81323?\nAnswer: -81330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -308249*y**2. Let v(x) = 351*x. Determine g(v(k)).\nAnswer: -37976585049*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/82794096 and -173\/2688120?\nAnswer: 413970480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b9 (base 15) in base 9?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14262, -3, 1\/133?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) -40 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 86*h - 96*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 0, -11 = -w - 2*w + 2*b. Suppose 5*n = n + 4*o + 148, -5*n + 145 = w*o. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 1. Let g(d) = -16*d**3 + d**2 - d - 2. Let l(v) = -g(v) - 2*n(v). Let m = 269 - 291. Let k be (-33)\/m + (-1)\/2. Calculate l(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(6\/7)*u)\/(u*u*u**(-2\/11)) assuming u is positive.\nAnswer: u**(80\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629 = -449*x + 1065 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3388*r + 3384*r = 72, -3*m + 90 = -5*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33179 = 376*a - 8934 + 6963 for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 + 202.4. What is the nearest to -2 in -4\/21, 4, j?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-14))\/(8\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + ((sqrt(1008) + (sqrt(1008)*2 - sqrt(1008)) + sqrt(1008) + 3 + 2 + sqrt(1008)*-1 + sqrt(1008) + 2 + 0)*-2)**2).\nAnswer: -72960 - 4032*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*sqrt(1053)*-6 - ((sqrt(468) - (sqrt(468) - (sqrt(468) + 2))) + -4 + 1 + sqrt(13)))**2.\nAnswer: -662*sqrt(13) + 1424289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 6*s**2 - 2*s + 5. What is m(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.548592004 and 0.3.\nAnswer: -1.248592004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1297.841 + -21.\nAnswer: -1318.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15302 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -3*w - 19*u + 23, -4*w = -2*u + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + c - 1620, 2*c - 12 = -2. Let l(f) = f**3 - 10*f**2 - 7*f + 12. Let n be l(9). Let o = i + n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -10*f + 20\/3*f**3 - 35\/2*f**2 - 26. Determine y so that j(y) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -38205.\nAnswer: -2\/38205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (768\/18 - 2)\/((-8)\/(-12)). Solve 168*z - 225 + 1373*z**2 - 690*z**2 + i - 687*z**2 = 0 for z.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -h + 15, 8*p + 5 = 3*p + 3*h. Suppose -5*x + 210 = r, -3*x + p*x = 3*r - 630. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 12 + (1 - 0). Suppose 5*u = 2*q - f, 0*q + 38 = 5*q + 2*u. Let g(o) = -o**3 + 6*o**2 + 18*o - 4. List the prime factors of g(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, 1339, 2\/471?\nAnswer: 2\/471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 20*t = -3*p + 228, 12 = -4*t. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wffywyvfyycfffwa. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 807 = 5*j - 0*j, 0 = 2*j - 3*l - 330. Suppose 4*y - 5*y = -j. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*b = -10, 0*m = 3*m + 4*b + 32. Let j = m - -43. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/15*(-63)\/(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.637 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Let x(m) = m**2 + 13*m + 9. Let n be x(-12). Give s(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 1095 (c) -157304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from {g: 6, x: 1, t: 1, d: 6, e: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:58 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*m - 10952, 2*m + 2*m = 5*u - 8765. Let a = m - -3807. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:16 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.9, 5, 0?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {a: 1, u: 2, h: 3, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:16 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-204)\/8)\/(15\/(-40)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*c + 2*c**2 - 6*c**2 + 3101*c - 1560*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3196.04 - 3196. Which is bigger: q or 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16118798.\nAnswer: 2, 8059399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:38 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 + 177*q\/2 + 183.\nAnswer: -3*(q - 61)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4925*s - 320145. What is f(-65)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b - 1. Let l be d(-1). Let u = -21 + -9. Let o be (27\/u - (-4)\/10)*-4. Solve -4*x + o*j + l = 0, 3*x = -2*j - j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(sqrt(20)\/sqrt(4)))\/(sqrt(10) + (sqrt(10) - (sqrt(110) - (3*sqrt(110) + sqrt(110)))\/sqrt(11)))*3.\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 17. What is the remainder when 93 is divided by b(-33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 17\/3, 3, -61\/5, -1, -34?\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -524883\/48190 - -1255\/122. Let f = s - -2\/395. Let r = 0.8 - 0.3. What is the nearest to 1\/4 in -0.5, r, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 4*s - 11. Let l be u(0). Let a = 173\/2 + -455\/6. Let n = a + l. What is the closest to n in 2, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Let l(h) = -h**3 + 5*h**2 - 2*h - 5. Let x be l(a). Suppose 13 = x*j - 5. Solve 2 - j = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -166 - -112. Suppose 3*h - 9 = 4*r, -4*r - 3*h + 1 = 40. Is (-4495)\/r + 9\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -18*g. Let v(o) be the first derivative of 1\/2*o**2 + 45 + 0*o. Calculate a(v(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19634 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: Put 5, -3, -2\/7, 0.1 in decreasing order.\nAnswer: 5, 0.1, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42510755, 85021507, 127532259, 170043011?\nAnswer: 212553763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjaa when four letters picked without replacement from {j: 6, m: 3, y: 1, a: 4}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4274, 8486, 12698, 16910?\nAnswer: 21122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from cacccdccdccacaacd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0048183 rounded to 4 decimal places?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8687, -9074, -9463, -9854, -10247, -10642, -11039?\n\"Answer: -t**2 - 384*t - 8302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b**2 - 54*b + 46. Let z be r(-19). Let a = -11671\/16 - z. What is the common denominator of -61\/14 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.4 (c) -2\/7 (d) 3\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1179 + 39. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 4. Let n be (c + 1)\/(3\/6). What is the second derivative of 2*t - t**n - 2*t + t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/h**(-1\/2))\/h*h*h))\/h)**(1\/18))**(-44)\/((h**(-1\/2)*h)**(-3\/20)*(h**(2\/17)\/h)\/h*h\/(h**(-1\/5)\/h)) assuming h is positive.\nAnswer: h**(7183\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-4)*(-10)\/(-4) + 5. Let y be (0 + 1 - 2) + 67. Suppose -a + 4*a - y = g. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 24*y + 22. What is n(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a + 50. Suppose 3*h - 78 = -d - a, 2*d - 4 = 0. What is the remainder when 87 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 5*q**2 + 6*q + 4. Let o be g(6). Suppose 0 = 3*i - 0*p - p - 193, 4*p = -o*i + 252. What is the highest common factor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1747*d + 3354*d + 2882*d + 107456 = -183*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(55\/2) - 134\/11. Let d(g) = g**3 + 12*g**2 + 3*g + 31. Let c be d(u). What is the units digit of (-2 - 18\/c)\/((-23)\/(-690))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 740 divide 18929233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 1907*d + 216 - 451)*(5*d**2 - 4*d**2 + 0*d**2).\nAnswer: 1907*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 547 + 106 + 955 - 1615*y + 1321 with respect to y.\nAnswer: -1615","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*(-31)\/2852*23.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1. Suppose -n + 4 = -0*n. Suppose 0 = -2*l + 5*y - 23, 2*y = l + 7*y - 26. Let g(s) = -3 + 1 - 1 - 2*s + 0. Give l*g(o) + n*j(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5 + 18*k**3 - 8*k**2 - 24*k = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128022729?\nAnswer: 3, 67, 383, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 0.6, -234 in descending order.\nAnswer: 0.6, 2\/21, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 305 and 55.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 n when three letters picked without replacement from ddnddddndnn?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 1:22 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = -35. Let t(n) = -356*n + 7 - 391*n + 748*n. Let c be t(i). Let j(o) = -o**2 - 4. Calculate j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:29 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 6, p: 3, l: 4, v: 2, g: 1}. What is prob of sequence lv?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h - 4*p - 77, h - 179 = 345*p - 332*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 696 + 18?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5540 - -5541. Which is the second smallest value? (a) -4 (b) y (c) 6\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1289586 and -4.\nAnswer: -3.8710414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 767, -1\/8, -6, -0.5, -2\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1482 by 1482.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u, 4*u + 1 = o - 0. Let j(h) = 2*h**2 - 3*h**2 - o + 12*h + 19. What is the units digit of j(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 2, 3*m - 31 = 4*v. Let n(h) = -h + 12. Let w be n(v). Suppose -7*o - w - 163 = 0. Which is bigger: o or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 399552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302149 to the power of 1\/2, to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -5*l - 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.66 + -11.86. What is the fourth smallest value in 65, 3, 1\/2, k?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r. Let o(f) = -19*f**2. Let k be o(1). Let n = -236 + 218. Let u = k - n. Calculate s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 44328957.\nAnswer: 22164478.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186114235?\nAnswer: 5, 31, 577, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375324253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 53 = 2*a, -2*a = x - 5*x - 56. Solve 8*z - a = 18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130570.80509 rounded to the nearest ten?\nAnswer: 130570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + k + 10. Determine w(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.38 (b) -302 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (1 + 1) - 32\/(-16). Suppose -3*x - v*j = -8, 8*x + 3*j - 6 = 5*x. Suppose 0 + 0*h - 6*h**3 + 4\/3*h**2 + 14\/3*h**x = 0. What is h?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(3\/11)*(q\/(q*q\/(q*q\/q**(-5\/4)*q)*q))\/q*q**(4\/7)*q*q\/q**(-3)*q**(-2\/9)*q**5*(q*q**(-2)*q*q*q)\/(q*q**(-1\/9)\/q) assuming q is positive.\nAnswer: q**(40021\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 4*l - 2*l - 1. Let y = -10691 + 10695. Give u(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64150.\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*m - 16 = -z, 4*z - 64*z + 69*m = -13*z - 16*z - 234 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, 4, 393\/5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6265?\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*-1*6*61\/366)\/(10\/(-190))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(8 + -3)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13222 (base 7) in base 14?\nAnswer: -1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 25. Calculate the remainder when 123 is divided by o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*x**3 + 2*x**2 + 1793771 + x**2 - 1793783.\nAnswer: 150*x**3 + 3*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9460*m**2 - 230*m + 3 wrt m.\nAnswer: -18920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*z - 2*z**5 + 2*z**5 - 5*z + 6*z**5 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5402827 - 10805653 - 68*c**2 + 5402826.\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 602822339 to the power of 1\/4, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**3 - 4*f**2 + 5*f + 12. Is 50 a factor of k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -3*p - 1464. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) + 14\/120. Sort j, -0.5, -3\/2 in decreasing order.\nAnswer: j, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.79438 micrometers to millimeters.\nAnswer: 0.00979438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1, 2, 107, -0.5, -16?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**2\/4 + 39*w - 159\/4 = 0. Calculate w.\nAnswer: -53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -8. Suppose -x = 2*v - 3 - 8, -5 = -x. What is the second derivative of 5*a - t*a**v - 7*a - 5*a wrt a?\nAnswer: -180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 752 + 72 = 0. Let y = k + -202\/3. Factor 0 + 2\/3*m**3 - 2\/3*m - y*m**4 + 2\/3*m**2.\nAnswer: -2*m*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 28\/(-49) + (-464)\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/21 - 148970*h\/21 + 44120200\/21 = 0. Calculate h.\nAnswer: -74780, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14134*g**2 + 6*g. Let j = 108 + -115. Let h be o(j). Let m be (3 - h\/8)*320. What is m rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-206)\/(-30) - (-2)\/15. Suppose 0 = -g*l + 2*l + 2*w + 26, 4*l - 22 = 2*w. Solve -4*h + 5*t + 6 = -0*h, 4*h - 4*t = l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 7*c**2 - 12*c + 13. Let x be m(5). Suppose 24 = x*v - 18. Solve -q + 6*q + 18 = 4*l, 0 = 3*q - 4*l + v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38395847 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + -4 + -20 + 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 3.41?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*q - 17, 2*q = -q - 4*t. Suppose 3*z = 2*m + 6, -q*z - 3*m + 19 = -2*m. What is the remainder when 14 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/4040763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 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: Simplify (-6*(sqrt(112) + sqrt(112) + -2) - (-4 + 1*sqrt(112)))**2*-1.\nAnswer: -19184 + 1664*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose y*a + 25187 = -46813. What is a rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -175*p**3 - 2*p**2 + 2*p - 1. Let f be r(-3). Let a = -884 + f. What is the units digit of a\/81 + (-2)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -732*j - 67. Let m be -1*((-4)\/5)\/(4\/70). Suppose h + r + m = -0*r, -r = 2*h + 25. Is p(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/56019 + 2742451\/69463560. Find the common denominator of 91\/320 and i.\nAnswer: 9920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 2*o. Let w(i) = -49*i**2 + 21*i. Give 21*l(d) + 2*w(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 6. Let k = 94 - 75. Suppose t + 3 = k. Solve b*v + v = -t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dse when three letters picked without replacement from ddduhedusghuudh?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/427 and -38\/263459.\nAnswer: 263459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 21. Let x = 1127 + -1119. What is the lowest common multiple of c and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 56*d**6\/15 - 89*d**2\/2 + 192*d. Differentiate h(r) with respect to r.\nAnswer: 448*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -365 + 387. What is the lowest common multiple of 77 and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18876 take away 1?\nAnswer: -18877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280259934?\nAnswer: 2, 3, 46709989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -324477, -324483, -324497, -324519, -324549, -324587, -324633?\nAnswer: -324687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2709)\/1161)\/(4\/192)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 15. List the prime factors of w(10).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62 (base 13) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*t - 6, -57*t + 26*t + 34*t + 6*w + 45 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8448 and 13812.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45\/64, 1, -1\/3, 4 in decreasing order.\nAnswer: 4, 1, 45\/64, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 19*r**2 + 11*r - 15. Let z be b(-18). Suppose q + 28 = z. What is the remainder when q is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-12)*18\/162*(-3)\/(-1).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012723 to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13373800 by 220.\nAnswer: 60790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1744 and 35680?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*l - 24*l - 6. Solve -5 = -3*x - l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -691.8. What is p rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -869, -1673, -2479, -3287?\n\"Answer: -d**2 - 801*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*d + 13 - 69, 4*z + 17*d = 19*d + 34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 11*d**6\/180 - d**5\/60 - d**4\/12 + 4*d**3 - 10. Let v(g) be the third derivative of q(g). What is the units digit of v(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + 6*s - 8. Suppose -54 = 14*c - 17*c. Calculate the least common multiple of n(4) and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 3 = -42. Suppose -c*g + 10*g - 150 = 0. Solve 5*n = -25, -5*x - g = n + 2*n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**4 - 603*o**2 - 26*o + 5203. Let r(y) = 5*y**4 + 302*y**2 + 12*y - 2602. Let b(h) = 13*r(h) + 6*w(h). Differentiate b(d) wrt d.\nAnswer: -4*d**3 + 616*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825\/647 or 2?\nAnswer: 825\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 15 = -2*h + 15, -5*h - 45 = -5*g. Solve -25 = -g*r + 13*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, y: 5, e: 4, d: 1}. What is prob of picking 1 a and 1 e?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-4))\/((-3)\/(-8))*53. Let s(i) = 52*i**2 + 53*i**2 - g*i**2. Let c(w) = -w. Let a(q) = 10*q**2 + 60*q. Let z(h) = -a(h) - 60*c(h). Give s(z(n)).\nAnswer: -100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + f + 7. Let n = 62 + -57. Let p(h) = 0 + n*h**2 + 2*h + 4*h**2 + 13 + 0. Determine -11*d(b) + 6*p(b).\nAnswer: -b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6302*f - 46. Let x(s) = -3*s - 1. Determine m(d) - 46*x(d).\nAnswer: -6164*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 - 4*l + 6. Let h(n) = 1. Give 6*h(y) - o(y).\nAnswer: -3*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2630686084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 739104 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -4 (c) 0.04 (d) 0.1 (e) 587480 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 189990, 190003, 190024, 190053, 190090, 190135, 190188?\n\"Answer: 4*a**2 + a + 189985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c + 0 + 0 + 6*c. Let o(k) be the third derivative of -5*k**4\/24 + 3*k**2. Give d(o(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149 + -145. Solve -15*o + 64 = c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-11)*h**(-6)*h assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.27 in 106, 2\/3, -0.3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*s**3*y + s**3 - 1002*s**2*y + 369*s*y - 22*s + y - 1 wrt s?\nAnswer: -360*s*y + 6*s - 2004*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 1, y: 3, r: 2, m: 6, n: 2}. What is prob of sequence nym?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/10633 and 53\/2058.\nAnswer: 63798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 1, l: 3, a: 1}. Give prob of picking 1 a and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 s, and 1 l when four letters picked without replacement from {f: 1, n: 1, s: 1, l: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 4, l: 2}. What is prob of picking 3 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3)*3)\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzrrllzlnlifzl. What is prob of picking 1 i, 1 f, and 1 n?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - 2.02. Let u = -191 - -191.3. Which is the second smallest value? (a) 2 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2195 + 315 = -4*d, 3*d = -3*x + 942. What is the smallest common multiple of x and 416?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8233919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b4 (base 13) in base 15?\nAnswer: -e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 841852307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/480*-12)\/((752\/64)\/(-47))?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-120)\/6)\/(-1 + -1). Solve 5*g - 4*b - i = 0, -b = 2*b + 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30599 and 4499977.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 36\/(-8) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104603995.\nAnswer: 5, 37, 565427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - 60*s + 60. Let h be p(1). Which is the closest to h? (a) 0.1 (b) 11\/7 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 9)*18\/2 - (5550 - 5547)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i - 3*g + g, -5*g = -3*i + 8. Let c(n) = n**3 + 2*n**2 - 6*n - 2. Give c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10434, -20860, -31272, -41664, -52030?\n\"Answer: n**3 + n**2 - 10436*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6*v - 88675*a**6 + 7*a**2*v + 9405*a*v wrt a.\nAnswer: 120*a**3*v - 10641000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 2:15 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 35305d?\nAnswer: -35305b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:07 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3940 - -3945. Solve 0 = p + m - 7, 5*p - a*m = -0*p + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:05 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-12)*(-15)\/(-20))\/((-200)\/32).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 12*x - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/5 of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26824.1995 rounded to zero decimal places?\nAnswer: -26824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365747 divided by 9?\nAnswer: 485083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-12)\/576*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkibbbkkizbwkibzkkb. Give prob of sequence zzbb.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*b + 5*b**2 + 91*b + 176*b - 235 + 0*b**2 - 21*b.\nAnswer: 5*(b - 1)*(b + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4097.03 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -62*d**2 - 236*d + 3. What is u(-5)?\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(6\/252). Suppose 36*m - 34*m - 2*r - 16 = 0, -5*m + 4*r + 37 = 0. Solve -m*k = 8 - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86289115 divided by -7645\nAnswer: 11287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, -21, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*d - 2*d + 3845 = 2439 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5908 by -2.\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 + 23732*n**3 + 8 - 23731*n**3 - 4*n + 10*n**2 - 9 as b*n + d*n**3 + y + m*n**4 + x*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1935 - -5919. Suppose g = 12*m + 396. List the prime factors of m.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.562? (a) 17 (b) -23 (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107707679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6580 and 11750?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16437803.\nAnswer: 16437803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2013 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - 3.289. What is u rounded to 2 decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54874*i**5 + 26838*i**2.\nAnswer: 3292440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5254, -5464, -5672, -5878, -6082, -6284, -6484?\n\"Answer: l**2 - 213*l - 5042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -37008*c**2 + 432*c - 432. Let l(v) = 428*v**2 - 5*v + 5. Let o(h) = -5*a(h) - 432*l(h). Let g(f) = 7*f**2. What is g(o(y))?\nAnswer: 145152*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from shseshhemsssetmmhts.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.8707 rounded to 1 decimal place?\nAnswer: 153.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3145 + 3137 - 6282 + 118*u to z + r*u and give r.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 162\/(-24) - (-158)\/88.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32702*z**2 + 27641*z?\nAnswer: -65404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2371 + 1180. What is the hundreds digit of (94 + -95)\/(1\/s*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, v: 4, c: 8}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) - 3936\/(-9). Let v = -232 + t. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24075, -96256, -216571, -385044, -601699, -866560?\nAnswer: -1179651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-86)\/1 + -2). Suppose 0*h - 9*h + m = 0. What is the smallest common multiple of 7 and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1058 - 1261. Which is the nearest to -1\/2? (a) -1 (b) -5 (c) -0.01 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3034124761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = 3*m + 3*t, -m = 5*t + 13. Suppose -8*x = -m*x - 24. Solve 0*h - x*s = 2*h - 8, h - 5*s + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238897972.\nAnswer: 2, 13, 593, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1+-1815.47553906\nAnswer: -1816.47553906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200718419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(12\/11)\/l))\/l**(-2\/5) assuming l is positive.\nAnswer: l**(127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72396 and 10908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45695008*a**4 + a + 80308489 wrt a?\nAnswer: 182780032*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 3\/73, 1\/2, 1861?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 224637871 + -1.403\nAnswer: 224637869.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 + -64.41. Let c = 3.01 + j. What is c rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -74. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6107 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5186826 to four dps.\nAnswer: -0.5187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 6 + 18 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, 39, 144, 303, 522?\n\"Answer: n**3 + 18*n**2 - 4*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 4*s - 3*s + (1 - 5 + 2)*(3 - 14 - 3)*(-4*s + s + s) to the form b*s + a and give b.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 50*d**3.\nAnswer: -5*d**3*(d - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81.4 - 122. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325944 + 325923. Let c = -3 - -6. What is the closest to 0 in o, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppmitypppppptptpaa. What is prob of sequence pa?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 645916 - -26703009. Let i = -3056575 - 292350. Let x = i + k. What is x rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*c + 1)*(-1 - 2 + 1)*(-1727*c + 51186 - 51186).\nAnswer: 6908*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*h + 16, 4*q + 0*q = 2*h - 8. Let v = 3 - h. Let o be v\/7 - 204\/42. Sort -4, o, 2.\nAnswer: o, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196515.3 times -0.1?\nAnswer: 19651.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21142228 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 88114*x + 969220. Determine i(-11).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12205 + 12205 + 11*j + 6*j**2 - 11*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t + 1)*(182 + 463 - 221)*(-5 + 5 + 2).\nAnswer: 848*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 711355, 2845442, 6402251, 11381782?\nAnswer: 17784035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2. Let l be 2*(2 + -2 + 1). Let n be (-2)\/l*19\/19. Calculate y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b - 20. Let d(x) = 36*x + 56. Let y(h) = -5*d(h) - 14*g(h). Let f(w) = -3*w - 11. What is f(y(m))?\nAnswer: -6*m - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3788, 7760, 11730, 15698, 19664, 23628?\nAnswer: 27590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 15 = 103*o - 98*o, 2*o = -5*z - 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Put 1\/5, -5, o in descending order.\nAnswer: o, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0*r**2 - 3*r - 8*r**2 - 1 + 5*r**2 + r**3. Let l be h(4). Suppose 0 = -3*m + 2*f - 3*f + 2, 18 = 3*m - l*f. Solve 7 = -m*c + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -133, 24, 4, -3 in increasing order.\nAnswer: -133, -3, 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 + 3.9. Which is the nearest to 1.4? (a) -0.2 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -12. Sort 2, -2, 5, b in decreasing order.\nAnswer: 5, 2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 10*g**2 + 3*g + 2. What are the prime factors of l(-11)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (1 + 3 + 3)) + -14 + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-26\/3)*b*b**31)**(39\/5))**(-13\/4) assuming b is positive.\nAnswer: b**(-4225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-155)\/93*68\/(-36). What is the third biggest value in u, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.138 + 58.138. Let l = y - 57.5. Which is the fourth biggest value? (a) -0.3 (b) 3 (c) l (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 473\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 17*c**2 - 31*c - 225. Let t be h(-7). Solve -17*j - 105 = -t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 3 + 18*q**2 + 30*q**3 + 5.\nAnswer: 30*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from bomcm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**6\/120 + x**5\/30 + x**3\/6 + x**2. Determine q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227\/2 - 117. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 449 - 2029 = 0. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10)*j*(j**24\/j)\/j)\/((j\/(j**(-2\/99)*j))\/j**20) assuming j is positive.\nAnswer: j**(42451\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n**3 - 77*n**2 - n - 17. Give f(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*i = 8, -d + 5*i + 20 - 1 = 0. Let k(o) = -4*o**2 + 3*o - d*o - 2*o + o - o**3 - 2. Let x be k(-4). Let t(p) = p**2 - 5*p - 5. Determine t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*f = 296, -4*n - 4*f = -6*n - 308. Let d = 235 + n. Solve -2*h + d - 91 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + -186b?\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + m - 2. Let d be i(-2). Let l be d*9*(-6)\/(-8). Let u = 78 - l. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-156)\/4*-1. What is the greatest common factor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 570 - 834. Suppose 588 = -3*o + 4*q - 584, 1961 = -5*o - q. Calculate the common denominator of -51\/8 and 2\/6 + o\/c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*x - 21 - 73*x + 35*x)*(x**3 + 2*x**3 - 2*x**3) + 14*x**4 - 122*x + 122*x + (x**3 + x**3 + 0*x**3)*(0 + 2*x + 0) - x**4 + 0*x**4 + 3*x**4.\nAnswer: 18*x**4 - 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 + z - 1. Let m(v) = v**3 - 24*v**2 + 26*v - 48. Let c be m(23). Let y(j) = 8*j**3 - 7*j**2 + 7*j - 7. What is c*l(n) - 3*y(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.545831 nanograms?\nAnswer: 0.000006545831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*j = 199*j + 609*j - 11305 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*l**5 + 2759766*l**4 - 17157736*l**2 + 4 wrt l?\nAnswer: 840*l**2 + 66234384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20847*s = -21238*s - 15249 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p = 31*p + 123 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*r**5 - 8*r**2 - 4?\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 673581855.\nAnswer: 3, 5, 37, 1213661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 55062, 14, -19 in ascending order.\nAnswer: -19, -9, 14, 55062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 139*b*p**3*w*z - 667*b*w*z + 9*p**3*z + 905*p**2*w*z + 2*p**2*z - 3*w wrt b?\nAnswer: 139*p**3*w*z - 667*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -187, -0.1, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/9 (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 71288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1 + 14*c - 5*c**2 + 2*c**2 + 4*c**2 - 4 - 3*c**2. Let l(j) = -4*j - 3*j + j**2 - 2*j + 2. Give -5*f(x) - 8*l(x).\nAnswer: 2*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*m + 917*m - 409*m + 701*m + 1866*m to x*m + q and give x.\nAnswer: 3273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n**4 - 53856*n - 1859166?\nAnswer: -36*n**3 - 53856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 - 324. Let i = p + 165. What is the remainder when i is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h + 0)*(-763*h + 1606*h - 787*h)*(-2 - 1 + 1).\nAnswer: 224*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 + 0 = 3*q, 16 = -4*q + 2*s. Let o = q - -1. Which is the third biggest value? (a) o (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4*y. Let m be g(6). What is the remainder when m + -13 - (-57 - 1) is divided by (-3)\/(-6) - (-29)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 32030120?\nAnswer: -32030031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3*l + 12. What is y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6067 - 6091.806. Let m = 1934 + -1958.5. Let y = g - m. Round y to 2 dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a - 232 - 118 - 1392 = 671 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -293, -13393, -5, -1 in decreasing order.\nAnswer: -1, -5, -293, -13393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/3, 0.5, -0.3, -0.0114.\nAnswer: -2\/3, -0.3, -0.2, -0.0114, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 15158?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-10)\/(-20)*(1 + -1). Solve -z = 2, 2*z + 7 = 3*p - x*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1113247 or -1113239?\nAnswer: -1113239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u + 4. Let k(f) be the first derivative of -8*f**3\/3 + 9*f**2\/2 - 66*f - 323. Let p(b) be the first derivative of k(b). Calculate 9*l(z) - 4*p(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.18, -1\/3, 3.83573, 5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/161 + 25\/161. Which is the second biggest value? (a) j (b) 5 (c) 0.06 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101501.\nAnswer: 101501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqqh when four letters picked without replacement from hqhhqhhhhq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 102\/14 + 14700\/(-3430)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3064, 6362, 9660, 12958?\n\"Answer: 3298*v - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133\/54 + 1\/27. Which is the smallest value? (a) m (b) 0.2 (c) -1\/9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58454 divided by -22?\nAnswer: 2657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.3756671*2\nAnswer: 2.7513342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215 - 615 + 224 - 2*c + 176.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/7*a**3 + 0 - 2\/7*a**4 - 242\/7*a**2 + 0*a.\nAnswer: -2*a**2*(a + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 2. Let h(f) = 3*f - 5. Let l(y) = -2*a(y) + h(y). Let r(z) = -2*z - 2. Determine 2*l(p) - r(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -44, 0.2, -1250?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -23.254 times -34?\nAnswer: 790.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42559048?\nAnswer: 2, 7, 151, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/650*1\/((-3)\/(-15)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 m when two letters picked without replacement from hhmhhm.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:28 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30240 - 30240.000017559. What is g rounded to seven dps?\nAnswer: -0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73949263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 112920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -14*n**4\/9 + 31462*n**3\/9 + 28504*n**2\/3 - 3000*n = 0.\nAnswer: -3, 0, 2\/7, 2250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-90) + 1924\/(-9360))*0. Let j be 34*1*(-2)\/(-4). Solve q = -5*u - 3 - j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, v: 7}. What is prob of picking 1 e and 2 v?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 8, k: 2, a: 2}. What is prob of picking 1 k and 2 p?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/19, 4, -2\/11, 2, 0.5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8466, 8469, 8476, 8487, 8502, 8521, 8544?\nAnswer: 8571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9.08 or 0.362?\nAnswer: 9.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 726208237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*p + 24*p - 3*p)*(9*p**2 - p**2 + p**2) + 3*p**3 - 2*p**3 - 2*p**3.\nAnswer: -577*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dsddadff. Give prob of picking 1 s, 1 f, and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.979 - -0.079. Let z = t - -5.1. Which is the second biggest value? (a) 2\/5 (b) z (c) 3\/4 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -2, 1, 4 in descending order.\nAnswer: 7, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/7 - 309*t + 1469314.\nAnswer: -(t - 2303)*(t + 4466)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161453\/12 + -13465. Find the common denominator of 113\/160 and y.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3119144 and -981265.\nAnswer: -981265.3119144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4993 is divided by 180?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49463.9147 + 49460. Let m = s + -0.0293. Let r = 4 + m. Round r to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - 15331 + 63355. Suppose -176*a + 178*a = j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + 28\/(-8)). What is the biggest value in -4, n, -6\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -11) + 8 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. Suppose -2*h = h + 15. Let p = h - -13. Suppose r - p - 10 = 3*j, -j = r + 2. What is n(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1055.8 + -1056. Let f be (21\/(-5))\/(-3) + -1. Sort f, 5, h, -4 in decreasing order.\nAnswer: 5, f, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-9)\/12)*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 20*k**2 - 2*k - 2*k**3 + 19*k**2 - k**4 - k**2 to the form z*k**3 + a + y*k**4 + g*k + c*k**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.97 - 15.57. Which is the nearest to 7.3? (a) -1\/9 (b) -2\/7 (c) -0.4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 0*t**2 - t**2 + 0*t**2 + 2*t**2 - 5*t**2 + (3*t - t - 4*t)*(7 - 3*t - 7).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4887 and 891?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -370.96017?\nAnswer: -741.92034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-8)*428278\/(-33). Let n = d + 24045641\/1232. Let k = 354\/7 - n. Calculate the common denominator of 89\/22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)\/(3\/(-66)). Suppose 5*q + 2*r - 20 = 0, 0 = q + q - 2*r - o. What is the remainder when 17\/4*(0 + 4) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1303*u**2 + 321*u**2 + 949*u**2.\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673115?\nAnswer: 3, 5, 71, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 + 1. Let k be b(3). Let t = -49 + k. Let g(n) = 9*n - n**3 - t*n - 5*n**2 - 4 + 0. Calculate g(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1, m: 1}. What is prob of picking 1 m and 1 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 437*g**4 - 438*g**4 - 3*g**2 + 19*g**3 - g - 16*g**3 to the form m + n*g + k*g**2 + y*g**4 + t*g**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3774 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 - 10*k**2 - 7*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-120) - 227\/33 - (-4 + -3)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -3137*k**3\/6 + 53*k**2 - 97*k + 5. What is the derivative of i(m) wrt m?\nAnswer: -3137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/(8\/(672\/35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + 15. Calculate the greatest common factor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179\/46 + 124\/23. Let g = -15\/4 + 117\/28. Let z = 3 - 2.5. What is the smallest value in r, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -275*y**2 - 11*y + 72. Let g be f(8). What is the units digit of (g\/14)\/3*(-147)\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92\/(-24) + 3\/(-18). Let y be -1 - -4 - (a + 3). What is the third derivative of -2*z**y - 5*z**2 + 3*z**4 + z**4 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2192947 times -1?\nAnswer: 2192947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**2\/2 + 4. Let o(i) = 9*i**2. Give o(s(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Suppose -b - 6 = 16. Let i(z) = -10*z - 22. Let u(l) = 2*l + 4. Let c(f) = b*u(f) - 4*i(f). Give 3*c(a) + 10*g(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -189, -5, -1.4, -13?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-16) - (-9)\/12. Let b be 5*-1 + (q - 1). Sort -5, b, -6 in increasing order.\nAnswer: -6, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) -2\/5 (c) -3 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 53. Let n be f\/(-7) + -5843*15\/306880. Let k = n + 140255\/289344. Calculate the common denominator of k and 37\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47892 = -4*t + 16*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-534 - 1694 - 149)*(-22 - 7*y + 22) to the form z + g*y and give g.\nAnswer: 16639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bntnbnnoynonbbnbttbb. Give prob of sequence tnno.\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 38. Let z be r(-21). Suppose s - 3239 = j + 815, -5*j - z = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 4*s**3 - 4*s**3)*(s**2 + 5 - 5) - 2*s**5 + 4 - 4 - 3*s + 3*s - 2*s**5 - 19*s**5 + 54*s**5 + 38*s**5.\nAnswer: 67*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v + 19*v - 10*v - 14*v + 54*v to w*v + x and give w.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(0*c - c + 2*c) - 2*c - 3*c + 3*c - 3 + 9*c - 4*c - 12*c + c + 1 - 1 + (1 - 1 + 2*c)*(0 - 4 + 3).\nAnswer: -9*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 7*h**6\/120 + 3*h**5\/20 - 2*h**4\/3 - 2*h**3 + 2*h**2 + 22*h. Factor a(v).\nAnswer: (v - 2)*(v + 2)**2*(7*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054422664 to seven decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.15 (c) 1459 (d) -3 (e) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3804 + 19 = 5*a. Let i = -2983\/4 - a. Find the common denominator of 79\/12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19040 = -833753*c + 833593*c for c.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -473*o**2 - 6. Let x(j) = -j**2 - 1. Calculate -b(y) + 6*x(y).\nAnswer: 467*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 4. Let w(v) = v - 6. Let l be w(3). Put g, l, 5 in increasing order.\nAnswer: g, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2720200?\nAnswer: 2720200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 24 + 2 + 1. Suppose -4*x + a = -9*x. Sort 3, -4, -2, x in decreasing order.\nAnswer: 3, -2, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528.764 nanograms in milligrams?\nAnswer: 0.005528764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-51)\/18 - 3\/18. Let f be (a\/2)\/((-6)\/16). Let y(w) be the second derivative of w**4\/12 - w**3\/3 - 2*w**2 - w. Give y(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.5 (b) 0.6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259 is divided by 814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 20 = -3*k. Let b = 9 + k. Solve f - 1 = b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*z - 12*z = -169*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 112*t**3 - 53*t**2 + 30*t - 5. Let d(q) = -155*q**3 + 74*q**2 - 42*q + 7. Let z(r) = -13*d(r) - 18*l(r). Suppose a + 2*a + 27 = 0. Give z(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60815\/3428 - 8\/857. What is the common denominator of (-1)\/(60\/537) + (-3 - -7) and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0*u**2 + 0 + 2\/3*u**3 + 0*u**4 + 2\/5*u**5 + 10*u. What is the second derivative of m(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*x + 57 = -3*q, 0 = -2*x - 10. Let b be (q + 3)*87576\/(-230). Let u = b - 1903. What is the common denominator of u and 14\/5?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 904624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4682 (base 10) to base 7.\nAnswer: 16436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 14*j - 19. Suppose 2*y + c + 0*c = 9, 1 = -c. Let s be k(y). What is the greatest common factor of s and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 196*m + 4640.\nAnswer: 2*(m + 40)*(m + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -101, -372, -815, -1430?\n\"Answer: -86*c**2 - 13*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k**3 - 3*k**3 + 13*k - 2*k**3 as p*k + i*k**3 + q*k**2 + u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 6, l: 3, q: 1, m: 8}. Give prob of sequence qp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10. Suppose w - f*w + 7 = 0. Let n(c) = 3*c**2 + 3*c + 2. Let g(x) = 10*x**2 + 10*x + 7. Give w*n(j) - 2*g(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 0*s + 2*s + (-2 - 1 + 2)*(-s + s - s) + s + s + 0*s + (4*s - 3*s - 2*s)*(1 + 1 - 4).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*395\/(-948)*(-460)\/(-50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43100.5941 - -43110. Let o = h - 9.4. What is o rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 3 + -6 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008583 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 1972413, 5, -3\/7, -1 in increasing order.\nAnswer: -1, -3\/7, 2\/5, 5, 1972413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5099\/33 - -1245\/11. Let q = -41 - g. What is the closest to 0.1 in 0.3, 4\/5, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 70 = 3*p, 802*p - 800*p + 4*g - 50 = 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**4\/24 - 7*s**3\/3 - 186*s**2. Calculate y(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4459339667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.88 and 5304.\nAnswer: 5306.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10416179 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 14 = -4*i, -20*i + 24 = -4*v - 25*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 3*y + 3 + 13*y**2 + 9*y - 3*y. Suppose 2*u + 32 = -2*u. Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:54 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 35. Let k be y(-13). Solve r + k*v + 5 = 0, -r - r + 3*v + 12 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -130891\/312 - -1259\/3. Let b = 236077\/18 + -13122. Calculate the common denominator of b and p.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5198.9663 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 12. Let m = 14.3 - i. Let n = 0.3 - 0.5. Which is the nearest to 1\/3? (a) 0.2 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 4*u + 4. Let c be f(4). Suppose -l - c = -5*l. What is the smallest common multiple of l and (-1 + (-20)\/(-16))\/((-40)\/(-160))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300554212 to the power of 1\/2, to the nearest integer?\nAnswer: 36063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 57. Let n = -24 + t. What is the nearest to 0.1 in n, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 - 0?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -22 - (23 - (-8 + 24))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 22 - 5 + 0 + 6*f + 3*f + f**2. Let l be m(-7). Is (l\/(-6) + -3)*-22 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*s**2 - 31240*s - 972452 wrt s.\nAnswer: 26*s - 31240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 84 + 92 = 4*o, 2*c + 4 = 0. Let k = 76 - o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 10*z - 17. Let a be d(-9). Let k = 14 - a. Solve -3*y = -5*q - k, 2*y + q - 15 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/5 - 1029*s**4\/5 - 262119*s**3\/5 + 267289*s**2.\nAnswer: -s**2*(s - 5)*(s + 517)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 1\/60*y**5 - 1\/6*y**3 + 1\/12*y**4 + 0 + 9*y**2 + 0*y. Determine b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-312))\/((-1)\/3)*-136\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3235512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 698 - 414. Suppose -4*m + 352 = -j. Round m to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1126 is divided by 65.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*s - 4*s - 245 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 - (-12*(-7)\/(-14) - 23). Solve -20*l + p*l - x = 0, x - 2 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9389.202 nanograms to grams.\nAnswer: 0.000009389202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + -1 - sqrt(2057) - 4*sqrt(833).\nAnswer: -28*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/6 + 20\/(-30). Suppose 69 = 4*s + 5*d, s = -0*d + 3*d + 30. Suppose 19 = 4*a - s. What is the greatest common factor of q and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 102\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -1a480ea?\nAnswer: -1a480ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121706, 486960, 1095774, 1948154, 3044106, 4383636, 5966750?\n\"Answer: f**3 + 121774*f**2 - 75*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -14, -32, -72, -140, -242, -384, -572?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 0*b - s - 12, -b = -2*s - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 42, 66, 92, 120, 150, 182?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, -2\/2204647 in decreasing order.\nAnswer: 0.2, -2\/2204647, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4204 a factor of 3290447959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.661 - -0.039. Let n = -5.45 + q. Let a = -0.42 - n. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 87*l - 347. Let p be j(4). Let a(f) = -36*f - 24. Let w(z) = -z - 1. Determine p*a(c) - 24*w(c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 31 = -1 + 57 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 6*w - 7. Let s be o(-7). Let n(a) = -5 + a**3 + 2*a**3 + 2*a**3 + 4. Let j be n(1). Solve -3*q - i - 9 = s, i - 22 = j*q - i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - -1 - ((14 - 10) + 3 + -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3ab82 + 8a2?\nAnswer: 3b754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1277 times -0.1?\nAnswer: 0.01277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 8 - 1 = 0. Let g be (h + -73)*2\/(-4). Suppose -2*b - 4*r - 64 = -6*b, 2*b + 4*r - g = 0. Solve b - 2 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 - 9)*(-5 + 4*d + 5) - 3*d - d + 2*d)*(-3*d + 0*d + 4*d).\nAnswer: -58*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**9*u)\/(u**(9\/7)*u) assuming u is positive.\nAnswer: u**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*i + 9. Let o be 140 - 0\/(4 - i). What is the highest common factor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -22. Suppose -u*t + 4*t = 0. Suppose 5*f + f - 294 = t. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 9, -2*d - 2*k = -105714 - 28400. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46296541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 30*w)*(w**2 + 2*w**2 - 5*w**2).\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 302*r - 12. Let o(z) = -101*z + 12. Determine 3*k(i) + 8*o(i).\nAnswer: 98*i + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20770349532+-2\nAnswer: -20770349534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Let t(m) = 5*m - 11. Let y be t(k). What is the highest common factor of y and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150604*t - 50075*t + 120949*t.\nAnswer: 221478*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 133\/(-532) + (-10)\/(-8) + -1. Let j = -484\/1185 - -2\/237. Which is the second smallest value? (a) k (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**2 - 5*n + 2. Suppose 4*t - 5*m + 96 = 0, -10 + 2 = -2*m. Let p = -21 - t. Let c(o) = -4*o**2 - 2*o + 1. What is p*g(q) + 5*c(q)?\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -13. Let d = -2.9746 + -0.0254. Is u at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 29248926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 2160.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 38*i - 11*i**2 + 4 - 34*i to the form v*i + w + a*i**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/10)\/(6\/(-10) + 1). Suppose -4*i + k*a + 85 = i, i = -3*a + 9. What is the greatest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/87 < -107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -1. Let g = 12.99999949 + h. Round g to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**3 - n + 1. Let o = 12 + -11. Let h be a(o). Suppose 5*u = -2*j + 13, 0 = -j + 6 - 2. Solve -5*v = 4*z - 16, 5*v - h*z + 19 + u = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11028496 to the power of 1\/2, to the nearest integer?\nAnswer: 3321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36362.109 rounded to the nearest 10?\nAnswer: 36360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 12*p**2 - 9*p - 11. Let q(b) = -b**3 - 4*b**2 + 8*b + 5. Let u be q(-5). Let f be o(u). Let i = f + -159. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -0.4, -2, 2, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 4, x: 2, i: 2, d: 1, g: 3}. What is prob of picking 1 c and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 322\/(-10) - 4 - 6\/(-90)*3?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + (-1 - -14) - -13 - -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4686810 divided by 937362\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 5*p**2 + 8*p - 7. Let z = -6 - -12. List the prime factors of k(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - sqrt(65)*4 - sqrt(65))*2 + 6*sqrt(65)*-1)\/(-3*sqrt(320)*-3*-6).\nAnswer: 7*sqrt(13)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 7*c**4 + 9666480*c**3 + 16571091*c**2 + 4142770*c - 2761848 = 0.\nAnswer: -1380924, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-1))\/(1\/1). Suppose -b = -v*b - 1381911. Let f = -810637 - b. What is f rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 3*d**2 - 3*d - 4. Let u be r(6). Let y = u - 85. Let n(b) = 7 - 8 + b**2 + y. Let z(x) = -x. Give z(n(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387482 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(9\/(-7722)*-39)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 - 38*s - 101. Let v(q) = -5*q**2 - 41*q - 102. Let z(m) = -3*b(m) + 4*v(m). Factor z(u).\nAnswer: -5*(u + 3)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -9*y**5 - 925*y**2\/2 + 1302*y. What is the first derivative of r(k) wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 20 = 13*q. Let o = 4 + -1. Solve 0 = -5*s + q*s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i**2 - 350*i - 6. Let b(t) = 8*t**2 + 351*t + 7. What is 6*b(c) + 7*l(c)?\nAnswer: -c**2 - 344*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -487368, -486979, -486592, -486207?\n\"Answer: -x**2 + 392*x - 487759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/23, -2, -4.\nAnswer: -4, -2, -2\/7, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 424 = 3*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1174 and -101708.\nAnswer: -102882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 13*r**2 - 2998*r + 2997*r + 43*r**2.\nAnswer: 30*r**2 - r - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-5))\/(-3)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 8*u**5\/5 - 316*u**4\/5 - 32*u**3 = 0.\nAnswer: -1\/2, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8546 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 19135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.285 + 0.285. Let w = 1 + -1.1. Put 2\/7, j, w in increasing order.\nAnswer: j, w, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 27*w. Let m(u) be the first derivative of -u**5\/60 + 25*u**2\/2 + 1. Let j(s) be the second derivative of m(s). Determine j(f(i)).\nAnswer: -729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3951 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -95, -211, -373, -581, -835?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 746162874 to the power of 1\/2, to the nearest integer?\nAnswer: 27316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -16\/6441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 13252233 = 277*p - 19378948. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*f - 4*f - 8 = 0, 3*f = 2*d - 17. Let v be -3 + d - 36\/33. Is v not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 9*b**2 - 68*b - 57. Give w(9).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*t = 253*t - 725 + 2393 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/17 (b) -0.1 (c) -65 (d) -135 (e) -15 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*q + 21 + 8, -q - 11 = -2*p. Let v be 78\/2*(-6)\/18. Sort 2, q, v in decreasing order.\nAnswer: 2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 13*q + 3. Let p be n(-13). Suppose -2*s + 325 = -p*s - 3*a, 25 = -5*a. Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - 3253786?\nAnswer: -3253830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 11 - (-24364 + 24391)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 10*f**2 - 24*f - 5. Let w be h(5). Suppose -4*c + 676 + 624 = w. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 609*a - 5764. Let z be o(11). Are 944 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + l)*(-l**3 + l**2 - l**2 - l**2).\nAnswer: -3*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 + 50*f**2 - 329*f - 8199. Give y(-25).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 217 - 192 = 0. Factor 18*y**4 + 3*y**j + 36*y**3 - 1062*y + 535*y + 536*y + 30*y**2.\nAnswer: 3*y*(y + 1)**3*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309772280 a multiple of 2120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10492*z**2 - 15*z - 29. Let u(v) = -3497*v**2 - 5*v - 10. Let h(j) = -4*f(j) + 11*u(j). Let x be h(-3). What is x rounded to the nearest 1000?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + 83. Suppose -z + h = 2*q, q = -4*z - 2 + 40. Suppose 0 = -11*c + 591 - 41. What is the greatest common divisor of z and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from iaaaaanaanaanaaa.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.67 - -0.33. Which is greater: d or -11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539996 divided by -4.\nAnswer: -134999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1694b3 + 1?\nAnswer: -1694b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 553019504 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -84 - 66. Let k(w) = w**2 + 26*w - 144. Let a be k(-31). Let g(d) = d**3 - 7*d**2 - 41*d - 22. Calculate the remainder when j is divided by g(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 7:20 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)\/m)**(-7)\/(m**(-1\/4))**(-1\/77) assuming m is positive.\nAnswer: m**(2155\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2835.69 or -888?\nAnswer: -2835.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 13*r**2 - 6*r**2 - 3*r**2. Let o(x) = 3*x**2. Determine g(o(f)).\nAnswer: -171*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 5056\/(-560))*-2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 48425041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (620\/(-4004) - 27\/(-351))\/(20\/(-55)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {p: 6, n: 1, i: 7, o: 4}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*k**3*z**3 - 10*k**3*z + 2*k**2*z**3 + 22*k**2*z**2 wrt z?\nAnswer: -258*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 42*o - 159. Let n be (-84)\/126 + (-464)\/(-12). What is h(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, a: 2, n: 1, l: 10, t: 3, h: 2}. What is prob of picking 1 t and 1 l?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + u + 5. Let t(q) = 2*q**2 + q + 3. Suppose 9 = -6*z - 9. Determine z*x(b) + 5*t(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppcagpppao. What is prob of sequence gopo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 2) + (3 - -2) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*v = -285*v + 1010 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2 + 2)*(0*x - 2*x + 3*x) - 2*x**4 + 0*x**4 - 10*x**4 + (-1 + 2 - 4)*(10*x**2 - 10*x**2 + x**4).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 298381 (base 10) to base 4\nAnswer: 1020312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1109831456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -307, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-3))\/1*-1. Let l = 3 - g. Suppose l = y - 0*y. Let n(m) = m**3 + 2*m**2 + 1. Let q(d) = 3*d**3 + 7*d**2 + 4. What is y*q(b) - 14*n(b)?\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 59976*v - 224820036.\nAnswer: -4*(v + 7497)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 71*f - 22*f - 1 + 84*f - f**2 in the form t*f**2 + u + a*f and give a.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1555, -1535, -1507, -1471, -1427, -1375, -1315?\nAnswer: -1247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 105, -100, 5, 0.5, 4 in decreasing order.\nAnswer: 105, 5, 4, 0.5, -0.06, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35359 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23534806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 1. Let u(i) = -i**2 + 4*i + 6. Let c(d) = -3*n(d) - u(d). What is c(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Suppose -3*y + 161 = c, k*y + 0*y = -5*c + 90. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 18, 35, 58?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppupuppupp. Give prob of sequence up.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2786.91726 and 354.\nAnswer: -2432.91726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 320 = -3*h. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -30*v**3 - 2010*v**2 + 6*v + 395. What is w(-67)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -0.3\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, -170, -380, -590, -794?\n\"Answer: q**3 - 9*q**2 - 184*q + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by (-1)\/(-44 + 39 - 714\/(-143))?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, -9419, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 12:29 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 216287034 and 0.2.\nAnswer: 216287034.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbbb when four letters picked without replacement from {z: 6, g: 4, b: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42670955153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*-3*sqrt(121) + sqrt(121)))\/(((sqrt(176)*-3)\/sqrt(4))\/sqrt(4)).\nAnswer: 85*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 19*p + 859. Let o be z(-40). Solve 0 = -17*b - o*b + 216 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**2 + 22*q - 6. Suppose -7*h = -3*h - 64. Let f(y) = 4*y**2 - 7*y + 2. Let t(c) = h*f(c) + 5*d(c). Is t(2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 15 + 16 + 11)*(q + 0*q + q).\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4737 > 1\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(-4*d + 4*d - 5*d + 2*d - d - 4*d + (3 - 4 + 3)*(-4 - d + 4)) + (2 - 2 + 1)*(3*d + 3*d - 7*d) to the form m + n*d and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -87a9?\nAnswer: -87a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2320\/672)\/145)\/((-57)\/(-36)).\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 259 - -559. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/56*(-40)\/(-55).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2916 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/8 + 29*u**4\/8 + 1029*u**3\/8 - 1541*u**2\/8 - 11135*u\/2 + 14700 = 0?\nAnswer: -20, -8, 3, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-164)\/(-1066) + -10*23\/(-26)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1504 is divided by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(5 - 5 + 2*z) + 0*z + 3*z + 0*z + (-1 - 2 + 0)*(-2 + 2 + 2*z))*(-2*z**2 + 2*z**2 - z**3).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**10*t)\/t**6)\/(t**2)**12 assuming t is positive.\nAnswer: t**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 h when three letters picked without replacement from {h: 5, x: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -11*v + 1. Let w be y(2). Let l be 237\/w + (-2)\/(-7). Let t = -6 - l. Solve -s + 1 = -2*r - 4, -5 = -t*r - s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 19812?\nAnswer: 39624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5675139 + 5675139 + 611*g + (-4 + 2 + 0)*(-g - 3*g + 6*g))*(-g - g + 0*g)*(3 - 2 - 3) in the form u*g + z + s*g**2 and give s.\nAnswer: 2428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344) - (sqrt(1344)*-3 + sqrt(1344)))*-2*4)\/((sqrt(24)\/sqrt(2)*4)\/(sqrt(36)\/(sqrt(9)*-1))).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 113354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - m**4 + 2*m**3 - 2*m**2 + 71*m + 34*m - 103*m to the form x*m**2 + d*m**4 + g + l*m + a*m**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 320150 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-27) + 22 + 2618\/(-63) - 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 482879 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Let q(b) = 3*b**2 + b - 5. Let s(y) = -2*y**2 - y + 5. Let j(i) = k*q(i) + 4*s(i). Let c(z) = z**2 - z + 1. Calculate -3*c(m) + j(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**(2\/11))\/h*h)\/h)\/h**(4\/5))\/((h\/(h**(-4)*h*h))\/(h*h*h**(-3\/4))))\/(h**(3\/8)\/h**(-3\/2))**(2\/77) assuming h is positive.\nAnswer: h**(-1861\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let n(c) = 18*c - 5. Suppose -3*w - 7*x + 2*x + 5 = 0, 4*w + 2*x - 16 = 0. Let r(j) = -27*j + 7. Let g(y) = w*r(y) + 7*n(y). What is h(g(s))?\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*m - 63*m - 342 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 2277?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 145, 139, 121, 85, 25, -65, -191, -359?\n\"Answer: -s**3 + s + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1163\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -5*t**3\/6 + t**2\/2 + 7*t. Determine c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/128 and 37\/1088?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*t = 1099, -2*q + 0*t - t + 2178 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w**2 + 2*w + 5 + 3*w**3 + 388*w**4 - 193*w**4 - 192*w**4. Let n(z) = 2*z**4 + 2*z**3 + 4*z**2 + z + 3. Let r(v) = -5*n(v) + 3*u(v). Factor r(x).\nAnswer: -x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 f when four letters picked without replacement from {s: 5, f: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.124 + 43. Let w = a + 3.088. Let p = 0.036 + w. Does p = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-35) + (-182)\/(-98). Let z(u) be the first derivative of u**2 + u + 2. What is z(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*w**2 - 85*w**2 - 45*w**2 - 47*w**2.\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, i: 2, h: 4, j: 4}. What is prob of picking 1 j, 1 h, and 1 i?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsdgsqbo. Give prob of picking 1 q, 2 b, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24633053 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1, 1\/248, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 19102 = -4*t - 3206, -5*t + 19870 = 2*z. What are the prime factors of t?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-10 + -1 - (21 - 30)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dggd when four letters picked without replacement from dggvmgggvvgdggvge?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 11*t**5\/20 + t**4\/3 - t**3\/2 - 188*t. Let x(y) = -12*y**3 - 5*y**2 + 3*y. What is -5*v(p) - 4*x(p)?\nAnswer: -7*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 120. Let x = -0.06 + -1.94. What is the closest to 1\/3 in 0.3, x, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204169749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27423612 divided by 3047068?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.358 + -46.99595. Let t = -1.37 + i. Round t to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 10305.\nAnswer: -2\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14153959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.021262 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(209) + sqrt(209) - (-2*sqrt(209)*4 + sqrt(209)))*-6)\/(1*sqrt(275)*2 - 1*(sqrt(275) + -1*sqrt(275) + sqrt(275))).\nAnswer: -84*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4 - 3 + 3 - k - 3. Let t be x(3). Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -6 (b) -96 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*c + j + 20, -3*j + 40 = 5*c. Suppose 3*q = 66 - 0. What is the greatest common divisor of c and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 + -52. Let b be 31\/((-3)\/(-3)) - (-3 - 0). Calculate the greatest common factor of b and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -23. Let a = j + -20. Suppose a = -24*g + 22*g + 14. List the prime factors of g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 2*r - 4416 = 0. Let w = r - -385. Calculate the remainder when w is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 3. Let j be o(-5). Let a(x) = -2*x - 10. Let u be a(j). Suppose -u*l - 2 + 14 = 0. Calculate the remainder when 4 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2466 + -1?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/27)\/((-7)\/(63\/2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43240, 1 in decreasing order.\nAnswer: 43240, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*o**4 + 2546024*k*o**3 + k*o**2 - 4232*k*o + k - 14*o**5 - o + 16 wrt o.\nAnswer: 48*k*o + 15276144*k - 840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/15 + 34*i**2\/15 - 44*i\/5.\nAnswer: -2*i*(i - 11)*(i - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50.36, -2, 1, 5.\nAnswer: -2, 1, 2, 5, 50.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160392 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**3 - 872*b**2 + 3404*b + 4280 = 0.\nAnswer: -1, 5, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/4 - 4*n**3\/3 - 7*n**2\/2 + 13*n - 8. Suppose -2*a + 9 = -1. Let c be m(a). Solve c*l + 12 = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -35, 5 in decreasing order.\nAnswer: 5, 2\/9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13447187 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 362, 433, 504, 575, 646?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -14\/3 (c) 10 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 199080\/311360 + (-108)\/7506?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 y when three letters picked without replacement from wewywywwwytwteywyw?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -298285 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 787 + -1226. Let n = g + 311. Let w = n - -300. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 - 3*s + 3. Let v be d(3). Let y be 7\/v + 121801\/6. What is y rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.317, 0.19 in ascending order.\nAnswer: 0.19, 0.317, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11241 * -0.0993.\nAnswer: -1116.2313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s - 4. Let y be -8 + 6 + -3*(-2)\/3. What is g(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 9 = 60*c - 28*c - 36*c, -35 = -5*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 184 - 1040 = 0. Suppose -2*w = -5*l + l + g, -5*l + w = -255. Calculate the highest common divisor of 136 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 15. Let v be r(9). Let w(o) = -o**3 + 6*o**2 - 5. Let g be w(v). Let b(x) = -6*x**2 + x. Let z be b(1). Are z and g non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1502100 and 125175?\nAnswer: 1502100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o = -9. Let l = o - -7. Solve l*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39905 or 39901?\nAnswer: 39901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/7 - 233\/63. Put -5, 0.1, b, -1.8 in ascending order.\nAnswer: -5, -1.8, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + 0*h)*(-3 + 2 + 3)*(-6*h - 3*h - 2*h) + (3 + h - 3)*(h - 3*h - h) in the form c + x*h**2 + s*h and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 162310992 and -8.\nAnswer: 162310984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27435586?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 151 + -138 - (66 - -33)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -ca3605?\nAnswer: -ca3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1272 - 1272 - 102*g**2)*(2*g - 2*g - 5*g).\nAnswer: 510*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 - 1 + (-2*p + 5*p - p)*(-1 - 1 + 1))*(5 - 2 - 2).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 5 - 1818\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7958, -10607, -13256, -15905, -18554?\nAnswer: -21203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - x + 3. Suppose -h + 6 = 1, 5*k + 30 = 3*h. Is 21 a factor of b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121961 and 532?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 13*q**2 + 21*q + 58. Give t(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 76\/5 of a minute?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d5c (base 15) in base 6?\nAnswer: -21540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-4 + -9) - -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*c + 15 = 16, 5*c = -2*d - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/7)\/((-21)\/(-49)))\/(134\/6)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 9 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 642 + -638. Solve 4*z = -8*b + 4*b + k, 4*z - 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/114131650 and -167\/150.\nAnswer: 342394950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4378446267 to the nearest integer?\nAnswer: 66170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1063, -3888, -10241, -21886, -40587, -68108?\n\"Answer: -294*r**3 - 767*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43646 and 25?\nAnswer: 1091150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4452 and 504042?\nAnswer: 53428452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, w: 1, l: 1, q: 2, p: 2, s: 1}. What is prob of sequence lp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y**2 - 7*y - 4. Let h(f) = 101*f - 1001. Let o be h(10). Let m(w) = 4*w**2 + 3*w + 2. Calculate o*m(d) + 4*l(d).\nAnswer: 4*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2141229 and -11.\nAnswer: 2141218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 171*z + 7. Suppose -2*j - 5*w + 1 = -3, 5*w + 4 = 2*j. Let a be k(j). What is the common denominator of (-18)\/(-30) + a\/60 and 29\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1970, 1945, 1920, 1895?\n\"Answer: -25*l + 1995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.05. Let r = -5.8 - -6. Let d = r - 0.4. Put h, d, 0.1 in increasing order.\nAnswer: d, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 3*w - 5. Let z be q(-4). Let i = 0.3 - 0.1. What is the second smallest value in z, -2, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -135*w - 1. Let x(u) = -2*u + 215617. What is x(y(r))?\nAnswer: 270*r + 215619","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -24.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*n + 73891 = -4180*n - 89965 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*y + 4*c, c + 4*c = y + 23. Suppose -4*u + 12 = -2*l, 3*l = -y*u + u + 10. Solve -u*v = -v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*n - 596, 57 = -8*m + 17. What is the greatest common divisor of n and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -31*k**8\/56 - 11*k**4\/12 + k. Find the third derivative of h(u) wrt u.\nAnswer: -3720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 104. What is the second biggest value in 5, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptptppptpwptpjp. Give prob of picking 1 j, 1 w, and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 76.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.8 - -26. What is the closest to x in 5, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*w + 5696820, 3*w - 22 = -10. Let i = u + 1063200. Suppose -k + i = -5*k. What is k rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 + k. Let p be g(-1). Suppose p*m = -2*w + 12, 4*w + 13 = -2*m + 5. What is the lowest common multiple of 2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgwf when four letters picked without replacement from iifhgighwfgiigwwi?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73532 and 10674?\nAnswer: 661788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 - 4880*f**2\/7 + 4876*f\/7.\nAnswer: 4*f*(f - 1219)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -21*l**2 + 6. Let c(d) = 18*d**2 - 5. Let x(z) = -5*c(z) - 4*q(z). Let n = -14 - -17. Suppose -1 = v, -4*s + v + n = 6. Determine x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 2:32 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywrxyxyryryyyryyry. Give prob of picking 1 x and 2 r.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*m = -40*m - 21575931. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*t - 86*t - 83 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 509 + 112. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 10*p**2 - p + 1. Is t(-8) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1844*p + 120 = 1874*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -19. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 + 2*x**5\/15 - x**4\/12 - x**3 - 291*x**2. What is l(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-42)*12\/(-20))\/((-1)\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/1)\/(-2)*(-8382)\/(-1524).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004402 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 3. Let k be r(3). Suppose 2*t + 2*m - 450 = 0, k*t + 0*m - 663 = 3*m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s + 3*s**2 + 3*s + 6 + 8*s**3 - 9*s**2. Suppose -5*z - 2*j + 43 = 3, -z - 19 = -5*j. Let q(g) = g**3 - g**2 + g + 1. Calculate z*q(t) - i(t).\nAnswer: -2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1467 + -1469. What is the nearest to p in 3, -2\/9, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-35)*-27*(-5)\/(-10)*-2*-7\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kcuckqqkckkqckq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 6*y**2 + 2*y - 2. Give f(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -3, -7\/23, 103\/22?\nAnswer: -7\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o = -4*m + 3968, m - 4*o = 975. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-152)\/72 - (56\/18 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*t**3 - 106 + 42*t**3 - 12*t**3 + t wrt t?\nAnswer: 237*t**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.155582169 rounded to 3 dps?\nAnswer: 3.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 1:26 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 + j**2 - j - 1. Let q(m) be the second derivative of -1\/12*m**4 - 1\/2*m**2 + 0 - 1\/2*m**3 - 2*m. Let g be q(-3). Determine i(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = 28*w - 9*w + 84 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 7*g + 6. Let n be t(-5). Let x be 4\/5*(-10)\/n. Suppose 0*k = x*k. Solve -2*r + k*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1780, 0, -214 in descending order.\nAnswer: 1780, 0, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/110*88\/539*7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 4*p + 3. Let t be j(0). Solve 3*x = 4*h - 0*x - 23, -t*x - 21 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 divided by 139?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 8 = 0, 21*n - 7*r = 44*n - 20*n - r - 48 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*a + 4101 = 7848 + 8165 + 12503 for a.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1083 = 5*v - 847, -v - 2*z + 391 = 0. List the prime factors of v.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -68, -5, -18.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72956 and 3904?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1935*v + 1935*v + 3351*v**2 in the form c + d*v**2 + p*v and give d.\nAnswer: 3351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + -4b96b?\nAnswer: -4b9b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2. Let g(t) = 12712*t**2. Calculate g(i(f)).\nAnswer: 12712*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 8*t. Let g be c(4). Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 17, j: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -30420 (base 7) to base 15\nAnswer: -22e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k + 235*k + 1423 = 193 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(2\/30*62 + -4). Does 13 divide 208\/10*o\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36144524 + 2?\nAnswer: 36144526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a03 - 3c?\nAnswer: 9c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 49 + -41 + 14 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 8. Give c(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.8 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 79.1. What is the nearest to d in 3\/7, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12497 and -12497 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 16935053.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352152, 352214, 352316, 352458?\nAnswer: 352640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2425 or -2423?\nAnswer: -2423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 8*v - 5*v**2 + 0*v + v**2 in the form x + f*v**2 + k*v and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**3*t**2 + 3996*s*t**2 - 26025*t**2 wrt s?\nAnswer: 9*s**2*t**2 + 3996*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6606943 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2616*z = -2597*z - 361 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5700 and 8265.\nAnswer: 165300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/1260*10*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 6*i + 10. Let w be u(7). Suppose -17 = -w*j + 37. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 2*r - 2*r)*(-2 - r**2 + 2)*(4*r + 2*r - 4*r) in the form n*r**4 + x*r**3 + h*r + m*r**2 + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 10) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**2\/2 + 117890*m - 35353230 = 0.\nAnswer: -47454, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 12*q + 4*l = -195, 12 = 3*l. Is 41 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 - -129. Suppose 5*f - g*a - 3*a - 85 = 0, -3*a + 3 = 0. Let i = -71 - -233. What is the greatest common factor of f and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -354*s + 31. Let n(d) = -710*d + 63. Let p(u) = 5*m(u) - 2*n(u). Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -695 - -1389\/2. Let x = -13.84 + 14. Sort -0.3, -0.4, k, x in ascending order.\nAnswer: k, -0.4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 2. Let d be t(1). Suppose -5*j - d*o + 155 + 219 = 0, j = -5*o + 61. 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 the remainder when 881345 is divided by 172?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -1\/4, 1\/91, 0.01 in ascending order.\nAnswer: -1\/4, -0.05, 0.01, 1\/91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*q = 51, 0 = -3*l + 4*q + 17 + 17. Suppose 5*s = 2*j - l, 7 = s + 4*j - 7. Let p(n) = -n**3 - 2*n**2 + n + 2. Calculate p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 + 10*c - 6. Let n be 18\/2 - (18 + 12 - 25). Give q(n).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-18))\/(145\/18 + -8). Solve -2*n = 5*m + 15, 70*n = -y*m + 71*n + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1056 - 888. What is the greatest common divisor of 70 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 15447789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*-4 + sqrt(132))\/(sqrt(72)\/sqrt(294)) + -5.\nAnswer: -5 + 91*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39180910.\nAnswer: 2, 5, 61, 64231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3666131 - -100?\nAnswer: 3666231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 62*n + 34. Let s(a) = a - 11. What is k(w) + 3*s(w)?\nAnswer: 65*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t - 149. Calculate the remainder when 97 is divided by b(29).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 3898, 13073, 30942, 60403, 104354?\nAnswer: 165693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 278*s + 2. Let j(o) = -34*o. What is j(c(r))?\nAnswer: -9452*r - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*g = -14, -4*k - g - g - 12 = 0. Let z(t) = t + 4. Let q be z(k). Let l(c) = 2*c**q + 0*c**2 - c**2 - 2*c**2. Let v(d) = -4*d. What is v(l(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68318732 divided by -6.\nAnswer: -34159366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5951aa (base 12) to base 7.\nAnswer: 15144241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -96682005*l*m + 32385*m - 1051 with respect to l.\nAnswer: -96682005*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**2 - 12 + 12 + (0 + 0 - 2)*(2*c + 0 + 0)*(-2*c + 2*c - 2*c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*q**3 - 354*q**3 + 122*q**3 + 115*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2383, 0.5, 105, -0.3?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 + -5 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/5169505 and -127\/2255784?\nAnswer: 124068120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = o - 2, 2*i + i + 3 = 0. Let z(p) = -p**2 - 9*p + 19 + 23 - 32 + 0*p**2. Calculate the remainder when z(-8) is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4)*h)\/h)\/h*h\/(h*h*(h*(h**(-2\/23)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-153\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 0*u + 4*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 6. Let b be g(5). Let h be (-1)\/22 + (-10785)\/2310. What is the closest to -1 in h, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/28 + (-22)\/(-8) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12855 - -12860. Solve -c*v = -5*r - 2*v - 28, -3*r - v = 14 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 14) in base 9?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 23 = -12. Solve 4*b + r - 16 = -3*r, h*b - 14 = r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63859+14205.6213\nAnswer: -49653.3787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t - 4*t)*(5*t - 6*t - 3*t) + (311 + 5*t - 311)*(-4 - t + 4 + 5) - 4*t**2 - 4*t**2 - 3*t**2.\nAnswer: -8*t**2 + 25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 + 284*f + 147. Determine q(-40).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102.\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*m - 3841 = 0, 2*m - 4*m = -3*q + 2295. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*v - 15, -5*u + 0*v - v = -12. Suppose -2*i = 1 + u. Let s(o) = o**2 - o - 1. Give s(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 16. Let y(d) = d**3 + d**2 + 2*d - 2. Let m be y(3). Suppose 5*k - m = b*k. Calculate the remainder when k is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*o + 12 + 12 = 0, 4*n + 3*o = 34. Let p be 1*(-5 - 1)\/(-2). Factor 1\/2*q**2 + n - p*q.\nAnswer: (q - 4)*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 920*o**2 + 7456*o + 14976.\nAnswer: -2*(o - 468)*(o + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -493 - -460.16. Let r = -11.795 - y. Let h = r + -21. Round h to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(130) + (3*sqrt(130) - sqrt(130))) + sqrt(130) + (sqrt(130) - (sqrt(130) + sqrt(130)*3))*6)\/(sqrt(160)\/sqrt(4) + -1*sqrt(360)) + 1.\nAnswer: -2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1793715.\nAnswer: 3, 5, 7, 11, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**3 - 26*c**3 - 39*c + 97*c - 58*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**2 - 8*b + 20. Let k(d) = 4*d**2 + 7 - 3*d + 2*d**2 - 2*d**2. Let a(w) = 8*k(w) - 3*q(w). Differentiate a(o) wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211002321 (base 4) to base 6.\nAnswer: -3130253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221805788?\nAnswer: 2, 55451447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6 (b) 3\/5 (c) -4\/7 (d) -93 (e) -1.209\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21295402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256681837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1012102211122?\nAnswer: 1012102211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*z - 3)*(-87*z - 34*z + 241*z) - 181*z**2 - 180*z**2 - 1 + 6 - 5 + 2*z**2 - 3 + 3.\nAnswer: -599*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4531 + 133*t - 4530 + 88*t - 2*t**2 to the form v*t + j*t**2 + n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 4*r**2 - 16*r**2 - 12*r**2 - 18*r**2.\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100100100111 (base 2) to base 16.\nAnswer: 18927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from lffw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 90.15773 decades?\nAnswer: 901.5773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2184 and 43948128?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9599123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-2 - 15\/(-4)). Let k = 17 + o. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320324 and 8560?\nAnswer: 685493360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-254)\/(-10))\/(222\/(-185)) and -36\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511204042 - 511204042 - 46*u**2.\nAnswer: -46*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 9, w: 1, l: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 428 = -4*z. Suppose 3*s = -2*s + z. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 194\/(-14) - -14 - 151\/(-805) and 3\/46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -88*i**4\/3 - 214*i**3\/3 - 56*i**2 - 46*i\/3 - 4\/3 = 0.\nAnswer: -1, -1\/4, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 16*l**2 + 3*l - 15. Let h be r(16). What is the greatest common factor of 88 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 74 - 956*r + 4669*r + 38 as j + t*r and give t.\nAnswer: 3713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1. Let u(z) = z**2 + 10*z + 4. Let o(k) = 6*m(k) - u(k). What is o(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 + u**2 - u + 1. Let w be v(1). Let d(g) = 8*g + 1. Let b(i) = 4*i + 1. Let o(x) = w*b(x) - 3*d(x). What is the first derivative of o(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/4))**(-12))**16)**(1\/61) assuming n is positive.\nAnswer: n**(48\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = 2*d, 4*g - 3*d - 23 = 32. Let l(a) = 3*a**2 + 2 - g*a - 2. Let q(r) = -2*r**2 + 7*r. Let v = -556945 - -556941. Calculate v*l(b) - 7*q(b).\nAnswer: 2*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3617 + 1695 + 871)*(4*v - 4*v + v).\nAnswer: -1051*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 15. Let g(y) = 2*y + 7. Let t(q) = -5*g(q) - 2*s(q). Let n(u) = u + 1. Determine -5*n(x) - t(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8\/217768519 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**2 - 1. Let t(g) = 54*g - 95*g + 39*g. Let r(w) = -5*c(w) + 4*t(w). What is r(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 34. Let y be n(-19). Put 2, -3, y in increasing order.\nAnswer: -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/5)\/(2\/(-6)). Let f = b + -14\/5. Let k = 2.987108 - 0.987108. What is the closest to k in -12, -0.1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duduududddudd. Give prob of sequence duu.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -9\/5, -16, 0.4, 0.1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((32 - 37) + 22).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -403.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*p**4 - 3\/5*p**3 - p**2 + 3\/5*p + 1\/5.\nAnswer: (p - 1)**2*(p + 1)*(4*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2 + 3 - -2. Suppose -3*d = f - 2. Let m be -3 + (5 + -3)\/2. Sort m, 3, d in descending order.\nAnswer: 3, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 112*l + 3. Let z be s(3). Suppose 2*u + u = z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 51796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*s + 9*h - 4*h, 74 = 5*s + 2*h. Let z be 1\/1 - (-1 - 0). Solve -5*y - z*c - 15 = 0, 3*y - 3*c = 6*y + s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g. Let l(s) = -138*s. Give w(l(t)).\nAnswer: 966*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 3*l**5\/5 - 3*l**4\/4 - l**3 + 3*l**2\/2 - 3. Factor s(d).\nAnswer: 3*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*613\/1839*-15)\/(30\/(-2))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -45*v. Let a(x) = -44279*x. What is m(a(y))?\nAnswer: 1992555*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.141096 + 0.511159. Let j = -1.52 + 0.89. Let g = w - j. Round g to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/336 and 63\/64.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h + 3 = 0. Which is the nearest to h? (a) -1 (b) 0.1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (178 + -174)*10\/(-8). Suppose 3 = -p + 1. Put 2, p, r, -3 in descending order.\nAnswer: 2, p, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 24*c**2 + 33*c + 72. Let r be f(25). Let w = r - -91. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -12\/35, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - ((-13 - -14) + -2 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v - 5*v + v**2 + 10*v + 4. Is a(-16) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2534220 divided by -506844\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. List the prime factors of ((-9)\/(-5))\/(1\/w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 16*o = 21*o + 248385, 4*x + 3*o = 198729. What are the prime factors of x?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyyy. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:10 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - y**2)*(2*y - 3 + 3 + 2*y + 0*y + 0*y + (0 + 0 + 2*y)*(-1 + 0 + 2) + y + 3*y + 2*y).\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 4\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cucccuuccccccc. Give prob of picking 1 u and 1 c.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 30893000 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 0*b + 9 + 5\/2*b**2. Let f(d) = -d + 3. Let x(v) = 6*v - 17. Let g(p) = -34*f(p) - 6*x(p). Give l(g(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3*(-5)\/20)\/(3\/16). Let o(y) = -2*y**2 + 8*y + 3. What is o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1236, 3, 16 in ascending order.\nAnswer: -1236, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.15208504 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -2\/7 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7a46 + -4?\nAnswer: 7a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - -74. Let s(o) be the first derivative of 16*o**3 - 5*o**3 + 6*o**2 - i*o**3 - 28 - 4*o**3 + 12*o. Determine d, given that s(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let n(p) = 7*p + 6. Suppose -690 = -5*c + 2*f - 7*f, -3*f = 4*c - 557. Let x = -148 + c. Determine x*d(s) + n(s).\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(68) + 1 + 5 - (5*sqrt(68)*-1 - (-1 + 1 + sqrt(68))).\nAnswer: 1 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 81 + 54. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by 2594642.\nAnswer: -49\/2594642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -10*c**2 - 3*c. Let f(o) = 33*o. Give i(f(y)).\nAnswer: -10890*y**2 - 99*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 1624, 4223, 7842, 12469, 18092?\nAnswer: 24699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(16\/3))\/(m\/((m\/((m*(m\/m**(-32))\/m*m*m)\/m))\/m)) assuming m is positive.\nAnswer: m**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*z + 2*y + 77, -58 + 410 = -11*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 154*z - 2542. Calculate h(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + 69 + -1 + (1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 9)*(-8 - -1). Let j be (-56)\/b + 34\/(-14). Is (j + 5)*(-180)\/(-2) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 50 = -2*l + 6*l, -3*r + 3*l = -105. Calculate the greatest common divisor of r and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - (sqrt(1539) + (sqrt(1539) - (sqrt(1539) - (2*sqrt(1539) + 1))**2))) + (5 + sqrt(1539)*1)**2.\nAnswer: 99*sqrt(19) + 3104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 - 534344*h\/13 - 4274624\/13.\nAnswer: -2*(h + 8)*(h + 267164)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86797\/22 - 3946. Let z = 2\/59 - 63\/118. Let d = i - z. Which is the second smallest value? (a) -0.3 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150660 by -1439.\nAnswer: 150660\/1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and 2341.101.\nAnswer: 2341.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1346703 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 734*c**2 - 3732*c - 4464.\nAnswer: 2*(c - 6)*(c + 1)*(c + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k + 430. Let v = k + 118. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -6 (c) 3 (d) 2\/21 (e) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 55, 68, 85, 106, 131, 160?\n\"Answer: 2*n**2 + 3*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -849, -2 in decreasing order.\nAnswer: -2, -5, -849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1434 - -1440. Let g(y) be the first derivative of -9\/10*y**2 + 3\/5*y + 3\/5*y**3 + i - 3\/20*y**4. Factor g(k).\nAnswer: -3*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l + 3. Let r(c) = -4*c + 3. Determine 5*r(p) - 6*z(p).\nAnswer: -2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/3 (c) -20205 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 8:43 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101059?\nAnswer: 7, 14437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69760 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 9, c: 2, q: 2}. What is prob of sequence cmo?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 3.6062?\nAnswer: -3.6562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - sqrt(192)*2)*-6 + sqrt(192) + (sqrt(192) + 0 + (sqrt(192) - (sqrt(192) + -1) - sqrt(192)))**2 + (3*sqrt(192)*2)**2*6)*4.\nAnswer: 224*sqrt(3) + 165892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 154 + 50 = 0. Let v = t - -71. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 252.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 42.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 12\/5 (b) -2\/13 (c) 4\/3 (d) 316 (e) -5 (f) -1 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/69052 and -14\/1415.\nAnswer: 345260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - -78 - (1 - (-60 - -4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1914 and 1218.\nAnswer: 13398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 466.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = 4*t, -4*t - 5*g = -2*t - 9. Suppose 2*j = -2*a - 46, -j + 0*j - 41 = t*a. What is the units digit of (a - 0)*12\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofoof. Give prob of sequence ffoo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66825073 by -13867.\nAnswer: 4819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/20 + -577\/60. What is the common denominator of ((-10)\/89)\/(14 + -16) and f?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 33. Let j = -43 + c. Let y = j - -85. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51030 and 129195?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4f (base 16) in base 12?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - u - 48887, d - 13904 - 2401 = -u. What are the prime factors of d?\nAnswer: 2, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54614 - 3*r**2 - 54614.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.9918, 0.7, 3, -5?\nAnswer: -2.9918","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {v: 2, u: 4, y: 5}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*s**3 + s**2 + 526125*s + 692856614 with respect to s.\nAnswer: -48*s**2 + 2*s + 526125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 261 + -184. Let l = -77.00051 + a. What is l rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19))**(-16)\/((w\/((((w**2\/w)\/w*w)\/w*w)\/w))\/w)**25 assuming w is positive.\nAnswer: w**(32\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1, 0.3, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 9417.\nAnswer: 8475.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83796 and 530708?\nAnswer: 1592124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - -12) + 13 + (6 - -1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88073*h*w**2 + 4965*h*w - 2*w**2 - 31*w wrt w.\nAnswer: 176146*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 956075 to the power of 1\/2, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21. Which is the nearest to -2\/5? (a) 3 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 24 = h. Suppose 5*s = 3*s - z, 2*z + h = 2*s. What is the second derivative of -4*j + j**s + 5*j - j**2 - 9*j**3 wrt j?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 + 157 = 15*g. Let k be (-32 - -32)*(g + -2 - -1). What is the nearest to k in 7, 0.3, -1, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -25. Let p = f + -12. Suppose -a = 0, p*m - 5*a - 170 = -10*a. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 15) to base 14.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * -14.\nAnswer: 11.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 13*p + 12. Let i be g(-9). Let w = -47 + i. Suppose -3 = -3*a + 6. What is the remainder when w is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 3*t**2 + t. Let p(s) = s**3 + 14*s**2 + 12*s - 15. Let x be p(-13). Let w be u(x). What is the tens digit of (6 - w)*14\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.3 + 8.9. Let r = 2.4 + p. Let b be 1 + -3*(-2)\/2. What is the closest to -1 in r, b, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94003.74cm in kilometers?\nAnswer: 0.9400374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29199199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151115788?\nAnswer: 2, 17, 61, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5748 is divided by 1357?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/z*z)\/(z**(-3\/2)*z*z))\/(z**(2\/3)\/(z**7*z))*(z*z\/((z\/z**(-2\/5))\/z)*z)\/(z*z**(-2\/3))*z**(-2\/11)\/(z*z**(1\/5)*z) assuming z is positive.\nAnswer: z**(409\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 264*n**4 + n**2 - 108*n wrt n.\nAnswer: 6336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139666 + 80158 + 100401)*(-1 - 2 + 4)*(5 + 2*c - 5) as n + d*c and give d.\nAnswer: 81786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -60. Solve 12 = 4*x - c*x + 4*q, 5*q + 9 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44668 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/6 + (175\/(-21) - -9). Which is the third biggest value? (a) 2\/7 (b) 0 (c) l (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o - 3*o + r, 2*o - 3*r = 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 3*l**2 - 2*l - 2. Let p be c(4). Let n(g) = 5*g - 2*g + 23*g**2 - 6*g**2 + p. Let s be n(7). Round s to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21*0.523.\nAnswer: -0.10983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8\/(-48)*-6*-6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dudguuduudiquqgu. Give prob of picking 2 u, 1 i, and 1 d.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1110100011 (base 2) to base 9\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y - 54*y - 155*y**2.\nAnswer: -155*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*2\/(-42))\/(2\/(-7))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 7 = 19229*j - 19224*j - 4 + 1, 6 = 3*j + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/6 + 53*s\/3 - 464.\nAnswer: -(s - 58)*(s - 48)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2101332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (2 - -2) - -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c9 (base 13) to base 2.\nAnswer: -1111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*v - 5701*v**2 + 39*v + 2869*v**2 + 2883*v**2 - 21*v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23869 and -4.5?\nAnswer: -107410.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17655 (base 10) to base 8.\nAnswer: 42367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 92 + 281 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 210*s + 797. Determine c(101).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3 - 2*z**2 + 67550*z + 5*z**2 - 67561*z - 2*z**2. Give h(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2042217234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c + 91 = -133. Let u(w) be the third derivative of w**6\/120 - 2*w**5\/15 - 2*w**3\/3 + 17*w**2. Give u(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49276267 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -88089 or -88100?\nAnswer: -88089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 1. Let o(x) = -x**2 - 5*x + 4. Let u(f) = o(f) + 5*s(f). Calculate u(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from llbbblblblbbll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 0, 2*n - 3*l - 3 = -4*l. Suppose -n*d = -5*f - 4 - 11, -2*d + 2*f = -10. Calculate the least common multiple of d and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-1\/23)*k*k\/(k\/k**(2\/9)) assuming k is positive.\nAnswer: k**(469\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.57 + 0.57. What is the closest to y in -1\/3, -5, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*u + 115, -2*z - 71 = 5*u + 63. Find the common denominator of u and (153\/39 - 1) + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4\/21)*t**(-1\/29) assuming t is positive.\nAnswer: t**(-137\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -293*o - 345 + 52 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353808680?\nAnswer: 2, 5, 41, 215737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q - 7. Let j be z(-8). Let r = 116.9 - 117. What is the nearest to 1 in j, 3, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 12*f + 3. What is w(12)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, 3, 2\/21, 4.3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 10.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99177 is divided by 97895?\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + -1) - (-7 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - ((-9)\/1 + -4). Solve 2*h + 3*v = -4, 7*v = -3*h + 3*v - y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 4*w + 2. Suppose -10*d = -6*d - 12. Let m be k(d). Solve -5*j = 12 + m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -11, -0.5, 2\/101?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 i when four letters picked without replacement from giiisissiigiggii.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m - 1. Let v(j) = 9*j**2 + 4*j + 4. Suppose 0 = 2*f + 5*f - 28. Suppose -4 = f*l - 20. What is l*c(h) + v(h)?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.91 - -1.8004. What is f rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000149138586 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, i: 1, a: 4, v: 3}. What is prob of sequence aag?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -3)\/((-3)\/6). Let g = 21 + l. Let o = g - 3. Solve o = -3*m - m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1095*m - 98 + 98.\nAnswer: 1095*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 11 - (11 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {w: 5, n: 6, k: 1, e: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -279870404\/3 bigger than -93290134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/10 + -16*(-10)\/800?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4, 0 = 11*o - 9*o + 3*y - 14. Let i(s) = -2*s - 1. Let t(n) = 1. Calculate o*i(w) + 4*t(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r + 25. Let v be (-366)\/(-4) - ((-6)\/(-4) - 1). Let u be 14\/v + 4\/(-26). What are the prime factors of w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -51. Suppose 20 = q + d*q. Let s be (-1 - 9\/(-2))*2. Solve -t - 2*j = 0, -q*t = s*j - 3*j + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13949 and 8758.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22090*f = -a - 22089*f - 12, 4*a + f = -13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40354 = -10*n + 11906. Does 78 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a\/(a\/(a\/a**(-2\/11))))\/(a**(1\/3))**(15\/2) assuming a is positive.\nAnswer: a**(-79\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5783 + -5782.5542. Round j to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 0, -4, -15, 4, -3366 in increasing order.\nAnswer: -3366, -15, -5, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 0 - (-14 + 36 + (289 - 289))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145486 is divided by 324.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from odtztottzoavaaatvt.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17528 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, 231772.5, 1\/3 in decreasing order.\nAnswer: 231772.5, 1\/3, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 68.9355t?\nAnswer: 68935500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3673 and 4144458934.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176003, -707380, -1593001, -2832860, -4426951, -6375268, -8677805, -11334556?\nAnswer: -14345515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 3*b - 2*b + (4*b + 0*b - 3*b)*(-1 + 1 - 2) - 2*b - 3*b + 3*b + (-3 - 2 + 4)*(-1 + 1 - 3*b) - b + b - 2*b + 2*b - b - 3*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.19. Let r = 3135 + -3130. Put r, s, -2 in ascending order.\nAnswer: -2, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290740 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-106)\/(-1)*1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59504, -59481, -59458, -59435, -59412, -59389?\n\"Answer: 23*j - 59527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -113*z**2 - 13*z + 3. Let v(b) = 37*b**2 + 5*b - 1. Let c(r) = 3*p(r) + 8*v(r). What is c(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-144)\/(-6)*((-4)\/(-3) - 1). Suppose 0 = -11*i + n*i + 33. Let a = 27 + 6. Calculate the greatest common divisor of a and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-1*sqrt(121))\/sqrt(11))**2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 + (54 - 6) - -39?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*h + 4, 4*b - 8 = 6*b + 2*h. Sort b, 4, -3 in decreasing order.\nAnswer: 4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 17 = -2*j + a, 0 = 4*j - 3*a - 61. Suppose 2*g + 3*g + 7 = -k, 2*g = -k + 2. What is the remainder when j is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 73 - 9 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.93 - -0.92999735. Round a to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43757, -349333, -1178553, -2793239, -5455213, -9426297?\nAnswer: -14968313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 6*f + 3. Let b = 2 + 4. Let m be c(b). Does 6 divide -23*(m\/1 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 263822 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2108 = -0*g. Let d be 10509\/(-678)*(-3 + -2 + 3). What is the highest common divisor of d and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8915?\nAnswer: 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 6288, 0.09, 0, -4?\nAnswer: 6288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 1:12 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19886 is divided by 195.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220313 (base 4) in base 6?\nAnswer: 223543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**7\/150 + 89*y**6\/600 + 29*y**5\/150 - y**4\/5 - 2254*y**2. Solve g(w) = 0.\nAnswer: -12, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + -1.03. Let t = -1 - u. Let a = 79297 - 79296.6. What is the biggest value in 1\/3, a, 0.2, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 15*h - 51. Let y be f(18). Determine d, given that -9\/4 - 3\/4*d**2 + y*d = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.073646 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3047836 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 18. Let h = 9.1 + k. What is the nearest to 0.1 in h, -4, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.98159 - 1114741.01841. Let w = 1114750.69961 + x. Let y = -9.3 - w. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -14, -11, -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2096 - 2096 - 1077*b)*(0 - 2 + 0 - 2 + 1 - 1 - 4 + 4 + 2 + (0 + 1 - 3)*(2 - 1 + 1) - 4 + 5 - 3).\nAnswer: 8616*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 5. Suppose -180 + 164 = -2*u. What is k(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 5. Let z(m) = 32*m + 3. Let w be z(x). Calculate the greatest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b - 51 - 3*b + 51 as z*b + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25*234\/(-360)*60\/(-390)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/11624784 and 23\/62088.\nAnswer: 151122192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1952 and 57710.\nAnswer: 56324960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/84*9\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -79.44. Let c = -0.64 - d. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4907008*d**2 - 7168*d - 28672. Let k(l) = 2054*l**2 - 3*l - 12. Calculate 14336*k(o) - 6*z(o).\nAnswer: 4096*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -22) + (-1 - -21) - (110 - 2)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 10*s**3 + 38*s**2 - 9*s. Let f(b) = -2*b**3 - 10*b**2 + 2*b. Let z(n) = -9*f(n) - 2*k(n). Determine c so that z(c) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/10 + 4588\/(-620) - ((-90)\/21)\/1.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30688)\/12)\/(10\/45). Is (-25)\/(-125) + g\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 4235*n + 8622*n - 4234*n to g*n + o + q*n**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**3\/p)*p)\/p**(-4\/5))**(-1\/61))**6)**3 assuming p is positive.\nAnswer: p**(-72\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.177 - 7.047. Sort g, 0.5, -5, -4, -12 in ascending order.\nAnswer: -12, -5, -4, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.298 and -0.1?\nAnswer: -0.0298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*f + 67 - 131. What is the second biggest value in 7, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqsqstkitjt. Give prob of sequence qj.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -2*p**7\/315 + p**6\/36 - 2*p**5\/45 + p**4\/36 - p**2. Factor t(g).\nAnswer: -2*g*(g - 1)**2*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 bigger than 154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -69*f**2 + 846*f + 666. What is s(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143.64 or 16.262?\nAnswer: 16.262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4288297, -8576598, -12864899, -17153200, -21441501, -25729802?\n\"Answer: -4288301*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.085 + 0.585. Put -1\/3, h, -0.3 in decreasing order.\nAnswer: h, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 + i**4\/4 + i**3\/2 + 3*i**2\/2 - 3*i. Let l be h(-2). Sort -3, l, -5.\nAnswer: -5, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(68) + 3 - (1 + -4 + sqrt(68)))**2*4.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -149736 rounded to the nearest one thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 19090.13434?\nAnswer: 19095.13434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 1 (c) -7 (d) 35 (e) 57 (f) -5 (g) -2\/179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**7\/42 + r**3\/3 + 4*r + 1. Let j(k) be the first derivative of w(k). Find the second derivative of j(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 472049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2537*r - 49377. Calculate t(20).\nAnswer: 1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 - 402. Let v = g + 271. Calculate the smallest common multiple of 15 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 1086 = -3*l, -4*l + 3*p + 1435 = 0. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 - 13320312?\nAnswer: -13320111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(68) + sqrt(17)).\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = -5. Let g(v) = -6*v**3 - 5*v**2. Let w(n) = -3*n**3 - 2*n**2. Calculate j*g(z) + 5*w(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 45 (b) 4 (c) 5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17, 213, 897, 2327, 4761, 8457, 13673?\n\"Answer: 43*j**3 - 14*j**2 - 63*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/4, -5, -4, 113.576, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.50963 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d56 - -1?\nAnswer: d57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 = -25*g + 6 - 192 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 - 12*i - 28. Let f be z(-8). Solve -2*r + 3*r = -n - f, 5*r + 4 = 3*n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11408)\/40)\/(6\/(-15)). Suppose 10*d - 387 = v. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/1211679 and 43\/14?\nAnswer: 2423358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b3037 - -3?\nAnswer: -b3034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2661338?\nAnswer: 2, 379, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.32, -36752, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.32, -36752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32)\/(-1) + 0\/4 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13649844 is divided by 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37151 - 2266145\/61. Let w = u + -7045\/366. What is the common denominator of w and 77\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = x - j, -4*x - 5 = -2*j + 21. Let f(c) = c**2 + 3*c - 9. Is f(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(1 - -3) + 30. Let p = w - -31. What is the greatest common factor of p and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221762567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28227\/40 - -707. What is the common denominator of m and 59\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 38.9. Sort -5, 4, h in decreasing order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 - z + 1. Let i be d(-3). Suppose 13*k - i = 8*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438.292 - -436. Let r = -0.302 - z. Let q = 0.07 - r. What is q rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29646 - 3083155\/104. Let l = -188\/9 - -131\/36. Find the common denominator of x and l.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, 5, -5 in descending order.\nAnswer: 5, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 3 + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2420 + 2507. What is the remainder when 1477 is divided by x?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2030*t + 2030*t + 1447*t**3 + (2*t - 1 + 1)*(0*t**2 + 3*t**2 - t**2).\nAnswer: 1451*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4\/5 + 48*i**3\/5 - 162*i**2\/5 + 168*i\/5 - 57\/5 = 0. What is i?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/6 and -89\/684612.\nAnswer: 684612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(6\/(-4)). Calculate the remainder when 20 is divided by 0 + (12 - y - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(48) + sqrt(108)\/sqrt(9) + (sqrt(18)\/sqrt(6) + sqrt(3))*4 + -1)**2.\nAnswer: -28*sqrt(3) + 589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 116.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*a + 2. Let q = 8 - a. Is (-9779)\/(-21) + 8\/q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3886725 - 14086725. Round j to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 + -0.03. What is the second biggest value in t, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289 + 730 - 2*t**3 - 285 - 156.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3405*n**3 + n**2 - 5*n + 29?\nAnswer: 20430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9 = 5*q, -5*q + 8 = -x - 2*x. Let c = 3 + x. Suppose t + c*t = 6. Solve 0*f - 5*a + 17 = -2*f, t*f + 4*a = 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 - (5 + (-549)\/3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 2. Suppose 5*u - 3*u = 5*p - 5, -5*p - 4*u + 5 = 0. Suppose 3*q + 5*k - 19 = 0, -2*q - 4 = -5*k + 25. Sort p, d, q in decreasing order.\nAnswer: p, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**7\/42 + 353*l**6\/5 - 485*l**3\/6 + 760*l + 2. Find the second derivative of d(j) wrt j.\nAnswer: 20*j**3 + 25416*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2739214021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 525*k**2*u**2 + 331*u**2 with respect to k.\nAnswer: 1050*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**2 + c + 1. Determine o(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m**5\/m*m))\/(m**3\/(m*m*m**5*m*m)) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.838 - -0.162. Put h, -6, 1\/5 in descending order.\nAnswer: h, 1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2\/14)\/(62\/(-1674))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**5\/20 + 4*m**2. Let i(y) = 3*y + 6*y**2 - 2*y - y. Determine n(i(u)).\nAnswer: 108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from fdfdddrnfdddfdl.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -533248*-898\nAnswer: 478856704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-10) - 3\/15. What is the third derivative of 2*q**2 - 3*q**2 - q**2 + k*q**6 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/92013? (a) 2\/15 (b) 472 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*n - 32 + 26 = -0*c + n, -5*n = -7*c - 1 + 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 398, -4, 0.2, -5\/2, 3, 0.19, -1\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 4. Let v be t(6). Suppose 0 = 2*q - u - 5, -2*q = -v*u + 5*u - 9. Suppose q*x - 4*x = -200. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470084783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3552477? (a) 3 (b) 0.1 (c) -2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p + 4. Suppose 515 = p*w + 3*r + 200, 4 = 4*r. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274 + 279. Solve -5*z - 20 = 5*x, l*x + 0*z = -2*z - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 3 = -12*b - h, 6 = -4*b + 2*h. Let w(a) be the first derivative of 0*a**2 + b*a**3 + 4*a + 3\/4*a**4 - 3. Differentiate w(z) with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14741286308 + 0.034.\nAnswer: 14741286308.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -63, -120, -177, -234, -291?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6333 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2885*y - 34 = -2911*y + 5779*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 102?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 564, 820, 1076, 1332?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 6 = -508*c + 509*c, r = 2 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, g: 5, x: 3, f: 2, q: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 18*g**3 - 20 - 17 + 67*g**4 - 21*g**4. Find the third derivative of s(t) wrt t.\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 k when four letters picked without replacement from bttgkk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*g - 2, 6*f - 31 = 4*f + 5*g. Suppose 0 = -i - 2, i - 43 = -6*l + f*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krrwsrs. Give prob of picking 1 r and 1 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2478 + 4?\nAnswer: 2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -27, 34, 4\/15, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z**3 - 47770*z**2 + 111488*z - 63712 = 0.\nAnswer: -7964, 1, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9783*u + 8472079. Give k(-866).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 36*p = -35*p + 4, 3*m = -5*p - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(432)*4 - ((sqrt(432) + 3 - sqrt(432)) + 0) - 6*5*6*(sqrt(432) + -2))*-1)**2.\nAnswer: -1713600*sqrt(3) + 17407449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.2*1.4.\nAnswer: -17.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 13337214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8135145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*sqrt(156)*-2)\/((sqrt(120) - (sqrt(120) + sqrt(120)*-2) - sqrt(120))\/sqrt(10)).\nAnswer: -5 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 not equal to -358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 39*d - 223. Let z be r(6). What is the third derivative of 9*m**3 + 8*m**2 + 172*m**2 + z*m**3 + 69*m**3 - 11*m**2 wrt m?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 19 + (-9 - (-19 + 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4*c = 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let b = -6 - -18. Suppose -3*t = t - b. Let x(j) = -t*j - j + 5*j. Give n(x(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 - -42) + -10 + -15?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72555 divided by -36?\nAnswer: -24185\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 780?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 164*d - 3640 - 7840. Solve -28*w + 38*w = d for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -2*g**3\/3 + 9*g**2\/2 - 2*g - 6. Let i be j(4). Let y(f) = 2*f. Determine y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/((-12)\/(-90)). What is the common denominator of 58\/5 and (-292)\/d*(-3)\/20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-8)\/240*3190\/72. Let l = 62\/27 - s. Factor -27\/2*z**3 + 33\/2*z**2 + l*z**4 + 9\/4 - 3\/4*z**5 - 39\/4*z.\nAnswer: -3*(z - 3)*(z - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8989867?\nAnswer: 8989867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 10*k**2 + 24*k + 7. Let r be s(-6). Let q(d) = 12*d**3 - d**2 + 7*d - 5. Is q(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 90 = 15*s. Suppose -3 = -2*m + 2*h - 5, -m + 3*h = -s. Let n = 2 + -1. Which is the third biggest value? (a) 0.1 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6732 <= -6731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 40*r**2 + 8*r + 58. Let u(j) = 1 - 20 + 0*j - 13*j**2 - j - 2*j. Let l(g) = -3*q(g) - 8*u(g). Differentiate l(p) with respect to p.\nAnswer: -32*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}